Page 305 - Modern Spatiotemporal Geostatistics

286 Modern Spatiotemporal Geostatistics
L multipoint BME analysis 89, 165, 175,
Lagrange multipliers 106 217
latitude (equatorial angle) 38 multipoint BME confidence set 177
law (consistently observed relation) 74 multipoint BMEmode estimate 219
law, local (phenomenological) 74 multipoint case 120
law of diminishing returns 15 multipoint mapping 22, 121
least squares 17 multivariable (vector) BME analysis 170
legal system 16 multivariable (vector) mapping 165
linear structure (of classical geostatis- N
tics) 122 negation 98
Lobachevski 29 nesting 232
local coordinate system 35 Newtonian space/time 43
local (phenomenological) law 74 New York City, New York
locally predictive 88 City-Philadelphia 7, 167
log-conductivity 79 nominal (categorical) data 83
logical map conditionals 98, 100 non-Cartesian coordinates 19
lognormal BME (LBME) 244 non-Euclidean:
lognormal simple kriging (LSK) 244 - coordinate system 35, 38
longitude (meridian angle) 38 - distance 64
loss function 148 - geometry 29-3 1
LU decomposition 152 - metrics 19
lumped parameter Earth system 79 non-Gaussian: 22, 231
M - laws 22, 250
malaria 10 - perturbation 214, 216
manifold (natural extension of - posterior pdf 221
Euclidean space) 41 - S/TRF231.250
map/mapping concept 1 nonhomogeneous/nonstationary: 225,
mapping accuracy 149, 151, 153, 164 244, 252
map truth tables 99 - covariance 228
material conditionals 59, 86, 98-9 - random field 224
mean 75
mean hydraulic gradient 79 noninformative prior (pdf) 105
mechanistic realism 17 nonlinear estimator 22
nonlinear system 225
median 97 non-Procrustean spirit 21
median estimate 136 non-rectangular coordinate system 35
medical sciences 8
meta-prior stage 91, 94, 119, 143 nonseparable covariance (fractal-
metric tensor 47 related) 227
metrical structure 42 nonseparable covariance model 224-25,
"Mexican hat" wavelet 259 227-28
Meyer wavelet 259 non-truth-functional conditionals 98
Mill, John Stuart 272 North Carolina 187-88, 192-93, 203-04
mineral deposit model 263 nuclear engineering 8
minimum mean squared error nuclear waste 8
(MMSE) 151,230-32,249 O
Minkowski metric 52, 56 obscurantism 21
mode 97 observation effect 254
modern geostatistics paradigm 195 Odysseus, "Reason of" 195-96
modern spatiotemporal geostatistics 11, oil industry 8
13,25,265 one-dimensional wavelet 258
molecular biology 118 ontological: 13
molecular physics 12 - component 197

Monte Carlo method 210, 214, 267 - leve l 1 1
Morlet wavelet 259 operational importance of £ 31
mortality data 187 optimal decision 174
mother space/time wavelet 254, 257 ordinary covariance 61, 75
multi-FRF model 257 ordinary kriging (OK) 234-35
multi-Gaussian kriging 133-34, 174, 249 ore mining 166
multiple-point statistics 75, 107, 108, orthogonal curvilinear coordinate
170, 23 3 system 34, 48