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Testing the correctness of the sequential algorithm for simulating Gaussian random fields
| Content Provider | Semantic Scholar |
|---|---|
| Author | Xavier |
| Copyright Year | 2004 |
| Abstract | The sequential algorithm is widely used to simulate Gaussian random fields. However, a rigorous application of this algorithm is impractical and some simplifications are required, in particular a moving neighborhood has to be defined. To examine the effect of such restriction on the quality of the realizations, a reference case is presented and several parameters are reviewed, mainly the histogram, variogram, indicator variograms, as well as the ergodic fluctuations in the first and second-order statistics. The study concludes that, even in a favorable case where the simulated domain is large with respect to the range of the model, the realizations may poorly reproduce the second-order statistics and be inconsistent with the stationarity and ergodicity assumptions. Practical tips such as the ‘multiple-grid strategy’ do not overcome these impediments. Finally, extending the original algorithm by using an ordinary kriging should be avoided, unless an intrinsic random function model is sought after. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://repositorio.uchile.cl/bitstream/handle/2250/124515/Emery%20X-Testing.pdf?sequence=1 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
