Convergence of realization-based statistics to model-based statistics for the LU unconditional simulation algorithm: some numerical tests |
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| Authors: | S De Iaco M Palma |
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| Institution: | (1) Universitá degli Studi di Lecce; Facoltá di Economia; Dipartimento di Scienze Economiche e Matematico-Statistiche; Complesso Ecotekne, Via per Monteroni, 73100 Lecce, Italy e-mail: sdeiaco@tiscalinet.it e-mail: palma_m@libero.it, IT |
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| Abstract: | In geostatistics, stochastic simulation is often used either as an improved interpolation algorithm or as a measure of the
spatial uncertainty. Hence, it is crucial to assess how fast realization-based statistics converge towards model-based statistics
(i.e. histogram, variogram) since in theory such a match is guaranteed only on average over a number of realizations. This
can be strongly affected by the random number generator being used. Moreover, the usual assumption of independence among simulated
realizations of a random process may be affected by the random number generator used. Simulation results, obtained by using
three different random number generators implemented in Geostatistical Software Library (GSLib), are compared. Some practical
aspects are pointed out and some suggestions are given to users of the unconditional LU simulation method. |
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| Keywords: | : Stochastic simulation LU method RNGs |
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