Pruning the Tree of Life: k-core Percolation as Selection Mechanism

TL;DR

This paper introduces a model for evolution using k-core percolation as a selection mechanism, successfully reproducing fossil data distributions and highlighting the role of species interactions and ecological niches.

Contribution

It demonstrates the feasibility of k-core percolation as a novel selection mechanism in evolutionary modeling, aligning theoretical predictions with fossil data.

Findings

Distributions of extinction events follow power laws.

Model reproduces species per genus and lifetime distributions.

Ecological niches emerge from the interaction topology.

Abstract

We propose a model for evolution aiming to reproduce statistical features of fossil data, in particular the distributions of extinction events, the distribution of species per genus and the distribution of lifetimes, all of which are known to be of power law type. The model incorporates both species-species interactions and ancestral relationships. The main novelty of this work is to show the feasibility of k-core percolation as a selection mechanism. We give theoretical predictions for the observable distributions, confirm their validity by computer simulation and report good agreement with the fossil data. A key feature of the proposed model is a co-evolving fitness landscape determined by the topology of the underlying species interactions, ecological niches emerge naturally. The predicted distributions are independent of the rate of speciation, i.e. whether one adopts an gradualist or punctuated view of evolution.