SPATIAL DEPENDENCE INDEX FOR CUBIC, PENTASPHERICAL AND WAVE SEMIVARIOGRAM MODELS

Author:

Appel Neto Edemar1ORCID,Barbosa Ismael Canabarro2,Seidel Enio Júnior2ORCID,Oliveira Marcelo Silva de1

Affiliation:

1. Universidade Federal de Lavras, Brazil

2. Universidade Federal de Santa Maria, Brazil

Abstract

Abstract: This study aims to propose a spatial dependence index (and its classification), from the concept of spatial correlation areas, for the Cubic, Pentaspherical and Wave models. The index, called Spatial Dependence Index (SDI), covers the following parameters: the range (a), the nugget effect (C 0 ) and the contribution (C 1 ), beyond considering the maximum distance (MD) between sampled points and the model factor (MF). The proposed index, unlike the most used in the literature, considers the influence of the range parameter to describe the spatial dependence, highlighting the importance of this formulation. The spatial dependence classification, based on the observed asymmetric behavior in the SDI, was performed considering categorizations from the median and the 3rd quartile of the index. We obtain the spatial dependence classification in terms of weak, moderate, and strong, just as it is usually described in literature.

Publisher

FapUNIFESP (SciELO)

Subject

General Earth and Planetary Sciences

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