Fluctuating environments are sufficient to drive substantial variability in species abundance across locations

TL;DR

This study models how fluctuating environments cause significant variability in species abundance across different locations, highlighting the role of environmental dynamics and migration in shaping community structure.

Contribution

It introduces a minimal spatial model with environmental fluctuations, analytically deriving species abundance inequality distributions and revealing a noise-induced transition to bimodality.

Findings

Environmental fluctuations drive variability in species abundance.

Migration and fluctuation balance determine abundance distribution characteristics.

Existence of a noise-induced transition to bimodal inequality.

Abstract

Species growing in environments that change in time and space will vary in their abundance across locations, even in the absence of persistent location preferences. Here we quantify this non-equilibrium effect by studying a minimal model of a spatially compartmentalised community with time-averaged-neutral competition but location-dependent environmental fluctuations. We analytically derive distributions of two-point inequality, defined as the log-ratio of a species' abundance across a pair of locations. We characterise how the balance of relaxation via migration and fluctuation strength determine the bulk and extreme value statistics of these distributions in the two-patch and infinite-patch cases. We demonstrate the existence of a noise-induced transition to bimodal inequality, which depends on the correlation timescale of the environmental fluctuations. Finally, we discuss the evolutionary benefit of finite migration rates in environments with temporal correlations.