GEONE - Pluri-Gaussian simulation (PGS)

Pluri-Gaussian simulation (PGS) in 1D, 2D and 3D.

A pluri-Gaussian simulation Z(x) is defined as Z(x) = f(T_1(x), T_2(x)) where

  • T_1, T_2 are two independent multi-Gaussian random fields (latent fields) defined over a same grid

  • f is a function defining the final value (categorical) in the field Z; it is given as a “flag”

Import what is required

[1]:

import numpy as np
import matplotlib.pyplot as plt
import matplotlib
import time
import pyvista as pv

# import package 'geone'
import geone as gn

[2]:

# Show version of python and version of geone
import sys
print(sys.version_info)
print('geone version: ' + gn.__version__)

sys.version_info(major=3, minor=13, micro=7, releaselevel='final', serial=0)
geone version: 1.3.1

[3]:

pv.set_jupyter_backend('static') # to get static plots within the jupyter notebook

Function geone.pgs.pluriGaussianSim

This function allows to generate realizations in 1D, 2D and 3D (see examples below). Conditional and unconditional simulations can be done. For conditional simulation, a kind of Metropolis-Hasting algorithm is used (see help of the function); if conditioning fails, it is possible to get less realizations than the specified number (warning is displayed depending on the verbose keyword argument).

In full output mode (keyword argument full_output=True (default)), in addition to the resulting Z fields, are retrieved in output: the two latent fields for every realization as well as a list of 1d-array (one per realization) containing the number of conditioning locations honoured at each iteration of the Metropolis-Hasting algorithm.

Example : conditional 1D PGS

[4]:

# Categories
ncat = 4
categVal = np.array([1, 2, 3, 4])

# Parameters for display (used further)
categCol = ['lightblue', 'darkgreen', 'orange', 'brown']
im_T1_display={'cmap':'terrain'}
im_T2_display={'cmap':'terrain'}
im_Z_display={'categ':True, 'categVal':categVal, 'categCol':categCol}

[5]:

# Simulation grid (domain)
# ------------------------
nx, ny, nz = 220, 1,   1    # number of cells
sx, sy, sz = 0.5, 1.0, 1.0  # cell unit
ox, oy, oz = 0.0, 0.0, 0.0  # origin

# Covariance model for T1, T2 (latent fields)
# -------------------------------------------
r_T1 = 15.0
w_T1 = 1.0
nu_T1 = 1.5
cov_model_T1 = gn.covModel.CovModel1D(elem=[
    ('matern', {'w':w_T1, 'r':gn.covModel.cov_matern_get_r_param(nu_T1, r_T1), 'nu':nu_T1}),
    ], name='cov_model_T1')

r_T2 = 30.0
w_T2 = 1.0
nu_T2 = 1.5
cov_model_T2 = gn.covModel.CovModel1D(elem=[
    ('matern', {'w':w_T2, 'r':gn.covModel.cov_matern_get_r_param(nu_T2, r_T2), 'nu':nu_T2}),
    ], name='cov_model_T2')

# Mean of T1, T2
mean_T1 = 0.0
mean_T2 = 0.0

# Flag definition
# ---------------
def flag_value(x, y):
    v0, v1, v2, v3 = categVal
    x1 = x < -0.5
    y1 = y < -1.
    y2 = y < 1.
    return v0 * x1 + (1-x1) * (v1 * y1 + (1-y1) * (v2*y2 + v3*(1-y2)))

# Pluri-Gaussian simulation: Z = flag_value(T1, T2)
# -------------------------------------------------

# ----- Parameters -----
# Conditioning data
#x = None
#v = None
##
x = np.array([17.25, 27.25, 54.25, 66.25, 75.25])
v = np.array([1, 1, 2, 4, 4])
v_col = [categCol[np.where(vv ==categVal)[0][0]] for vv in v] # for plotting hard data (used further)
# or:
#v_col = gn.imgplot.get_colors_from_values(v.astype(float), categ=True, categVal=categVal, categCol=categCol)

# Number of realizations and seed
nreal = 3
seed_sim = 1345
# ----------------------

# Simulation
np.random.seed(seed_sim)
t1 = time.time()
Z, T1, T2, n_cond_ok = gn.pgs.pluriGaussianSim(
    cov_model_T1, cov_model_T2, flag_value, nx, sx, ox,
    x=x, v=v,
    algo_T1='fft', params_T1={'mean':mean_T1},
    algo_T2='fft', params_T2={'mean':mean_T2, 'rangeFactorForExtensionMin':2},
    # algo_T1='classic', params_T1={'mean':mean_T1, 'nneighborMax':24}, # alternative algo for T1
    # algo_T2='classic', params_T1={'mean':mean_T2, 'nneighborMax':24}, # alternative algo for T2
    nreal=nreal,
    accept_init=0.75, accept_pow=2.0,
    mh_iter_min=100, mh_iter_max=200,
    full_output=True,
    verbose=4,
)
t2 = time.time()
print(f'Elapsed time: {t2-t1:.2g} sec')
print(f'Number of realizations generated: {Z.shape[0]}')

# Fill image
im_Z = gn.img.Img(nx=nx, ny=ny, nz=nz, sx=sx, sy=sy, sz=sz, ox=ox, oy=oy, oz=oz, nv=Z.shape[0], val=Z)
im_T1 = gn.img.Img(nx=nx, ny=ny, nz=nz, sx=sx, sy=sy, sz=sz, ox=ox, oy=oy, oz=oz, nv=T1.shape[0], val=T1)
im_T2 = gn.img.Img(nx=nx, ny=ny, nz=nz, sx=sx, sy=sy, sz=sz, ox=ox, oy=oy, oz=oz, nv=T2.shape[0], val=T2)

# Check conditioning
if x is not None and im_Z.nv > 0:
    # Get index of conditioning location in simulation grid
    x_grid_index = [gn.img.pointToGridIndex(xx, 0., 0., sx, sy, sz, ox, oy, oz) for xx in x]

    # Get value at hard data
    im_Z_value_at_x = np.asarray([[im_Z.val[i][grid_index[::-1]] for grid_index in x_grid_index]
                                  for i in range(im_Z.nv)])
    conditioning_ok = np.all(im_Z_value_at_x == v)
    print('Conditioning data honoured ?', conditioning_ok)
    if not conditioning_ok:
        #print('Conditioning data, peak-to-peak diff:', np.ptp(im_Z_value_at_x - v))
        print('Conditioning data, ok at:', 100*np.mean(im_Z_value_at_x == v), '%')

pluriGaussianSim: simulation 1 of 3...
pluriGaussianSim:   ... sim 1 of 3: MH iter 1 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 2 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 3 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 4 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 5 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 6 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 7 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 8 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 9 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 10 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 11 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 12 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 13 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 14 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 15 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 16 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 17 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 18 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 19 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 20 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 21 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 22 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 23 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 24 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 25 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 26 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 27 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 28 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 29 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 30 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 31 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 32 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 33 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 34 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 35 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 36 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 37 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 38 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 39 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 40 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 41 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 42 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 43 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 44 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 45 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 46 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 47 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 48 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 49 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 50 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 51 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 52 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 53 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 54 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 55 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 56 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 57 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 58 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 59 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 60 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 61 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 62 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 63 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 64 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 65 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 66 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 67 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 68 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 69 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 70 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 71 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 72 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 73 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 74 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 75 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 76 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 77 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 78 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 79 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 80 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 81 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 82 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 83 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 84 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 85 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 86 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 87 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 88 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 89 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 90 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 91 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 92 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 93 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 94 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 95 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 96 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 97 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 98 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 99 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 100 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 101 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 102 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 103 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 104 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 105 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 106 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 107 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 108 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 109 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 110 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 111 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 112 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 113 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 114 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 115 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 116 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 117 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 118 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 119 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 120 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 121 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 122 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 123 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 124 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 125 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 126 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 127 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 128 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 129 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 130 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 131 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 132 of 100,  200...
pluriGaussianSim: simulation 2 of 3...
pluriGaussianSim:   ... sim 2 of 3: MH iter 1 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 2 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 3 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 4 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 5 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 6 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 7 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 8 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 9 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 10 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 11 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 12 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 13 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 14 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 15 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 16 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 17 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 18 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 19 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 20 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 21 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 22 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 23 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 24 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 25 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 26 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 27 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 28 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 29 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 30 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 31 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 32 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 33 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 34 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 35 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 36 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 37 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 38 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 39 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 40 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 41 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 42 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 43 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 44 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 45 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 46 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 47 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 48 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 49 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 50 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 51 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 52 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 53 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 54 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 55 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 56 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 57 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 58 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 59 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 60 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 61 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 62 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 63 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 64 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 65 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 66 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 67 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 68 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 69 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 70 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 71 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 72 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 73 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 74 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 75 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 76 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 77 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 78 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 79 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 80 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 81 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 82 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 83 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 84 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 85 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 86 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 87 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 88 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 89 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 90 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 91 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 92 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 93 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 94 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 95 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 96 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 97 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 98 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 99 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 100 of 100,  200...
pluriGaussianSim: simulation 3 of 3...
pluriGaussianSim:   ... sim 3 of 3: MH iter 1 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 2 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 3 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 4 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 5 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 6 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 7 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 8 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 9 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 10 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 11 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 12 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 13 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 14 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 15 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 16 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 17 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 18 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 19 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 20 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 21 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 22 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 23 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 24 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 25 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 26 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 27 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 28 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 29 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 30 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 31 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 32 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 33 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 34 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 35 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 36 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 37 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 38 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 39 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 40 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 41 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 42 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 43 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 44 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 45 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 46 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 47 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 48 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 49 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 50 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 51 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 52 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 53 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 54 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 55 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 56 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 57 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 58 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 59 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 60 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 61 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 62 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 63 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 64 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 65 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 66 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 67 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 68 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 69 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 70 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 71 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 72 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 73 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 74 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 75 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 76 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 77 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 78 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 79 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 80 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 81 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 82 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 83 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 84 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 85 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 86 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 87 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 88 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 89 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 90 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 91 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 92 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 93 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 94 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 95 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 96 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 97 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 98 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 99 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 100 of 100,  200...
Elapsed time: 0.13 sec
Number of realizations generated: 3
Conditioning data honoured ? True

/home/julien/miniconda3/envs/py313/lib/python3.13/site-packages/geone/covModel.py:380: RuntimeWarning: invalid value encountered in scalar power
  u1 = (0.5*u)**nu

[6]:

# Set spacing in y direction (1 cell) to visualize images using gn.imgplot.drawImage2D
im_T1.sy = .2 * im_T1.sx*im_T1.nx
im_T2.sy = .2 * im_T2.sx*im_T2.nx
im_Z.sy = .2 * im_Z.sx*im_Z.nx

# Plot results
# ------------
ireal = 0 # realization to plot

# Fill image for flag
# ------------------
fnx, fny, fnz = 50, 50, 1
fox, foy, foz = im_T1.val[ireal].min(), im_T2.val[ireal].min(), 0.0
fsx, fsy, fsz = (im_T1.val[ireal].max() - fox)/fnx, (im_T2.val[ireal].max() - foy)/fny, 1.0
fx = fox + (np.arange(fnx)+0.5)*fsx
fy = foy + (np.arange(fny)+0.5)*fsy
yy, xx = np.meshgrid (fy, fx, indexing='ij')
fv = flag_value(xx, yy)
im_flag = gn.img.Img(nx=fnx, ny=fny, nz=fnz, sx=fsx, sy=fsy, sz=fsz, ox=fox, oy=foy, oz=foz, nv=1, val=fv)

# Plot
# ----
marker_loc = ['x', '+', 'd', 'o', '*']

plt.subplots(2,2, figsize=(15, 12))

# T1
plt.subplot(2,2,1)
gn.imgplot.drawImage2D(im_T1, iv=ireal, **im_T1_display)
# Add conditioning location
if x is not None:
    yc = im_T1.oy+0.5*im_T1.sy
    # plt.plot(x, yc*np.ones_like(x), 'rx', markersize=20)
    for i in range(len(x)):
        plt.scatter(x[i], yc, marker=marker_loc[i%len(marker_loc)], color='red', s=80, linewidths=1)

plt.title('T1')

# Z
plt.subplot(2,2,2)
gn.imgplot.drawImage2D(im_Z, iv=ireal, **im_Z_display)
# Add conditioning data
if x is not None:
    yc = im_Z.oy+0.5*im_Z.sy
    plt.scatter(x, yc*np.ones_like(x), marker='o', s=50, color=v_col, edgecolors='black', linewidths=1)

plt.title('Z')

# flag
plt.subplot(2,2,3)
gn.imgplot.drawImage2D(im_flag, **im_Z_display)
plt.xlabel('T1 value')
plt.ylabel('T2 value')
plt.title(f'Flag')

# Add conditioning location
if x is not None:
    indx, indy, indz = gn.img.pointToGridIndex(x, np.zeros_like(x), np.zeros_like(x), sx, sy, sz, ox, oy, oz)
    y1 = np.array([im_T1.val[ireal, iz, iy, ix] for ix, iy, iz in zip(indx, indy, indz)])
    y2 = np.array([im_T2.val[ireal, iz, iy, ix] for ix, iy, iz in zip(indx, indy, indz)])
    for i in range(len(y1)):
        plt.scatter(y1[i], y2[i], marker=marker_loc[i%len(marker_loc)], color='red', s=80, linewidths=1)

# T2
plt.subplot(2,2,4)
gn.imgplot.drawImage2D(im_T2, iv=ireal, **im_T2_display)
# Add conditioning location
if x is not None:
    yc = im_T2.oy+0.5*im_T2.sy
    # plt.plot(x, yc*np.ones_like(x), 'rx', markersize=20)
    for i in range(len(x)):
        plt.scatter(x[i], yc, marker=marker_loc[i%len(marker_loc)], color='red', s=80, linewidths=1)

plt.title('T2')

plt.show()
../_images/notebooks_ex_pgs_8_0.png 
[7]:

# Plot 3 realizations of Z
plt.subplots(3,1, sharex=True, sharey=True, figsize=(15,6))
plt.subplot(3,1,1)
for j in range(3):
    plt.subplot(3,1,j+1)
    gn.imgplot.drawImage2D(im_Z, iv=j, **im_Z_display)
    if x is not None:
        yc = im_Z.oy+0.5*im_Z.sy
        plt.scatter(x, yc*np.ones_like(x), marker='o', s=50, color=v_col, edgecolors='black', linewidths=1)
    plt.title(f'real #{j}')

plt.show()
../_images/notebooks_ex_pgs_9_0.png 
[8]:

# Plot number of conditioning data honoured as function of iteration (Metropolis-Hasting / Gibbs sampler)
if x is not None:
    plt.figure(figsize=(16,8))
    for j in range(3):
        plt.plot(n_cond_ok[j], label=f'real #{j}')

    plt.grid()
    plt.legend()
    plt.title('Number of hard data honoured as function of Gibbs iteration')
    plt.show()
../_images/notebooks_ex_pgs_10_0.png

100 realizations (same setup)

[9]:

# Number of realizations and seed
nreal = 100
seed_sim = 1345

# Simulation
np.random.seed(seed_sim)
t1 = time.time()
Z = gn.pgs.pluriGaussianSim(
    cov_model_T1, cov_model_T2, flag_value, nx, sx, ox,
    x=x, v=v,
    algo_T1='fft', params_T1={'mean':mean_T1},
    algo_T2='fft', params_T2={'mean':mean_T2, 'rangeFactorForExtensionMin':2},
    # algo_T1='classic', params_T1={'mean':mean_T1, 'nneighborMax':24}, # alternative algo for T1
    # algo_T2='classic', params_T1={'mean':mean_T2, 'nneighborMax':24}, # alternative algo for T2
    nreal=nreal,
    accept_init=0.75, accept_pow=2.0,
    mh_iter_min=100, mh_iter_max=200,
    full_output=False,
    verbose=2,
)
t2 = time.time()
print(f'Elapsed time: {t2-t1:.2g} sec')
print(f'Number of realizations generated: {Z.shape[0]}')

# Fill image
im_Z = gn.img.Img(nx=nx, ny=ny, nz=nz, sx=sx, sy=sy, sz=sz, ox=ox, oy=oy, oz=oz, nv=Z.shape[0], val=Z)

# Check conditioning
if x is not None and im_Z.nv > 0:
    # Get index of conditioning location in simulation grid
    x_grid_index = [gn.img.pointToGridIndex(xx, 0., 0., sx, sy, sz, ox, oy, oz) for xx in x]

    # Get value at hard data
    im_Z_value_at_x = np.asarray([[im_Z.val[i][grid_index[::-1]] for grid_index in x_grid_index]
                                  for i in range(im_Z.nv)])
    conditioning_ok = np.all(im_Z_value_at_x == v)
    print('Conditioning data honoured ?', conditioning_ok)
    if not conditioning_ok:
        #print('Conditioning data, peak-to-peak diff:', np.ptp(im_Z_value_at_x - v))
        print('Conditioning data, ok at:', 100*np.mean(im_Z_value_at_x == v), '%')

pluriGaussianSim: simulation 1 of 100...
pluriGaussianSim: simulation 2 of 100...
pluriGaussianSim: simulation 3 of 100...
pluriGaussianSim: simulation 4 of 100...
pluriGaussianSim: simulation 5 of 100...
pluriGaussianSim: simulation 6 of 100...
pluriGaussianSim: simulation 7 of 100...
pluriGaussianSim: simulation 8 of 100...
pluriGaussianSim: simulation 9 of 100...
pluriGaussianSim: simulation 10 of 100...
pluriGaussianSim: simulation 11 of 100...
pluriGaussianSim: simulation 12 of 100...
pluriGaussianSim: simulation 13 of 100...
pluriGaussianSim: simulation 14 of 100...
pluriGaussianSim: simulation 15 of 100...
pluriGaussianSim: simulation 16 of 100...
pluriGaussianSim: simulation 17 of 100...
pluriGaussianSim: simulation 18 of 100...
pluriGaussianSim: simulation 19 of 100...
pluriGaussianSim: simulation 20 of 100...
pluriGaussianSim: simulation 21 of 100...
pluriGaussianSim: simulation 22 of 100...
pluriGaussianSim: simulation 23 of 100...
pluriGaussianSim: simulation 24 of 100...
pluriGaussianSim: simulation 25 of 100...
pluriGaussianSim: simulation 26 of 100...
pluriGaussianSim: simulation 27 of 100...
pluriGaussianSim: simulation 28 of 100...
pluriGaussianSim: simulation 29 of 100...
pluriGaussianSim: simulation 30 of 100...
pluriGaussianSim: simulation 31 of 100...
pluriGaussianSim: simulation 32 of 100...
pluriGaussianSim: simulation 33 of 100...
pluriGaussianSim: simulation 34 of 100...
pluriGaussianSim: simulation 35 of 100...
pluriGaussianSim: simulation 36 of 100...
pluriGaussianSim: simulation 37 of 100...
pluriGaussianSim: simulation 38 of 100...
pluriGaussianSim: simulation 39 of 100...
pluriGaussianSim: simulation 40 of 100...
pluriGaussianSim: simulation 41 of 100...
pluriGaussianSim: simulation 42 of 100...
pluriGaussianSim: simulation 43 of 100...
pluriGaussianSim: simulation 44 of 100...
pluriGaussianSim: simulation 45 of 100...
pluriGaussianSim: simulation 46 of 100...
pluriGaussianSim: simulation 47 of 100...
pluriGaussianSim: simulation 48 of 100...
pluriGaussianSim: simulation 49 of 100...
pluriGaussianSim: simulation 50 of 100...
pluriGaussianSim: simulation 51 of 100...
pluriGaussianSim: simulation 52 of 100...
pluriGaussianSim: simulation 53 of 100...
pluriGaussianSim: simulation 54 of 100...
pluriGaussianSim: simulation 55 of 100...
pluriGaussianSim: simulation 56 of 100...
pluriGaussianSim: simulation 57 of 100...
pluriGaussianSim: simulation 58 of 100...
pluriGaussianSim: simulation 59 of 100...
pluriGaussianSim: simulation 60 of 100...
pluriGaussianSim: simulation 61 of 100...
pluriGaussianSim: simulation 62 of 100...
pluriGaussianSim: simulation 63 of 100...
pluriGaussianSim: simulation 64 of 100...
pluriGaussianSim: simulation 65 of 100...
pluriGaussianSim: simulation 66 of 100...
pluriGaussianSim: simulation 67 of 100...
pluriGaussianSim: simulation 68 of 100...
pluriGaussianSim: simulation 69 of 100...
pluriGaussianSim: simulation 70 of 100...
pluriGaussianSim: simulation 71 of 100...
pluriGaussianSim: simulation 72 of 100...
pluriGaussianSim: simulation 73 of 100...
pluriGaussianSim: simulation 74 of 100...
pluriGaussianSim: simulation 75 of 100...
pluriGaussianSim: simulation 76 of 100...
pluriGaussianSim: simulation 77 of 100...
pluriGaussianSim: simulation 78 of 100...
pluriGaussianSim: simulation 79 of 100...
pluriGaussianSim: simulation 80 of 100...
pluriGaussianSim: simulation 81 of 100...
pluriGaussianSim: simulation 82 of 100...
pluriGaussianSim: simulation 83 of 100...
pluriGaussianSim: simulation 84 of 100...
pluriGaussianSim: simulation 85 of 100...
pluriGaussianSim: simulation 86 of 100...
pluriGaussianSim: simulation 87 of 100...
pluriGaussianSim: simulation 88 of 100...
pluriGaussianSim: simulation 89 of 100...
pluriGaussianSim: simulation 90 of 100...
pluriGaussianSim: simulation 91 of 100...
pluriGaussianSim: simulation 92 of 100...
pluriGaussianSim: simulation 93 of 100...
pluriGaussianSim: simulation 94 of 100...
pluriGaussianSim: simulation 95 of 100...
pluriGaussianSim: simulation 96 of 100...
pluriGaussianSim: simulation 97 of 100...
pluriGaussianSim: simulation 98 of 100...
pluriGaussianSim: simulation 99 of 100...
pluriGaussianSim: simulation 100 of 100...
pluriGaussianSim: WARNING: some realization failed (missing)
Elapsed time: 3.8 sec
Number of realizations generated: 95
Conditioning data honoured ? True

[10]:

# Set spacing in y direction (1 cell) to visualize images using gn.imgplot.drawImage2D
im_Z.sy = .2 * im_Z.sx*im_Z.nx

# Statistics (proportion map)
# ---------------------------
im_Z_stats = gn.img.imageCategProp(im_Z, categVal)

prop_col = categCol # colors for the proportion maps
cmap = [gn.customcolors.custom_cmap(['white', c]) for c in prop_col]

# Plot
# ----
plt.subplots(2,2, sharex=True, sharey=True, figsize=(15,5))
plt.subplot(2,2,1)
for j in range(4):
    plt.subplot(2,2,j+1)
    gn.imgplot.drawImage2D(im_Z_stats, iv=j, cmap=cmap[j], vmin=0, vmax=1)
    if x is not None:
        yc = im_Z.oy+0.5*im_Z.sy
        plt.scatter(x, yc*np.ones_like(x), marker='o', s=50, color=v_col, edgecolors='black', linewidths=1)
    plt.title(f'proportion map ({im_Z.nv} real.), facies {categVal[j]}')

plt.show()
../_images/notebooks_ex_pgs_13_0.png

Example : conditional 2D PGS

[11]:

# Categories
ncat = 4
categVal = np.array([1, 2, 3, 4])

# Parameters for display (used further)
categCol = ['lightblue', 'darkgreen', 'orange', 'brown']
im_T1_display={'cmap':'terrain'}
im_T2_display={'cmap':'terrain'}
im_Z_display={'categ':True, 'categVal':categVal, 'categCol':categCol}

[12]:

# Simulation grid (domain)
# ------------------------
nx, ny, nz = 220, 210, 1    # number of cells
sx, sy, sz = 0.5, 0.5, 1.0  # cell unit
ox, oy, oz = 0.0, 0.0, 0.0  # origin

# Covariance model for T1, T2 (latent fields)
# -------------------------------------
r_T1 = 1.0*np.array([25.0, 25.0])
w_T1 = 1.0
nu_T1 = 1.5
cov_model_T1 = gn.covModel.CovModel2D(elem=[
    ('matern', {'w':w_T1, 'r':np.array([gn.covModel.cov_matern_get_r_param(nu_T1, r) for r in r_T1]), 'nu':nu_T1}),
    ], alpha=0.0, name='cov_model_T1')

r_T2 = 1.0*np.array([30.0, 10.0])
w_T2 = 1.0
nu_T2 = 1.5
cov_model_T2 = gn.covModel.CovModel2D(elem=[
    ('matern', {'w':w_T2, 'r':np.array([gn.covModel.cov_matern_get_r_param(nu_T2, r) for r in r_T2]), 'nu':nu_T2}),
    ], alpha=-45.0, name='cov_model_T2')

# Mean of T1, T2
mean_T1 = 0.0
mean_T2 = 0.0

# Flag definition
# ---------------
def flag_value(x, y):
    v0, v1, v2, v3 = categVal
    x1 = x < -0.5
    y1 = y < -1.
    y2 = y < 1.
    return v0 * x1 + (1-x1) * (v1 * y1 + (1-y1) * (v2*y2 + v3*(1-y2)))

# Pluri-Gaussian simulation: Z = flag_value(T1, T2)
# -------------------------------------------------

# ----- Parameters -----
# Conditioning data
#x = None
#v = None
##
x = np.array([[37.25, 25.25],
              [67.25, 24.25],
              [50.25, 52.25],
              [36.25, 80.25],
              [66.25, 81.25]])
v = np.array([1, 1, 2, 4, 4])
v_col = [categCol[np.where(vv ==categVal)[0][0]] for vv in v] # for plotting hard data (used further)
# or:
#v_col = gn.imgplot.get_colors_from_values(v.astype(float), categ=True, categVal=categVal, categCol=categCol)
##
##
#np.random.seed(123)
#nhd = 30
#x = np.array((ox + np.random.random(nhd)*nx*sx, oy + np.random.random(nhd)*ny*sy)).T
#v = np.random.choice(categVal, replace=True, size=nhd)
#v_col = [categCol[np.where(vv ==categVal)[0][0]] for vv in v] # for plotting hard data (used further)

# Number of realizations and seed
nreal = 3
seed_sim = 1345
# ----------------------

# Simulation
np.random.seed(seed_sim)
t1 = time.time()
Z, T1, T2, n_cond_ok = gn.pgs.pluriGaussianSim(
    cov_model_T1, cov_model_T2, flag_value, (nx, ny), (sx, sy), (ox, oy),
    x=x, v=v,
    algo_T1='fft', params_T1={'mean':mean_T1},
    algo_T2='fft', params_T2={'mean':mean_T2, 'rangeFactorForExtensionMin':2},
    # algo_T1='classic', params_T1={'mean':mean_T1, 'nneighborMax':24}, # alternative algo for T1
    # algo_T2='classic', params_T1={'mean':mean_T2, 'nneighborMax':24}, # alternative algo for T2
    nreal=nreal,
    accept_init=0.75, accept_pow=2.0,
    mh_iter_min=100, mh_iter_max=200,
    full_output=True,
    verbose=4,
)
t2 = time.time()
print(f'Elapsed time: {t2-t1:.2g} sec')
print(f'Number of realizations generated: {Z.shape[0]}')

# Fill image
im_Z = gn.img.Img(nx=nx, ny=ny, nz=nz, sx=sx, sy=sy, sz=sz, ox=ox, oy=oy, oz=oz, nv=Z.shape[0], val=Z)
im_T1 = gn.img.Img(nx=nx, ny=ny, nz=nz, sx=sx, sy=sy, sz=sz, ox=ox, oy=oy, oz=oz, nv=T1.shape[0], val=T1)
im_T2 = gn.img.Img(nx=nx, ny=ny, nz=nz, sx=sx, sy=sy, sz=sz, ox=ox, oy=oy, oz=oz, nv=T2.shape[0], val=T2)

# Check conditioning
if x is not None and im_Z.nv > 0:
    # Get index of conditioning location in simulation grid
    x_grid_index = [gn.img.pointToGridIndex(xx[0], xx[1], 0., sx, sy, sz, ox, oy, oz) for xx in x]

    # Get value at hard data
    im_Z_value_at_x = np.asarray([[im_Z.val[i][grid_index[::-1]] for grid_index in x_grid_index]
                                  for i in range(im_Z.nv)])
    conditioning_ok = np.all(im_Z_value_at_x == v)
    print('Conditioning data honoured ?', conditioning_ok)
    if not conditioning_ok:
        #print('Conditioning data, peak-to-peak diff:', np.ptp(im_Z_value_at_x - v))
        print('Conditioning data, ok at:', 100*np.mean(im_Z_value_at_x == v), '%')

