Empirical parameterisation and dynamical analysis of the allometric Rosenzweig-MacArthur equations.

Autor: Jody C McKerral, Maria Kleshnina, Vladimir Ejov, Louise Bartle, James G Mitchell, Jerzy A Filar
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: PLoS ONE, Vol 18, Iss 2, p e0279838 (2023)
Druh dokumentu: article
ISSN: 1932-6203
DOI: 10.1371/journal.pone.0279838
Popis: Allometric settings of population dynamics models are appealing due to their parsimonious nature and broad utility when studying system level effects. Here, we parameterise the size-scaled Rosenzweig-MacArthur differential equations to eliminate prey-mass dependency, facilitating an in depth analytic study of the equations which incorporates scaling parameters' contributions to coexistence. We define the functional response term to match empirical findings, and examine situations where metabolic theory derivations and observation diverge. The dynamical properties of the Rosenzweig-MacArthur system, encompassing the distribution of size-abundance equilibria, the scaling of period and amplitude of population cycling, and relationships between predator and prey abundances, are consistent with empirical observation. Our parameterisation is an accurate minimal model across 15+ orders of mass magnitude.
Databáze: Directory of Open Access Journals
Nepřihlášeným uživatelům se plný text nezobrazuje