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. 2014 Nov 10;9(11):e112850. doi: 10.1371/journal.pone.0112850

Table 1. First and second order effects.

Macroecological pattern First-order effect Second-order effect
Species abundance distribution Log-normal (approximate) Changes in mean, coefficient of variation, skewness, kurtosis at different area scales
Species area relationship Power law (approximate) Changes in local slope at different area scales
Similarity-distance relationship Monotonic decreasing Changes in local slope at different distance scales
Fraction of clumped species Positive Changes in local slope at different distance scales

First-order effects describe all datasets, while second-order effects may provide scale-dependent approaches for distinguishing datasets.