1989
DOI: 10.2307/2532039
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Assessing the Significance of the Correlation between Two Spatial Processes

Abstract: Modified tests of association based on the correlation coefficient or the covariance between two spatially autocorrelated processes are presented. These tests can be used both for lattice and nonlattice data. They are based on the evaluation of an effective sample size that takes into account the spatial structure. For positively autocorrelated processes, the effective sample size is reduced. A method for evaluating this reduction via an approximation of the variance of the correlation coefficient is developed… Show more

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Cited by 520 publications
(453 citation statements)
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“…This relationship is, however, not significant when corrected for spatial autocorrelation (Spearman rho ¼ 0.64, ess ¼ 5.78, ns; ess -'effective sample size', when redundancy produced by spatial autocorrelation is removed using the modified correlation test of Clifford et al (1989)). The relationship becomes stronger when only negative values of the first axis are taken into account (Spearman rho ¼ 0.71, ess ¼ 6.64, p < 0.05), because variance spreads for positive values along PCA axis 1.…”
Section: Species Diversity As Surrogate For Environmental Diversitymentioning
confidence: 93%
“…This relationship is, however, not significant when corrected for spatial autocorrelation (Spearman rho ¼ 0.64, ess ¼ 5.78, ns; ess -'effective sample size', when redundancy produced by spatial autocorrelation is removed using the modified correlation test of Clifford et al (1989)). The relationship becomes stronger when only negative values of the first axis are taken into account (Spearman rho ¼ 0.71, ess ¼ 6.64, p < 0.05), because variance spreads for positive values along PCA axis 1.…”
Section: Species Diversity As Surrogate For Environmental Diversitymentioning
confidence: 93%
“…2a). This correlation remains highly significant (corrected F ϭ 78.49, corrected P Ͻ 0.001, n ϭ 4,152: based on a subsample of cells and excluding single species occurrences) when degrees of freedom are reduced to account for spatial autocorrelation (26). Moving to phylogeny, places where a high proportion of species are on short terminal branches in the tree are likely to have rapid diversification, turnover, or immigration in their recent history (27).…”
Section: A Snapshot Of Mammalian Biodiversitymentioning
confidence: 99%
“…Locations and sampling time were chosen so as to reduce dependence among sites, thus preventing spatial autocorrelation and double counts between locations. Spatial autocorrelation can influence the null distribution of Pearson's R (referred to as R hereafter, and presented with the p value and the sample size n; Sokal and Rohlf 1995), leading to overestimating the number of degrees of freedom, and may therefore elevate the probability of a Type I error (Clifford et al 1989). The PASSAGE software was used (available at http:// www.passagesoftware.net/) to run a modified t-test for correlation, following Clifford et al (1989).…”
Section: Sampling Designmentioning
confidence: 99%