/home/julien/miniconda3/envs/py313/lib/python3.13/site-packages/geone/covModel.py:380: RuntimeWarning: invalid value encountered in scalar power
  u1 = (0.5*u)**nu

pluriGaussianSim: simulation 1 of 3...
pluriGaussianSim:   ... sim 1 of 3: MH iter 1 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 2 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 3 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 4 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 5 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 6 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 7 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 8 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 9 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 10 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 11 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 12 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 13 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 14 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 15 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 16 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 17 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 18 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 19 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 20 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 21 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 22 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 23 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 24 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 25 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 26 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 27 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 28 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 29 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 30 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 31 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 32 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 33 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 34 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 35 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 36 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 37 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 38 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 39 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 40 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 41 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 42 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 43 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 44 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 45 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 46 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 47 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 48 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 49 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 50 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 51 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 52 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 53 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 54 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 55 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 56 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 57 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 58 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 59 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 60 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 61 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 62 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 63 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 64 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 65 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 66 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 67 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 68 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 69 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 70 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 71 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 72 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 73 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 74 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 75 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 76 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 77 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 78 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 79 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 80 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 81 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 82 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 83 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 84 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 85 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 86 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 87 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 88 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 89 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 90 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 91 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 92 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 93 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 94 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 95 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 96 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 97 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 98 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 99 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 100 of 100,  200...
pluriGaussianSim: simulation 2 of 3...
pluriGaussianSim:   ... sim 2 of 3: MH iter 1 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 2 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 3 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 4 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 5 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 6 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 7 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 8 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 9 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 10 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 11 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 12 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 13 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 14 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 15 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 16 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 17 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 18 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 19 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 20 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 21 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 22 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 23 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 24 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 25 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 26 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 27 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 28 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 29 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 30 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 31 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 32 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 33 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 34 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 35 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 36 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 37 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 38 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 39 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 40 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 41 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 42 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 43 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 44 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 45 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 46 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 47 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 48 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 49 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 50 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 51 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 52 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 53 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 54 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 55 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 56 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 57 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 58 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 59 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 60 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 61 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 62 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 63 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 64 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 65 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 66 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 67 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 68 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 69 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 70 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 71 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 72 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 73 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 74 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 75 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 76 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 77 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 78 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 79 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 80 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 81 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 82 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 83 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 84 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 85 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 86 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 87 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 88 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 89 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 90 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 91 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 92 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 93 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 94 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 95 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 96 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 97 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 98 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 99 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 100 of 100,  200...
pluriGaussianSim: simulation 3 of 3...
pluriGaussianSim:   ... sim 3 of 3: MH iter 1 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 2 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 3 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 4 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 5 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 6 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 7 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 8 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 9 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 10 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 11 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 12 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 13 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 14 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 15 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 16 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 17 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 18 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 19 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 20 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 21 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 22 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 23 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 24 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 25 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 26 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 27 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 28 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 29 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 30 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 31 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 32 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 33 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 34 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 35 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 36 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 37 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 38 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 39 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 40 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 41 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 42 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 43 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 44 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 45 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 46 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 47 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 48 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 49 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 50 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 51 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 52 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 53 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 54 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 55 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 56 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 57 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 58 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 59 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 60 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 61 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 62 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 63 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 64 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 65 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 66 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 67 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 68 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 69 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 70 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 71 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 72 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 73 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 74 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 75 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 76 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 77 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 78 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 79 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 80 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 81 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 82 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 83 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 84 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 85 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 86 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 87 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 88 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 89 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 90 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 91 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 92 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 93 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 94 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 95 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 96 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 97 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 98 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 99 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 100 of 100,  200...
Elapsed time: 0.49 sec
Number of realizations generated: 3
Conditioning data honoured ? True

[13]:

# Plot results
# ------------
ireal = 0 # realization to plot

# Fill image for flag
# ------------------
fnx, fny, fnz = 50, 50, 1
fox, foy, foz = im_T1.val[ireal].min(), im_T2.val[ireal].min(), 0.0
fsx, fsy, fsz = (im_T1.val[ireal].max() - fox)/fnx, (im_T2.val[ireal].max() - foy)/fny, 1.0
fx = fox + (np.arange(fnx)+0.5)*fsx
fy = foy + (np.arange(fny)+0.5)*fsy
yy, xx = np.meshgrid (fy, fx, indexing='ij')
fv = flag_value(xx, yy)
im_flag = gn.img.Img(nx=fnx, ny=fny, nz=fnz, sx=fsx, sy=fsy, sz=fsz, ox=fox, oy=foy, oz=foz, nv=1, val=fv)

# Plot
# ----
marker_loc = ['x', '+', 'd', 'o', '*']

plt.subplots(2,2, figsize=(15, 12))

# T1
plt.subplot(2,2,1)
gn.imgplot.drawImage2D(im_T1, iv=ireal, **im_T1_display)
# Add conditioning location
if x is not None:
    # plt.plot(x[:,0], x[:,1], 'rx', markersize=20)
    for i in range(len(x)):
        plt.scatter(x[i,0], x[i,1], marker=marker_loc[i%len(marker_loc)], color='red', s=80, linewidths=1)

plt.title('T1')

# Z
plt.subplot(2,2,2)
gn.imgplot.drawImage2D(im_Z, iv=ireal, **im_Z_display)
# Add conditioning data
if x is not None:
    plt.scatter(x[:,0], x[:,1], marker='o', s=50, color=v_col, edgecolors='black', linewidths=1)

plt.title('Z')

# flag
plt.subplot(2,2,3)
gn.imgplot.drawImage2D(im_flag, **im_Z_display)
plt.xlabel('T1 value')
plt.ylabel('T2 value')
plt.title(f'Flag')

# Add conditioning location
if x is not None:
    indx, indy, indz = gn.img.pointToGridIndex(x[:,0], x[:,1], np.zeros_like(x[:,0]), sx, sy, sz, ox, oy, oz)
    y1 = np.array([im_T1.val[ireal, iz, iy, ix] for ix, iy, iz in zip(indx, indy, indz)])
    y2 = np.array([im_T2.val[ireal, iz, iy, ix] for ix, iy, iz in zip(indx, indy, indz)])
    for i in range(len(y1)):
        plt.scatter(y1[i], y2[i], marker=marker_loc[i%len(marker_loc)], color='red', s=80, linewidths=1)

# T2
plt.subplot(2,2,4)
gn.imgplot.drawImage2D(im_T2, iv=ireal, **im_T2_display)
# Add conditioning location
if x is not None:
    # plt.plot(x[:,0], x[:,1], 'rx', markersize=20)
    for i in range(len(x)):
        plt.scatter(x[i,0], x[i,1], marker=marker_loc[i%len(marker_loc)], color='red', s=80, linewidths=1)

plt.title('T2')

plt.show()
../_images/notebooks_ex_pgs_17_0.png 
[14]:

# Plot 3 realizations of Z
plt.subplots(1,3, sharex=True, sharey=True, figsize=(16,8))
plt.subplot(1,3,1)
for j in range(3):
    plt.subplot(1,3,j+1)
    gn.imgplot.drawImage2D(im_Z, iv=j, **im_Z_display)
    if x is not None:
        plt.scatter(x[:,0], x[:,1], marker='o', s=50, color=v_col, edgecolors='black', linewidths=1)
    plt.title(f'real #{j}')

plt.show()
../_images/notebooks_ex_pgs_18_0.png 
[15]:

# Plot number of conditioning data honoured as function of iteration (Metropolis-Hasting / Gibbs sampler)
if x is not None:
    plt.figure(figsize=(16,8))
    for j in range(3):
        plt.plot(n_cond_ok[j], label=f'real #{j}')

    plt.grid()
    plt.legend()
    plt.title('Number of hard data honoured as function of Gibbs iteration')
    plt.show()
../_images/notebooks_ex_pgs_19_0.png

100 realizations (same setup)

[16]:

# Number of realizations and seed
nreal = 100
seed_sim = 1345

# Simulation
np.random.seed(seed_sim)
t1 = time.time()
Z = gn.pgs.pluriGaussianSim(
    cov_model_T1, cov_model_T2, flag_value, (nx, ny), (sx, sy), (ox, oy),
    x=x, v=v,
    algo_T1='fft', params_T1={'mean':mean_T1},
    algo_T2='fft', params_T2={'mean':mean_T2, 'rangeFactorForExtensionMin':2},
    # algo_T1='classic', params_T1={'mean':mean_T1, 'nneighborMax':24}, # alternative algo for T1
    # algo_T2='classic', params_T1={'mean':mean_T2, 'nneighborMax':24}, # alternative algo for T2
    nreal=nreal,
    accept_init=0.75, accept_pow=2.0,
    mh_iter_min=100, mh_iter_max=200,
    full_output=False,
    verbose=2,
)
t2 = time.time()
print(f'Elapsed time: {t2-t1:.2g} sec')
print(f'Number of realizations generated: {Z.shape[0]}')

# Fill image
im_Z = gn.img.Img(nx=nx, ny=ny, nz=nz, sx=sx, sy=sy, sz=sz, ox=ox, oy=oy, oz=oz, nv=Z.shape[0], val=Z)

# Check conditioning
if x is not None and im_Z.nv > 0:
    # Get index of conditioning location in simulation grid
    x_grid_index = [gn.img.pointToGridIndex(xx[0], xx[1], 0., sx, sy, sz, ox, oy, oz) for xx in x]

    # Get value at hard data
    im_Z_value_at_x = np.asarray([[im_Z.val[i][grid_index[::-1]] for grid_index in x_grid_index]
                                  for i in range(im_Z.nv)])
    conditioning_ok = np.all(im_Z_value_at_x == v)
    print('Conditioning data honoured ?', conditioning_ok)
    if not conditioning_ok:
        #print('Conditioning data, peak-to-peak diff:', np.ptp(im_Z_value_at_x - v))
        print('Conditioning data, ok at:', 100*np.mean(im_Z_value_at_x == v), '%')

pluriGaussianSim: simulation 1 of 100...
pluriGaussianSim: simulation 2 of 100...
pluriGaussianSim: simulation 3 of 100...
pluriGaussianSim: simulation 4 of 100...
pluriGaussianSim: simulation 5 of 100...
pluriGaussianSim: simulation 6 of 100...
pluriGaussianSim: simulation 7 of 100...
pluriGaussianSim: simulation 8 of 100...
pluriGaussianSim: simulation 9 of 100...
pluriGaussianSim: simulation 10 of 100...
pluriGaussianSim: simulation 11 of 100...
pluriGaussianSim: simulation 12 of 100...
pluriGaussianSim: simulation 13 of 100...
pluriGaussianSim: simulation 14 of 100...
pluriGaussianSim: simulation 15 of 100...
pluriGaussianSim: simulation 16 of 100...
pluriGaussianSim: simulation 17 of 100...
pluriGaussianSim: simulation 18 of 100...
pluriGaussianSim: simulation 19 of 100...
pluriGaussianSim: simulation 20 of 100...
pluriGaussianSim: simulation 21 of 100...
pluriGaussianSim: simulation 22 of 100...
pluriGaussianSim: simulation 23 of 100...
pluriGaussianSim: simulation 24 of 100...
pluriGaussianSim: simulation 25 of 100...
pluriGaussianSim: simulation 26 of 100...
pluriGaussianSim: simulation 27 of 100...
pluriGaussianSim: simulation 28 of 100...
pluriGaussianSim: simulation 29 of 100...
pluriGaussianSim: simulation 30 of 100...
pluriGaussianSim: simulation 31 of 100...
pluriGaussianSim: simulation 32 of 100...
pluriGaussianSim: simulation 33 of 100...
pluriGaussianSim: simulation 34 of 100...
pluriGaussianSim: simulation 35 of 100...
pluriGaussianSim: simulation 36 of 100...
pluriGaussianSim: simulation 37 of 100...
pluriGaussianSim: simulation 38 of 100...
pluriGaussianSim: simulation 39 of 100...
pluriGaussianSim: simulation 40 of 100...
pluriGaussianSim: simulation 41 of 100...
pluriGaussianSim: simulation 42 of 100...
pluriGaussianSim: simulation 43 of 100...
pluriGaussianSim: simulation 44 of 100...
pluriGaussianSim: simulation 45 of 100...
pluriGaussianSim: simulation 46 of 100...
pluriGaussianSim: simulation 47 of 100...
pluriGaussianSim: simulation 48 of 100...
pluriGaussianSim: simulation 49 of 100...
pluriGaussianSim: simulation 50 of 100...
pluriGaussianSim: simulation 51 of 100...
pluriGaussianSim: simulation 52 of 100...
pluriGaussianSim: simulation 53 of 100...
pluriGaussianSim: simulation 54 of 100...
pluriGaussianSim: simulation 55 of 100...
pluriGaussianSim: simulation 56 of 100...
pluriGaussianSim: simulation 57 of 100...
pluriGaussianSim: simulation 58 of 100...
pluriGaussianSim: simulation 59 of 100...
pluriGaussianSim: simulation 60 of 100...
pluriGaussianSim: simulation 61 of 100...
pluriGaussianSim: simulation 62 of 100...
pluriGaussianSim: simulation 63 of 100...
pluriGaussianSim: simulation 64 of 100...
pluriGaussianSim: simulation 65 of 100...
pluriGaussianSim: simulation 66 of 100...
pluriGaussianSim: simulation 67 of 100...
pluriGaussianSim: simulation 68 of 100...
pluriGaussianSim: simulation 69 of 100...
pluriGaussianSim: simulation 70 of 100...
pluriGaussianSim: simulation 71 of 100...
pluriGaussianSim: simulation 72 of 100...
pluriGaussianSim: simulation 73 of 100...
pluriGaussianSim: simulation 74 of 100...
pluriGaussianSim: simulation 75 of 100...
pluriGaussianSim: simulation 76 of 100...
pluriGaussianSim: simulation 77 of 100...
pluriGaussianSim: simulation 78 of 100...
pluriGaussianSim: simulation 79 of 100...
pluriGaussianSim: simulation 80 of 100...
pluriGaussianSim: simulation 81 of 100...
pluriGaussianSim: simulation 82 of 100...
pluriGaussianSim: simulation 83 of 100...
pluriGaussianSim: simulation 84 of 100...
pluriGaussianSim: simulation 85 of 100...
pluriGaussianSim: simulation 86 of 100...
pluriGaussianSim: simulation 87 of 100...
pluriGaussianSim: simulation 88 of 100...
pluriGaussianSim: simulation 89 of 100...
pluriGaussianSim: simulation 90 of 100...
pluriGaussianSim: simulation 91 of 100...
pluriGaussianSim: simulation 92 of 100...
pluriGaussianSim: simulation 93 of 100...
pluriGaussianSim: simulation 94 of 100...
pluriGaussianSim: simulation 95 of 100...
pluriGaussianSim: simulation 96 of 100...
pluriGaussianSim: simulation 97 of 100...
pluriGaussianSim: simulation 98 of 100...
pluriGaussianSim: simulation 99 of 100...
pluriGaussianSim: simulation 100 of 100...
Elapsed time: 15 sec
Number of realizations generated: 100
Conditioning data honoured ? True

[17]:

# Statistics (proportion map)
# ---------------------------
im_Z_stats = gn.img.imageCategProp(im_Z, categVal)

prop_col = categCol # colors for the proportion maps
cmap = [gn.customcolors.custom_cmap(['white', c]) for c in prop_col]

# Plot
# ----
plt.subplots(2,2, sharex=True, sharey=True, figsize=(15,12))
plt.subplot(2,2,1)
for j in range(4):
    plt.subplot(2,2,j+1)
    gn.imgplot.drawImage2D(im_Z_stats, iv=j, cmap=cmap[j], vmin=0, vmax=1)
    if x is not None:
        plt.scatter(x[:,0], x[:,1], marker='o', s=50, color=v_col, edgecolors='black', linewidths=1)
    plt.title(f'proportion map ({im_Z.nv} real.), facies {categVal[j]}')

plt.show()
../_images/notebooks_ex_pgs_22_0.png

Example : conditional 3D PGS

[18]:

# Categories
ncat = 4
categVal = np.array([1, 2, 3, 4])

# Parameters for display (used further)
categCol = ['lightblue', 'darkgreen', 'orange', 'brown']

[19]:

# Simulation grid (domain)
# ------------------------
nx, ny, nz = 120, 110, 55     # number of cells
sx, sy, sz = 0.5, 0.5, 1.0  # cell unit
ox, oy, oz = 0.0, 0.0, 0.0  # origin

# Covariance model for T1, T2 (latent fields)
# -------------------------------------
r_T1 = 1.0*np.array([15.0, 15.0, 15.0])
w_T1 = 1.0
nu_T1 = 1.5
cov_model_T1 = gn.covModel.CovModel3D(elem=[
    ('matern', {'w':w_T1, 'r':np.array([gn.covModel.cov_matern_get_r_param(nu_T1, r) for r in r_T1]), 'nu':nu_T1}),
    ('nugget', {'w':0.01*w_T1})
    ], alpha=0.0, beta=0.0, gamma=0.0, name='cov_model_T1')

r_T2 = 1.0*np.array([30.0, 10.0, 10.0])
w_T2 = 1.0
nu_T2 = 1.5
cov_model_T2 = gn.covModel.CovModel3D(elem=[
    ('matern', {'w':w_T2, 'r':np.array([gn.covModel.cov_matern_get_r_param(nu_T2, r) for r in r_T2]), 'nu':nu_T2}),
    ], alpha=-45.0, beta=0.0, gamma=0.0, name='cov_model_T2')

# Mean of T1, T2
mean_T1 = 0.0
mean_T2 = 0.0

# Flag definition
# ---------------
def flag_value(x, y):
    v0, v1, v2, v3 = categVal
    x1 = x < -0.5
    y1 = y < -1.
    y2 = y < 1.
    return v0 * x1 + (1-x1) * (v1 * y1 + (1-y1) * (v2*y2 + v3*(1-y2)))

# Pluri-Gaussian simulation: Z = flag_value(T1, T2)
# -------------------------------------------------

# ----- Parameters -----
# Conditioning data
#x = None
#v = None
##
x = np.array([[17.25, 15.25, 15.5],
              [47.25, 14.25, 23.5],
              [31.25, 32.25, 10.5],
              [18.25, 49.25, 20.5],
              [46.25, 48.25, 40.5]])
v = np.array([1, 1, 2, 4, 4])
v_col = [categCol[np.where(vv ==categVal)[0][0]] for vv in v] # for plotting hard data (used further)
# or:
#v_col = gn.imgplot.get_colors_from_values(v.astype(float), categ=True, categVal=categVal, categCol=categCol)

# Number of realizations and seed
nreal = 3
seed_sim = 13454
# ----------------------

# Simulation
np.random.seed(seed_sim)
t1 = time.time()
Z, T1, T2, n_cond_ok = gn.pgs.pluriGaussianSim(
    cov_model_T1, cov_model_T2, flag_value, (nx, ny, nz), (sx, sy, sz), (ox, oy, oz),
    x=x, v=v,
    algo_T1='fft', params_T1={'mean':mean_T1},
    algo_T2='fft', params_T2={'mean':mean_T2},# 'rangeFactorForExtensionMin':2},
    # algo_T1='classic', params_T1={'mean':mean_T1, 'nneighborMax':24}, # alternative algo for T1
    # algo_T2='classic', params_T1={'mean':mean_T2, 'nneighborMax':24}, # alternative algo for T2
    nreal=nreal,
    accept_init=0.75, accept_pow=2.0,
    mh_iter_min=100, mh_iter_max=200,
    full_output=True,
    verbose=4,
)
t2 = time.time()
print(f'Elapsed time: {t2-t1:.2g} sec')
print(f'Number of realizations generated: {Z.shape[0]}')

# Fill image
im_Z = gn.img.Img(nx=nx, ny=ny, nz=nz, sx=sx, sy=sy, sz=sz, ox=ox, oy=oy, oz=oz, nv=Z.shape[0], val=Z)
im_T1 = gn.img.Img(nx=nx, ny=ny, nz=nz, sx=sx, sy=sy, sz=sz, ox=ox, oy=oy, oz=oz, nv=T1.shape[0], val=T1)
im_T2 = gn.img.Img(nx=nx, ny=ny, nz=nz, sx=sx, sy=sy, sz=sz, ox=ox, oy=oy, oz=oz, nv=T2.shape[0], val=T2)

# Check conditioning
if x is not None and im_Z.nv > 0:
    # Get index of conditioning location in simulation grid
    x_grid_index = [gn.img.pointToGridIndex(xx[0], xx[1], xx[2], sx, sy, sz, ox, oy, oz) for xx in x]

    # Get value at hard data
    im_Z_value_at_x = np.asarray([[im_Z.val[i][grid_index[::-1]] for grid_index in x_grid_index]
                                  for i in range(im_Z.nv)])
    conditioning_ok = np.all(im_Z_value_at_x == v)
    print('Conditioning data honoured ?', conditioning_ok)
    if not conditioning_ok:
        #print('Conditioning data, peak-to-peak diff:', np.ptp(im_Z_value_at_x - v))
        print('Conditioning data, ok at:', 100*np.mean(im_Z_value_at_x == v), '%')

/home/julien/miniconda3/envs/py313/lib/python3.13/site-packages/geone/covModel.py:380: RuntimeWarning: invalid value encountered in scalar power
  u1 = (0.5*u)**nu

pluriGaussianSim: simulation 1 of 3...
pluriGaussianSim:   ... sim 1 of 3: MH iter 1 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 2 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 3 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 4 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 5 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 6 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 7 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 8 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 9 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 10 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 11 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 12 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 13 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 14 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 15 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 16 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 17 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 18 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 19 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 20 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 21 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 22 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 23 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 24 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 25 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 26 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 27 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 28 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 29 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 30 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 31 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 32 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 33 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 34 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 35 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 36 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 37 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 38 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 39 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 40 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 41 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 42 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 43 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 44 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 45 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 46 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 47 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 48 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 49 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 50 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 51 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 52 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 53 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 54 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 55 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 56 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 57 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 58 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 59 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 60 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 61 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 62 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 63 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 64 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 65 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 66 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 67 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 68 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 69 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 70 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 71 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 72 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 73 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 74 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 75 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 76 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 77 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 78 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 79 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 80 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 81 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 82 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 83 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 84 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 85 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 86 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 87 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 88 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 89 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 90 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 91 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 92 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 93 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 94 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 95 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 96 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 97 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 98 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 99 of 100,  200...
pluriGaussianSim:   ... sim 1 of 3: MH iter 100 of 100,  200...
pluriGaussianSim: simulation 2 of 3...
pluriGaussianSim:   ... sim 2 of 3: MH iter 1 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 2 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 3 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 4 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 5 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 6 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 7 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 8 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 9 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 10 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 11 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 12 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 13 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 14 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 15 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 16 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 17 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 18 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 19 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 20 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 21 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 22 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 23 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 24 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 25 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 26 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 27 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 28 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 29 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 30 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 31 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 32 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 33 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 34 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 35 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 36 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 37 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 38 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 39 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 40 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 41 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 42 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 43 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 44 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 45 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 46 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 47 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 48 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 49 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 50 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 51 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 52 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 53 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 54 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 55 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 56 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 57 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 58 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 59 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 60 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 61 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 62 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 63 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 64 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 65 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 66 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 67 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 68 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 69 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 70 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 71 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 72 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 73 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 74 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 75 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 76 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 77 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 78 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 79 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 80 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 81 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 82 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 83 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 84 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 85 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 86 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 87 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 88 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 89 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 90 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 91 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 92 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 93 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 94 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 95 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 96 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 97 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 98 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 99 of 100,  200...
pluriGaussianSim:   ... sim 2 of 3: MH iter 100 of 100,  200...
pluriGaussianSim: simulation 3 of 3...
pluriGaussianSim:   ... sim 3 of 3: MH iter 1 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 2 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 3 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 4 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 5 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 6 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 7 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 8 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 9 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 10 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 11 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 12 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 13 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 14 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 15 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 16 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 17 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 18 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 19 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 20 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 21 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 22 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 23 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 24 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 25 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 26 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 27 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 28 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 29 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 30 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 31 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 32 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 33 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 34 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 35 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 36 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 37 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 38 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 39 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 40 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 41 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 42 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 43 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 44 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 45 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 46 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 47 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 48 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 49 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 50 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 51 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 52 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 53 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 54 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 55 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 56 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 57 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 58 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 59 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 60 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 61 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 62 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 63 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 64 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 65 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 66 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 67 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 68 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 69 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 70 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 71 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 72 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 73 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 74 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 75 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 76 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 77 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 78 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 79 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 80 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 81 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 82 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 83 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 84 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 85 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 86 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 87 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 88 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 89 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 90 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 91 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 92 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 93 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 94 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 95 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 96 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 97 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 98 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 99 of 100,  200...
pluriGaussianSim:   ... sim 3 of 3: MH iter 100 of 100,  200...
Elapsed time: 11 sec
Number of realizations generated: 3
Conditioning data honoured ? True

[20]:

# Plot results
# ------------
ireal = 0 # realization to plot

# Fill image for flag
# ------------------
fnx, fny, fnz = 50, 50, 1
fox, foy, foz = im_T1.val[ireal].min(), im_T2.val[ireal].min(), 0.0
fsx, fsy, fsz = (im_T1.val[ireal].max() - fox)/fnx, (im_T2.val[ireal].max() - foy)/fny, 1.0
fx = fox + (np.arange(fnx)+0.5)*fsx
fy = foy + (np.arange(fny)+0.5)*fsy
yy, xx = np.meshgrid (fy, fx, indexing='ij')
fv = flag_value(xx, yy)
im_flag = gn.img.Img(nx=fnx, ny=fny, nz=fnz, sx=fsx, sy=fsy, sz=fsz, ox=fox, oy=foy, oz=foz, nv=1, val=fv)

# Plot flag
# ---------
plt.figure()
gn.imgplot.drawImage2D(im_flag, categ=True, categVal=categVal, categCol=categCol)
plt.xlabel('T1 value')
plt.ylabel('T2 value')
plt.title(f'Flag')
plt.show()
../_images/notebooks_ex_pgs_26_0.png 
[21]:

# Plot 3D fields
# --------------
# Plot "interactive in pop-up window" or "inline" (comment the undesired one) ...
# ... interactive (after closing the pop-up window, the position of the camera is retrieved in output)
#pp = pv.Plotter(shape=(1,3), window_size=(1024, 512), notebook=False)
# ... inline
pp = pv.Plotter(shape=(1,3), window_size=(1024, 512))

if x is not None:
    # data points to be added to 3D plot
    data_points = pv.PolyData(x)
    # ... set color for data points according to their value
    data_points_col = [matplotlib.colors.to_rgb(
        categCol[np.where(np.asarray(categVal) == i)[0][0]]) for i in v]
        # color for data points according to their value
    # or:
    #data_points_col = gn.imgplot.get_colors_from_values(v.astype(float), categ=True, categVal=categVal, categCol=categCol)

    data_points['colors'] = data_points_col

pp.subplot(0, 0)
gn.imgplot3d.drawImage3D_slice(
    im_T1,
    plotter=pp,
    slice_normal_x=im_T1.ox+0.5*im_T1.nx*im_T1.sx,
    slice_normal_y=im_T1.oy+0.5*im_T1.ny*im_T1.sy,
    slice_normal_z=im_T1.oz+0.5*im_T1.nz*im_T1.sz,
    cmap='rainbow', #**im_T1_display,
    text='T1',
    scalar_bar_kwargs={'title':'', 'title_font_size':20, 'vertical':False})

if x is not None:
    pp.add_mesh(data_points, rgb=True, point_size=12., render_points_as_spheres=True)

pp.subplot(0, 1)
gn.imgplot3d.drawImage3D_slice(
    im_T2,
    plotter=pp,
    slice_normal_x=im_T2.ox+0.5*im_T2.nx*im_T2.sx,
    slice_normal_y=im_T2.oy+0.5*im_T2.ny*im_T2.sy,
    slice_normal_z=im_T2.oz+0.5*im_T2.nz*im_T2.sz,
    cmap='terrain',#**im_T2_display,
    text='T2',
    scalar_bar_kwargs={'title':' ', 'title_font_size':20, 'vertical':False})

if x is not None:
    pp.add_mesh(data_points, rgb=True, point_size=12., render_points_as_spheres=True)

pp.subplot(0, 2)
gn.imgplot3d.drawImage3D_slice(
    im_Z,
    plotter=pp,
    slice_normal_x=im_Z.ox+0.5*im_Z.nx*im_Z.sx,
    slice_normal_y=im_Z.oy+0.5*im_Z.ny*im_Z.sy,
    slice_normal_z=im_Z.oz+0.5*im_Z.nz*im_Z.sz,
    categ=True, categVal=categVal, categCol=categCol,
    text='Z',
    scalar_bar_kwargs={'title':'  ', 'title_font_size':20, 'vertical':False})

if x is not None:
    pp.add_mesh(data_points, rgb=True, point_size=12., render_points_as_spheres=True)
# note: distinct title for scalar bar, so that it will be displayed!

pp.link_views()

pp.show(cpos=(360, 265, 110)) # position of the camera can be specified
../_images/notebooks_ex_pgs_27_0.png 
[22]:

# Plot 3 realizations of Z
# --------------
# Plot "interactive in pop-up window" or "inline" (comment the undesired one) ...
# ... interactive (after closing the pop-up window, the position of the camera is retrieved in output)
#pp = pv.Plotter(shape=(1,3), window_size=(1024, 512), notebook=False)
# ... inline
pp = pv.Plotter(shape=(1,3), window_size=(1024, 512))

if x is not None:
    # data points to be added to 3D plot
    data_points = pv.PolyData(x)
    # ... set color for data points according to their value
    data_points_col = [matplotlib.colors.to_rgb(categCol[np.where(np.asarray(categVal) == i)[0][0]]) for i in v]
        # color for data points according to their value
    # or:
    #data_points_col = gn.imgplot.get_colors_from_values(v.astype(float), categ=True, categVal=categVal, categCol=categCol)

    data_points['colors'] = data_points_col

for i in range(3):
    pp.subplot(0, i)
    gn.imgplot3d.drawImage3D_slice(
        im_Z, iv=i,
        plotter=pp,
        slice_normal_x=im_Z.ox+0.5*im_Z.nx*im_Z.sx,
        slice_normal_y=im_Z.oy+0.5*im_Z.ny*im_Z.sy,
        slice_normal_z=im_Z.oz+0.5*im_Z.nz*im_Z.sz,
        categ=True, categVal=categVal, categCol=categCol,
        text=f'real #{i}',
        scalar_bar_kwargs={'title':'  ', 'title_font_size':20, 'vertical':False})
    if x is not None:
        pp.add_mesh(data_points, rgb=True, point_size=12., render_points_as_spheres=True)

pp.link_views()

pp.show(cpos=(360, 265, 110)) # position of the camera can be specified
../_images/notebooks_ex_pgs_28_0.png 
[23]:

