The fractal geometry of evolution

Area of Science:

• Evolutionary Biology
• Taxonomy
• Fractal Geometry

Background:

• Taxonomic systems organize biodiversity, but their underlying structure and evolutionary implications are not fully understood.
• Previous work by Burlando (1990) suggested fractal geometry in taxonomic systems.

Purpose of the Study:

• To demonstrate that the fractal geometry of taxonomic systems reflects self-similar evolutionary patterns.
• To investigate if this fractal pattern is consistent across different data sources and taxonomic levels.

Main Methods:

• Analysis of taxonomic data from the fossil record.
• Examination of taxonomic data from phylogenetic systematics.
• Comparative analysis across different levels of the taxonomic hierarchy.

Main Results:

• Frequency distributions of subtaxa within taxa consistently fit a hyperbolic model, confirming a fractal pattern.
• The fractal pattern is independent of classification bias, as shown by fossil and phylogenetic data.
• Evolutionary radiations exhibit self-similarity, with lineages arising in fractal clusters.

Conclusions:

• The fractal geometry of taxonomic systems provides evidence for self-similar evolutionary patterns.
• This fractal nature suggests a universal mechanism for life diversification, potentially encompassing all levels from species to higher taxa.
• A fractal perspective shifts focus from species to broader patterns of diversification and evolutionary radiations.