Spatial autocorrelation, model selection and hypothesis testing in geographical ecology: Implications for testing metabolic theory in New World amphibians

Authors

  • Fernanda A.S. Cassemiro
  • José Alexandre Felizola Diniz-Filho
  • Thiago Fernando L.V.B. Rangel
  • Luís Maurício Bini

Abstract

In this paper, we stressed that avoiding significance tests under an alternative model selection framework does not mean that spatial autocorrelation no longer matters, since Akaike information criterion (AIC) is sensitive to the presence of spatial autocorrelation. We exemplify our discussion by analysing species richness patterns of American amphibians, in the context of metabolic theory, to understand how the presence of spatial autocorrelation in data affects data analysis under alternative frameworks of hypothesis testing and model selection. In general, temperature was found to be an important predictor of species richness in both frameworks, although particular predictions of metabolic theory were not fully satisfied when taking spatial autocorrelation into account.

Key words: hypothesis testing; spatial autocorrelation; model selection; Akaike information criterion; macroecology; richness gradients; metabolic theory.

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