Biodiversity patterns along ecological gradients: unifying β-diversity indices

Area of Science:

• Ecology
• Biodiversity Science
• Quantitative Ecology

Background:

• Ecologists use beta-diversity (β-diversity) to link local (α) and regional (γ) species richness.
• Biodiversity patterns are often studied by regressing β-diversity indices against ecological gradients.
• Current methods face challenges with mathematical constraints on indices and index-dependency of results.

Purpose of the Study:

• To address limitations in analyzing biodiversity patterns along ecological gradients.
• To propose a method that resolves mathematical constraints and index-choice variability in β-diversity analysis.
• To unify the study of biodiversity patterns by providing a consistent analytical framework.

Main Methods:

• A simple logistic transformation was applied to β-diversity indices.
• The transformation was tested to remove mathematical constraints inherent in common indices.
• The effect of the transformation on biodiversity patterns derived from different indices was evaluated.

Main Results:

• The logistic transformation successfully removed mathematical constraints from β-diversity indices.
• Regression curves of transformed indices no longer extend beyond valid mathematical limits.
• The transformation yielded identical biodiversity patterns for three common classical β-diversity indices.

Conclusions:

• The proposed logistic transformation offers a robust solution to common analytical problems in β-diversity studies.
• This method enhances the interpretability and consistency of biodiversity pattern analysis along ecological gradients.
• The transformation facilitates the unification of biodiversity research by allowing flexible index selection without compromising results.