Stabilizing effects of spatial heterogeneity in predator-prey systems

1977 ◽  
Vol 11 (2) ◽  
pp. 252-273 ◽  
Author(s):  
William W. Murdoch
2011 ◽  
Vol 21 (03) ◽  
pp. 663-684 ◽  
Author(s):  
RANJIT KUMAR UPADHYAY ◽  
N. K. THAKUR ◽  
V. RAI

Predator–prey communities are building blocks of an ecosystem. Feeding rates reflect interference between predators in several situations, e.g. when predators form a dense colony or perform collective motion in a school, encounter prey in a region of limited size, etc. We perform spatio-temporal dynamics and pattern formation in a model aquatic system in both homogeneous and heterogeneous environments. Zooplanktons are predated by fishes and interfere with individuals of their own community. Numerical simulations are carried out to explore Turing and non-Turing spatial patterns. We also examine the effect of spatial heterogeneity on the spatio-temporal dynamics of the phytoplankton–zooplankton system. The phytoplankton specific growth rate is assumed to be a linear function of the depth of the water body. It is found that the spatio-temporal dynamics of an aquatic system is governed by three important factors: (i) intensity of interference between the zooplankton, (ii) rate of fish predation and (iii) the spatial heterogeneity. In an homogeneous environment, the temporal dynamics of prey and predator species are drastically different. While prey species density evolves chaotically, predator densities execute a regular motion irrespective of the intensity of fish predation. When the spatial heterogeneity is included, the two species oscillate in unison. It has been found that the instability observed in the model aquatic system is diffusion driven and fish predation acts as a regularizing factor. We also observed that spatial heterogeneity stabilizes the system. The idea contained in the paper provides a better understanding of the pattern formation in aquatic systems.


2004 ◽  
Vol 327 (11) ◽  
pp. 1058-1063 ◽  
Author(s):  
Jean-Christophe Poggiale ◽  
Pierre Auger

Oecologia ◽  
1976 ◽  
Vol 25 (1) ◽  
pp. 23-34 ◽  
Author(s):  
J. Daniel Udovic ◽  
David Pimentel ◽  
Donald Nafus

2019 ◽  
Vol 22 (2) ◽  
pp. 694-704
Author(s):  
Margarita Petrenko ◽  
Shmuel P. Friedman ◽  
Ronen Fluss ◽  
Zohar Pasternak ◽  
Amit Huppert ◽  
...  

2020 ◽  
Author(s):  
Julia D. Monk ◽  
A. Carla Staver ◽  
Oswald J. Schmitz

Spatial heterogeneity in ecological systems can result from top-down processes, but despite some theoretical attention, the emergence of spatial heterogeneity from feedbacks with consumers is not well understood empirically. Interactions between predators and prey influence animal movement and associated nutrient transport and release, generating spatial heterogeneity that cascades throughout ecological systems. In this review, we synthesize the existing literature to evaluate the mechanisms by which terrestrial predators can generate spatial heterogeneity in biogeochemical processes through consumptive and non-consumptive effects. Overall, we propose that predators increase heterogeneity in ecosystems whenever predation is intense and spatially variable, whereas predator-prey interactions homogenize ecosystems whenever predation is weak or diffuse in space. This leads to several testable hypotheses: (1) that predation and carcass deposition at high-predation risk sites stimulate positive feedbacks between predation risk and nutrient availability; (2) that prey generate nutrient hotspots when they concentrate activity in safe habitats, but instead generate nutrient subsidies when they migrate daily between safe and risky habitats; (3) that herbivore body size mediates risk effects, such that megaherbivores are more likely to homogenize ecosystems; and 4) that predator loss in general will tend to homogenize ecosystems. Testing these hypotheses will advance our understanding of whether predators amplify landscape heterogeneity in ecological systems.


Sign in / Sign up

Export Citation Format

Share Document