# Plot number of conditioning data honoured as function of iteration (Metropolis-Hasting / Gibbs sampler)
if x is not None:
    plt.figure(figsize=(16,8))
    for j in range(3):
        plt.plot(n_cond_ok[j], label=f'real #{j}')

    plt.grid()
    plt.legend()
    plt.title('Number of hard data honoured as function of Gibbs iteration')
    plt.show()
../_images/notebooks_ex_pgs_29_0.png

20 realizations (same setup)

[24]:

# Number of realizations and seed
nreal = 20
seed_sim = 1345

# Simulation
np.random.seed(seed_sim)
t1 = time.time()
Z = gn.pgs.pluriGaussianSim(
    cov_model_T1, cov_model_T2, flag_value, (nx, ny, nz), (sx, sy, sz), (ox, oy, oz),
    x=x, v=v,
    algo_T1='fft', params_T1={'mean':mean_T1},
    algo_T2='fft', params_T2={'mean':mean_T2},# 'rangeFactorForExtensionMin':2},
    # algo_T1='classic', params_T1={'mean':mean_T1, 'nneighborMax':24}, # alternative algo for T1
    # algo_T2='classic', params_T1={'mean':mean_T2, 'nneighborMax':24}, # alternative algo for T2
    nreal=nreal,
    accept_init=0.75, accept_pow=2.0,
    mh_iter_min=100, mh_iter_max=200,
    full_output=False,
    verbose=4,
)
t2 = time.time()
print(f'Elapsed time: {t2-t1:.2g} sec')
print(f'Number of realizations generated: {Z.shape[0]}')

# Fill image
im_Z = gn.img.Img(nx=nx, ny=ny, nz=nz, sx=sx, sy=sy, sz=sz, ox=ox, oy=oy, oz=oz, nv=Z.shape[0], val=Z)

# Check conditioning
if x is not None and im_Z.nv > 0:
    # Get index of conditioning location in simulation grid
    x_grid_index = [gn.img.pointToGridIndex(xx[0], xx[1], xx[2], sx, sy, sz, ox, oy, oz) for xx in x]

    # Get value at hard data
    im_Z_value_at_x = np.asarray([[im_Z.val[i][grid_index[::-1]] for grid_index in x_grid_index]
                                  for i in range(im_Z.nv)])
    conditioning_ok = np.all(im_Z_value_at_x == v)
    print('Conditioning data honoured ?', conditioning_ok)
    if not conditioning_ok:
        #print('Conditioning data, peak-to-peak diff:', np.ptp(im_Z_value_at_x - v))
        print('Conditioning data, ok at:', 100*np.mean(im_Z_value_at_x == v), '%')

