Asymmetric competition causes multimodal size distributions in spatially structured populations

Authored by Jorge Velazquez, Markus P Eichhorn, Robert B Allen, David A Coomes

Date Published: 2016

DOI: 10.1098/rspb.2015.2404

Sponsors: United Kingdom Engineering and Physical Sciences Research Council (EPSRC)

Platforms: C

Model Documentation: Other Narrative Mathematical description

Model Code URLs: https://github.com/jorgevc/IMB-SizeDependent

Abstract

Plant sizes within populations often exhibit multimodal distributions, even when all individuals are the same age and have experienced identical conditions. To establish the causes of this, we created an individual-based model simulating the growth of trees in a spatially explicit framework, which was parametrized using data from a long-term study of forest stands in New Zealand. First, we demonstrate that asymmetric resource competition is a necessary condition for the formation of multimodal size distributions within cohorts. By contrast, the legacy of small-scale clustering during recruitment is transient and quickly overwhelmed by density-dependent mortality. Complex multi-layered size distributions are generated when established individuals are restricted in the spatial domain within which they can capture resources. The number of modes reveals the effective number of direct competitors, while the separation and spread of modes are influenced by distances among established individuals. Asymmetric competition within local neighbourhoods can therefore generate a range of complex size distributions within even-aged cohorts.

Tags

Dynamics growth Forest General-model Density relationships Stand structure Below-ground competition Aged plant monocultures Biomass-density Bimodality