General mechanisms for a top–down origin of the predator–prey power law

The ratio of predator‐to‐prey biomass density is not constant along ecological gradients: denser ecosystems tend to have fewer predators per prey, following a scaling relation known as the ‘predator–prey power law'. The origin of this surprisingly general pattern, particularly its connection with environmental factors and predator–prey dynamics, is unknown, but has been proposed to be explainable through density‐dependent interactions among prey (what we call a bottom–up origin). In contrast, we combine two complementary theoretical approaches to demonstrate how sublinear predator–prey scaling can also emerge from density‐dependent interactions among predators and between predators and prey (a top–down origin). First, we use phenomenological differential equations to explore the role of environmental parameters and dynamical properties behind the predator–prey ratio. Second, we simulate an agent‐based model with tunable predator self‐regulation to investigate the emergence of predator–prey scaling from plausible microscopic rules. While we cannot rule out alternative explanations, our results show that density‐dependent mechanisms relative to predation and intraspecific predator interactions, including prey saturation, predator interference, and predator self‐regulation, offer potential explanations for the predator–prey power law.

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Publication Details

Journal
Oikos
Published
2025-05-27
DOI
https://doi.org/10.1002/oik.11232
Primary Topic
Evolutionary Game Theory and Cooperation
Type
article
Field-Weighted Citation Impact
0.00

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article

General mechanisms for a top–down origin of the predator–prey power law

Onofrio Mazzarisi, Matthieu Barbier, Matteo Smerlak
Oikos
Evolutionary Game Theory and Cooperation
article

General mechanisms for a top–down origin of the predator–prey power law

Onofrio Mazzarisi, Matthieu Barbier, Matteo Smerlak
article en

Abstract

The ratio of predator‐to‐prey biomass density is not constant along ecological gradients: denser ecosystems tend to have fewer predators per prey, following a scaling relation known as the ‘predator–prey power law'. The origin of this surprisingly general pattern, particularly its connection with environmental factors and predator–prey dynamics, is unknown, but has been proposed to be explainable through density‐dependent interactions among prey (what we call a bottom–up origin). In contrast, we combine two complementary theoretical approaches to demonstrate how sublinear predator–prey scaling can also emerge from density‐dependent interactions among predators and between predators and prey (a top–down origin). First, we use phenomenological differential equations to explore the role of environmental parameters and dynamical properties behind the predator–prey ratio. Second, we simulate an agent‐based model with tunable predator self‐regulation to investigate the emergence of predator–prey scaling from plausible microscopic rules. While we cannot rule out alternative explanations, our results show that density‐dependent mechanisms relative to predation and intraspecific predator interactions, including prey saturation, predator interference, and predator self‐regulation, offer potential explanations for the predator–prey power law.

OikosVol. 2025(9)
The Abdus Salam International Centre for Theoretical Physics (ICTP) (IT), Centre de Coopération Internationale en Recherche Agronomique pour le Développement (FR), Université de Montpellier (FR), Institut Agro Montpellier (FR), Institut National de Recherche pour l'Agriculture, l'Alimentation et l'Environnement (FR), Institut Agro Montpelier (FR), Services déconcentrés d'appui à la recherche Occitanie-Montpellier (FR), Metropolitan University (BD), National Institute of Oceanography and Applied Geophysics (IT), Institut de Recherche pour le Développement (FR), Plant Health Institute de Montpellier (FR), Capital Fund Management (France) (FR)
National Science Foundation, Alexander von Humboldt-Stiftung, Bundesministerium für Bildung und Forschung
Life in Land
Openalex Percentile: Top 85%
Evolutionary Game Theory and Cooperation
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