Cumulative compressibility effects on population dynamics in turbulent flows

TL;DR

This paper investigates how small flow compressibility in turbulent aquatic environments significantly reduces microorganism populations' carrying capacity, due to interactions between turbulence and biological reproduction times.

Contribution

It provides the first quantitative analysis of flow compressibility effects on population dynamics in turbulent flows, revealing substantial impacts on ecosystem carrying capacity.

Findings

Small compressibility causes large reductions in carrying capacity.

Population concentration fluctuations exhibit data collapse across parameters.

Long organism replication times amplify compressibility effects.

Abstract

Bacteria and plankton populations living in oceans and lakes reproduce and die under the in- fluence of turbulent currents. Turbulent transport interacts in a complex way with the dynamics of populations because the typical reproduction time of microorganism is within the inertial range of turbulent time scales. In the present manuscript we quantitatively investigate the effect of flow compressibility on the dynamics of populations. While a small compressibility can be induced by several physical mechanisms, like density mismatch or the finite size of microorganisms with respect to the fluid turbulence, its effect on the the carrying capacity of the ecosystem can be dramatic. We report, for the first time, how a small compressibility can produce a sizeable reduction in the carrying capacity, due to an integrated effect made possible by the long replication times of the organisms with respect to turbulent time scales. A full statistical quantification of the fluctuations of population concentration field leads to data collapse over a broad range in parameter space.