pluriGaussianSim: simulation 1 of 20...
pluriGaussianSim:   ... sim 1 of 20: MH iter 1 of 100,  200...
pluriGaussianSim:   ... sim 1 of 20: MH iter 2 of 100,  200...
pluriGaussianSim:   ... sim 1 of 20: MH iter 3 of 100,  200...
pluriGaussianSim:   ... sim 1 of 20: MH iter 4 of 100,  200...
pluriGaussianSim:   ... sim 1 of 20: MH iter 5 of 100,  200...
pluriGaussianSim:   ... sim 1 of 20: MH iter 6 of 100,  200...
pluriGaussianSim:   ... sim 1 of 20: MH iter 7 of 100,  200...
pluriGaussianSim:   ... sim 1 of 20: MH iter 8 of 100,  200...
pluriGaussianSim:   ... sim 1 of 20: MH iter 9 of 100,  200...
pluriGaussianSim:   ... sim 1 of 20: MH iter 10 of 100,  200...
pluriGaussianSim:   ... sim 1 of 20: MH iter 11 of 100,  200...
pluriGaussianSim:   ... sim 1 of 20: MH iter 12 of 100,  200...
pluriGaussianSim:   ... sim 1 of 20: MH iter 13 of 100,  200...
pluriGaussianSim:   ... sim 1 of 20: MH iter 14 of 100,  200...
pluriGaussianSim:   ... sim 1 of 20: MH iter 15 of 100,  200...
pluriGaussianSim:   ... sim 1 of 20: MH iter 16 of 100,  200...
pluriGaussianSim:   ... sim 1 of 20: MH iter 17 of 100,  200...
pluriGaussianSim:   ... sim 1 of 20: MH iter 18 of 100,  200...
pluriGaussianSim:   ... sim 1 of 20: MH iter 19 of 100,  200...
pluriGaussianSim:   ... sim 1 of 20: MH iter 20 of 100,  200...
pluriGaussianSim:   ... sim 1 of 20: MH iter 21 of 100,  200...
pluriGaussianSim:   ... sim 1 of 20: MH iter 22 of 100,  200...
pluriGaussianSim:   ... sim 1 of 20: MH iter 23 of 100,  200...
pluriGaussianSim:   ... sim 1 of 20: MH iter 24 of 100,  200...
pluriGaussianSim:   ... sim 1 of 20: MH iter 25 of 100,  200...
pluriGaussianSim:   ... sim 1 of 20: MH iter 26 of 100,  200...
pluriGaussianSim:   ... sim 1 of 20: MH iter 27 of 100,  200...
pluriGaussianSim:   ... sim 1 of 20: MH iter 28 of 100,  200...
pluriGaussianSim:   ... sim 1 of 20: MH iter 29 of 100,  200...
pluriGaussianSim:   ... sim 1 of 20: MH iter 30 of 100,  200...
pluriGaussianSim:   ... sim 1 of 20: MH iter 31 of 100,  200...
pluriGaussianSim:   ... sim 1 of 20: MH iter 32 of 100,  200...
pluriGaussianSim:   ... sim 1 of 20: MH iter 33 of 100,  200...
pluriGaussianSim:   ... sim 1 of 20: MH iter 34 of 100,  200...
pluriGaussianSim:   ... sim 1 of 20: MH iter 35 of 100,  200...
pluriGaussianSim:   ... sim 1 of 20: MH iter 36 of 100,  200...
pluriGaussianSim:   ... sim 1 of 20: MH iter 37 of 100,  200...
pluriGaussianSim:   ... sim 1 of 20: MH iter 38 of 100,  200...
pluriGaussianSim:   ... sim 1 of 20: MH iter 39 of 100,  200...
pluriGaussianSim:   ... sim 1 of 20: MH iter 40 of 100,  200...
pluriGaussianSim:   ... sim 1 of 20: MH iter 41 of 100,  200...
pluriGaussianSim:   ... sim 1 of 20: MH iter 42 of 100,  200...
pluriGaussianSim:   ... sim 1 of 20: MH iter 43 of 100,  200...
pluriGaussianSim:   ... sim 1 of 20: MH iter 44 of 100,  200...
pluriGaussianSim:   ... sim 1 of 20: MH iter 45 of 100,  200...
pluriGaussianSim:   ... sim 1 of 20: MH iter 46 of 100,  200...
pluriGaussianSim:   ... sim 1 of 20: MH iter 47 of 100,  200...
pluriGaussianSim:   ... sim 1 of 20: MH iter 48 of 100,  200...
pluriGaussianSim:   ... sim 1 of 20: MH iter 49 of 100,  200...
pluriGaussianSim:   ... sim 1 of 20: MH iter 50 of 100,  200...
pluriGaussianSim:   ... sim 1 of 20: MH iter 51 of 100,  200...
pluriGaussianSim:   ... sim 1 of 20: MH iter 52 of 100,  200...
pluriGaussianSim:   ... sim 1 of 20: MH iter 53 of 100,  200...
pluriGaussianSim:   ... sim 1 of 20: MH iter 54 of 100,  200...
pluriGaussianSim:   ... sim 1 of 20: MH iter 55 of 100,  200...
pluriGaussianSim:   ... sim 1 of 20: MH iter 56 of 100,  200...
pluriGaussianSim:   ... sim 1 of 20: MH iter 57 of 100,  200...
pluriGaussianSim:   ... sim 1 of 20: MH iter 58 of 100,  200...
pluriGaussianSim:   ... sim 1 of 20: MH iter 59 of 100,  200...
pluriGaussianSim:   ... sim 1 of 20: MH iter 60 of 100,  200...
pluriGaussianSim:   ... sim 1 of 20: MH iter 61 of 100,  200...
pluriGaussianSim:   ... sim 1 of 20: MH iter 62 of 100,  200...
pluriGaussianSim:   ... sim 1 of 20: MH iter 63 of 100,  200...
pluriGaussianSim:   ... sim 1 of 20: MH iter 64 of 100,  200...
pluriGaussianSim:   ... sim 1 of 20: MH iter 65 of 100,  200...
pluriGaussianSim:   ... sim 1 of 20: MH iter 66 of 100,  200...
pluriGaussianSim:   ... sim 1 of 20: MH iter 67 of 100,  200...
pluriGaussianSim:   ... sim 1 of 20: MH iter 68 of 100,  200...
pluriGaussianSim:   ... sim 1 of 20: MH iter 69 of 100,  200...
pluriGaussianSim:   ... sim 1 of 20: MH iter 70 of 100,  200...
pluriGaussianSim:   ... sim 1 of 20: MH iter 71 of 100,  200...
pluriGaussianSim:   ... sim 1 of 20: MH iter 72 of 100,  200...
pluriGaussianSim:   ... sim 1 of 20: MH iter 73 of 100,  200...
pluriGaussianSim:   ... sim 1 of 20: MH iter 74 of 100,  200...
pluriGaussianSim:   ... sim 1 of 20: MH iter 75 of 100,  200...
pluriGaussianSim:   ... sim 1 of 20: MH iter 76 of 100,  200...
pluriGaussianSim:   ... sim 1 of 20: MH iter 77 of 100,  200...
pluriGaussianSim:   ... sim 1 of 20: MH iter 78 of 100,  200...
pluriGaussianSim:   ... sim 1 of 20: MH iter 79 of 100,  200...
pluriGaussianSim:   ... sim 1 of 20: MH iter 80 of 100,  200...
pluriGaussianSim:   ... sim 1 of 20: MH iter 81 of 100,  200...
pluriGaussianSim:   ... sim 1 of 20: MH iter 82 of 100,  200...
pluriGaussianSim:   ... sim 1 of 20: MH iter 83 of 100,  200...
pluriGaussianSim:   ... sim 1 of 20: MH iter 84 of 100,  200...
pluriGaussianSim:   ... sim 1 of 20: MH iter 85 of 100,  200...
pluriGaussianSim:   ... sim 1 of 20: MH iter 86 of 100,  200...
pluriGaussianSim:   ... sim 1 of 20: MH iter 87 of 100,  200...
pluriGaussianSim:   ... sim 1 of 20: MH iter 88 of 100,  200...
pluriGaussianSim:   ... sim 1 of 20: MH iter 89 of 100,  200...
pluriGaussianSim:   ... sim 1 of 20: MH iter 90 of 100,  200...
pluriGaussianSim:   ... sim 1 of 20: MH iter 91 of 100,  200...
pluriGaussianSim:   ... sim 1 of 20: MH iter 92 of 100,  200...
pluriGaussianSim:   ... sim 1 of 20: MH iter 93 of 100,  200...
pluriGaussianSim:   ... sim 1 of 20: MH iter 94 of 100,  200...
pluriGaussianSim:   ... sim 1 of 20: MH iter 95 of 100,  200...
pluriGaussianSim:   ... sim 1 of 20: MH iter 96 of 100,  200...
pluriGaussianSim:   ... sim 1 of 20: MH iter 97 of 100,  200...
pluriGaussianSim:   ... sim 1 of 20: MH iter 98 of 100,  200...
pluriGaussianSim:   ... sim 1 of 20: MH iter 99 of 100,  200...
pluriGaussianSim:   ... sim 1 of 20: MH iter 100 of 100,  200...
pluriGaussianSim: simulation 2 of 20...
pluriGaussianSim:   ... sim 2 of 20: MH iter 1 of 100,  200...
pluriGaussianSim:   ... sim 2 of 20: MH iter 2 of 100,  200...
pluriGaussianSim:   ... sim 2 of 20: MH iter 3 of 100,  200...
pluriGaussianSim:   ... sim 2 of 20: MH iter 4 of 100,  200...
pluriGaussianSim:   ... sim 2 of 20: MH iter 5 of 100,  200...
pluriGaussianSim:   ... sim 2 of 20: MH iter 6 of 100,  200...
pluriGaussianSim:   ... sim 2 of 20: MH iter 7 of 100,  200...
pluriGaussianSim:   ... sim 2 of 20: MH iter 8 of 100,  200...
pluriGaussianSim:   ... sim 2 of 20: MH iter 9 of 100,  200...
pluriGaussianSim:   ... sim 2 of 20: MH iter 10 of 100,  200...
pluriGaussianSim:   ... sim 2 of 20: MH iter 11 of 100,  200...
pluriGaussianSim:   ... sim 2 of 20: MH iter 12 of 100,  200...
pluriGaussianSim:   ... sim 2 of 20: MH iter 13 of 100,  200...
pluriGaussianSim:   ... sim 2 of 20: MH iter 14 of 100,  200...
pluriGaussianSim:   ... sim 2 of 20: MH iter 15 of 100,  200...
pluriGaussianSim:   ... sim 2 of 20: MH iter 16 of 100,  200...
pluriGaussianSim:   ... sim 2 of 20: MH iter 17 of 100,  200...
pluriGaussianSim:   ... sim 2 of 20: MH iter 18 of 100,  200...
pluriGaussianSim:   ... sim 2 of 20: MH iter 19 of 100,  200...
pluriGaussianSim:   ... sim 2 of 20: MH iter 20 of 100,  200...
pluriGaussianSim:   ... sim 2 of 20: MH iter 21 of 100,  200...
pluriGaussianSim:   ... sim 2 of 20: MH iter 22 of 100,  200...
pluriGaussianSim:   ... sim 2 of 20: MH iter 23 of 100,  200...
pluriGaussianSim:   ... sim 2 of 20: MH iter 24 of 100,  200...
pluriGaussianSim:   ... sim 2 of 20: MH iter 25 of 100,  200...
pluriGaussianSim:   ... sim 2 of 20: MH iter 26 of 100,  200...
pluriGaussianSim:   ... sim 2 of 20: MH iter 27 of 100,  200...
pluriGaussianSim:   ... sim 2 of 20: MH iter 28 of 100,  200...
pluriGaussianSim:   ... sim 2 of 20: MH iter 29 of 100,  200...
pluriGaussianSim:   ... sim 2 of 20: MH iter 30 of 100,  200...
pluriGaussianSim:   ... sim 2 of 20: MH iter 31 of 100,  200...
pluriGaussianSim:   ... sim 2 of 20: MH iter 32 of 100,  200...
pluriGaussianSim:   ... sim 2 of 20: MH iter 33 of 100,  200...
pluriGaussianSim:   ... sim 2 of 20: MH iter 34 of 100,  200...
pluriGaussianSim:   ... sim 2 of 20: MH iter 35 of 100,  200...
pluriGaussianSim:   ... sim 2 of 20: MH iter 36 of 100,  200...
pluriGaussianSim:   ... sim 2 of 20: MH iter 37 of 100,  200...
pluriGaussianSim:   ... sim 2 of 20: MH iter 38 of 100,  200...
pluriGaussianSim:   ... sim 2 of 20: MH iter 39 of 100,  200...
pluriGaussianSim:   ... sim 2 of 20: MH iter 40 of 100,  200...
pluriGaussianSim:   ... sim 2 of 20: MH iter 41 of 100,  200...
pluriGaussianSim:   ... sim 2 of 20: MH iter 42 of 100,  200...
pluriGaussianSim:   ... sim 2 of 20: MH iter 43 of 100,  200...
pluriGaussianSim:   ... sim 2 of 20: MH iter 44 of 100,  200...
pluriGaussianSim:   ... sim 2 of 20: MH iter 45 of 100,  200...
pluriGaussianSim:   ... sim 2 of 20: MH iter 46 of 100,  200...
pluriGaussianSim:   ... sim 2 of 20: MH iter 47 of 100,  200...
pluriGaussianSim:   ... sim 2 of 20: MH iter 48 of 100,  200...
pluriGaussianSim:   ... sim 2 of 20: MH iter 49 of 100,  200...
pluriGaussianSim:   ... sim 2 of 20: MH iter 50 of 100,  200...
pluriGaussianSim:   ... sim 2 of 20: MH iter 51 of 100,  200...
pluriGaussianSim:   ... sim 2 of 20: MH iter 52 of 100,  200...
pluriGaussianSim:   ... sim 2 of 20: MH iter 53 of 100,  200...
pluriGaussianSim:   ... sim 2 of 20: MH iter 54 of 100,  200...
pluriGaussianSim:   ... sim 2 of 20: MH iter 55 of 100,  200...
pluriGaussianSim:   ... sim 2 of 20: MH iter 56 of 100,  200...
pluriGaussianSim:   ... sim 2 of 20: MH iter 57 of 100,  200...
pluriGaussianSim:   ... sim 2 of 20: MH iter 58 of 100,  200...
pluriGaussianSim:   ... sim 2 of 20: MH iter 59 of 100,  200...
pluriGaussianSim:   ... sim 2 of 20: MH iter 60 of 100,  200...
pluriGaussianSim:   ... sim 2 of 20: MH iter 61 of 100,  200...
pluriGaussianSim:   ... sim 2 of 20: MH iter 62 of 100,  200...
pluriGaussianSim:   ... sim 2 of 20: MH iter 63 of 100,  200...
pluriGaussianSim:   ... sim 2 of 20: MH iter 64 of 100,  200...
pluriGaussianSim:   ... sim 2 of 20: MH iter 65 of 100,  200...
pluriGaussianSim:   ... sim 2 of 20: MH iter 66 of 100,  200...
pluriGaussianSim:   ... sim 2 of 20: MH iter 67 of 100,  200...
pluriGaussianSim:   ... sim 2 of 20: MH iter 68 of 100,  200...
pluriGaussianSim:   ... sim 2 of 20: MH iter 69 of 100,  200...
pluriGaussianSim:   ... sim 2 of 20: MH iter 70 of 100,  200...
pluriGaussianSim:   ... sim 2 of 20: MH iter 71 of 100,  200...
pluriGaussianSim:   ... sim 2 of 20: MH iter 72 of 100,  200...
pluriGaussianSim:   ... sim 2 of 20: MH iter 73 of 100,  200...
pluriGaussianSim:   ... sim 2 of 20: MH iter 74 of 100,  200...
pluriGaussianSim:   ... sim 2 of 20: MH iter 75 of 100,  200...
pluriGaussianSim:   ... sim 2 of 20: MH iter 76 of 100,  200...
pluriGaussianSim:   ... sim 2 of 20: MH iter 77 of 100,  200...
pluriGaussianSim:   ... sim 2 of 20: MH iter 78 of 100,  200...
pluriGaussianSim:   ... sim 2 of 20: MH iter 79 of 100,  200...
pluriGaussianSim:   ... sim 2 of 20: MH iter 80 of 100,  200...
pluriGaussianSim:   ... sim 2 of 20: MH iter 81 of 100,  200...
pluriGaussianSim:   ... sim 2 of 20: MH iter 82 of 100,  200...
pluriGaussianSim:   ... sim 2 of 20: MH iter 83 of 100,  200...
pluriGaussianSim:   ... sim 2 of 20: MH iter 84 of 100,  200...
pluriGaussianSim:   ... sim 2 of 20: MH iter 85 of 100,  200...
pluriGaussianSim:   ... sim 2 of 20: MH iter 86 of 100,  200...
pluriGaussianSim:   ... sim 2 of 20: MH iter 87 of 100,  200...
pluriGaussianSim:   ... sim 2 of 20: MH iter 88 of 100,  200...
pluriGaussianSim:   ... sim 2 of 20: MH iter 89 of 100,  200...
pluriGaussianSim:   ... sim 2 of 20: MH iter 90 of 100,  200...
pluriGaussianSim:   ... sim 2 of 20: MH iter 91 of 100,  200...
pluriGaussianSim:   ... sim 2 of 20: MH iter 92 of 100,  200...
pluriGaussianSim:   ... sim 2 of 20: MH iter 93 of 100,  200...
pluriGaussianSim:   ... sim 2 of 20: MH iter 94 of 100,  200...
pluriGaussianSim:   ... sim 2 of 20: MH iter 95 of 100,  200...
pluriGaussianSim:   ... sim 2 of 20: MH iter 96 of 100,  200...
pluriGaussianSim:   ... sim 2 of 20: MH iter 97 of 100,  200...
pluriGaussianSim:   ... sim 2 of 20: MH iter 98 of 100,  200...
pluriGaussianSim:   ... sim 2 of 20: MH iter 99 of 100,  200...
pluriGaussianSim:   ... sim 2 of 20: MH iter 100 of 100,  200...
pluriGaussianSim: simulation 3 of 20...
pluriGaussianSim:   ... sim 3 of 20: MH iter 1 of 100,  200...
pluriGaussianSim:   ... sim 3 of 20: MH iter 2 of 100,  200...
pluriGaussianSim:   ... sim 3 of 20: MH iter 3 of 100,  200...
pluriGaussianSim:   ... sim 3 of 20: MH iter 4 of 100,  200...
pluriGaussianSim:   ... sim 3 of 20: MH iter 5 of 100,  200...
pluriGaussianSim:   ... sim 3 of 20: MH iter 6 of 100,  200...
pluriGaussianSim:   ... sim 3 of 20: MH iter 7 of 100,  200...
pluriGaussianSim:   ... sim 3 of 20: MH iter 8 of 100,  200...
pluriGaussianSim:   ... sim 3 of 20: MH iter 9 of 100,  200...
pluriGaussianSim:   ... sim 3 of 20: MH iter 10 of 100,  200...
pluriGaussianSim:   ... sim 3 of 20: MH iter 11 of 100,  200...
pluriGaussianSim:   ... sim 3 of 20: MH iter 12 of 100,  200...
pluriGaussianSim:   ... sim 3 of 20: MH iter 13 of 100,  200...
pluriGaussianSim:   ... sim 3 of 20: MH iter 14 of 100,  200...
pluriGaussianSim:   ... sim 3 of 20: MH iter 15 of 100,  200...
pluriGaussianSim:   ... sim 3 of 20: MH iter 16 of 100,  200...
pluriGaussianSim:   ... sim 3 of 20: MH iter 17 of 100,  200...
pluriGaussianSim:   ... sim 3 of 20: MH iter 18 of 100,  200...
pluriGaussianSim:   ... sim 3 of 20: MH iter 19 of 100,  200...
pluriGaussianSim:   ... sim 3 of 20: MH iter 20 of 100,  200...
pluriGaussianSim:   ... sim 3 of 20: MH iter 21 of 100,  200...
pluriGaussianSim:   ... sim 3 of 20: MH iter 22 of 100,  200...
pluriGaussianSim:   ... sim 3 of 20: MH iter 23 of 100,  200...
pluriGaussianSim:   ... sim 3 of 20: MH iter 24 of 100,  200...
pluriGaussianSim:   ... sim 3 of 20: MH iter 25 of 100,  200...
pluriGaussianSim:   ... sim 3 of 20: MH iter 26 of 100,  200...
pluriGaussianSim:   ... sim 3 of 20: MH iter 27 of 100,  200...
pluriGaussianSim:   ... sim 3 of 20: MH iter 28 of 100,  200...
pluriGaussianSim:   ... sim 3 of 20: MH iter 29 of 100,  200...
pluriGaussianSim:   ... sim 3 of 20: MH iter 30 of 100,  200...
pluriGaussianSim:   ... sim 3 of 20: MH iter 31 of 100,  200...
pluriGaussianSim:   ... sim 3 of 20: MH iter 32 of 100,  200...
pluriGaussianSim:   ... sim 3 of 20: MH iter 33 of 100,  200...
pluriGaussianSim:   ... sim 3 of 20: MH iter 34 of 100,  200...
pluriGaussianSim:   ... sim 3 of 20: MH iter 35 of 100,  200...
pluriGaussianSim:   ... sim 3 of 20: MH iter 36 of 100,  200...
pluriGaussianSim:   ... sim 3 of 20: MH iter 37 of 100,  200...
pluriGaussianSim:   ... sim 3 of 20: MH iter 38 of 100,  200...
pluriGaussianSim:   ... sim 3 of 20: MH iter 39 of 100,  200...
pluriGaussianSim:   ... sim 3 of 20: MH iter 40 of 100,  200...
pluriGaussianSim:   ... sim 3 of 20: MH iter 41 of 100,  200...
pluriGaussianSim:   ... sim 3 of 20: MH iter 42 of 100,  200...
pluriGaussianSim:   ... sim 3 of 20: MH iter 43 of 100,  200...
pluriGaussianSim:   ... sim 3 of 20: MH iter 44 of 100,  200...
pluriGaussianSim:   ... sim 3 of 20: MH iter 45 of 100,  200...
pluriGaussianSim:   ... sim 3 of 20: MH iter 46 of 100,  200...
pluriGaussianSim:   ... sim 3 of 20: MH iter 47 of 100,  200...
pluriGaussianSim:   ... sim 3 of 20: MH iter 48 of 100,  200...
pluriGaussianSim:   ... sim 3 of 20: MH iter 49 of 100,  200...
pluriGaussianSim:   ... sim 3 of 20: MH iter 50 of 100,  200...
pluriGaussianSim:   ... sim 3 of 20: MH iter 51 of 100,  200...
pluriGaussianSim:   ... sim 3 of 20: MH iter 52 of 100,  200...
pluriGaussianSim:   ... sim 3 of 20: MH iter 53 of 100,  200...
pluriGaussianSim:   ... sim 3 of 20: MH iter 54 of 100,  200...
pluriGaussianSim:   ... sim 3 of 20: MH iter 55 of 100,  200...
pluriGaussianSim:   ... sim 3 of 20: MH iter 56 of 100,  200...
pluriGaussianSim:   ... sim 3 of 20: MH iter 57 of 100,  200...
pluriGaussianSim:   ... sim 3 of 20: MH iter 58 of 100,  200...
pluriGaussianSim:   ... sim 3 of 20: MH iter 59 of 100,  200...
pluriGaussianSim:   ... sim 3 of 20: MH iter 60 of 100,  200...
pluriGaussianSim:   ... sim 3 of 20: MH iter 61 of 100,  200...
pluriGaussianSim:   ... sim 3 of 20: MH iter 62 of 100,  200...
pluriGaussianSim:   ... sim 3 of 20: MH iter 63 of 100,  200...
pluriGaussianSim:   ... sim 3 of 20: MH iter 64 of 100,  200...
pluriGaussianSim:   ... sim 3 of 20: MH iter 65 of 100,  200...
pluriGaussianSim:   ... sim 3 of 20: MH iter 66 of 100,  200...
pluriGaussianSim:   ... sim 3 of 20: MH iter 67 of 100,  200...
pluriGaussianSim:   ... sim 3 of 20: MH iter 68 of 100,  200...
pluriGaussianSim:   ... sim 3 of 20: MH iter 69 of 100,  200...
pluriGaussianSim:   ... sim 3 of 20: MH iter 70 of 100,  200...
pluriGaussianSim:   ... sim 3 of 20: MH iter 71 of 100,  200...
pluriGaussianSim:   ... sim 3 of 20: MH iter 72 of 100,  200...
pluriGaussianSim:   ... sim 3 of 20: MH iter 73 of 100,  200...
pluriGaussianSim:   ... sim 3 of 20: MH iter 74 of 100,  200...
pluriGaussianSim:   ... sim 3 of 20: MH iter 75 of 100,  200...
pluriGaussianSim:   ... sim 3 of 20: MH iter 76 of 100,  200...
pluriGaussianSim:   ... sim 3 of 20: MH iter 77 of 100,  200...
pluriGaussianSim:   ... sim 3 of 20: MH iter 78 of 100,  200...
pluriGaussianSim:   ... sim 3 of 20: MH iter 79 of 100,  200...
pluriGaussianSim:   ... sim 3 of 20: MH iter 80 of 100,  200...
pluriGaussianSim:   ... sim 3 of 20: MH iter 81 of 100,  200...
pluriGaussianSim:   ... sim 3 of 20: MH iter 82 of 100,  200...
pluriGaussianSim:   ... sim 3 of 20: MH iter 83 of 100,  200...
pluriGaussianSim:   ... sim 3 of 20: MH iter 84 of 100,  200...
pluriGaussianSim:   ... sim 3 of 20: MH iter 85 of 100,  200...
pluriGaussianSim:   ... sim 3 of 20: MH iter 86 of 100,  200...
pluriGaussianSim:   ... sim 3 of 20: MH iter 87 of 100,  200...
pluriGaussianSim:   ... sim 3 of 20: MH iter 88 of 100,  200...
pluriGaussianSim:   ... sim 3 of 20: MH iter 89 of 100,  200...
pluriGaussianSim:   ... sim 3 of 20: MH iter 90 of 100,  200...
pluriGaussianSim:   ... sim 3 of 20: MH iter 91 of 100,  200...
pluriGaussianSim:   ... sim 3 of 20: MH iter 92 of 100,  200...
pluriGaussianSim:   ... sim 3 of 20: MH iter 93 of 100,  200...
pluriGaussianSim:   ... sim 3 of 20: MH iter 94 of 100,  200...
pluriGaussianSim:   ... sim 3 of 20: MH iter 95 of 100,  200...
pluriGaussianSim:   ... sim 3 of 20: MH iter 96 of 100,  200...
pluriGaussianSim:   ... sim 3 of 20: MH iter 97 of 100,  200...
pluriGaussianSim:   ... sim 3 of 20: MH iter 98 of 100,  200...
pluriGaussianSim:   ... sim 3 of 20: MH iter 99 of 100,  200...
pluriGaussianSim:   ... sim 3 of 20: MH iter 100 of 100,  200...
pluriGaussianSim: simulation 4 of 20...
pluriGaussianSim:   ... sim 4 of 20: MH iter 1 of 100,  200...
pluriGaussianSim:   ... sim 4 of 20: MH iter 2 of 100,  200...
pluriGaussianSim:   ... sim 4 of 20: MH iter 3 of 100,  200...
pluriGaussianSim:   ... sim 4 of 20: MH iter 4 of 100,  200...
pluriGaussianSim:   ... sim 4 of 20: MH iter 5 of 100,  200...
pluriGaussianSim:   ... sim 4 of 20: MH iter 6 of 100,  200...
pluriGaussianSim:   ... sim 4 of 20: MH iter 7 of 100,  200...
pluriGaussianSim:   ... sim 4 of 20: MH iter 8 of 100,  200...
pluriGaussianSim:   ... sim 4 of 20: MH iter 9 of 100,  200...
pluriGaussianSim:   ... sim 4 of 20: MH iter 10 of 100,  200...
pluriGaussianSim:   ... sim 4 of 20: MH iter 11 of 100,  200...
pluriGaussianSim:   ... sim 4 of 20: MH iter 12 of 100,  200...
pluriGaussianSim:   ... sim 4 of 20: MH iter 13 of 100,  200...
pluriGaussianSim:   ... sim 4 of 20: MH iter 14 of 100,  200...
pluriGaussianSim:   ... sim 4 of 20: MH iter 15 of 100,  200...
pluriGaussianSim:   ... sim 4 of 20: MH iter 16 of 100,  200...
pluriGaussianSim:   ... sim 4 of 20: MH iter 17 of 100,  200...
pluriGaussianSim:   ... sim 4 of 20: MH iter 18 of 100,  200...
pluriGaussianSim:   ... sim 4 of 20: MH iter 19 of 100,  200...
pluriGaussianSim:   ... sim 4 of 20: MH iter 20 of 100,  200...
pluriGaussianSim:   ... sim 4 of 20: MH iter 21 of 100,  200...
pluriGaussianSim:   ... sim 4 of 20: MH iter 22 of 100,  200...
pluriGaussianSim:   ... sim 4 of 20: MH iter 23 of 100,  200...
pluriGaussianSim:   ... sim 4 of 20: MH iter 24 of 100,  200...
pluriGaussianSim:   ... sim 4 of 20: MH iter 25 of 100,  200...
pluriGaussianSim:   ... sim 4 of 20: MH iter 26 of 100,  200...
pluriGaussianSim:   ... sim 4 of 20: MH iter 27 of 100,  200...
pluriGaussianSim:   ... sim 4 of 20: MH iter 28 of 100,  200...
pluriGaussianSim:   ... sim 4 of 20: MH iter 29 of 100,  200...
pluriGaussianSim:   ... sim 4 of 20: MH iter 30 of 100,  200...
pluriGaussianSim:   ... sim 4 of 20: MH iter 31 of 100,  200...
pluriGaussianSim:   ... sim 4 of 20: MH iter 32 of 100,  200...
pluriGaussianSim:   ... sim 4 of 20: MH iter 33 of 100,  200...
pluriGaussianSim:   ... sim 4 of 20: MH iter 34 of 100,  200...
pluriGaussianSim:   ... sim 4 of 20: MH iter 35 of 100,  200...
pluriGaussianSim:   ... sim 4 of 20: MH iter 36 of 100,  200...
pluriGaussianSim:   ... sim 4 of 20: MH iter 37 of 100,  200...
pluriGaussianSim:   ... sim 4 of 20: MH iter 38 of 100,  200...
pluriGaussianSim:   ... sim 4 of 20: MH iter 39 of 100,  200...
pluriGaussianSim:   ... sim 4 of 20: MH iter 40 of 100,  200...
pluriGaussianSim:   ... sim 4 of 20: MH iter 41 of 100,  200...
pluriGaussianSim:   ... sim 4 of 20: MH iter 42 of 100,  200...
pluriGaussianSim:   ... sim 4 of 20: MH iter 43 of 100,  200...
pluriGaussianSim:   ... sim 4 of 20: MH iter 44 of 100,  200...
pluriGaussianSim:   ... sim 4 of 20: MH iter 45 of 100,  200...
pluriGaussianSim:   ... sim 4 of 20: MH iter 46 of 100,  200...
pluriGaussianSim:   ... sim 4 of 20: MH iter 47 of 100,  200...
pluriGaussianSim:   ... sim 4 of 20: MH iter 48 of 100,  200...
pluriGaussianSim:   ... sim 4 of 20: MH iter 49 of 100,  200...
pluriGaussianSim:   ... sim 4 of 20: MH iter 50 of 100,  200...
pluriGaussianSim:   ... sim 4 of 20: MH iter 51 of 100,  200...
pluriGaussianSim:   ... sim 4 of 20: MH iter 52 of 100,  200...
pluriGaussianSim:   ... sim 4 of 20: MH iter 53 of 100,  200...
pluriGaussianSim:   ... sim 4 of 20: MH iter 54 of 100,  200...
pluriGaussianSim:   ... sim 4 of 20: MH iter 55 of 100,  200...
pluriGaussianSim:   ... sim 4 of 20: MH iter 56 of 100,  200...
pluriGaussianSim:   ... sim 4 of 20: MH iter 57 of 100,  200...
pluriGaussianSim:   ... sim 4 of 20: MH iter 58 of 100,  200...
pluriGaussianSim:   ... sim 4 of 20: MH iter 59 of 100,  200...
pluriGaussianSim:   ... sim 4 of 20: MH iter 60 of 100,  200...
pluriGaussianSim:   ... sim 4 of 20: MH iter 61 of 100,  200...
pluriGaussianSim:   ... sim 4 of 20: MH iter 62 of 100,  200...
pluriGaussianSim:   ... sim 4 of 20: MH iter 63 of 100,  200...
pluriGaussianSim:   ... sim 4 of 20: MH iter 64 of 100,  200...
pluriGaussianSim:   ... sim 4 of 20: MH iter 65 of 100,  200...
pluriGaussianSim:   ... sim 4 of 20: MH iter 66 of 100,  200...
pluriGaussianSim:   ... sim 4 of 20: MH iter 67 of 100,  200...
pluriGaussianSim:   ... sim 4 of 20: MH iter 68 of 100,  200...
pluriGaussianSim:   ... sim 4 of 20: MH iter 69 of 100,  200...
pluriGaussianSim:   ... sim 4 of 20: MH iter 70 of 100,  200...
pluriGaussianSim:   ... sim 4 of 20: MH iter 71 of 100,  200...
pluriGaussianSim:   ... sim 4 of 20: MH iter 72 of 100,  200...
pluriGaussianSim:   ... sim 4 of 20: MH iter 73 of 100,  200...
pluriGaussianSim:   ... sim 4 of 20: MH iter 74 of 100,  200...
pluriGaussianSim:   ... sim 4 of 20: MH iter 75 of 100,  200...
pluriGaussianSim:   ... sim 4 of 20: MH iter 76 of 100,  200...
pluriGaussianSim:   ... sim 4 of 20: MH iter 77 of 100,  200...
pluriGaussianSim:   ... sim 4 of 20: MH iter 78 of 100,  200...
pluriGaussianSim:   ... sim 4 of 20: MH iter 79 of 100,  200...
pluriGaussianSim:   ... sim 4 of 20: MH iter 80 of 100,  200...
pluriGaussianSim:   ... sim 4 of 20: MH iter 81 of 100,  200...
pluriGaussianSim:   ... sim 4 of 20: MH iter 82 of 100,  200...
pluriGaussianSim:   ... sim 4 of 20: MH iter 83 of 100,  200...
pluriGaussianSim:   ... sim 4 of 20: MH iter 84 of 100,  200...
pluriGaussianSim:   ... sim 4 of 20: MH iter 85 of 100,  200...
pluriGaussianSim:   ... sim 4 of 20: MH iter 86 of 100,  200...
pluriGaussianSim:   ... sim 4 of 20: MH iter 87 of 100,  200...
pluriGaussianSim:   ... sim 4 of 20: MH iter 88 of 100,  200...
pluriGaussianSim:   ... sim 4 of 20: MH iter 89 of 100,  200...
pluriGaussianSim:   ... sim 4 of 20: MH iter 90 of 100,  200...
pluriGaussianSim:   ... sim 4 of 20: MH iter 91 of 100,  200...
pluriGaussianSim:   ... sim 4 of 20: MH iter 92 of 100,  200...
pluriGaussianSim:   ... sim 4 of 20: MH iter 93 of 100,  200...
pluriGaussianSim:   ... sim 4 of 20: MH iter 94 of 100,  200...
pluriGaussianSim:   ... sim 4 of 20: MH iter 95 of 100,  200...
pluriGaussianSim:   ... sim 4 of 20: MH iter 96 of 100,  200...
pluriGaussianSim:   ... sim 4 of 20: MH iter 97 of 100,  200...
pluriGaussianSim:   ... sim 4 of 20: MH iter 98 of 100,  200...
pluriGaussianSim:   ... sim 4 of 20: MH iter 99 of 100,  200...
pluriGaussianSim:   ... sim 4 of 20: MH iter 100 of 100,  200...
pluriGaussianSim: simulation 5 of 20...
pluriGaussianSim:   ... sim 5 of 20: MH iter 1 of 100,  200...
pluriGaussianSim:   ... sim 5 of 20: MH iter 2 of 100,  200...
pluriGaussianSim:   ... sim 5 of 20: MH iter 3 of 100,  200...
pluriGaussianSim:   ... sim 5 of 20: MH iter 4 of 100,  200...
pluriGaussianSim:   ... sim 5 of 20: MH iter 5 of 100,  200...
pluriGaussianSim:   ... sim 5 of 20: MH iter 6 of 100,  200...
pluriGaussianSim:   ... sim 5 of 20: MH iter 7 of 100,  200...
pluriGaussianSim:   ... sim 5 of 20: MH iter 8 of 100,  200...
pluriGaussianSim:   ... sim 5 of 20: MH iter 9 of 100,  200...
pluriGaussianSim:   ... sim 5 of 20: MH iter 10 of 100,  200...
pluriGaussianSim:   ... sim 5 of 20: MH iter 11 of 100,  200...
pluriGaussianSim:   ... sim 5 of 20: MH iter 12 of 100,  200...
pluriGaussianSim:   ... sim 5 of 20: MH iter 13 of 100,  200...
pluriGaussianSim:   ... sim 5 of 20: MH iter 14 of 100,  200...
pluriGaussianSim:   ... sim 5 of 20: MH iter 15 of 100,  200...
pluriGaussianSim:   ... sim 5 of 20: MH iter 16 of 100,  200...
pluriGaussianSim:   ... sim 5 of 20: MH iter 17 of 100,  200...
pluriGaussianSim:   ... sim 5 of 20: MH iter 18 of 100,  200...
pluriGaussianSim:   ... sim 5 of 20: MH iter 19 of 100,  200...
pluriGaussianSim:   ... sim 5 of 20: MH iter 20 of 100,  200...
pluriGaussianSim:   ... sim 5 of 20: MH iter 21 of 100,  200...
pluriGaussianSim:   ... sim 5 of 20: MH iter 22 of 100,  200...
pluriGaussianSim:   ... sim 5 of 20: MH iter 23 of 100,  200...
pluriGaussianSim:   ... sim 5 of 20: MH iter 24 of 100,  200...
pluriGaussianSim:   ... sim 5 of 20: MH iter 25 of 100,  200...
pluriGaussianSim:   ... sim 5 of 20: MH iter 26 of 100,  200...
pluriGaussianSim:   ... sim 5 of 20: MH iter 27 of 100,  200...
pluriGaussianSim:   ... sim 5 of 20: MH iter 28 of 100,  200...
pluriGaussianSim:   ... sim 5 of 20: MH iter 29 of 100,  200...
pluriGaussianSim:   ... sim 5 of 20: MH iter 30 of 100,  200...
pluriGaussianSim:   ... sim 5 of 20: MH iter 31 of 100,  200...
pluriGaussianSim:   ... sim 5 of 20: MH iter 32 of 100,  200...
pluriGaussianSim:   ... sim 5 of 20: MH iter 33 of 100,  200...
pluriGaussianSim:   ... sim 5 of 20: MH iter 34 of 100,  200...
pluriGaussianSim:   ... sim 5 of 20: MH iter 35 of 100,  200...
pluriGaussianSim:   ... sim 5 of 20: MH iter 36 of 100,  200...
pluriGaussianSim:   ... sim 5 of 20: MH iter 37 of 100,  200...
pluriGaussianSim:   ... sim 5 of 20: MH iter 38 of 100,  200...
pluriGaussianSim:   ... sim 5 of 20: MH iter 39 of 100,  200...
pluriGaussianSim:   ... sim 5 of 20: MH iter 40 of 100,  200...
pluriGaussianSim:   ... sim 5 of 20: MH iter 41 of 100,  200...
pluriGaussianSim:   ... sim 5 of 20: MH iter 42 of 100,  200...
pluriGaussianSim:   ... sim 5 of 20: MH iter 43 of 100,  200...
pluriGaussianSim:   ... sim 5 of 20: MH iter 44 of 100,  200...
pluriGaussianSim:   ... sim 5 of 20: MH iter 45 of 100,  200...
pluriGaussianSim:   ... sim 5 of 20: MH iter 46 of 100,  200...
pluriGaussianSim:   ... sim 5 of 20: MH iter 47 of 100,  200...
pluriGaussianSim:   ... sim 5 of 20: MH iter 48 of 100,  200...
pluriGaussianSim:   ... sim 5 of 20: MH iter 49 of 100,  200...
pluriGaussianSim:   ... sim 5 of 20: MH iter 50 of 100,  200...
pluriGaussianSim:   ... sim 5 of 20: MH iter 51 of 100,  200...
pluriGaussianSim:   ... sim 5 of 20: MH iter 52 of 100,  200...
pluriGaussianSim:   ... sim 5 of 20: MH iter 53 of 100,  200...
pluriGaussianSim:   ... sim 5 of 20: MH iter 54 of 100,  200...
pluriGaussianSim:   ... sim 5 of 20: MH iter 55 of 100,  200...
pluriGaussianSim:   ... sim 5 of 20: MH iter 56 of 100,  200...
pluriGaussianSim:   ... sim 5 of 20: MH iter 57 of 100,  200...
pluriGaussianSim:   ... sim 5 of 20: MH iter 58 of 100,  200...
pluriGaussianSim:   ... sim 5 of 20: MH iter 59 of 100,  200...
pluriGaussianSim:   ... sim 5 of 20: MH iter 60 of 100,  200...
pluriGaussianSim:   ... sim 5 of 20: MH iter 61 of 100,  200...
pluriGaussianSim:   ... sim 5 of 20: MH iter 62 of 100,  200...
pluriGaussianSim:   ... sim 5 of 20: MH iter 63 of 100,  200...
pluriGaussianSim:   ... sim 5 of 20: MH iter 64 of 100,  200...
pluriGaussianSim:   ... sim 5 of 20: MH iter 65 of 100,  200...
pluriGaussianSim:   ... sim 5 of 20: MH iter 66 of 100,  200...
pluriGaussianSim:   ... sim 5 of 20: MH iter 67 of 100,  200...
pluriGaussianSim:   ... sim 5 of 20: MH iter 68 of 100,  200...
pluriGaussianSim:   ... sim 5 of 20: MH iter 69 of 100,  200...
pluriGaussianSim:   ... sim 5 of 20: MH iter 70 of 100,  200...
pluriGaussianSim:   ... sim 5 of 20: MH iter 71 of 100,  200...
pluriGaussianSim:   ... sim 5 of 20: MH iter 72 of 100,  200...
pluriGaussianSim:   ... sim 5 of 20: MH iter 73 of 100,  200...
pluriGaussianSim:   ... sim 5 of 20: MH iter 74 of 100,  200...
pluriGaussianSim:   ... sim 5 of 20: MH iter 75 of 100,  200...
pluriGaussianSim:   ... sim 5 of 20: MH iter 76 of 100,  200...
pluriGaussianSim:   ... sim 5 of 20: MH iter 77 of 100,  200...
pluriGaussianSim:   ... sim 5 of 20: MH iter 78 of 100,  200...
pluriGaussianSim:   ... sim 5 of 20: MH iter 79 of 100,  200...
pluriGaussianSim:   ... sim 5 of 20: MH iter 80 of 100,  200...
pluriGaussianSim:   ... sim 5 of 20: MH iter 81 of 100,  200...
pluriGaussianSim:   ... sim 5 of 20: MH iter 82 of 100,  200...
pluriGaussianSim:   ... sim 5 of 20: MH iter 83 of 100,  200...
pluriGaussianSim:   ... sim 5 of 20: MH iter 84 of 100,  200...
pluriGaussianSim:   ... sim 5 of 20: MH iter 85 of 100,  200...
pluriGaussianSim:   ... sim 5 of 20: MH iter 86 of 100,  200...
pluriGaussianSim:   ... sim 5 of 20: MH iter 87 of 100,  200...
pluriGaussianSim:   ... sim 5 of 20: MH iter 88 of 100,  200...
pluriGaussianSim:   ... sim 5 of 20: MH iter 89 of 100,  200...
pluriGaussianSim:   ... sim 5 of 20: MH iter 90 of 100,  200...
pluriGaussianSim:   ... sim 5 of 20: MH iter 91 of 100,  200...
pluriGaussianSim:   ... sim 5 of 20: MH iter 92 of 100,  200...
pluriGaussianSim:   ... sim 5 of 20: MH iter 93 of 100,  200...
pluriGaussianSim:   ... sim 5 of 20: MH iter 94 of 100,  200...
pluriGaussianSim:   ... sim 5 of 20: MH iter 95 of 100,  200...
pluriGaussianSim:   ... sim 5 of 20: MH iter 96 of 100,  200...
pluriGaussianSim:   ... sim 5 of 20: MH iter 97 of 100,  200...
pluriGaussianSim:   ... sim 5 of 20: MH iter 98 of 100,  200...
pluriGaussianSim:   ... sim 5 of 20: MH iter 99 of 100,  200...
pluriGaussianSim:   ... sim 5 of 20: MH iter 100 of 100,  200...
pluriGaussianSim: simulation 6 of 20...
pluriGaussianSim:   ... sim 6 of 20: MH iter 1 of 100,  200...
pluriGaussianSim:   ... sim 6 of 20: MH iter 2 of 100,  200...
pluriGaussianSim:   ... sim 6 of 20: MH iter 3 of 100,  200...
pluriGaussianSim:   ... sim 6 of 20: MH iter 4 of 100,  200...
pluriGaussianSim:   ... sim 6 of 20: MH iter 5 of 100,  200...
pluriGaussianSim:   ... sim 6 of 20: MH iter 6 of 100,  200...
pluriGaussianSim:   ... sim 6 of 20: MH iter 7 of 100,  200...
pluriGaussianSim:   ... sim 6 of 20: MH iter 8 of 100,  200...
pluriGaussianSim:   ... sim 6 of 20: MH iter 9 of 100,  200...
pluriGaussianSim:   ... sim 6 of 20: MH iter 10 of 100,  200...
pluriGaussianSim:   ... sim 6 of 20: MH iter 11 of 100,  200...
pluriGaussianSim:   ... sim 6 of 20: MH iter 12 of 100,  200...
pluriGaussianSim:   ... sim 6 of 20: MH iter 13 of 100,  200...
pluriGaussianSim:   ... sim 6 of 20: MH iter 14 of 100,  200...
pluriGaussianSim:   ... sim 6 of 20: MH iter 15 of 100,  200...
