A measure of spatial stratified heterogeneity

By Jinfeng Wang, Tonglin Zhang, Bojie Fu. 2016

1,720 citations recorded by the source corpus.

Abstract Spatial stratified heterogeneity, referring to the within-strata variance less than the between strata-variance, is ubiquitous in ecological phenomena, such as ecological zones and many ecological variables. Spatial stratified heterogeneity reflects the essence of nature, implies potential distinct mechanisms by strata, suggests possible determinants of the observed process, allows the representativeness of observations of the earth, and enforces the applicability of statistical inferences. In this paper, we propose a q -statistic method to measure the degree of spatial stratified heterogeneity and to test its significance. The q value is within [0,1] (0 if a spatial stratification of heterogeneity is not significant, and 1 if there is a perfect spatial stratification of heterogeneity). The exact probability density function is derived. The q -statistic is illustrated by two examples, wherein we assess the spatial stratified heterogeneities of a hand map and the distribution of the annual NDVI in China.

Subfields: Economics and Econometrics, Environmental Engineering

View Paper: https://www.semanticscholar.org/paper/1aa3792ad3e8880058ff05722d1ceb3490d3cce0

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Economics and Econometrics

1. Jan Hauke
2. Tomasz Kossowski

In Environmental Engineering

1. Chengdong Xu
2. Jinfeng Wang
3. Maogui Hu
4. Robert Haining
5. Jan Hauke
6. Tomasz Kossowski

Citations in the corpus

• Statistical Modeling of Spatially Stratified Heterogeneous Data (2022, methodology): “It follows that the q -statistic has a noncentral F distribution given X (J. F. Wang, Zhang, and Fu 2016), whereas ICC follows the standard central F distribution (Snijders and Bosker 2011, 46).”
• Measuring urban sprawl and exploring the role planning plays: A shanghai case study (2017, neutral): “The principle of Geo-Detector is based on spatial heterogeneity, which refers to uneven distribution of traits, events, their relationship across a region or simply, spatial variation of attributes (Wang et al., 2016).”