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- W40227908 abstract "This paper discusses a recent theoretical model based on a symmetry postulate regarding the serial correlation of sampling units in 1D. The simple postulate leads to analytical expressions with rich theoretical and practical implications, including a spatial correlation function which explains power law relationships often observed in studies of dispersion variances, and which can be related to both the power model variogram used in geostatistical studies and to the fractal dimension used to describe many self-similar processes. From a practical point of view, several case study examples show that the new correlation function does an excellent job of fitting experimental variograms from a variety of mining, environmental, and forestry applications. An additional feature of practical value is that the function has the same form in both ergodic and non-ergodic applications, with only a change in sign of a single scale parameter distinguishing ergodicity from non-ergodicity. This flexibility is important in problems where the available samples cannot be viewed as points within an infinite and unbounded domain. A qualitative interpretation of the new model is developed and supported with case study examples. An extension to irregularly sampled 2D and 3D cases is developed and demonstrated through simulation-based examples." @default.
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- W40227908 date "1994-01-01" @default.
- W40227908 modified "2023-09-27" @default.
- W40227908 title "A Fractal Correlation Function for Sampling Problems" @default.
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- W40227908 doi "https://doi.org/10.1007/978-94-011-0824-9_18" @default.
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