pluriGaussianSim:   ... sim 6 of 20: MH iter 16 of 100,  200...
pluriGaussianSim:   ... sim 6 of 20: MH iter 17 of 100,  200...
pluriGaussianSim:   ... sim 6 of 20: MH iter 18 of 100,  200...
pluriGaussianSim:   ... sim 6 of 20: MH iter 19 of 100,  200...
pluriGaussianSim:   ... sim 6 of 20: MH iter 20 of 100,  200...
pluriGaussianSim:   ... sim 6 of 20: MH iter 21 of 100,  200...
pluriGaussianSim:   ... sim 6 of 20: MH iter 22 of 100,  200...
pluriGaussianSim:   ... sim 6 of 20: MH iter 23 of 100,  200...
pluriGaussianSim:   ... sim 6 of 20: MH iter 24 of 100,  200...
pluriGaussianSim:   ... sim 6 of 20: MH iter 25 of 100,  200...
pluriGaussianSim:   ... sim 6 of 20: MH iter 26 of 100,  200...
pluriGaussianSim:   ... sim 6 of 20: MH iter 27 of 100,  200...
pluriGaussianSim:   ... sim 6 of 20: MH iter 28 of 100,  200...
pluriGaussianSim:   ... sim 6 of 20: MH iter 29 of 100,  200...
pluriGaussianSim:   ... sim 6 of 20: MH iter 30 of 100,  200...
pluriGaussianSim:   ... sim 6 of 20: MH iter 31 of 100,  200...
pluriGaussianSim:   ... sim 6 of 20: MH iter 32 of 100,  200...
pluriGaussianSim:   ... sim 6 of 20: MH iter 33 of 100,  200...
pluriGaussianSim:   ... sim 6 of 20: MH iter 34 of 100,  200...
pluriGaussianSim:   ... sim 6 of 20: MH iter 35 of 100,  200...
pluriGaussianSim:   ... sim 6 of 20: MH iter 36 of 100,  200...
pluriGaussianSim:   ... sim 6 of 20: MH iter 37 of 100,  200...
pluriGaussianSim:   ... sim 6 of 20: MH iter 38 of 100,  200...
pluriGaussianSim:   ... sim 6 of 20: MH iter 39 of 100,  200...
pluriGaussianSim:   ... sim 6 of 20: MH iter 40 of 100,  200...
pluriGaussianSim:   ... sim 6 of 20: MH iter 41 of 100,  200...
pluriGaussianSim:   ... sim 6 of 20: MH iter 42 of 100,  200...
pluriGaussianSim:   ... sim 6 of 20: MH iter 43 of 100,  200...
pluriGaussianSim:   ... sim 6 of 20: MH iter 44 of 100,  200...
pluriGaussianSim:   ... sim 6 of 20: MH iter 45 of 100,  200...
pluriGaussianSim:   ... sim 6 of 20: MH iter 46 of 100,  200...
pluriGaussianSim:   ... sim 6 of 20: MH iter 47 of 100,  200...
pluriGaussianSim:   ... sim 6 of 20: MH iter 48 of 100,  200...
pluriGaussianSim:   ... sim 6 of 20: MH iter 49 of 100,  200...
pluriGaussianSim:   ... sim 6 of 20: MH iter 50 of 100,  200...
pluriGaussianSim:   ... sim 6 of 20: MH iter 51 of 100,  200...
pluriGaussianSim:   ... sim 6 of 20: MH iter 52 of 100,  200...
pluriGaussianSim:   ... sim 6 of 20: MH iter 53 of 100,  200...
pluriGaussianSim:   ... sim 6 of 20: MH iter 54 of 100,  200...
pluriGaussianSim:   ... sim 6 of 20: MH iter 55 of 100,  200...
pluriGaussianSim:   ... sim 6 of 20: MH iter 56 of 100,  200...
pluriGaussianSim:   ... sim 6 of 20: MH iter 57 of 100,  200...
pluriGaussianSim:   ... sim 6 of 20: MH iter 58 of 100,  200...
pluriGaussianSim:   ... sim 6 of 20: MH iter 59 of 100,  200...
pluriGaussianSim:   ... sim 6 of 20: MH iter 60 of 100,  200...
pluriGaussianSim:   ... sim 6 of 20: MH iter 61 of 100,  200...
pluriGaussianSim:   ... sim 6 of 20: MH iter 62 of 100,  200...
pluriGaussianSim:   ... sim 6 of 20: MH iter 63 of 100,  200...
pluriGaussianSim:   ... sim 6 of 20: MH iter 64 of 100,  200...
pluriGaussianSim:   ... sim 6 of 20: MH iter 65 of 100,  200...
pluriGaussianSim:   ... sim 6 of 20: MH iter 66 of 100,  200...
pluriGaussianSim:   ... sim 6 of 20: MH iter 67 of 100,  200...
pluriGaussianSim:   ... sim 6 of 20: MH iter 68 of 100,  200...
pluriGaussianSim:   ... sim 6 of 20: MH iter 69 of 100,  200...
pluriGaussianSim:   ... sim 6 of 20: MH iter 70 of 100,  200...
pluriGaussianSim:   ... sim 6 of 20: MH iter 71 of 100,  200...
pluriGaussianSim:   ... sim 6 of 20: MH iter 72 of 100,  200...
pluriGaussianSim:   ... sim 6 of 20: MH iter 73 of 100,  200...
pluriGaussianSim:   ... sim 6 of 20: MH iter 74 of 100,  200...
pluriGaussianSim:   ... sim 6 of 20: MH iter 75 of 100,  200...
pluriGaussianSim:   ... sim 6 of 20: MH iter 76 of 100,  200...
pluriGaussianSim:   ... sim 6 of 20: MH iter 77 of 100,  200...
pluriGaussianSim:   ... sim 6 of 20: MH iter 78 of 100,  200...
pluriGaussianSim:   ... sim 6 of 20: MH iter 79 of 100,  200...
pluriGaussianSim:   ... sim 6 of 20: MH iter 80 of 100,  200...
pluriGaussianSim:   ... sim 6 of 20: MH iter 81 of 100,  200...
pluriGaussianSim:   ... sim 6 of 20: MH iter 82 of 100,  200...
pluriGaussianSim:   ... sim 6 of 20: MH iter 83 of 100,  200...
pluriGaussianSim:   ... sim 6 of 20: MH iter 84 of 100,  200...
pluriGaussianSim:   ... sim 6 of 20: MH iter 85 of 100,  200...
pluriGaussianSim:   ... sim 6 of 20: MH iter 86 of 100,  200...
pluriGaussianSim:   ... sim 6 of 20: MH iter 87 of 100,  200...
pluriGaussianSim:   ... sim 6 of 20: MH iter 88 of 100,  200...
pluriGaussianSim:   ... sim 6 of 20: MH iter 89 of 100,  200...
pluriGaussianSim:   ... sim 6 of 20: MH iter 90 of 100,  200...
pluriGaussianSim:   ... sim 6 of 20: MH iter 91 of 100,  200...
pluriGaussianSim:   ... sim 6 of 20: MH iter 92 of 100,  200...
pluriGaussianSim:   ... sim 6 of 20: MH iter 93 of 100,  200...
pluriGaussianSim:   ... sim 6 of 20: MH iter 94 of 100,  200...
pluriGaussianSim:   ... sim 6 of 20: MH iter 95 of 100,  200...
pluriGaussianSim:   ... sim 6 of 20: MH iter 96 of 100,  200...
pluriGaussianSim:   ... sim 6 of 20: MH iter 97 of 100,  200...
pluriGaussianSim:   ... sim 6 of 20: MH iter 98 of 100,  200...
pluriGaussianSim:   ... sim 6 of 20: MH iter 99 of 100,  200...
pluriGaussianSim:   ... sim 6 of 20: MH iter 100 of 100,  200...
pluriGaussianSim: simulation 7 of 20...
pluriGaussianSim:   ... sim 7 of 20: MH iter 1 of 100,  200...
pluriGaussianSim:   ... sim 7 of 20: MH iter 2 of 100,  200...
pluriGaussianSim:   ... sim 7 of 20: MH iter 3 of 100,  200...
pluriGaussianSim:   ... sim 7 of 20: MH iter 4 of 100,  200...
pluriGaussianSim:   ... sim 7 of 20: MH iter 5 of 100,  200...
pluriGaussianSim:   ... sim 7 of 20: MH iter 6 of 100,  200...
pluriGaussianSim:   ... sim 7 of 20: MH iter 7 of 100,  200...
pluriGaussianSim:   ... sim 7 of 20: MH iter 8 of 100,  200...
pluriGaussianSim:   ... sim 7 of 20: MH iter 9 of 100,  200...
pluriGaussianSim:   ... sim 7 of 20: MH iter 10 of 100,  200...
pluriGaussianSim:   ... sim 7 of 20: MH iter 11 of 100,  200...
pluriGaussianSim:   ... sim 7 of 20: MH iter 12 of 100,  200...
pluriGaussianSim:   ... sim 7 of 20: MH iter 13 of 100,  200...
pluriGaussianSim:   ... sim 7 of 20: MH iter 14 of 100,  200...
pluriGaussianSim:   ... sim 7 of 20: MH iter 15 of 100,  200...
pluriGaussianSim:   ... sim 7 of 20: MH iter 16 of 100,  200...
pluriGaussianSim:   ... sim 7 of 20: MH iter 17 of 100,  200...
pluriGaussianSim:   ... sim 7 of 20: MH iter 18 of 100,  200...
pluriGaussianSim:   ... sim 7 of 20: MH iter 19 of 100,  200...
pluriGaussianSim:   ... sim 7 of 20: MH iter 20 of 100,  200...
pluriGaussianSim:   ... sim 7 of 20: MH iter 21 of 100,  200...
pluriGaussianSim:   ... sim 7 of 20: MH iter 22 of 100,  200...
pluriGaussianSim:   ... sim 7 of 20: MH iter 23 of 100,  200...
pluriGaussianSim:   ... sim 7 of 20: MH iter 24 of 100,  200...
pluriGaussianSim:   ... sim 7 of 20: MH iter 25 of 100,  200...
pluriGaussianSim:   ... sim 7 of 20: MH iter 26 of 100,  200...
pluriGaussianSim:   ... sim 7 of 20: MH iter 27 of 100,  200...
pluriGaussianSim:   ... sim 7 of 20: MH iter 28 of 100,  200...
pluriGaussianSim:   ... sim 7 of 20: MH iter 29 of 100,  200...
pluriGaussianSim:   ... sim 7 of 20: MH iter 30 of 100,  200...
pluriGaussianSim:   ... sim 7 of 20: MH iter 31 of 100,  200...
pluriGaussianSim:   ... sim 7 of 20: MH iter 32 of 100,  200...
pluriGaussianSim:   ... sim 7 of 20: MH iter 33 of 100,  200...
pluriGaussianSim:   ... sim 7 of 20: MH iter 34 of 100,  200...
pluriGaussianSim:   ... sim 7 of 20: MH iter 35 of 100,  200...
pluriGaussianSim:   ... sim 7 of 20: MH iter 36 of 100,  200...
pluriGaussianSim:   ... sim 7 of 20: MH iter 37 of 100,  200...
pluriGaussianSim:   ... sim 7 of 20: MH iter 38 of 100,  200...
pluriGaussianSim:   ... sim 7 of 20: MH iter 39 of 100,  200...
pluriGaussianSim:   ... sim 7 of 20: MH iter 40 of 100,  200...
pluriGaussianSim:   ... sim 7 of 20: MH iter 41 of 100,  200...
pluriGaussianSim:   ... sim 7 of 20: MH iter 42 of 100,  200...
pluriGaussianSim:   ... sim 7 of 20: MH iter 43 of 100,  200...
pluriGaussianSim:   ... sim 7 of 20: MH iter 44 of 100,  200...
pluriGaussianSim:   ... sim 7 of 20: MH iter 45 of 100,  200...
pluriGaussianSim:   ... sim 7 of 20: MH iter 46 of 100,  200...
pluriGaussianSim:   ... sim 7 of 20: MH iter 47 of 100,  200...
pluriGaussianSim:   ... sim 7 of 20: MH iter 48 of 100,  200...
pluriGaussianSim:   ... sim 7 of 20: MH iter 49 of 100,  200...
pluriGaussianSim:   ... sim 7 of 20: MH iter 50 of 100,  200...
pluriGaussianSim:   ... sim 7 of 20: MH iter 51 of 100,  200...
pluriGaussianSim:   ... sim 7 of 20: MH iter 52 of 100,  200...
pluriGaussianSim:   ... sim 7 of 20: MH iter 53 of 100,  200...
pluriGaussianSim:   ... sim 7 of 20: MH iter 54 of 100,  200...
pluriGaussianSim:   ... sim 7 of 20: MH iter 55 of 100,  200...
pluriGaussianSim:   ... sim 7 of 20: MH iter 56 of 100,  200...
pluriGaussianSim:   ... sim 7 of 20: MH iter 57 of 100,  200...
pluriGaussianSim:   ... sim 7 of 20: MH iter 58 of 100,  200...
pluriGaussianSim:   ... sim 7 of 20: MH iter 59 of 100,  200...
pluriGaussianSim:   ... sim 7 of 20: MH iter 60 of 100,  200...
pluriGaussianSim:   ... sim 7 of 20: MH iter 61 of 100,  200...
pluriGaussianSim:   ... sim 7 of 20: MH iter 62 of 100,  200...
pluriGaussianSim:   ... sim 7 of 20: MH iter 63 of 100,  200...
pluriGaussianSim:   ... sim 7 of 20: MH iter 64 of 100,  200...
pluriGaussianSim:   ... sim 7 of 20: MH iter 65 of 100,  200...
pluriGaussianSim:   ... sim 7 of 20: MH iter 66 of 100,  200...
pluriGaussianSim:   ... sim 7 of 20: MH iter 67 of 100,  200...
pluriGaussianSim:   ... sim 7 of 20: MH iter 68 of 100,  200...
pluriGaussianSim:   ... sim 7 of 20: MH iter 69 of 100,  200...
pluriGaussianSim:   ... sim 7 of 20: MH iter 70 of 100,  200...
pluriGaussianSim:   ... sim 7 of 20: MH iter 71 of 100,  200...
pluriGaussianSim:   ... sim 7 of 20: MH iter 72 of 100,  200...
pluriGaussianSim:   ... sim 7 of 20: MH iter 73 of 100,  200...
pluriGaussianSim:   ... sim 7 of 20: MH iter 74 of 100,  200...
pluriGaussianSim:   ... sim 7 of 20: MH iter 75 of 100,  200...
pluriGaussianSim:   ... sim 7 of 20: MH iter 76 of 100,  200...
pluriGaussianSim:   ... sim 7 of 20: MH iter 77 of 100,  200...
pluriGaussianSim:   ... sim 7 of 20: MH iter 78 of 100,  200...
pluriGaussianSim:   ... sim 7 of 20: MH iter 79 of 100,  200...
pluriGaussianSim:   ... sim 7 of 20: MH iter 80 of 100,  200...
pluriGaussianSim:   ... sim 7 of 20: MH iter 81 of 100,  200...
pluriGaussianSim:   ... sim 7 of 20: MH iter 82 of 100,  200...
pluriGaussianSim:   ... sim 7 of 20: MH iter 83 of 100,  200...
pluriGaussianSim:   ... sim 7 of 20: MH iter 84 of 100,  200...
pluriGaussianSim:   ... sim 7 of 20: MH iter 85 of 100,  200...
pluriGaussianSim:   ... sim 7 of 20: MH iter 86 of 100,  200...
pluriGaussianSim:   ... sim 7 of 20: MH iter 87 of 100,  200...
pluriGaussianSim:   ... sim 7 of 20: MH iter 88 of 100,  200...
pluriGaussianSim:   ... sim 7 of 20: MH iter 89 of 100,  200...
pluriGaussianSim:   ... sim 7 of 20: MH iter 90 of 100,  200...
pluriGaussianSim:   ... sim 7 of 20: MH iter 91 of 100,  200...
pluriGaussianSim:   ... sim 7 of 20: MH iter 92 of 100,  200...
pluriGaussianSim:   ... sim 7 of 20: MH iter 93 of 100,  200...
pluriGaussianSim:   ... sim 7 of 20: MH iter 94 of 100,  200...
pluriGaussianSim:   ... sim 7 of 20: MH iter 95 of 100,  200...
pluriGaussianSim:   ... sim 7 of 20: MH iter 96 of 100,  200...
pluriGaussianSim:   ... sim 7 of 20: MH iter 97 of 100,  200...
pluriGaussianSim:   ... sim 7 of 20: MH iter 98 of 100,  200...
pluriGaussianSim:   ... sim 7 of 20: MH iter 99 of 100,  200...
pluriGaussianSim:   ... sim 7 of 20: MH iter 100 of 100,  200...
pluriGaussianSim:   ... sim 7 of 20: MH iter 101 of 100,  200...
pluriGaussianSim:   ... sim 7 of 20: MH iter 102 of 100,  200...
pluriGaussianSim:   ... sim 7 of 20: MH iter 103 of 100,  200...
pluriGaussianSim:   ... sim 7 of 20: MH iter 104 of 100,  200...
pluriGaussianSim: simulation 8 of 20...
pluriGaussianSim:   ... sim 8 of 20: MH iter 1 of 100,  200...
pluriGaussianSim:   ... sim 8 of 20: MH iter 2 of 100,  200...
pluriGaussianSim:   ... sim 8 of 20: MH iter 3 of 100,  200...
pluriGaussianSim:   ... sim 8 of 20: MH iter 4 of 100,  200...
pluriGaussianSim:   ... sim 8 of 20: MH iter 5 of 100,  200...
pluriGaussianSim:   ... sim 8 of 20: MH iter 6 of 100,  200...
pluriGaussianSim:   ... sim 8 of 20: MH iter 7 of 100,  200...
pluriGaussianSim:   ... sim 8 of 20: MH iter 8 of 100,  200...
pluriGaussianSim:   ... sim 8 of 20: MH iter 9 of 100,  200...
pluriGaussianSim:   ... sim 8 of 20: MH iter 10 of 100,  200...
pluriGaussianSim:   ... sim 8 of 20: MH iter 11 of 100,  200...
pluriGaussianSim:   ... sim 8 of 20: MH iter 12 of 100,  200...
pluriGaussianSim:   ... sim 8 of 20: MH iter 13 of 100,  200...
pluriGaussianSim:   ... sim 8 of 20: MH iter 14 of 100,  200...
pluriGaussianSim:   ... sim 8 of 20: MH iter 15 of 100,  200...
pluriGaussianSim:   ... sim 8 of 20: MH iter 16 of 100,  200...
pluriGaussianSim:   ... sim 8 of 20: MH iter 17 of 100,  200...
pluriGaussianSim:   ... sim 8 of 20: MH iter 18 of 100,  200...
pluriGaussianSim:   ... sim 8 of 20: MH iter 19 of 100,  200...
pluriGaussianSim:   ... sim 8 of 20: MH iter 20 of 100,  200...
pluriGaussianSim:   ... sim 8 of 20: MH iter 21 of 100,  200...
pluriGaussianSim:   ... sim 8 of 20: MH iter 22 of 100,  200...
pluriGaussianSim:   ... sim 8 of 20: MH iter 23 of 100,  200...
pluriGaussianSim:   ... sim 8 of 20: MH iter 24 of 100,  200...
pluriGaussianSim:   ... sim 8 of 20: MH iter 25 of 100,  200...
pluriGaussianSim:   ... sim 8 of 20: MH iter 26 of 100,  200...
pluriGaussianSim:   ... sim 8 of 20: MH iter 27 of 100,  200...
pluriGaussianSim:   ... sim 8 of 20: MH iter 28 of 100,  200...
pluriGaussianSim:   ... sim 8 of 20: MH iter 29 of 100,  200...
pluriGaussianSim:   ... sim 8 of 20: MH iter 30 of 100,  200...
pluriGaussianSim:   ... sim 8 of 20: MH iter 31 of 100,  200...
pluriGaussianSim:   ... sim 8 of 20: MH iter 32 of 100,  200...
pluriGaussianSim:   ... sim 8 of 20: MH iter 33 of 100,  200...
pluriGaussianSim:   ... sim 8 of 20: MH iter 34 of 100,  200...
pluriGaussianSim:   ... sim 8 of 20: MH iter 35 of 100,  200...
pluriGaussianSim:   ... sim 8 of 20: MH iter 36 of 100,  200...
pluriGaussianSim:   ... sim 8 of 20: MH iter 37 of 100,  200...
pluriGaussianSim:   ... sim 8 of 20: MH iter 38 of 100,  200...
pluriGaussianSim:   ... sim 8 of 20: MH iter 39 of 100,  200...
pluriGaussianSim:   ... sim 8 of 20: MH iter 40 of 100,  200...
pluriGaussianSim:   ... sim 8 of 20: MH iter 41 of 100,  200...
pluriGaussianSim:   ... sim 8 of 20: MH iter 42 of 100,  200...
pluriGaussianSim:   ... sim 8 of 20: MH iter 43 of 100,  200...
pluriGaussianSim:   ... sim 8 of 20: MH iter 44 of 100,  200...
pluriGaussianSim:   ... sim 8 of 20: MH iter 45 of 100,  200...
pluriGaussianSim:   ... sim 8 of 20: MH iter 46 of 100,  200...
pluriGaussianSim:   ... sim 8 of 20: MH iter 47 of 100,  200...
pluriGaussianSim:   ... sim 8 of 20: MH iter 48 of 100,  200...
pluriGaussianSim:   ... sim 8 of 20: MH iter 49 of 100,  200...
pluriGaussianSim:   ... sim 8 of 20: MH iter 50 of 100,  200...
pluriGaussianSim:   ... sim 8 of 20: MH iter 51 of 100,  200...
pluriGaussianSim:   ... sim 8 of 20: MH iter 52 of 100,  200...
pluriGaussianSim:   ... sim 8 of 20: MH iter 53 of 100,  200...
pluriGaussianSim:   ... sim 8 of 20: MH iter 54 of 100,  200...
pluriGaussianSim:   ... sim 8 of 20: MH iter 55 of 100,  200...
pluriGaussianSim:   ... sim 8 of 20: MH iter 56 of 100,  200...
pluriGaussianSim:   ... sim 8 of 20: MH iter 57 of 100,  200...
pluriGaussianSim:   ... sim 8 of 20: MH iter 58 of 100,  200...
pluriGaussianSim:   ... sim 8 of 20: MH iter 59 of 100,  200...
pluriGaussianSim:   ... sim 8 of 20: MH iter 60 of 100,  200...
pluriGaussianSim:   ... sim 8 of 20: MH iter 61 of 100,  200...
pluriGaussianSim:   ... sim 8 of 20: MH iter 62 of 100,  200...
pluriGaussianSim:   ... sim 8 of 20: MH iter 63 of 100,  200...
pluriGaussianSim:   ... sim 8 of 20: MH iter 64 of 100,  200...
pluriGaussianSim:   ... sim 8 of 20: MH iter 65 of 100,  200...
pluriGaussianSim:   ... sim 8 of 20: MH iter 66 of 100,  200...
pluriGaussianSim:   ... sim 8 of 20: MH iter 67 of 100,  200...
pluriGaussianSim:   ... sim 8 of 20: MH iter 68 of 100,  200...
pluriGaussianSim:   ... sim 8 of 20: MH iter 69 of 100,  200...
pluriGaussianSim:   ... sim 8 of 20: MH iter 70 of 100,  200...
pluriGaussianSim:   ... sim 8 of 20: MH iter 71 of 100,  200...
pluriGaussianSim:   ... sim 8 of 20: MH iter 72 of 100,  200...
pluriGaussianSim:   ... sim 8 of 20: MH iter 73 of 100,  200...
pluriGaussianSim:   ... sim 8 of 20: MH iter 74 of 100,  200...
pluriGaussianSim:   ... sim 8 of 20: MH iter 75 of 100,  200...
pluriGaussianSim:   ... sim 8 of 20: MH iter 76 of 100,  200...
pluriGaussianSim:   ... sim 8 of 20: MH iter 77 of 100,  200...
pluriGaussianSim:   ... sim 8 of 20: MH iter 78 of 100,  200...
pluriGaussianSim:   ... sim 8 of 20: MH iter 79 of 100,  200...
pluriGaussianSim:   ... sim 8 of 20: MH iter 80 of 100,  200...
pluriGaussianSim:   ... sim 8 of 20: MH iter 81 of 100,  200...
pluriGaussianSim:   ... sim 8 of 20: MH iter 82 of 100,  200...
pluriGaussianSim:   ... sim 8 of 20: MH iter 83 of 100,  200...
pluriGaussianSim:   ... sim 8 of 20: MH iter 84 of 100,  200...
pluriGaussianSim:   ... sim 8 of 20: MH iter 85 of 100,  200...
pluriGaussianSim:   ... sim 8 of 20: MH iter 86 of 100,  200...
pluriGaussianSim:   ... sim 8 of 20: MH iter 87 of 100,  200...
pluriGaussianSim:   ... sim 8 of 20: MH iter 88 of 100,  200...
pluriGaussianSim:   ... sim 8 of 20: MH iter 89 of 100,  200...
pluriGaussianSim:   ... sim 8 of 20: MH iter 90 of 100,  200...
pluriGaussianSim:   ... sim 8 of 20: MH iter 91 of 100,  200...
pluriGaussianSim:   ... sim 8 of 20: MH iter 92 of 100,  200...
pluriGaussianSim:   ... sim 8 of 20: MH iter 93 of 100,  200...
pluriGaussianSim:   ... sim 8 of 20: MH iter 94 of 100,  200...
pluriGaussianSim:   ... sim 8 of 20: MH iter 95 of 100,  200...
pluriGaussianSim:   ... sim 8 of 20: MH iter 96 of 100,  200...
pluriGaussianSim:   ... sim 8 of 20: MH iter 97 of 100,  200...
pluriGaussianSim:   ... sim 8 of 20: MH iter 98 of 100,  200...
pluriGaussianSim:   ... sim 8 of 20: MH iter 99 of 100,  200...
pluriGaussianSim:   ... sim 8 of 20: MH iter 100 of 100,  200...
pluriGaussianSim: simulation 9 of 20...
pluriGaussianSim:   ... sim 9 of 20: MH iter 1 of 100,  200...
pluriGaussianSim:   ... sim 9 of 20: MH iter 2 of 100,  200...
pluriGaussianSim:   ... sim 9 of 20: MH iter 3 of 100,  200...
pluriGaussianSim:   ... sim 9 of 20: MH iter 4 of 100,  200...
pluriGaussianSim:   ... sim 9 of 20: MH iter 5 of 100,  200...
pluriGaussianSim:   ... sim 9 of 20: MH iter 6 of 100,  200...
pluriGaussianSim:   ... sim 9 of 20: MH iter 7 of 100,  200...
pluriGaussianSim:   ... sim 9 of 20: MH iter 8 of 100,  200...
pluriGaussianSim:   ... sim 9 of 20: MH iter 9 of 100,  200...
pluriGaussianSim:   ... sim 9 of 20: MH iter 10 of 100,  200...
pluriGaussianSim:   ... sim 9 of 20: MH iter 11 of 100,  200...
pluriGaussianSim:   ... sim 9 of 20: MH iter 12 of 100,  200...
pluriGaussianSim:   ... sim 9 of 20: MH iter 13 of 100,  200...
pluriGaussianSim:   ... sim 9 of 20: MH iter 14 of 100,  200...
pluriGaussianSim:   ... sim 9 of 20: MH iter 15 of 100,  200...
pluriGaussianSim:   ... sim 9 of 20: MH iter 16 of 100,  200...
pluriGaussianSim:   ... sim 9 of 20: MH iter 17 of 100,  200...
pluriGaussianSim:   ... sim 9 of 20: MH iter 18 of 100,  200...
pluriGaussianSim:   ... sim 9 of 20: MH iter 19 of 100,  200...
pluriGaussianSim:   ... sim 9 of 20: MH iter 20 of 100,  200...
pluriGaussianSim:   ... sim 9 of 20: MH iter 21 of 100,  200...
pluriGaussianSim:   ... sim 9 of 20: MH iter 22 of 100,  200...
pluriGaussianSim:   ... sim 9 of 20: MH iter 23 of 100,  200...
pluriGaussianSim:   ... sim 9 of 20: MH iter 24 of 100,  200...
pluriGaussianSim:   ... sim 9 of 20: MH iter 25 of 100,  200...
pluriGaussianSim:   ... sim 9 of 20: MH iter 26 of 100,  200...
pluriGaussianSim:   ... sim 9 of 20: MH iter 27 of 100,  200...
pluriGaussianSim:   ... sim 9 of 20: MH iter 28 of 100,  200...
pluriGaussianSim:   ... sim 9 of 20: MH iter 29 of 100,  200...
pluriGaussianSim:   ... sim 9 of 20: MH iter 30 of 100,  200...
pluriGaussianSim:   ... sim 9 of 20: MH iter 31 of 100,  200...
pluriGaussianSim:   ... sim 9 of 20: MH iter 32 of 100,  200...
pluriGaussianSim:   ... sim 9 of 20: MH iter 33 of 100,  200...
pluriGaussianSim:   ... sim 9 of 20: MH iter 34 of 100,  200...
pluriGaussianSim:   ... sim 9 of 20: MH iter 35 of 100,  200...
pluriGaussianSim:   ... sim 9 of 20: MH iter 36 of 100,  200...
pluriGaussianSim:   ... sim 9 of 20: MH iter 37 of 100,  200...
pluriGaussianSim:   ... sim 9 of 20: MH iter 38 of 100,  200...
pluriGaussianSim:   ... sim 9 of 20: MH iter 39 of 100,  200...
pluriGaussianSim:   ... sim 9 of 20: MH iter 40 of 100,  200...
pluriGaussianSim:   ... sim 9 of 20: MH iter 41 of 100,  200...
pluriGaussianSim:   ... sim 9 of 20: MH iter 42 of 100,  200...
pluriGaussianSim:   ... sim 9 of 20: MH iter 43 of 100,  200...
pluriGaussianSim:   ... sim 9 of 20: MH iter 44 of 100,  200...
pluriGaussianSim:   ... sim 9 of 20: MH iter 45 of 100,  200...
pluriGaussianSim:   ... sim 9 of 20: MH iter 46 of 100,  200...
pluriGaussianSim:   ... sim 9 of 20: MH iter 47 of 100,  200...
pluriGaussianSim:   ... sim 9 of 20: MH iter 48 of 100,  200...
pluriGaussianSim:   ... sim 9 of 20: MH iter 49 of 100,  200...
pluriGaussianSim:   ... sim 9 of 20: MH iter 50 of 100,  200...
pluriGaussianSim:   ... sim 9 of 20: MH iter 51 of 100,  200...
pluriGaussianSim:   ... sim 9 of 20: MH iter 52 of 100,  200...
pluriGaussianSim:   ... sim 9 of 20: MH iter 53 of 100,  200...
pluriGaussianSim:   ... sim 9 of 20: MH iter 54 of 100,  200...
pluriGaussianSim:   ... sim 9 of 20: MH iter 55 of 100,  200...
pluriGaussianSim:   ... sim 9 of 20: MH iter 56 of 100,  200...
pluriGaussianSim:   ... sim 9 of 20: MH iter 57 of 100,  200...
pluriGaussianSim:   ... sim 9 of 20: MH iter 58 of 100,  200...
pluriGaussianSim:   ... sim 9 of 20: MH iter 59 of 100,  200...
pluriGaussianSim:   ... sim 9 of 20: MH iter 60 of 100,  200...
pluriGaussianSim:   ... sim 9 of 20: MH iter 61 of 100,  200...
pluriGaussianSim:   ... sim 9 of 20: MH iter 62 of 100,  200...
pluriGaussianSim:   ... sim 9 of 20: MH iter 63 of 100,  200...
pluriGaussianSim:   ... sim 9 of 20: MH iter 64 of 100,  200...
pluriGaussianSim:   ... sim 9 of 20: MH iter 65 of 100,  200...
pluriGaussianSim:   ... sim 9 of 20: MH iter 66 of 100,  200...
pluriGaussianSim:   ... sim 9 of 20: MH iter 67 of 100,  200...
pluriGaussianSim:   ... sim 9 of 20: MH iter 68 of 100,  200...
pluriGaussianSim:   ... sim 9 of 20: MH iter 69 of 100,  200...
pluriGaussianSim:   ... sim 9 of 20: MH iter 70 of 100,  200...
pluriGaussianSim:   ... sim 9 of 20: MH iter 71 of 100,  200...
pluriGaussianSim:   ... sim 9 of 20: MH iter 72 of 100,  200...
pluriGaussianSim:   ... sim 9 of 20: MH iter 73 of 100,  200...
pluriGaussianSim:   ... sim 9 of 20: MH iter 74 of 100,  200...
pluriGaussianSim:   ... sim 9 of 20: MH iter 75 of 100,  200...
pluriGaussianSim:   ... sim 9 of 20: MH iter 76 of 100,  200...
pluriGaussianSim:   ... sim 9 of 20: MH iter 77 of 100,  200...
pluriGaussianSim:   ... sim 9 of 20: MH iter 78 of 100,  200...
pluriGaussianSim:   ... sim 9 of 20: MH iter 79 of 100,  200...
pluriGaussianSim:   ... sim 9 of 20: MH iter 80 of 100,  200...
pluriGaussianSim:   ... sim 9 of 20: MH iter 81 of 100,  200...
pluriGaussianSim:   ... sim 9 of 20: MH iter 82 of 100,  200...
pluriGaussianSim:   ... sim 9 of 20: MH iter 83 of 100,  200...
pluriGaussianSim:   ... sim 9 of 20: MH iter 84 of 100,  200...
pluriGaussianSim:   ... sim 9 of 20: MH iter 85 of 100,  200...
pluriGaussianSim:   ... sim 9 of 20: MH iter 86 of 100,  200...
pluriGaussianSim:   ... sim 9 of 20: MH iter 87 of 100,  200...
pluriGaussianSim:   ... sim 9 of 20: MH iter 88 of 100,  200...
pluriGaussianSim:   ... sim 9 of 20: MH iter 89 of 100,  200...
pluriGaussianSim:   ... sim 9 of 20: MH iter 90 of 100,  200...
pluriGaussianSim:   ... sim 9 of 20: MH iter 91 of 100,  200...
pluriGaussianSim:   ... sim 9 of 20: MH iter 92 of 100,  200...
pluriGaussianSim:   ... sim 9 of 20: MH iter 93 of 100,  200...
pluriGaussianSim:   ... sim 9 of 20: MH iter 94 of 100,  200...
pluriGaussianSim:   ... sim 9 of 20: MH iter 95 of 100,  200...
pluriGaussianSim:   ... sim 9 of 20: MH iter 96 of 100,  200...
pluriGaussianSim:   ... sim 9 of 20: MH iter 97 of 100,  200...
pluriGaussianSim:   ... sim 9 of 20: MH iter 98 of 100,  200...
pluriGaussianSim:   ... sim 9 of 20: MH iter 99 of 100,  200...
pluriGaussianSim:   ... sim 9 of 20: MH iter 100 of 100,  200...
pluriGaussianSim:   ... sim 9 of 20: MH iter 101 of 100,  200...
pluriGaussianSim:   ... sim 9 of 20: MH iter 102 of 100,  200...
pluriGaussianSim: simulation 10 of 20...
pluriGaussianSim:   ... sim 10 of 20: MH iter 1 of 100,  200...
pluriGaussianSim:   ... sim 10 of 20: MH iter 2 of 100,  200...
pluriGaussianSim:   ... sim 10 of 20: MH iter 3 of 100,  200...
pluriGaussianSim:   ... sim 10 of 20: MH iter 4 of 100,  200...
pluriGaussianSim:   ... sim 10 of 20: MH iter 5 of 100,  200...
pluriGaussianSim:   ... sim 10 of 20: MH iter 6 of 100,  200...
pluriGaussianSim:   ... sim 10 of 20: MH iter 7 of 100,  200...
pluriGaussianSim:   ... sim 10 of 20: MH iter 8 of 100,  200...
pluriGaussianSim:   ... sim 10 of 20: MH iter 9 of 100,  200...
pluriGaussianSim:   ... sim 10 of 20: MH iter 10 of 100,  200...
pluriGaussianSim:   ... sim 10 of 20: MH iter 11 of 100,  200...
pluriGaussianSim:   ... sim 10 of 20: MH iter 12 of 100,  200...
pluriGaussianSim:   ... sim 10 of 20: MH iter 13 of 100,  200...
pluriGaussianSim:   ... sim 10 of 20: MH iter 14 of 100,  200...
pluriGaussianSim:   ... sim 10 of 20: MH iter 15 of 100,  200...
pluriGaussianSim:   ... sim 10 of 20: MH iter 16 of 100,  200...
pluriGaussianSim:   ... sim 10 of 20: MH iter 17 of 100,  200...
pluriGaussianSim:   ... sim 10 of 20: MH iter 18 of 100,  200...
pluriGaussianSim:   ... sim 10 of 20: MH iter 19 of 100,  200...
pluriGaussianSim:   ... sim 10 of 20: MH iter 20 of 100,  200...
pluriGaussianSim:   ... sim 10 of 20: MH iter 21 of 100,  200...
pluriGaussianSim:   ... sim 10 of 20: MH iter 22 of 100,  200...
pluriGaussianSim:   ... sim 10 of 20: MH iter 23 of 100,  200...
pluriGaussianSim:   ... sim 10 of 20: MH iter 24 of 100,  200...
pluriGaussianSim:   ... sim 10 of 20: MH iter 25 of 100,  200...
pluriGaussianSim:   ... sim 10 of 20: MH iter 26 of 100,  200...
pluriGaussianSim:   ... sim 10 of 20: MH iter 27 of 100,  200...
pluriGaussianSim:   ... sim 10 of 20: MH iter 28 of 100,  200...
pluriGaussianSim:   ... sim 10 of 20: MH iter 29 of 100,  200...
pluriGaussianSim:   ... sim 10 of 20: MH iter 30 of 100,  200...
pluriGaussianSim:   ... sim 10 of 20: MH iter 31 of 100,  200...
pluriGaussianSim:   ... sim 10 of 20: MH iter 32 of 100,  200...
pluriGaussianSim:   ... sim 10 of 20: MH iter 33 of 100,  200...
pluriGaussianSim:   ... sim 10 of 20: MH iter 34 of 100,  200...
pluriGaussianSim:   ... sim 10 of 20: MH iter 35 of 100,  200...
pluriGaussianSim:   ... sim 10 of 20: MH iter 36 of 100,  200...
pluriGaussianSim:   ... sim 10 of 20: MH iter 37 of 100,  200...
pluriGaussianSim:   ... sim 10 of 20: MH iter 38 of 100,  200...
pluriGaussianSim:   ... sim 10 of 20: MH iter 39 of 100,  200...
pluriGaussianSim:   ... sim 10 of 20: MH iter 40 of 100,  200...
pluriGaussianSim:   ... sim 10 of 20: MH iter 41 of 100,  200...
pluriGaussianSim:   ... sim 10 of 20: MH iter 42 of 100,  200...
pluriGaussianSim:   ... sim 10 of 20: MH iter 43 of 100,  200...
pluriGaussianSim:   ... sim 10 of 20: MH iter 44 of 100,  200...
pluriGaussianSim:   ... sim 10 of 20: MH iter 45 of 100,  200...
pluriGaussianSim:   ... sim 10 of 20: MH iter 46 of 100,  200...
pluriGaussianSim:   ... sim 10 of 20: MH iter 47 of 100,  200...
pluriGaussianSim:   ... sim 10 of 20: MH iter 48 of 100,  200...
pluriGaussianSim:   ... sim 10 of 20: MH iter 49 of 100,  200...
pluriGaussianSim:   ... sim 10 of 20: MH iter 50 of 100,  200...
pluriGaussianSim:   ... sim 10 of 20: MH iter 51 of 100,  200...
pluriGaussianSim:   ... sim 10 of 20: MH iter 52 of 100,  200...
pluriGaussianSim:   ... sim 10 of 20: MH iter 53 of 100,  200...
pluriGaussianSim:   ... sim 10 of 20: MH iter 54 of 100,  200...
pluriGaussianSim:   ... sim 10 of 20: MH iter 55 of 100,  200...
pluriGaussianSim:   ... sim 10 of 20: MH iter 56 of 100,  200...
pluriGaussianSim:   ... sim 10 of 20: MH iter 57 of 100,  200...
pluriGaussianSim:   ... sim 10 of 20: MH iter 58 of 100,  200...
pluriGaussianSim:   ... sim 10 of 20: MH iter 59 of 100,  200...
pluriGaussianSim:   ... sim 10 of 20: MH iter 60 of 100,  200...
pluriGaussianSim:   ... sim 10 of 20: MH iter 61 of 100,  200...
pluriGaussianSim:   ... sim 10 of 20: MH iter 62 of 100,  200...
pluriGaussianSim:   ... sim 10 of 20: MH iter 63 of 100,  200...
pluriGaussianSim:   ... sim 10 of 20: MH iter 64 of 100,  200...
pluriGaussianSim:   ... sim 10 of 20: MH iter 65 of 100,  200...
pluriGaussianSim:   ... sim 10 of 20: MH iter 66 of 100,  200...
pluriGaussianSim:   ... sim 10 of 20: MH iter 67 of 100,  200...
pluriGaussianSim:   ... sim 10 of 20: MH iter 68 of 100,  200...
pluriGaussianSim:   ... sim 10 of 20: MH iter 69 of 100,  200...
pluriGaussianSim:   ... sim 10 of 20: MH iter 70 of 100,  200...
pluriGaussianSim:   ... sim 10 of 20: MH iter 71 of 100,  200...
pluriGaussianSim:   ... sim 10 of 20: MH iter 72 of 100,  200...
pluriGaussianSim:   ... sim 10 of 20: MH iter 73 of 100,  200...
pluriGaussianSim:   ... sim 10 of 20: MH iter 74 of 100,  200...
pluriGaussianSim:   ... sim 10 of 20: MH iter 75 of 100,  200...
pluriGaussianSim:   ... sim 10 of 20: MH iter 76 of 100,  200...
pluriGaussianSim:   ... sim 10 of 20: MH iter 77 of 100,  200...
pluriGaussianSim:   ... sim 10 of 20: MH iter 78 of 100,  200...
pluriGaussianSim:   ... sim 10 of 20: MH iter 79 of 100,  200...
pluriGaussianSim:   ... sim 10 of 20: MH iter 80 of 100,  200...
pluriGaussianSim:   ... sim 10 of 20: MH iter 81 of 100,  200...
pluriGaussianSim:   ... sim 10 of 20: MH iter 82 of 100,  200...
pluriGaussianSim:   ... sim 10 of 20: MH iter 83 of 100,  200...
pluriGaussianSim:   ... sim 10 of 20: MH iter 84 of 100,  200...
pluriGaussianSim:   ... sim 10 of 20: MH iter 85 of 100,  200...
pluriGaussianSim:   ... sim 10 of 20: MH iter 86 of 100,  200...
pluriGaussianSim:   ... sim 10 of 20: MH iter 87 of 100,  200...
pluriGaussianSim:   ... sim 10 of 20: MH iter 88 of 100,  200...
pluriGaussianSim:   ... sim 10 of 20: MH iter 89 of 100,  200...
pluriGaussianSim:   ... sim 10 of 20: MH iter 90 of 100,  200...
pluriGaussianSim:   ... sim 10 of 20: MH iter 91 of 100,  200...
pluriGaussianSim:   ... sim 10 of 20: MH iter 92 of 100,  200...
pluriGaussianSim:   ... sim 10 of 20: MH iter 93 of 100,  200...
pluriGaussianSim:   ... sim 10 of 20: MH iter 94 of 100,  200...
pluriGaussianSim:   ... sim 10 of 20: MH iter 95 of 100,  200...
pluriGaussianSim:   ... sim 10 of 20: MH iter 96 of 100,  200...
pluriGaussianSim:   ... sim 10 of 20: MH iter 97 of 100,  200...
pluriGaussianSim:   ... sim 10 of 20: MH iter 98 of 100,  200...
pluriGaussianSim:   ... sim 10 of 20: MH iter 99 of 100,  200...
pluriGaussianSim:   ... sim 10 of 20: MH iter 100 of 100,  200...
pluriGaussianSim: simulation 11 of 20...
pluriGaussianSim:   ... sim 11 of 20: MH iter 1 of 100,  200...
pluriGaussianSim:   ... sim 11 of 20: MH iter 2 of 100,  200...
pluriGaussianSim:   ... sim 11 of 20: MH iter 3 of 100,  200...
pluriGaussianSim:   ... sim 11 of 20: MH iter 4 of 100,  200...
pluriGaussianSim:   ... sim 11 of 20: MH iter 5 of 100,  200...
pluriGaussianSim:   ... sim 11 of 20: MH iter 6 of 100,  200...
pluriGaussianSim:   ... sim 11 of 20: MH iter 7 of 100,  200...
pluriGaussianSim:   ... sim 11 of 20: MH iter 8 of 100,  200...
pluriGaussianSim:   ... sim 11 of 20: MH iter 9 of 100,  200...
pluriGaussianSim:   ... sim 11 of 20: MH iter 10 of 100,  200...
pluriGaussianSim:   ... sim 11 of 20: MH iter 11 of 100,  200...
pluriGaussianSim:   ... sim 11 of 20: MH iter 12 of 100,  200...
pluriGaussianSim:   ... sim 11 of 20: MH iter 13 of 100,  200...
pluriGaussianSim:   ... sim 11 of 20: MH iter 14 of 100,  200...
pluriGaussianSim:   ... sim 11 of 20: MH iter 15 of 100,  200...
pluriGaussianSim:   ... sim 11 of 20: MH iter 16 of 100,  200...
pluriGaussianSim:   ... sim 11 of 20: MH iter 17 of 100,  200...
pluriGaussianSim:   ... sim 11 of 20: MH iter 18 of 100,  200...
pluriGaussianSim:   ... sim 11 of 20: MH iter 19 of 100,  200...
pluriGaussianSim:   ... sim 11 of 20: MH iter 20 of 100,  200...
pluriGaussianSim:   ... sim 11 of 20: MH iter 21 of 100,  200...
pluriGaussianSim:   ... sim 11 of 20: MH iter 22 of 100,  200...
