Geostatistical Simulation: Models and Algorithms

By C. Lantuéjoul. 2001

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COMPUTATION OF THE PERIMETER OF MEASURABLE SETS VIA THEIR COVARIOGRAM. APPLICATIONS TO RANDOM SETS (2011, background): “, 1995; Schneider and Weil, 2008), the shot noise model (Rice, 1977; Heinrich and Schmidt, 1985), or the dead leaves model (Matheron, 1968; Jeulin, 1997; Lantuéjoul, 2002; Bordenave et al., 2006).”
Space‐time simulation of intermittent rainfall with prescribed advection field: Adaptation of the turning band method (2013, methodology): “…between the variogram YI of the underlying Gaussian field and the variogram I of the binary field got after thresholding is as follows [Lantu ejoul, 2002, p. 207]: I hð Þ ¼ 1 Zarcsin ffiffiffiffiffiffiffi YI hð Þ 2 q t¼0 exp 2 2 1þ tan2 dt: (25) [42] This one-to-one mapping between the…”
Random Fields Simplified: Preserving Marginal Distributions, Correlations, and Intermittency, With Applications From Rainfall to Humidity (2020, methodology): “Although a variety of simulation algorithms are available in the literature (see Christakos, 2005; Lantuejoul, 2002; Schlather, 2012, for a review), most of them are devised for random processes with Gaussian marginal or joint distribution and enable only simulation of spatially correlated but…”
Geneland: a computer package for landscape genetics (2005, methodology): “The populations are assumed to be spatially organized through the so-called colored Poisson-Voronoi tessellation (Lantuéjoul 2002).”