pluriGaussianSim:   ... sim 11 of 20: MH iter 23 of 100,  200...
pluriGaussianSim:   ... sim 11 of 20: MH iter 24 of 100,  200...
pluriGaussianSim:   ... sim 11 of 20: MH iter 25 of 100,  200...
pluriGaussianSim:   ... sim 11 of 20: MH iter 26 of 100,  200...
pluriGaussianSim:   ... sim 11 of 20: MH iter 27 of 100,  200...
pluriGaussianSim:   ... sim 11 of 20: MH iter 28 of 100,  200...
pluriGaussianSim:   ... sim 11 of 20: MH iter 29 of 100,  200...
pluriGaussianSim:   ... sim 11 of 20: MH iter 30 of 100,  200...
pluriGaussianSim:   ... sim 11 of 20: MH iter 31 of 100,  200...
pluriGaussianSim:   ... sim 11 of 20: MH iter 32 of 100,  200...
pluriGaussianSim:   ... sim 11 of 20: MH iter 33 of 100,  200...
pluriGaussianSim:   ... sim 11 of 20: MH iter 34 of 100,  200...
pluriGaussianSim:   ... sim 11 of 20: MH iter 35 of 100,  200...
pluriGaussianSim:   ... sim 11 of 20: MH iter 36 of 100,  200...
pluriGaussianSim:   ... sim 11 of 20: MH iter 37 of 100,  200...
pluriGaussianSim:   ... sim 11 of 20: MH iter 38 of 100,  200...
pluriGaussianSim:   ... sim 11 of 20: MH iter 39 of 100,  200...
pluriGaussianSim:   ... sim 11 of 20: MH iter 40 of 100,  200...
pluriGaussianSim:   ... sim 11 of 20: MH iter 41 of 100,  200...
pluriGaussianSim:   ... sim 11 of 20: MH iter 42 of 100,  200...
pluriGaussianSim:   ... sim 11 of 20: MH iter 43 of 100,  200...
pluriGaussianSim:   ... sim 11 of 20: MH iter 44 of 100,  200...
pluriGaussianSim:   ... sim 11 of 20: MH iter 45 of 100,  200...
pluriGaussianSim:   ... sim 11 of 20: MH iter 46 of 100,  200...
pluriGaussianSim:   ... sim 11 of 20: MH iter 47 of 100,  200...
pluriGaussianSim:   ... sim 11 of 20: MH iter 48 of 100,  200...
pluriGaussianSim:   ... sim 11 of 20: MH iter 49 of 100,  200...
pluriGaussianSim:   ... sim 11 of 20: MH iter 50 of 100,  200...
pluriGaussianSim:   ... sim 11 of 20: MH iter 51 of 100,  200...
pluriGaussianSim:   ... sim 11 of 20: MH iter 52 of 100,  200...
pluriGaussianSim:   ... sim 11 of 20: MH iter 53 of 100,  200...
pluriGaussianSim:   ... sim 11 of 20: MH iter 54 of 100,  200...
pluriGaussianSim:   ... sim 11 of 20: MH iter 55 of 100,  200...
pluriGaussianSim:   ... sim 11 of 20: MH iter 56 of 100,  200...
pluriGaussianSim:   ... sim 11 of 20: MH iter 57 of 100,  200...
pluriGaussianSim:   ... sim 11 of 20: MH iter 58 of 100,  200...
pluriGaussianSim:   ... sim 11 of 20: MH iter 59 of 100,  200...
pluriGaussianSim:   ... sim 11 of 20: MH iter 60 of 100,  200...
pluriGaussianSim:   ... sim 11 of 20: MH iter 61 of 100,  200...
pluriGaussianSim:   ... sim 11 of 20: MH iter 62 of 100,  200...
pluriGaussianSim:   ... sim 11 of 20: MH iter 63 of 100,  200...
pluriGaussianSim:   ... sim 11 of 20: MH iter 64 of 100,  200...
pluriGaussianSim:   ... sim 11 of 20: MH iter 65 of 100,  200...
pluriGaussianSim:   ... sim 11 of 20: MH iter 66 of 100,  200...
pluriGaussianSim:   ... sim 11 of 20: MH iter 67 of 100,  200...
pluriGaussianSim:   ... sim 11 of 20: MH iter 68 of 100,  200...
pluriGaussianSim:   ... sim 11 of 20: MH iter 69 of 100,  200...
pluriGaussianSim:   ... sim 11 of 20: MH iter 70 of 100,  200...
pluriGaussianSim:   ... sim 11 of 20: MH iter 71 of 100,  200...
pluriGaussianSim:   ... sim 11 of 20: MH iter 72 of 100,  200...
pluriGaussianSim:   ... sim 11 of 20: MH iter 73 of 100,  200...
pluriGaussianSim:   ... sim 11 of 20: MH iter 74 of 100,  200...
pluriGaussianSim:   ... sim 11 of 20: MH iter 75 of 100,  200...
pluriGaussianSim:   ... sim 11 of 20: MH iter 76 of 100,  200...
pluriGaussianSim:   ... sim 11 of 20: MH iter 77 of 100,  200...
pluriGaussianSim:   ... sim 11 of 20: MH iter 78 of 100,  200...
pluriGaussianSim:   ... sim 11 of 20: MH iter 79 of 100,  200...
pluriGaussianSim:   ... sim 11 of 20: MH iter 80 of 100,  200...
pluriGaussianSim:   ... sim 11 of 20: MH iter 81 of 100,  200...
pluriGaussianSim:   ... sim 11 of 20: MH iter 82 of 100,  200...
pluriGaussianSim:   ... sim 11 of 20: MH iter 83 of 100,  200...
pluriGaussianSim:   ... sim 11 of 20: MH iter 84 of 100,  200...
pluriGaussianSim:   ... sim 11 of 20: MH iter 85 of 100,  200...
pluriGaussianSim:   ... sim 11 of 20: MH iter 86 of 100,  200...
pluriGaussianSim:   ... sim 11 of 20: MH iter 87 of 100,  200...
pluriGaussianSim:   ... sim 11 of 20: MH iter 88 of 100,  200...
pluriGaussianSim:   ... sim 11 of 20: MH iter 89 of 100,  200...
pluriGaussianSim:   ... sim 11 of 20: MH iter 90 of 100,  200...
pluriGaussianSim:   ... sim 11 of 20: MH iter 91 of 100,  200...
pluriGaussianSim:   ... sim 11 of 20: MH iter 92 of 100,  200...
pluriGaussianSim:   ... sim 11 of 20: MH iter 93 of 100,  200...
pluriGaussianSim:   ... sim 11 of 20: MH iter 94 of 100,  200...
pluriGaussianSim:   ... sim 11 of 20: MH iter 95 of 100,  200...
pluriGaussianSim:   ... sim 11 of 20: MH iter 96 of 100,  200...
pluriGaussianSim:   ... sim 11 of 20: MH iter 97 of 100,  200...
pluriGaussianSim:   ... sim 11 of 20: MH iter 98 of 100,  200...
pluriGaussianSim:   ... sim 11 of 20: MH iter 99 of 100,  200...
pluriGaussianSim:   ... sim 11 of 20: MH iter 100 of 100,  200...
pluriGaussianSim: simulation 12 of 20...
pluriGaussianSim:   ... sim 12 of 20: MH iter 1 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 2 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 3 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 4 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 5 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 6 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 7 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 8 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 9 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 10 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 11 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 12 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 13 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 14 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 15 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 16 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 17 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 18 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 19 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 20 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 21 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 22 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 23 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 24 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 25 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 26 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 27 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 28 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 29 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 30 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 31 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 32 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 33 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 34 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 35 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 36 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 37 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 38 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 39 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 40 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 41 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 42 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 43 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 44 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 45 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 46 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 47 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 48 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 49 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 50 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 51 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 52 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 53 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 54 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 55 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 56 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 57 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 58 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 59 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 60 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 61 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 62 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 63 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 64 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 65 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 66 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 67 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 68 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 69 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 70 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 71 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 72 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 73 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 74 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 75 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 76 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 77 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 78 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 79 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 80 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 81 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 82 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 83 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 84 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 85 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 86 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 87 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 88 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 89 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 90 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 91 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 92 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 93 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 94 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 95 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 96 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 97 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 98 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 99 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 100 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 101 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 102 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 103 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 104 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 105 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 106 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 107 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 108 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 109 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 110 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 111 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 112 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 113 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 114 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 115 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 116 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 117 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 118 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 119 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 120 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 121 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 122 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 123 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 124 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 125 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 126 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 127 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 128 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 129 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 130 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 131 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 132 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 133 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 134 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 135 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 136 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 137 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 138 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 139 of 100,  200...
pluriGaussianSim:   ... sim 12 of 20: MH iter 140 of 100,  200...
pluriGaussianSim: simulation 13 of 20...
pluriGaussianSim:   ... sim 13 of 20: MH iter 1 of 100,  200...
pluriGaussianSim:   ... sim 13 of 20: MH iter 2 of 100,  200...
pluriGaussianSim:   ... sim 13 of 20: MH iter 3 of 100,  200...
pluriGaussianSim:   ... sim 13 of 20: MH iter 4 of 100,  200...
pluriGaussianSim:   ... sim 13 of 20: MH iter 5 of 100,  200...
pluriGaussianSim:   ... sim 13 of 20: MH iter 6 of 100,  200...
pluriGaussianSim:   ... sim 13 of 20: MH iter 7 of 100,  200...
pluriGaussianSim:   ... sim 13 of 20: MH iter 8 of 100,  200...
pluriGaussianSim:   ... sim 13 of 20: MH iter 9 of 100,  200...
pluriGaussianSim:   ... sim 13 of 20: MH iter 10 of 100,  200...
pluriGaussianSim:   ... sim 13 of 20: MH iter 11 of 100,  200...
pluriGaussianSim:   ... sim 13 of 20: MH iter 12 of 100,  200...
pluriGaussianSim:   ... sim 13 of 20: MH iter 13 of 100,  200...
pluriGaussianSim:   ... sim 13 of 20: MH iter 14 of 100,  200...
pluriGaussianSim:   ... sim 13 of 20: MH iter 15 of 100,  200...
pluriGaussianSim:   ... sim 13 of 20: MH iter 16 of 100,  200...
pluriGaussianSim:   ... sim 13 of 20: MH iter 17 of 100,  200...
pluriGaussianSim:   ... sim 13 of 20: MH iter 18 of 100,  200...
pluriGaussianSim:   ... sim 13 of 20: MH iter 19 of 100,  200...
pluriGaussianSim:   ... sim 13 of 20: MH iter 20 of 100,  200...
pluriGaussianSim:   ... sim 13 of 20: MH iter 21 of 100,  200...
pluriGaussianSim:   ... sim 13 of 20: MH iter 22 of 100,  200...
pluriGaussianSim:   ... sim 13 of 20: MH iter 23 of 100,  200...
pluriGaussianSim:   ... sim 13 of 20: MH iter 24 of 100,  200...
pluriGaussianSim:   ... sim 13 of 20: MH iter 25 of 100,  200...
pluriGaussianSim:   ... sim 13 of 20: MH iter 26 of 100,  200...
pluriGaussianSim:   ... sim 13 of 20: MH iter 27 of 100,  200...
pluriGaussianSim:   ... sim 13 of 20: MH iter 28 of 100,  200...
pluriGaussianSim:   ... sim 13 of 20: MH iter 29 of 100,  200...
pluriGaussianSim:   ... sim 13 of 20: MH iter 30 of 100,  200...
pluriGaussianSim:   ... sim 13 of 20: MH iter 31 of 100,  200...
pluriGaussianSim:   ... sim 13 of 20: MH iter 32 of 100,  200...
pluriGaussianSim:   ... sim 13 of 20: MH iter 33 of 100,  200...
pluriGaussianSim:   ... sim 13 of 20: MH iter 34 of 100,  200...
pluriGaussianSim:   ... sim 13 of 20: MH iter 35 of 100,  200...
pluriGaussianSim:   ... sim 13 of 20: MH iter 36 of 100,  200...
pluriGaussianSim:   ... sim 13 of 20: MH iter 37 of 100,  200...
pluriGaussianSim:   ... sim 13 of 20: MH iter 38 of 100,  200...
pluriGaussianSim:   ... sim 13 of 20: MH iter 39 of 100,  200...
pluriGaussianSim:   ... sim 13 of 20: MH iter 40 of 100,  200...
pluriGaussianSim:   ... sim 13 of 20: MH iter 41 of 100,  200...
pluriGaussianSim:   ... sim 13 of 20: MH iter 42 of 100,  200...
pluriGaussianSim:   ... sim 13 of 20: MH iter 43 of 100,  200...
pluriGaussianSim:   ... sim 13 of 20: MH iter 44 of 100,  200...
pluriGaussianSim:   ... sim 13 of 20: MH iter 45 of 100,  200...
pluriGaussianSim:   ... sim 13 of 20: MH iter 46 of 100,  200...
pluriGaussianSim:   ... sim 13 of 20: MH iter 47 of 100,  200...
pluriGaussianSim:   ... sim 13 of 20: MH iter 48 of 100,  200...
pluriGaussianSim:   ... sim 13 of 20: MH iter 49 of 100,  200...
pluriGaussianSim:   ... sim 13 of 20: MH iter 50 of 100,  200...
pluriGaussianSim:   ... sim 13 of 20: MH iter 51 of 100,  200...
pluriGaussianSim:   ... sim 13 of 20: MH iter 52 of 100,  200...
pluriGaussianSim:   ... sim 13 of 20: MH iter 53 of 100,  200...
pluriGaussianSim:   ... sim 13 of 20: MH iter 54 of 100,  200...
pluriGaussianSim:   ... sim 13 of 20: MH iter 55 of 100,  200...
pluriGaussianSim:   ... sim 13 of 20: MH iter 56 of 100,  200...
pluriGaussianSim:   ... sim 13 of 20: MH iter 57 of 100,  200...
pluriGaussianSim:   ... sim 13 of 20: MH iter 58 of 100,  200...
pluriGaussianSim:   ... sim 13 of 20: MH iter 59 of 100,  200...
pluriGaussianSim:   ... sim 13 of 20: MH iter 60 of 100,  200...
pluriGaussianSim:   ... sim 13 of 20: MH iter 61 of 100,  200...
pluriGaussianSim:   ... sim 13 of 20: MH iter 62 of 100,  200...
pluriGaussianSim:   ... sim 13 of 20: MH iter 63 of 100,  200...
pluriGaussianSim:   ... sim 13 of 20: MH iter 64 of 100,  200...
pluriGaussianSim:   ... sim 13 of 20: MH iter 65 of 100,  200...
pluriGaussianSim:   ... sim 13 of 20: MH iter 66 of 100,  200...
pluriGaussianSim:   ... sim 13 of 20: MH iter 67 of 100,  200...
pluriGaussianSim:   ... sim 13 of 20: MH iter 68 of 100,  200...
pluriGaussianSim:   ... sim 13 of 20: MH iter 69 of 100,  200...
pluriGaussianSim:   ... sim 13 of 20: MH iter 70 of 100,  200...
pluriGaussianSim:   ... sim 13 of 20: MH iter 71 of 100,  200...
pluriGaussianSim:   ... sim 13 of 20: MH iter 72 of 100,  200...
pluriGaussianSim:   ... sim 13 of 20: MH iter 73 of 100,  200...
pluriGaussianSim:   ... sim 13 of 20: MH iter 74 of 100,  200...
pluriGaussianSim:   ... sim 13 of 20: MH iter 75 of 100,  200...
pluriGaussianSim:   ... sim 13 of 20: MH iter 76 of 100,  200...
pluriGaussianSim:   ... sim 13 of 20: MH iter 77 of 100,  200...
pluriGaussianSim:   ... sim 13 of 20: MH iter 78 of 100,  200...
pluriGaussianSim:   ... sim 13 of 20: MH iter 79 of 100,  200...
pluriGaussianSim:   ... sim 13 of 20: MH iter 80 of 100,  200...
pluriGaussianSim:   ... sim 13 of 20: MH iter 81 of 100,  200...
pluriGaussianSim:   ... sim 13 of 20: MH iter 82 of 100,  200...
pluriGaussianSim:   ... sim 13 of 20: MH iter 83 of 100,  200...
pluriGaussianSim:   ... sim 13 of 20: MH iter 84 of 100,  200...
pluriGaussianSim:   ... sim 13 of 20: MH iter 85 of 100,  200...
pluriGaussianSim:   ... sim 13 of 20: MH iter 86 of 100,  200...
pluriGaussianSim:   ... sim 13 of 20: MH iter 87 of 100,  200...
pluriGaussianSim:   ... sim 13 of 20: MH iter 88 of 100,  200...
pluriGaussianSim:   ... sim 13 of 20: MH iter 89 of 100,  200...
pluriGaussianSim:   ... sim 13 of 20: MH iter 90 of 100,  200...
pluriGaussianSim:   ... sim 13 of 20: MH iter 91 of 100,  200...
pluriGaussianSim:   ... sim 13 of 20: MH iter 92 of 100,  200...
pluriGaussianSim:   ... sim 13 of 20: MH iter 93 of 100,  200...
pluriGaussianSim:   ... sim 13 of 20: MH iter 94 of 100,  200...
pluriGaussianSim:   ... sim 13 of 20: MH iter 95 of 100,  200...
pluriGaussianSim:   ... sim 13 of 20: MH iter 96 of 100,  200...
pluriGaussianSim:   ... sim 13 of 20: MH iter 97 of 100,  200...
pluriGaussianSim:   ... sim 13 of 20: MH iter 98 of 100,  200...
pluriGaussianSim:   ... sim 13 of 20: MH iter 99 of 100,  200...
pluriGaussianSim:   ... sim 13 of 20: MH iter 100 of 100,  200...
pluriGaussianSim: simulation 14 of 20...
pluriGaussianSim:   ... sim 14 of 20: MH iter 1 of 100,  200...
pluriGaussianSim:   ... sim 14 of 20: MH iter 2 of 100,  200...
pluriGaussianSim:   ... sim 14 of 20: MH iter 3 of 100,  200...
pluriGaussianSim:   ... sim 14 of 20: MH iter 4 of 100,  200...
pluriGaussianSim:   ... sim 14 of 20: MH iter 5 of 100,  200...
pluriGaussianSim:   ... sim 14 of 20: MH iter 6 of 100,  200...
pluriGaussianSim:   ... sim 14 of 20: MH iter 7 of 100,  200...
pluriGaussianSim:   ... sim 14 of 20: MH iter 8 of 100,  200...
pluriGaussianSim:   ... sim 14 of 20: MH iter 9 of 100,  200...
pluriGaussianSim:   ... sim 14 of 20: MH iter 10 of 100,  200...
pluriGaussianSim:   ... sim 14 of 20: MH iter 11 of 100,  200...
pluriGaussianSim:   ... sim 14 of 20: MH iter 12 of 100,  200...
pluriGaussianSim:   ... sim 14 of 20: MH iter 13 of 100,  200...
pluriGaussianSim:   ... sim 14 of 20: MH iter 14 of 100,  200...
pluriGaussianSim:   ... sim 14 of 20: MH iter 15 of 100,  200...
pluriGaussianSim:   ... sim 14 of 20: MH iter 16 of 100,  200...
pluriGaussianSim:   ... sim 14 of 20: MH iter 17 of 100,  200...
pluriGaussianSim:   ... sim 14 of 20: MH iter 18 of 100,  200...
pluriGaussianSim:   ... sim 14 of 20: MH iter 19 of 100,  200...
pluriGaussianSim:   ... sim 14 of 20: MH iter 20 of 100,  200...
pluriGaussianSim:   ... sim 14 of 20: MH iter 21 of 100,  200...
pluriGaussianSim:   ... sim 14 of 20: MH iter 22 of 100,  200...
pluriGaussianSim:   ... sim 14 of 20: MH iter 23 of 100,  200...
pluriGaussianSim:   ... sim 14 of 20: MH iter 24 of 100,  200...
pluriGaussianSim:   ... sim 14 of 20: MH iter 25 of 100,  200...
pluriGaussianSim:   ... sim 14 of 20: MH iter 26 of 100,  200...
pluriGaussianSim:   ... sim 14 of 20: MH iter 27 of 100,  200...
pluriGaussianSim:   ... sim 14 of 20: MH iter 28 of 100,  200...
pluriGaussianSim:   ... sim 14 of 20: MH iter 29 of 100,  200...
pluriGaussianSim:   ... sim 14 of 20: MH iter 30 of 100,  200...
pluriGaussianSim:   ... sim 14 of 20: MH iter 31 of 100,  200...
pluriGaussianSim:   ... sim 14 of 20: MH iter 32 of 100,  200...
pluriGaussianSim:   ... sim 14 of 20: MH iter 33 of 100,  200...
pluriGaussianSim:   ... sim 14 of 20: MH iter 34 of 100,  200...
pluriGaussianSim:   ... sim 14 of 20: MH iter 35 of 100,  200...
pluriGaussianSim:   ... sim 14 of 20: MH iter 36 of 100,  200...
pluriGaussianSim:   ... sim 14 of 20: MH iter 37 of 100,  200...
pluriGaussianSim:   ... sim 14 of 20: MH iter 38 of 100,  200...
pluriGaussianSim:   ... sim 14 of 20: MH iter 39 of 100,  200...
pluriGaussianSim:   ... sim 14 of 20: MH iter 40 of 100,  200...
pluriGaussianSim:   ... sim 14 of 20: MH iter 41 of 100,  200...
pluriGaussianSim:   ... sim 14 of 20: MH iter 42 of 100,  200...
pluriGaussianSim:   ... sim 14 of 20: MH iter 43 of 100,  200...
pluriGaussianSim:   ... sim 14 of 20: MH iter 44 of 100,  200...
pluriGaussianSim:   ... sim 14 of 20: MH iter 45 of 100,  200...
pluriGaussianSim:   ... sim 14 of 20: MH iter 46 of 100,  200...
pluriGaussianSim:   ... sim 14 of 20: MH iter 47 of 100,  200...
pluriGaussianSim:   ... sim 14 of 20: MH iter 48 of 100,  200...
pluriGaussianSim:   ... sim 14 of 20: MH iter 49 of 100,  200...
pluriGaussianSim:   ... sim 14 of 20: MH iter 50 of 100,  200...
pluriGaussianSim:   ... sim 14 of 20: MH iter 51 of 100,  200...
pluriGaussianSim:   ... sim 14 of 20: MH iter 52 of 100,  200...
pluriGaussianSim:   ... sim 14 of 20: MH iter 53 of 100,  200...
pluriGaussianSim:   ... sim 14 of 20: MH iter 54 of 100,  200...
pluriGaussianSim:   ... sim 14 of 20: MH iter 55 of 100,  200...
pluriGaussianSim:   ... sim 14 of 20: MH iter 56 of 100,  200...
pluriGaussianSim:   ... sim 14 of 20: MH iter 57 of 100,  200...
pluriGaussianSim:   ... sim 14 of 20: MH iter 58 of 100,  200...
pluriGaussianSim:   ... sim 14 of 20: MH iter 59 of 100,  200...
pluriGaussianSim:   ... sim 14 of 20: MH iter 60 of 100,  200...
pluriGaussianSim:   ... sim 14 of 20: MH iter 61 of 100,  200...
pluriGaussianSim:   ... sim 14 of 20: MH iter 62 of 100,  200...
pluriGaussianSim:   ... sim 14 of 20: MH iter 63 of 100,  200...
pluriGaussianSim:   ... sim 14 of 20: MH iter 64 of 100,  200...
pluriGaussianSim:   ... sim 14 of 20: MH iter 65 of 100,  200...
pluriGaussianSim:   ... sim 14 of 20: MH iter 66 of 100,  200...
pluriGaussianSim:   ... sim 14 of 20: MH iter 67 of 100,  200...
pluriGaussianSim:   ... sim 14 of 20: MH iter 68 of 100,  200...
pluriGaussianSim:   ... sim 14 of 20: MH iter 69 of 100,  200...
pluriGaussianSim:   ... sim 14 of 20: MH iter 70 of 100,  200...
pluriGaussianSim:   ... sim 14 of 20: MH iter 71 of 100,  200...
pluriGaussianSim:   ... sim 14 of 20: MH iter 72 of 100,  200...
pluriGaussianSim:   ... sim 14 of 20: MH iter 73 of 100,  200...
pluriGaussianSim:   ... sim 14 of 20: MH iter 74 of 100,  200...
pluriGaussianSim:   ... sim 14 of 20: MH iter 75 of 100,  200...
pluriGaussianSim:   ... sim 14 of 20: MH iter 76 of 100,  200...
pluriGaussianSim:   ... sim 14 of 20: MH iter 77 of 100,  200...
pluriGaussianSim:   ... sim 14 of 20: MH iter 78 of 100,  200...
pluriGaussianSim:   ... sim 14 of 20: MH iter 79 of 100,  200...
pluriGaussianSim:   ... sim 14 of 20: MH iter 80 of 100,  200...
pluriGaussianSim:   ... sim 14 of 20: MH iter 81 of 100,  200...
pluriGaussianSim:   ... sim 14 of 20: MH iter 82 of 100,  200...
pluriGaussianSim:   ... sim 14 of 20: MH iter 83 of 100,  200...
pluriGaussianSim:   ... sim 14 of 20: MH iter 84 of 100,  200...
pluriGaussianSim:   ... sim 14 of 20: MH iter 85 of 100,  200...
pluriGaussianSim:   ... sim 14 of 20: MH iter 86 of 100,  200...
pluriGaussianSim:   ... sim 14 of 20: MH iter 87 of 100,  200...
pluriGaussianSim:   ... sim 14 of 20: MH iter 88 of 100,  200...
pluriGaussianSim:   ... sim 14 of 20: MH iter 89 of 100,  200...
pluriGaussianSim:   ... sim 14 of 20: MH iter 90 of 100,  200...
pluriGaussianSim:   ... sim 14 of 20: MH iter 91 of 100,  200...
pluriGaussianSim:   ... sim 14 of 20: MH iter 92 of 100,  200...
pluriGaussianSim:   ... sim 14 of 20: MH iter 93 of 100,  200...
pluriGaussianSim:   ... sim 14 of 20: MH iter 94 of 100,  200...
pluriGaussianSim:   ... sim 14 of 20: MH iter 95 of 100,  200...
pluriGaussianSim:   ... sim 14 of 20: MH iter 96 of 100,  200...
pluriGaussianSim:   ... sim 14 of 20: MH iter 97 of 100,  200...
pluriGaussianSim:   ... sim 14 of 20: MH iter 98 of 100,  200...
pluriGaussianSim:   ... sim 14 of 20: MH iter 99 of 100,  200...
pluriGaussianSim:   ... sim 14 of 20: MH iter 100 of 100,  200...
pluriGaussianSim:   ... sim 14 of 20: MH iter 101 of 100,  200...
pluriGaussianSim:   ... sim 14 of 20: MH iter 102 of 100,  200...
pluriGaussianSim:   ... sim 14 of 20: MH iter 103 of 100,  200...
pluriGaussianSim:   ... sim 14 of 20: MH iter 104 of 100,  200...
pluriGaussianSim:   ... sim 14 of 20: MH iter 105 of 100,  200...
pluriGaussianSim:   ... sim 14 of 20: MH iter 106 of 100,  200...
pluriGaussianSim: simulation 15 of 20...
pluriGaussianSim:   ... sim 15 of 20: MH iter 1 of 100,  200...
pluriGaussianSim:   ... sim 15 of 20: MH iter 2 of 100,  200...
pluriGaussianSim:   ... sim 15 of 20: MH iter 3 of 100,  200...
pluriGaussianSim:   ... sim 15 of 20: MH iter 4 of 100,  200...
pluriGaussianSim:   ... sim 15 of 20: MH iter 5 of 100,  200...
pluriGaussianSim:   ... sim 15 of 20: MH iter 6 of 100,  200...
pluriGaussianSim:   ... sim 15 of 20: MH iter 7 of 100,  200...
pluriGaussianSim:   ... sim 15 of 20: MH iter 8 of 100,  200...
pluriGaussianSim:   ... sim 15 of 20: MH iter 9 of 100,  200...
pluriGaussianSim:   ... sim 15 of 20: MH iter 10 of 100,  200...
pluriGaussianSim:   ... sim 15 of 20: MH iter 11 of 100,  200...
pluriGaussianSim:   ... sim 15 of 20: MH iter 12 of 100,  200...
pluriGaussianSim:   ... sim 15 of 20: MH iter 13 of 100,  200...
pluriGaussianSim:   ... sim 15 of 20: MH iter 14 of 100,  200...
pluriGaussianSim:   ... sim 15 of 20: MH iter 15 of 100,  200...
pluriGaussianSim:   ... sim 15 of 20: MH iter 16 of 100,  200...
pluriGaussianSim:   ... sim 15 of 20: MH iter 17 of 100,  200...
pluriGaussianSim:   ... sim 15 of 20: MH iter 18 of 100,  200...
pluriGaussianSim:   ... sim 15 of 20: MH iter 19 of 100,  200...
pluriGaussianSim:   ... sim 15 of 20: MH iter 20 of 100,  200...
pluriGaussianSim:   ... sim 15 of 20: MH iter 21 of 100,  200...
pluriGaussianSim:   ... sim 15 of 20: MH iter 22 of 100,  200...
pluriGaussianSim:   ... sim 15 of 20: MH iter 23 of 100,  200...
pluriGaussianSim:   ... sim 15 of 20: MH iter 24 of 100,  200...
pluriGaussianSim:   ... sim 15 of 20: MH iter 25 of 100,  200...
pluriGaussianSim:   ... sim 15 of 20: MH iter 26 of 100,  200...
pluriGaussianSim:   ... sim 15 of 20: MH iter 27 of 100,  200...
pluriGaussianSim:   ... sim 15 of 20: MH iter 28 of 100,  200...
pluriGaussianSim:   ... sim 15 of 20: MH iter 29 of 100,  200...
pluriGaussianSim:   ... sim 15 of 20: MH iter 30 of 100,  200...
pluriGaussianSim:   ... sim 15 of 20: MH iter 31 of 100,  200...
pluriGaussianSim:   ... sim 15 of 20: MH iter 32 of 100,  200...
pluriGaussianSim:   ... sim 15 of 20: MH iter 33 of 100,  200...
pluriGaussianSim:   ... sim 15 of 20: MH iter 34 of 100,  200...
pluriGaussianSim:   ... sim 15 of 20: MH iter 35 of 100,  200...
pluriGaussianSim:   ... sim 15 of 20: MH iter 36 of 100,  200...
pluriGaussianSim:   ... sim 15 of 20: MH iter 37 of 100,  200...
pluriGaussianSim:   ... sim 15 of 20: MH iter 38 of 100,  200...
pluriGaussianSim:   ... sim 15 of 20: MH iter 39 of 100,  200...
pluriGaussianSim:   ... sim 15 of 20: MH iter 40 of 100,  200...
pluriGaussianSim:   ... sim 15 of 20: MH iter 41 of 100,  200...
pluriGaussianSim:   ... sim 15 of 20: MH iter 42 of 100,  200...
pluriGaussianSim:   ... sim 15 of 20: MH iter 43 of 100,  200...
pluriGaussianSim:   ... sim 15 of 20: MH iter 44 of 100,  200...
pluriGaussianSim:   ... sim 15 of 20: MH iter 45 of 100,  200...
pluriGaussianSim:   ... sim 15 of 20: MH iter 46 of 100,  200...
pluriGaussianSim:   ... sim 15 of 20: MH iter 47 of 100,  200...
pluriGaussianSim:   ... sim 15 of 20: MH iter 48 of 100,  200...
pluriGaussianSim:   ... sim 15 of 20: MH iter 49 of 100,  200...
pluriGaussianSim:   ... sim 15 of 20: MH iter 50 of 100,  200...
pluriGaussianSim:   ... sim 15 of 20: MH iter 51 of 100,  200...
pluriGaussianSim:   ... sim 15 of 20: MH iter 52 of 100,  200...
pluriGaussianSim:   ... sim 15 of 20: MH iter 53 of 100,  200...
pluriGaussianSim:   ... sim 15 of 20: MH iter 54 of 100,  200...
pluriGaussianSim:   ... sim 15 of 20: MH iter 55 of 100,  200...
pluriGaussianSim:   ... sim 15 of 20: MH iter 56 of 100,  200...
pluriGaussianSim:   ... sim 15 of 20: MH iter 57 of 100,  200...
pluriGaussianSim:   ... sim 15 of 20: MH iter 58 of 100,  200...
pluriGaussianSim:   ... sim 15 of 20: MH iter 59 of 100,  200...
pluriGaussianSim:   ... sim 15 of 20: MH iter 60 of 100,  200...
pluriGaussianSim:   ... sim 15 of 20: MH iter 61 of 100,  200...
pluriGaussianSim:   ... sim 15 of 20: MH iter 62 of 100,  200...
pluriGaussianSim:   ... sim 15 of 20: MH iter 63 of 100,  200...
pluriGaussianSim:   ... sim 15 of 20: MH iter 64 of 100,  200...
pluriGaussianSim:   ... sim 15 of 20: MH iter 65 of 100,  200...
pluriGaussianSim:   ... sim 15 of 20: MH iter 66 of 100,  200...
pluriGaussianSim:   ... sim 15 of 20: MH iter 67 of 100,  200...
pluriGaussianSim:   ... sim 15 of 20: MH iter 68 of 100,  200...
pluriGaussianSim:   ... sim 15 of 20: MH iter 69 of 100,  200...
pluriGaussianSim:   ... sim 15 of 20: MH iter 70 of 100,  200...
pluriGaussianSim:   ... sim 15 of 20: MH iter 71 of 100,  200...
pluriGaussianSim:   ... sim 15 of 20: MH iter 72 of 100,  200...
pluriGaussianSim:   ... sim 15 of 20: MH iter 73 of 100,  200...
pluriGaussianSim:   ... sim 15 of 20: MH iter 74 of 100,  200...
pluriGaussianSim:   ... sim 15 of 20: MH iter 75 of 100,  200...
pluriGaussianSim:   ... sim 15 of 20: MH iter 76 of 100,  200...
pluriGaussianSim:   ... sim 15 of 20: MH iter 77 of 100,  200...
pluriGaussianSim:   ... sim 15 of 20: MH iter 78 of 100,  200...
pluriGaussianSim:   ... sim 15 of 20: MH iter 79 of 100,  200...
pluriGaussianSim:   ... sim 15 of 20: MH iter 80 of 100,  200...
pluriGaussianSim:   ... sim 15 of 20: MH iter 81 of 100,  200...
pluriGaussianSim:   ... sim 15 of 20: MH iter 82 of 100,  200...
pluriGaussianSim:   ... sim 15 of 20: MH iter 83 of 100,  200...
pluriGaussianSim:   ... sim 15 of 20: MH iter 84 of 100,  200...
pluriGaussianSim:   ... sim 15 of 20: MH iter 85 of 100,  200...
pluriGaussianSim:   ... sim 15 of 20: MH iter 86 of 100,  200...
pluriGaussianSim:   ... sim 15 of 20: MH iter 87 of 100,  200...
pluriGaussianSim:   ... sim 15 of 20: MH iter 88 of 100,  200...
pluriGaussianSim:   ... sim 15 of 20: MH iter 89 of 100,  200...
pluriGaussianSim:   ... sim 15 of 20: MH iter 90 of 100,  200...
pluriGaussianSim:   ... sim 15 of 20: MH iter 91 of 100,  200...
pluriGaussianSim:   ... sim 15 of 20: MH iter 92 of 100,  200...
pluriGaussianSim:   ... sim 15 of 20: MH iter 93 of 100,  200...
pluriGaussianSim:   ... sim 15 of 20: MH iter 94 of 100,  200...
pluriGaussianSim:   ... sim 15 of 20: MH iter 95 of 100,  200...
pluriGaussianSim:   ... sim 15 of 20: MH iter 96 of 100,  200...
pluriGaussianSim:   ... sim 15 of 20: MH iter 97 of 100,  200...
pluriGaussianSim:   ... sim 15 of 20: MH iter 98 of 100,  200...
pluriGaussianSim:   ... sim 15 of 20: MH iter 99 of 100,  200...
pluriGaussianSim:   ... sim 15 of 20: MH iter 100 of 100,  200...
pluriGaussianSim: simulation 16 of 20...
pluriGaussianSim:   ... sim 16 of 20: MH iter 1 of 100,  200...
pluriGaussianSim:   ... sim 16 of 20: MH iter 2 of 100,  200...
pluriGaussianSim:   ... sim 16 of 20: MH iter 3 of 100,  200...
pluriGaussianSim:   ... sim 16 of 20: MH iter 4 of 100,  200...
pluriGaussianSim:   ... sim 16 of 20: MH iter 5 of 100,  200...
pluriGaussianSim:   ... sim 16 of 20: MH iter 6 of 100,  200...
pluriGaussianSim:   ... sim 16 of 20: MH iter 7 of 100,  200...
pluriGaussianSim:   ... sim 16 of 20: MH iter 8 of 100,  200...
pluriGaussianSim:   ... sim 16 of 20: MH iter 9 of 100,  200...
pluriGaussianSim:   ... sim 16 of 20: MH iter 10 of 100,  200...
pluriGaussianSim:   ... sim 16 of 20: MH iter 11 of 100,  200...
pluriGaussianSim:   ... sim 16 of 20: MH iter 12 of 100,  200...
pluriGaussianSim:   ... sim 16 of 20: MH iter 13 of 100,  200...
pluriGaussianSim:   ... sim 16 of 20: MH iter 14 of 100,  200...
pluriGaussianSim:   ... sim 16 of 20: MH iter 15 of 100,  200...
pluriGaussianSim:   ... sim 16 of 20: MH iter 16 of 100,  200...
pluriGaussianSim:   ... sim 16 of 20: MH iter 17 of 100,  200...
pluriGaussianSim:   ... sim 16 of 20: MH iter 18 of 100,  200...
pluriGaussianSim:   ... sim 16 of 20: MH iter 19 of 100,  200...
pluriGaussianSim:   ... sim 16 of 20: MH iter 20 of 100,  200...
pluriGaussianSim:   ... sim 16 of 20: MH iter 21 of 100,  200...
pluriGaussianSim:   ... sim 16 of 20: MH iter 22 of 100,  200...
pluriGaussianSim:   ... sim 16 of 20: MH iter 23 of 100,  200...
pluriGaussianSim:   ... sim 16 of 20: MH iter 24 of 100,  200...
pluriGaussianSim:   ... sim 16 of 20: MH iter 25 of 100,  200...
pluriGaussianSim:   ... sim 16 of 20: MH iter 26 of 100,  200...
pluriGaussianSim:   ... sim 16 of 20: MH iter 27 of 100,  200...
pluriGaussianSim:   ... sim 16 of 20: MH iter 28 of 100,  200...
pluriGaussianSim:   ... sim 16 of 20: MH iter 29 of 100,  200...
pluriGaussianSim:   ... sim 16 of 20: MH iter 30 of 100,  200...
pluriGaussianSim:   ... sim 16 of 20: MH iter 31 of 100,  200...
pluriGaussianSim:   ... sim 16 of 20: MH iter 32 of 100,  200...
pluriGaussianSim:   ... sim 16 of 20: MH iter 33 of 100,  200...
pluriGaussianSim:   ... sim 16 of 20: MH iter 34 of 100,  200...
pluriGaussianSim:   ... sim 16 of 20: MH iter 35 of 100,  200...
pluriGaussianSim:   ... sim 16 of 20: MH iter 36 of 100,  200...
pluriGaussianSim:   ... sim 16 of 20: MH iter 37 of 100,  200...
pluriGaussianSim:   ... sim 16 of 20: MH iter 38 of 100,  200...
pluriGaussianSim:   ... sim 16 of 20: MH iter 39 of 100,  200...
pluriGaussianSim:   ... sim 16 of 20: MH iter 40 of 100,  200...
pluriGaussianSim:   ... sim 16 of 20: MH iter 41 of 100,  200...
pluriGaussianSim:   ... sim 16 of 20: MH iter 42 of 100,  200...
pluriGaussianSim:   ... sim 16 of 20: MH iter 43 of 100,  200...
pluriGaussianSim:   ... sim 16 of 20: MH iter 44 of 100,  200...
pluriGaussianSim:   ... sim 16 of 20: MH iter 45 of 100,  200...
pluriGaussianSim:   ... sim 16 of 20: MH iter 46 of 100,  200...
pluriGaussianSim:   ... sim 16 of 20: MH iter 47 of 100,  200...
pluriGaussianSim:   ... sim 16 of 20: MH iter 48 of 100,  200...
pluriGaussianSim:   ... sim 16 of 20: MH iter 49 of 100,  200...
pluriGaussianSim:   ... sim 16 of 20: MH iter 50 of 100,  200...
pluriGaussianSim:   ... sim 16 of 20: MH iter 51 of 100,  200...
pluriGaussianSim:   ... sim 16 of 20: MH iter 52 of 100,  200...
pluriGaussianSim:   ... sim 16 of 20: MH iter 53 of 100,  200...
pluriGaussianSim:   ... sim 16 of 20: MH iter 54 of 100,  200...
pluriGaussianSim:   ... sim 16 of 20: MH iter 55 of 100,  200...
pluriGaussianSim:   ... sim 16 of 20: MH iter 56 of 100,  200...
pluriGaussianSim:   ... sim 16 of 20: MH iter 57 of 100,  200...
pluriGaussianSim:   ... sim 16 of 20: MH iter 58 of 100,  200...
pluriGaussianSim:   ... sim 16 of 20: MH iter 59 of 100,  200...
pluriGaussianSim:   ... sim 16 of 20: MH iter 60 of 100,  200...
pluriGaussianSim:   ... sim 16 of 20: MH iter 61 of 100,  200...
pluriGaussianSim:   ... sim 16 of 20: MH iter 62 of 100,  200...
pluriGaussianSim:   ... sim 16 of 20: MH iter 63 of 100,  200...
pluriGaussianSim:   ... sim 16 of 20: MH iter 64 of 100,  200...
pluriGaussianSim:   ... sim 16 of 20: MH iter 65 of 100,  200...
pluriGaussianSim:   ... sim 16 of 20: MH iter 66 of 100,  200...
pluriGaussianSim:   ... sim 16 of 20: MH iter 67 of 100,  200...
pluriGaussianSim:   ... sim 16 of 20: MH iter 68 of 100,  200...
pluriGaussianSim:   ... sim 16 of 20: MH iter 69 of 100,  200...
pluriGaussianSim:   ... sim 16 of 20: MH iter 70 of 100,  200...
pluriGaussianSim:   ... sim 16 of 20: MH iter 71 of 100,  200...
pluriGaussianSim:   ... sim 16 of 20: MH iter 72 of 100,  200...
pluriGaussianSim:   ... sim 16 of 20: MH iter 73 of 100,  200...
pluriGaussianSim:   ... sim 16 of 20: MH iter 74 of 100,  200...
pluriGaussianSim:   ... sim 16 of 20: MH iter 75 of 100,  200...
pluriGaussianSim:   ... sim 16 of 20: MH iter 76 of 100,  200...
pluriGaussianSim:   ... sim 16 of 20: MH iter 77 of 100,  200...
pluriGaussianSim:   ... sim 16 of 20: MH iter 78 of 100,  200...
pluriGaussianSim:   ... sim 16 of 20: MH iter 79 of 100,  200...
pluriGaussianSim:   ... sim 16 of 20: MH iter 80 of 100,  200...
pluriGaussianSim:   ... sim 16 of 20: MH iter 81 of 100,  200...
pluriGaussianSim:   ... sim 16 of 20: MH iter 82 of 100,  200...
pluriGaussianSim:   ... sim 16 of 20: MH iter 83 of 100,  200...
pluriGaussianSim:   ... sim 16 of 20: MH iter 84 of 100,  200...
pluriGaussianSim:   ... sim 16 of 20: MH iter 85 of 100,  200...
pluriGaussianSim:   ... sim 16 of 20: MH iter 86 of 100,  200...
pluriGaussianSim:   ... sim 16 of 20: MH iter 87 of 100,  200...
pluriGaussianSim:   ... sim 16 of 20: MH iter 88 of 100,  200...
pluriGaussianSim:   ... sim 16 of 20: MH iter 89 of 100,  200...
pluriGaussianSim:   ... sim 16 of 20: MH iter 90 of 100,  200...
pluriGaussianSim:   ... sim 16 of 20: MH iter 91 of 100,  200...
pluriGaussianSim:   ... sim 16 of 20: MH iter 92 of 100,  200...
pluriGaussianSim:   ... sim 16 of 20: MH iter 93 of 100,  200...
pluriGaussianSim:   ... sim 16 of 20: MH iter 94 of 100,  200...
pluriGaussianSim:   ... sim 16 of 20: MH iter 95 of 100,  200...
pluriGaussianSim:   ... sim 16 of 20: MH iter 96 of 100,  200...
pluriGaussianSim:   ... sim 16 of 20: MH iter 97 of 100,  200...
pluriGaussianSim:   ... sim 16 of 20: MH iter 98 of 100,  200...
pluriGaussianSim:   ... sim 16 of 20: MH iter 99 of 100,  200...
pluriGaussianSim:   ... sim 16 of 20: MH iter 100 of 100,  200...
pluriGaussianSim: simulation 17 of 20...
pluriGaussianSim:   ... sim 17 of 20: MH iter 1 of 100,  200...
pluriGaussianSim:   ... sim 17 of 20: MH iter 2 of 100,  200...
pluriGaussianSim:   ... sim 17 of 20: MH iter 3 of 100,  200...
pluriGaussianSim:   ... sim 17 of 20: MH iter 4 of 100,  200...
pluriGaussianSim:   ... sim 17 of 20: MH iter 5 of 100,  200...
pluriGaussianSim:   ... sim 17 of 20: MH iter 6 of 100,  200...
pluriGaussianSim:   ... sim 17 of 20: MH iter 7 of 100,  200...
pluriGaussianSim:   ... sim 17 of 20: MH iter 8 of 100,  200...
pluriGaussianSim:   ... sim 17 of 20: MH iter 9 of 100,  200...
pluriGaussianSim:   ... sim 17 of 20: MH iter 10 of 100,  200...
pluriGaussianSim:   ... sim 17 of 20: MH iter 11 of 100,  200...
pluriGaussianSim:   ... sim 17 of 20: MH iter 12 of 100,  200...
pluriGaussianSim:   ... sim 17 of 20: MH iter 13 of 100,  200...
pluriGaussianSim:   ... sim 17 of 20: MH iter 14 of 100,  200...
pluriGaussianSim:   ... sim 17 of 20: MH iter 15 of 100,  200...
pluriGaussianSim:   ... sim 17 of 20: MH iter 16 of 100,  200...
pluriGaussianSim:   ... sim 17 of 20: MH iter 17 of 100,  200...
pluriGaussianSim:   ... sim 17 of 20: MH iter 18 of 100,  200...
pluriGaussianSim:   ... sim 17 of 20: MH iter 19 of 100,  200...
pluriGaussianSim:   ... sim 17 of 20: MH iter 20 of 100,  200...
pluriGaussianSim:   ... sim 17 of 20: MH iter 21 of 100,  200...
pluriGaussianSim:   ... sim 17 of 20: MH iter 22 of 100,  200...
pluriGaussianSim:   ... sim 17 of 20: MH iter 23 of 100,  200...
pluriGaussianSim:   ... sim 17 of 20: MH iter 24 of 100,  200...
pluriGaussianSim:   ... sim 17 of 20: MH iter 25 of 100,  200...
pluriGaussianSim:   ... sim 17 of 20: MH iter 26 of 100,  200...
pluriGaussianSim:   ... sim 17 of 20: MH iter 27 of 100,  200...
pluriGaussianSim:   ... sim 17 of 20: MH iter 28 of 100,  200...
pluriGaussianSim:   ... sim 17 of 20: MH iter 29 of 100,  200...
pluriGaussianSim:   ... sim 17 of 20: MH iter 30 of 100,  200...
pluriGaussianSim:   ... sim 17 of 20: MH iter 31 of 100,  200...
pluriGaussianSim:   ... sim 17 of 20: MH iter 32 of 100,  200...
pluriGaussianSim:   ... sim 17 of 20: MH iter 33 of 100,  200...
pluriGaussianSim:   ... sim 17 of 20: MH iter 34 of 100,  200...
pluriGaussianSim:   ... sim 17 of 20: MH iter 35 of 100,  200...
pluriGaussianSim:   ... sim 17 of 20: MH iter 36 of 100,  200...
pluriGaussianSim:   ... sim 17 of 20: MH iter 37 of 100,  200...
pluriGaussianSim:   ... sim 17 of 20: MH iter 38 of 100,  200...
pluriGaussianSim:   ... sim 17 of 20: MH iter 39 of 100,  200...
pluriGaussianSim:   ... sim 17 of 20: MH iter 40 of 100,  200...
pluriGaussianSim:   ... sim 17 of 20: MH iter 41 of 100,  200...
pluriGaussianSim:   ... sim 17 of 20: MH iter 42 of 100,  200...
pluriGaussianSim:   ... sim 17 of 20: MH iter 43 of 100,  200...
pluriGaussianSim:   ... sim 17 of 20: MH iter 44 of 100,  200...
pluriGaussianSim:   ... sim 17 of 20: MH iter 45 of 100,  200...
pluriGaussianSim:   ... sim 17 of 20: MH iter 46 of 100,  200...
pluriGaussianSim:   ... sim 17 of 20: MH iter 47 of 100,  200...
pluriGaussianSim:   ... sim 17 of 20: MH iter 48 of 100,  200...
pluriGaussianSim:   ... sim 17 of 20: MH iter 49 of 100,  200...
pluriGaussianSim:   ... sim 17 of 20: MH iter 50 of 100,  200...
pluriGaussianSim:   ... sim 17 of 20: MH iter 51 of 100,  200...
pluriGaussianSim:   ... sim 17 of 20: MH iter 52 of 100,  200...
pluriGaussianSim:   ... sim 17 of 20: MH iter 53 of 100,  200...
pluriGaussianSim:   ... sim 17 of 20: MH iter 54 of 100,  200...
pluriGaussianSim:   ... sim 17 of 20: MH iter 55 of 100,  200...
pluriGaussianSim:   ... sim 17 of 20: MH iter 56 of 100,  200...
pluriGaussianSim:   ... sim 17 of 20: MH iter 57 of 100,  200...
pluriGaussianSim:   ... sim 17 of 20: MH iter 58 of 100,  200...
pluriGaussianSim:   ... sim 17 of 20: MH iter 59 of 100,  200...
pluriGaussianSim:   ... sim 17 of 20: MH iter 60 of 100,  200...
pluriGaussianSim:   ... sim 17 of 20: MH iter 61 of 100,  200...
pluriGaussianSim:   ... sim 17 of 20: MH iter 62 of 100,  200...
pluriGaussianSim:   ... sim 17 of 20: MH iter 63 of 100,  200...
pluriGaussianSim:   ... sim 17 of 20: MH iter 64 of 100,  200...
pluriGaussianSim:   ... sim 17 of 20: MH iter 65 of 100,  200...
pluriGaussianSim:   ... sim 17 of 20: MH iter 66 of 100,  200...
pluriGaussianSim:   ... sim 17 of 20: MH iter 67 of 100,  200...
pluriGaussianSim:   ... sim 17 of 20: MH iter 68 of 100,  200...
pluriGaussianSim:   ... sim 17 of 20: MH iter 69 of 100,  200...
pluriGaussianSim:   ... sim 17 of 20: MH iter 70 of 100,  200...
pluriGaussianSim:   ... sim 17 of 20: MH iter 71 of 100,  200...
pluriGaussianSim:   ... sim 17 of 20: MH iter 72 of 100,  200...
pluriGaussianSim:   ... sim 17 of 20: MH iter 73 of 100,  200...
pluriGaussianSim:   ... sim 17 of 20: MH iter 74 of 100,  200...
pluriGaussianSim:   ... sim 17 of 20: MH iter 75 of 100,  200...
pluriGaussianSim:   ... sim 17 of 20: MH iter 76 of 100,  200...
pluriGaussianSim:   ... sim 17 of 20: MH iter 77 of 100,  200...
pluriGaussianSim:   ... sim 17 of 20: MH iter 78 of 100,  200...
pluriGaussianSim:   ... sim 17 of 20: MH iter 79 of 100,  200...
pluriGaussianSim:   ... sim 17 of 20: MH iter 80 of 100,  200...
pluriGaussianSim:   ... sim 17 of 20: MH iter 81 of 100,  200...
pluriGaussianSim:   ... sim 17 of 20: MH iter 82 of 100,  200...
pluriGaussianSim:   ... sim 17 of 20: MH iter 83 of 100,  200...
pluriGaussianSim:   ... sim 17 of 20: MH iter 84 of 100,  200...
pluriGaussianSim:   ... sim 17 of 20: MH iter 85 of 100,  200...
pluriGaussianSim:   ... sim 17 of 20: MH iter 86 of 100,  200...
pluriGaussianSim:   ... sim 17 of 20: MH iter 87 of 100,  200...
pluriGaussianSim:   ... sim 17 of 20: MH iter 88 of 100,  200...
pluriGaussianSim:   ... sim 17 of 20: MH iter 89 of 100,  200...
pluriGaussianSim:   ... sim 17 of 20: MH iter 90 of 100,  200...
pluriGaussianSim:   ... sim 17 of 20: MH iter 91 of 100,  200...
pluriGaussianSim:   ... sim 17 of 20: MH iter 92 of 100,  200...
pluriGaussianSim:   ... sim 17 of 20: MH iter 93 of 100,  200...
pluriGaussianSim:   ... sim 17 of 20: MH iter 94 of 100,  200...
pluriGaussianSim:   ... sim 17 of 20: MH iter 95 of 100,  200...
pluriGaussianSim:   ... sim 17 of 20: MH iter 96 of 100,  200...
pluriGaussianSim:   ... sim 17 of 20: MH iter 97 of 100,  200...
pluriGaussianSim:   ... sim 17 of 20: MH iter 98 of 100,  200...
pluriGaussianSim:   ... sim 17 of 20: MH iter 99 of 100,  200...
pluriGaussianSim:   ... sim 17 of 20: MH iter 100 of 100,  200...
pluriGaussianSim: simulation 18 of 20...
pluriGaussianSim:   ... sim 18 of 20: MH iter 1 of 100,  200...
pluriGaussianSim:   ... sim 18 of 20: MH iter 2 of 100,  200...
pluriGaussianSim:   ... sim 18 of 20: MH iter 3 of 100,  200...
pluriGaussianSim:   ... sim 18 of 20: MH iter 4 of 100,  200...
pluriGaussianSim:   ... sim 18 of 20: MH iter 5 of 100,  200...
pluriGaussianSim:   ... sim 18 of 20: MH iter 6 of 100,  200...
pluriGaussianSim:   ... sim 18 of 20: MH iter 7 of 100,  200...
pluriGaussianSim:   ... sim 18 of 20: MH iter 8 of 100,  200...
pluriGaussianSim:   ... sim 18 of 20: MH iter 9 of 100,  200...
pluriGaussianSim:   ... sim 18 of 20: MH iter 10 of 100,  200...
pluriGaussianSim:   ... sim 18 of 20: MH iter 11 of 100,  200...
pluriGaussianSim:   ... sim 18 of 20: MH iter 12 of 100,  200...
pluriGaussianSim:   ... sim 18 of 20: MH iter 13 of 100,  200...
pluriGaussianSim:   ... sim 18 of 20: MH iter 14 of 100,  200...
pluriGaussianSim:   ... sim 18 of 20: MH iter 15 of 100,  200...
pluriGaussianSim:   ... sim 18 of 20: MH iter 16 of 100,  200...
pluriGaussianSim:   ... sim 18 of 20: MH iter 17 of 100,  200...
pluriGaussianSim:   ... sim 18 of 20: MH iter 18 of 100,  200...
pluriGaussianSim:   ... sim 18 of 20: MH iter 19 of 100,  200...
pluriGaussianSim:   ... sim 18 of 20: MH iter 20 of 100,  200...
pluriGaussianSim:   ... sim 18 of 20: MH iter 21 of 100,  200...
pluriGaussianSim:   ... sim 18 of 20: MH iter 22 of 100,  200...
pluriGaussianSim:   ... sim 18 of 20: MH iter 23 of 100,  200...
pluriGaussianSim:   ... sim 18 of 20: MH iter 24 of 100,  200...
pluriGaussianSim:   ... sim 18 of 20: MH iter 25 of 100,  200...
pluriGaussianSim:   ... sim 18 of 20: MH iter 26 of 100,  200...
pluriGaussianSim:   ... sim 18 of 20: MH iter 27 of 100,  200...
pluriGaussianSim:   ... sim 18 of 20: MH iter 28 of 100,  200...
pluriGaussianSim:   ... sim 18 of 20: MH iter 29 of 100,  200...
pluriGaussianSim:   ... sim 18 of 20: MH iter 30 of 100,  200...
pluriGaussianSim:   ... sim 18 of 20: MH iter 31 of 100,  200...
pluriGaussianSim:   ... sim 18 of 20: MH iter 32 of 100,  200...
pluriGaussianSim:   ... sim 18 of 20: MH iter 33 of 100,  200...
pluriGaussianSim:   ... sim 18 of 20: MH iter 34 of 100,  200...
pluriGaussianSim:   ... sim 18 of 20: MH iter 35 of 100,  200...
pluriGaussianSim:   ... sim 18 of 20: MH iter 36 of 100,  200...
pluriGaussianSim:   ... sim 18 of 20: MH iter 37 of 100,  200...
pluriGaussianSim:   ... sim 18 of 20: MH iter 38 of 100,  200...
pluriGaussianSim:   ... sim 18 of 20: MH iter 39 of 100,  200...
pluriGaussianSim:   ... sim 18 of 20: MH iter 40 of 100,  200...
pluriGaussianSim:   ... sim 18 of 20: MH iter 41 of 100,  200...
pluriGaussianSim:   ... sim 18 of 20: MH iter 42 of 100,  200...
pluriGaussianSim:   ... sim 18 of 20: MH iter 43 of 100,  200...
pluriGaussianSim:   ... sim 18 of 20: MH iter 44 of 100,  200...
pluriGaussianSim:   ... sim 18 of 20: MH iter 45 of 100,  200...
pluriGaussianSim:   ... sim 18 of 20: MH iter 46 of 100,  200...
pluriGaussianSim:   ... sim 18 of 20: MH iter 47 of 100,  200...
pluriGaussianSim:   ... sim 18 of 20: MH iter 48 of 100,  200...
pluriGaussianSim:   ... sim 18 of 20: MH iter 49 of 100,  200...
pluriGaussianSim:   ... sim 18 of 20: MH iter 50 of 100,  200...
pluriGaussianSim:   ... sim 18 of 20: MH iter 51 of 100,  200...
pluriGaussianSim:   ... sim 18 of 20: MH iter 52 of 100,  200...
pluriGaussianSim:   ... sim 18 of 20: MH iter 53 of 100,  200...
pluriGaussianSim:   ... sim 18 of 20: MH iter 54 of 100,  200...
pluriGaussianSim:   ... sim 18 of 20: MH iter 55 of 100,  200...
pluriGaussianSim:   ... sim 18 of 20: MH iter 56 of 100,  200...
pluriGaussianSim:   ... sim 18 of 20: MH iter 57 of 100,  200...
pluriGaussianSim:   ... sim 18 of 20: MH iter 58 of 100,  200...
pluriGaussianSim:   ... sim 18 of 20: MH iter 59 of 100,  200...
pluriGaussianSim:   ... sim 18 of 20: MH iter 60 of 100,  200...
pluriGaussianSim:   ... sim 18 of 20: MH iter 61 of 100,  200...
pluriGaussianSim:   ... sim 18 of 20: MH iter 62 of 100,  200...
pluriGaussianSim:   ... sim 18 of 20: MH iter 63 of 100,  200...
pluriGaussianSim:   ... sim 18 of 20: MH iter 64 of 100,  200...
pluriGaussianSim:   ... sim 18 of 20: MH iter 65 of 100,  200...
pluriGaussianSim:   ... sim 18 of 20: MH iter 66 of 100,  200...
pluriGaussianSim:   ... sim 18 of 20: MH iter 67 of 100,  200...
pluriGaussianSim:   ... sim 18 of 20: MH iter 68 of 100,  200...
pluriGaussianSim:   ... sim 18 of 20: MH iter 69 of 100,  200...
pluriGaussianSim:   ... sim 18 of 20: MH iter 70 of 100,  200...
pluriGaussianSim:   ... sim 18 of 20: MH iter 71 of 100,  200...
pluriGaussianSim:   ... sim 18 of 20: MH iter 72 of 100,  200...
pluriGaussianSim:   ... sim 18 of 20: MH iter 73 of 100,  200...
pluriGaussianSim:   ... sim 18 of 20: MH iter 74 of 100,  200...
pluriGaussianSim:   ... sim 18 of 20: MH iter 75 of 100,  200...
pluriGaussianSim:   ... sim 18 of 20: MH iter 76 of 100,  200...
pluriGaussianSim:   ... sim 18 of 20: MH iter 77 of 100,  200...
pluriGaussianSim:   ... sim 18 of 20: MH iter 78 of 100,  200...
pluriGaussianSim:   ... sim 18 of 20: MH iter 79 of 100,  200...
pluriGaussianSim:   ... sim 18 of 20: MH iter 80 of 100,  200...
pluriGaussianSim:   ... sim 18 of 20: MH iter 81 of 100,  200...
pluriGaussianSim:   ... sim 18 of 20: MH iter 82 of 100,  200...
pluriGaussianSim:   ... sim 18 of 20: MH iter 83 of 100,  200...
pluriGaussianSim:   ... sim 18 of 20: MH iter 84 of 100,  200...
pluriGaussianSim:   ... sim 18 of 20: MH iter 85 of 100,  200...
pluriGaussianSim:   ... sim 18 of 20: MH iter 86 of 100,  200...
pluriGaussianSim:   ... sim 18 of 20: MH iter 87 of 100,  200...
pluriGaussianSim:   ... sim 18 of 20: MH iter 88 of 100,  200...
pluriGaussianSim:   ... sim 18 of 20: MH iter 89 of 100,  200...
pluriGaussianSim:   ... sim 18 of 20: MH iter 90 of 100,  200...
pluriGaussianSim:   ... sim 18 of 20: MH iter 91 of 100,  200...
pluriGaussianSim:   ... sim 18 of 20: MH iter 92 of 100,  200...
pluriGaussianSim:   ... sim 18 of 20: MH iter 93 of 100,  200...
pluriGaussianSim:   ... sim 18 of 20: MH iter 94 of 100,  200...
pluriGaussianSim:   ... sim 18 of 20: MH iter 95 of 100,  200...
pluriGaussianSim:   ... sim 18 of 20: MH iter 96 of 100,  200...
pluriGaussianSim:   ... sim 18 of 20: MH iter 97 of 100,  200...
pluriGaussianSim:   ... sim 18 of 20: MH iter 98 of 100,  200...
pluriGaussianSim:   ... sim 18 of 20: MH iter 99 of 100,  200...
pluriGaussianSim:   ... sim 18 of 20: MH iter 100 of 100,  200...
pluriGaussianSim:   ... sim 18 of 20: MH iter 101 of 100,  200...
pluriGaussianSim:   ... sim 18 of 20: MH iter 102 of 100,  200...
pluriGaussianSim:   ... sim 18 of 20: MH iter 103 of 100,  200...
pluriGaussianSim:   ... sim 18 of 20: MH iter 104 of 100,  200...
pluriGaussianSim:   ... sim 18 of 20: MH iter 105 of 100,  200...
pluriGaussianSim: simulation 19 of 20...
pluriGaussianSim:   ... sim 19 of 20: MH iter 1 of 100,  200...
pluriGaussianSim:   ... sim 19 of 20: MH iter 2 of 100,  200...
pluriGaussianSim:   ... sim 19 of 20: MH iter 3 of 100,  200...
pluriGaussianSim:   ... sim 19 of 20: MH iter 4 of 100,  200...
pluriGaussianSim:   ... sim 19 of 20: MH iter 5 of 100,  200...
pluriGaussianSim:   ... sim 19 of 20: MH iter 6 of 100,  200...
pluriGaussianSim:   ... sim 19 of 20: MH iter 7 of 100,  200...
pluriGaussianSim:   ... sim 19 of 20: MH iter 8 of 100,  200...
pluriGaussianSim:   ... sim 19 of 20: MH iter 9 of 100,  200...
pluriGaussianSim:   ... sim 19 of 20: MH iter 10 of 100,  200...
pluriGaussianSim:   ... sim 19 of 20: MH iter 11 of 100,  200...
pluriGaussianSim:   ... sim 19 of 20: MH iter 12 of 100,  200...
pluriGaussianSim:   ... sim 19 of 20: MH iter 13 of 100,  200...
pluriGaussianSim:   ... sim 19 of 20: MH iter 14 of 100,  200...
pluriGaussianSim:   ... sim 19 of 20: MH iter 15 of 100,  200...
pluriGaussianSim:   ... sim 19 of 20: MH iter 16 of 100,  200...
pluriGaussianSim:   ... sim 19 of 20: MH iter 17 of 100,  200...
pluriGaussianSim:   ... sim 19 of 20: MH iter 18 of 100,  200...
pluriGaussianSim:   ... sim 19 of 20: MH iter 19 of 100,  200...
pluriGaussianSim:   ... sim 19 of 20: MH iter 20 of 100,  200...
pluriGaussianSim:   ... sim 19 of 20: MH iter 21 of 100,  200...
pluriGaussianSim:   ... sim 19 of 20: MH iter 22 of 100,  200...
pluriGaussianSim:   ... sim 19 of 20: MH iter 23 of 100,  200...
pluriGaussianSim:   ... sim 19 of 20: MH iter 24 of 100,  200...
pluriGaussianSim:   ... sim 19 of 20: MH iter 25 of 100,  200...
pluriGaussianSim:   ... sim 19 of 20: MH iter 26 of 100,  200...
pluriGaussianSim:   ... sim 19 of 20: MH iter 27 of 100,  200...
pluriGaussianSim:   ... sim 19 of 20: MH iter 28 of 100,  200...
pluriGaussianSim:   ... sim 19 of 20: MH iter 29 of 100,  200...
pluriGaussianSim:   ... sim 19 of 20: MH iter 30 of 100,  200...
pluriGaussianSim:   ... sim 19 of 20: MH iter 31 of 100,  200...
pluriGaussianSim:   ... sim 19 of 20: MH iter 32 of 100,  200...
pluriGaussianSim:   ... sim 19 of 20: MH iter 33 of 100,  200...
pluriGaussianSim:   ... sim 19 of 20: MH iter 34 of 100,  200...
pluriGaussianSim:   ... sim 19 of 20: MH iter 35 of 100,  200...
pluriGaussianSim:   ... sim 19 of 20: MH iter 36 of 100,  200...
pluriGaussianSim:   ... sim 19 of 20: MH iter 37 of 100,  200...
pluriGaussianSim:   ... sim 19 of 20: MH iter 38 of 100,  200...
pluriGaussianSim:   ... sim 19 of 20: MH iter 39 of 100,  200...
pluriGaussianSim:   ... sim 19 of 20: MH iter 40 of 100,  200...
pluriGaussianSim:   ... sim 19 of 20: MH iter 41 of 100,  200...
pluriGaussianSim:   ... sim 19 of 20: MH iter 42 of 100,  200...
pluriGaussianSim:   ... sim 19 of 20: MH iter 43 of 100,  200...
pluriGaussianSim:   ... sim 19 of 20: MH iter 44 of 100,  200...
pluriGaussianSim:   ... sim 19 of 20: MH iter 45 of 100,  200...
pluriGaussianSim:   ... sim 19 of 20: MH iter 46 of 100,  200...
pluriGaussianSim:   ... sim 19 of 20: MH iter 47 of 100,  200...
pluriGaussianSim:   ... sim 19 of 20: MH iter 48 of 100,  200...
pluriGaussianSim:   ... sim 19 of 20: MH iter 49 of 100,  200...
pluriGaussianSim:   ... sim 19 of 20: MH iter 50 of 100,  200...
pluriGaussianSim:   ... sim 19 of 20: MH iter 51 of 100,  200...
pluriGaussianSim:   ... sim 19 of 20: MH iter 52 of 100,  200...
pluriGaussianSim:   ... sim 19 of 20: MH iter 53 of 100,  200...
pluriGaussianSim:   ... sim 19 of 20: MH iter 54 of 100,  200...
pluriGaussianSim:   ... sim 19 of 20: MH iter 55 of 100,  200...
pluriGaussianSim:   ... sim 19 of 20: MH iter 56 of 100,  200...
pluriGaussianSim:   ... sim 19 of 20: MH iter 57 of 100,  200...
pluriGaussianSim:   ... sim 19 of 20: MH iter 58 of 100,  200...
pluriGaussianSim:   ... sim 19 of 20: MH iter 59 of 100,  200...
pluriGaussianSim:   ... sim 19 of 20: MH iter 60 of 100,  200...
pluriGaussianSim:   ... sim 19 of 20: MH iter 61 of 100,  200...
pluriGaussianSim:   ... sim 19 of 20: MH iter 62 of 100,  200...
pluriGaussianSim:   ... sim 19 of 20: MH iter 63 of 100,  200...
pluriGaussianSim:   ... sim 19 of 20: MH iter 64 of 100,  200...
pluriGaussianSim:   ... sim 19 of 20: MH iter 65 of 100,  200...
pluriGaussianSim:   ... sim 19 of 20: MH iter 66 of 100,  200...
pluriGaussianSim:   ... sim 19 of 20: MH iter 67 of 100,  200...
pluriGaussianSim:   ... sim 19 of 20: MH iter 68 of 100,  200...
pluriGaussianSim:   ... sim 19 of 20: MH iter 69 of 100,  200...
pluriGaussianSim:   ... sim 19 of 20: MH iter 70 of 100,  200...
pluriGaussianSim:   ... sim 19 of 20: MH iter 71 of 100,  200...
pluriGaussianSim:   ... sim 19 of 20: MH iter 72 of 100,  200...
pluriGaussianSim:   ... sim 19 of 20: MH iter 73 of 100,  200...
pluriGaussianSim:   ... sim 19 of 20: MH iter 74 of 100,  200...
pluriGaussianSim:   ... sim 19 of 20: MH iter 75 of 100,  200...
pluriGaussianSim:   ... sim 19 of 20: MH iter 76 of 100,  200...
pluriGaussianSim:   ... sim 19 of 20: MH iter 77 of 100,  200...
pluriGaussianSim:   ... sim 19 of 20: MH iter 78 of 100,  200...
pluriGaussianSim:   ... sim 19 of 20: MH iter 79 of 100,  200...
pluriGaussianSim:   ... sim 19 of 20: MH iter 80 of 100,  200...
pluriGaussianSim:   ... sim 19 of 20: MH iter 81 of 100,  200...
pluriGaussianSim:   ... sim 19 of 20: MH iter 82 of 100,  200...
pluriGaussianSim:   ... sim 19 of 20: MH iter 83 of 100,  200...
pluriGaussianSim:   ... sim 19 of 20: MH iter 84 of 100,  200...
pluriGaussianSim:   ... sim 19 of 20: MH iter 85 of 100,  200...
pluriGaussianSim:   ... sim 19 of 20: MH iter 86 of 100,  200...
pluriGaussianSim:   ... sim 19 of 20: MH iter 87 of 100,  200...
pluriGaussianSim:   ... sim 19 of 20: MH iter 88 of 100,  200...
pluriGaussianSim:   ... sim 19 of 20: MH iter 89 of 100,  200...
pluriGaussianSim:   ... sim 19 of 20: MH iter 90 of 100,  200...
pluriGaussianSim:   ... sim 19 of 20: MH iter 91 of 100,  200...
pluriGaussianSim:   ... sim 19 of 20: MH iter 92 of 100,  200...
pluriGaussianSim:   ... sim 19 of 20: MH iter 93 of 100,  200...
pluriGaussianSim:   ... sim 19 of 20: MH iter 94 of 100,  200...
pluriGaussianSim:   ... sim 19 of 20: MH iter 95 of 100,  200...
pluriGaussianSim:   ... sim 19 of 20: MH iter 96 of 100,  200...
pluriGaussianSim:   ... sim 19 of 20: MH iter 97 of 100,  200...
pluriGaussianSim:   ... sim 19 of 20: MH iter 98 of 100,  200...
pluriGaussianSim:   ... sim 19 of 20: MH iter 99 of 100,  200...
pluriGaussianSim:   ... sim 19 of 20: MH iter 100 of 100,  200...
pluriGaussianSim: simulation 20 of 20...
pluriGaussianSim:   ... sim 20 of 20: MH iter 1 of 100,  200...
pluriGaussianSim:   ... sim 20 of 20: MH iter 2 of 100,  200...
pluriGaussianSim:   ... sim 20 of 20: MH iter 3 of 100,  200...
pluriGaussianSim:   ... sim 20 of 20: MH iter 4 of 100,  200...
pluriGaussianSim:   ... sim 20 of 20: MH iter 5 of 100,  200...
pluriGaussianSim:   ... sim 20 of 20: MH iter 6 of 100,  200...
pluriGaussianSim:   ... sim 20 of 20: MH iter 7 of 100,  200...
pluriGaussianSim:   ... sim 20 of 20: MH iter 8 of 100,  200...
pluriGaussianSim:   ... sim 20 of 20: MH iter 9 of 100,  200...
pluriGaussianSim:   ... sim 20 of 20: MH iter 10 of 100,  200...
pluriGaussianSim:   ... sim 20 of 20: MH iter 11 of 100,  200...
pluriGaussianSim:   ... sim 20 of 20: MH iter 12 of 100,  200...
pluriGaussianSim:   ... sim 20 of 20: MH iter 13 of 100,  200...
pluriGaussianSim:   ... sim 20 of 20: MH iter 14 of 100,  200...
pluriGaussianSim:   ... sim 20 of 20: MH iter 15 of 100,  200...
pluriGaussianSim:   ... sim 20 of 20: MH iter 16 of 100,  200...
pluriGaussianSim:   ... sim 20 of 20: MH iter 17 of 100,  200...
pluriGaussianSim:   ... sim 20 of 20: MH iter 18 of 100,  200...
pluriGaussianSim:   ... sim 20 of 20: MH iter 19 of 100,  200...
pluriGaussianSim:   ... sim 20 of 20: MH iter 20 of 100,  200...
pluriGaussianSim:   ... sim 20 of 20: MH iter 21 of 100,  200...
pluriGaussianSim:   ... sim 20 of 20: MH iter 22 of 100,  200...
pluriGaussianSim:   ... sim 20 of 20: MH iter 23 of 100,  200...
pluriGaussianSim:   ... sim 20 of 20: MH iter 24 of 100,  200...
pluriGaussianSim:   ... sim 20 of 20: MH iter 25 of 100,  200...
pluriGaussianSim:   ... sim 20 of 20: MH iter 26 of 100,  200...
pluriGaussianSim:   ... sim 20 of 20: MH iter 27 of 100,  200...
pluriGaussianSim:   ... sim 20 of 20: MH iter 28 of 100,  200...
pluriGaussianSim:   ... sim 20 of 20: MH iter 29 of 100,  200...
pluriGaussianSim:   ... sim 20 of 20: MH iter 30 of 100,  200...
pluriGaussianSim:   ... sim 20 of 20: MH iter 31 of 100,  200...
pluriGaussianSim:   ... sim 20 of 20: MH iter 32 of 100,  200...
pluriGaussianSim:   ... sim 20 of 20: MH iter 33 of 100,  200...
pluriGaussianSim:   ... sim 20 of 20: MH iter 34 of 100,  200...
pluriGaussianSim:   ... sim 20 of 20: MH iter 35 of 100,  200...
pluriGaussianSim:   ... sim 20 of 20: MH iter 36 of 100,  200...
pluriGaussianSim:   ... sim 20 of 20: MH iter 37 of 100,  200...
pluriGaussianSim:   ... sim 20 of 20: MH iter 38 of 100,  200...
pluriGaussianSim:   ... sim 20 of 20: MH iter 39 of 100,  200...
pluriGaussianSim:   ... sim 20 of 20: MH iter 40 of 100,  200...
pluriGaussianSim:   ... sim 20 of 20: MH iter 41 of 100,  200...
pluriGaussianSim:   ... sim 20 of 20: MH iter 42 of 100,  200...
pluriGaussianSim:   ... sim 20 of 20: MH iter 43 of 100,  200...
pluriGaussianSim:   ... sim 20 of 20: MH iter 44 of 100,  200...
pluriGaussianSim:   ... sim 20 of 20: MH iter 45 of 100,  200...
pluriGaussianSim:   ... sim 20 of 20: MH iter 46 of 100,  200...
pluriGaussianSim:   ... sim 20 of 20: MH iter 47 of 100,  200...
pluriGaussianSim:   ... sim 20 of 20: MH iter 48 of 100,  200...
pluriGaussianSim:   ... sim 20 of 20: MH iter 49 of 100,  200...
pluriGaussianSim:   ... sim 20 of 20: MH iter 50 of 100,  200...
pluriGaussianSim:   ... sim 20 of 20: MH iter 51 of 100,  200...
pluriGaussianSim:   ... sim 20 of 20: MH iter 52 of 100,  200...
pluriGaussianSim:   ... sim 20 of 20: MH iter 53 of 100,  200...
pluriGaussianSim:   ... sim 20 of 20: MH iter 54 of 100,  200...
pluriGaussianSim:   ... sim 20 of 20: MH iter 55 of 100,  200...
pluriGaussianSim:   ... sim 20 of 20: MH iter 56 of 100,  200...
pluriGaussianSim:   ... sim 20 of 20: MH iter 57 of 100,  200...
pluriGaussianSim:   ... sim 20 of 20: MH iter 58 of 100,  200...
pluriGaussianSim:   ... sim 20 of 20: MH iter 59 of 100,  200...
pluriGaussianSim:   ... sim 20 of 20: MH iter 60 of 100,  200...
pluriGaussianSim:   ... sim 20 of 20: MH iter 61 of 100,  200...
pluriGaussianSim:   ... sim 20 of 20: MH iter 62 of 100,  200...
pluriGaussianSim:   ... sim 20 of 20: MH iter 63 of 100,  200...
pluriGaussianSim:   ... sim 20 of 20: MH iter 64 of 100,  200...
pluriGaussianSim:   ... sim 20 of 20: MH iter 65 of 100,  200...
pluriGaussianSim:   ... sim 20 of 20: MH iter 66 of 100,  200...
pluriGaussianSim:   ... sim 20 of 20: MH iter 67 of 100,  200...
pluriGaussianSim:   ... sim 20 of 20: MH iter 68 of 100,  200...
pluriGaussianSim:   ... sim 20 of 20: MH iter 69 of 100,  200...
pluriGaussianSim:   ... sim 20 of 20: MH iter 70 of 100,  200...
pluriGaussianSim:   ... sim 20 of 20: MH iter 71 of 100,  200...
pluriGaussianSim:   ... sim 20 of 20: MH iter 72 of 100,  200...
pluriGaussianSim:   ... sim 20 of 20: MH iter 73 of 100,  200...
pluriGaussianSim:   ... sim 20 of 20: MH iter 74 of 100,  200...
pluriGaussianSim:   ... sim 20 of 20: MH iter 75 of 100,  200...
pluriGaussianSim:   ... sim 20 of 20: MH iter 76 of 100,  200...
pluriGaussianSim:   ... sim 20 of 20: MH iter 77 of 100,  200...
pluriGaussianSim:   ... sim 20 of 20: MH iter 78 of 100,  200...
pluriGaussianSim:   ... sim 20 of 20: MH iter 79 of 100,  200...
pluriGaussianSim:   ... sim 20 of 20: MH iter 80 of 100,  200...
pluriGaussianSim:   ... sim 20 of 20: MH iter 81 of 100,  200...
pluriGaussianSim:   ... sim 20 of 20: MH iter 82 of 100,  200...
pluriGaussianSim:   ... sim 20 of 20: MH iter 83 of 100,  200...
pluriGaussianSim:   ... sim 20 of 20: MH iter 84 of 100,  200...
pluriGaussianSim:   ... sim 20 of 20: MH iter 85 of 100,  200...
pluriGaussianSim:   ... sim 20 of 20: MH iter 86 of 100,  200...
pluriGaussianSim:   ... sim 20 of 20: MH iter 87 of 100,  200...
pluriGaussianSim:   ... sim 20 of 20: MH iter 88 of 100,  200...
pluriGaussianSim:   ... sim 20 of 20: MH iter 89 of 100,  200...
pluriGaussianSim:   ... sim 20 of 20: MH iter 90 of 100,  200...
pluriGaussianSim:   ... sim 20 of 20: MH iter 91 of 100,  200...
pluriGaussianSim:   ... sim 20 of 20: MH iter 92 of 100,  200...
pluriGaussianSim:   ... sim 20 of 20: MH iter 93 of 100,  200...
pluriGaussianSim:   ... sim 20 of 20: MH iter 94 of 100,  200...
pluriGaussianSim:   ... sim 20 of 20: MH iter 95 of 100,  200...
pluriGaussianSim:   ... sim 20 of 20: MH iter 96 of 100,  200...
pluriGaussianSim:   ... sim 20 of 20: MH iter 97 of 100,  200...
pluriGaussianSim:   ... sim 20 of 20: MH iter 98 of 100,  200...
pluriGaussianSim:   ... sim 20 of 20: MH iter 99 of 100,  200...
pluriGaussianSim:   ... sim 20 of 20: MH iter 100 of 100,  200...
Elapsed time: 68 sec
Number of realizations generated: 20
Conditioning data honoured ? True

[25]:

# Statistics (proportion map)
# ---------------------------
im_Z_stats = gn.img.imageCategProp(im_Z, categVal)

prop_col = categCol # colors for the proportion maps
cmap = [gn.customcolors.custom_cmap(['white', c]) for c in prop_col]

# Plot proportion maps
# --------------------
# Plot "interactive in pop-up window" or "inline" (comment the undesired one) ...
# ... interactive (after closing the pop-up window, the position of the camera is retrieved in output)
#pp = pv.Plotter(shape=(2,2), window_size=(1024, 512), notebook=False)
# ... inline
pp = pv.Plotter(shape=(2,2), window_size=(1024, 1024))

if x is not None:
    # data points to be added to 3D plot
    data_points = pv.PolyData(x)
    # ... set color for data points according to their value
    data_points_col = [matplotlib.colors.to_rgb(
        categCol[np.where(np.asarray(categVal) == i)[0][0]]) for i in v]
        # color for data points according to their value
    # or:
    #data_points_col = gn.imgplot.get_colors_from_values(v.astype(float), categ=True, categVal=categVal, categCol=categCol)

    data_points['colors'] = data_points_col

for j in range(4):
    pp.subplot(j//2, j%2)
    gn.imgplot3d.drawImage3D_slice(
        im_Z_stats, iv=j,
        plotter=pp,
        slice_normal_x=im_Z.ox+0.5*im_Z.nx*im_Z.sx,
        slice_normal_y=im_Z.oy+0.5*im_Z.ny*im_Z.sy,
        slice_normal_z=im_Z.oz+0.5*im_Z.nz*im_Z.sz,
        cmap=cmap[j],
        text=f'proportion map ({im_Z.nv} real.), facies {categVal[j]}',
        scalar_bar_kwargs={'title':j*' ', 'title_font_size':20, 'vertical':True})
    if x is not None:
        pp.add_mesh(data_points, rgb=True, point_size=12., render_points_as_spheres=True)

pp.link_views()

pp.show(cpos=(360, 265, 110)) # position of the camera can be specified
../_images/notebooks_ex_pgs_32_0.png