How patch size and refuge availability change interaction strength and population dynamics: a combined individual- and population-based modeling experiment
Knowledge on how functional responses (a measurement of feeding interaction strength) are affected by patch size and habitat complexity (represented by refuge availability) is crucial for understanding food-web stability and subsequently biodiversity. Due to their laborious character, it is almost i...
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PeerJ Inc.
2017-02-01
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author | Yuanheng Li Ulrich Brose Katrin Meyer Björn C. Rall |
author_facet | Yuanheng Li Ulrich Brose Katrin Meyer Björn C. Rall |
author_sort | Yuanheng Li |
collection | DOAJ |
description | Knowledge on how functional responses (a measurement of feeding interaction strength) are affected by patch size and habitat complexity (represented by refuge availability) is crucial for understanding food-web stability and subsequently biodiversity. Due to their laborious character, it is almost impossible to carry out systematic empirical experiments on functional responses across wide gradients of patch sizes and refuge availabilities. Here we overcame this issue by using an individual-based model (IBM) to simulate feeding experiments. The model is based on empirically measured traits such as body-mass dependent speed and capture success. We simulated these experiments in patches ranging from sizes of petri dishes to natural patches in the field. Moreover, we varied the refuge availability within the patch independently of patch size, allowing for independent analyses of both variables. The maximum feeding rate (the maximum number of prey a predator can consume in a given time frame) is independent of patch size and refuge availability, as it is the physiological upper limit of feeding rates. Moreover, the results of these simulations revealed that a type III functional response, which is known to have a stabilizing effect on population dynamics, fitted the data best. The half saturation density (the prey density where a predator consumes half of its maximum feeding rate) increased with refuge availability but was only marginally influenced by patch size. Subsequently, we investigated how patch size and refuge availability influenced stability and coexistence of predator-prey systems. Following common practice, we used an allometric scaled Rosenzweig–MacArthur predator-prey model based on results from our in silico IBM experiments. The results suggested that densities of both populations are nearly constant across the range of patch sizes simulated, resulting from the constant interaction strength across the patch sizes. However, constant densities with decreasing patch sizes mean a decrease of absolute number of individuals, consequently leading to extinction of predators in the smallest patches. Moreover, increasing refuge availabilities also allowed predator and prey to coexist by decreased interaction strengths. Our results underline the need for protecting large patches with high habitat complexity to sustain biodiversity. |
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spelling | doaj.art-8c05580639ea4cbda8901985196ec9692023-12-03T10:32:34ZengPeerJ Inc.PeerJ2167-83592017-02-015e299310.7717/peerj.2993How patch size and refuge availability change interaction strength and population dynamics: a combined individual- and population-based modeling experimentYuanheng Li0Ulrich Brose1Katrin Meyer2Björn C. Rall3German Centre for Integrative Biodiversity Research (iDiv) Halle-Jena-Leipzig, Leipzig, GermanyGerman Centre for Integrative Biodiversity Research (iDiv) Halle-Jena-Leipzig, Leipzig, GermanyDepartment of Ecosystem Modelling, Georg-August-Universität Göttingen, Göttingen, GermanyGerman Centre for Integrative Biodiversity Research (iDiv) Halle-Jena-Leipzig, Leipzig, GermanyKnowledge on how functional responses (a measurement of feeding interaction strength) are affected by patch size and habitat complexity (represented by refuge availability) is crucial for understanding food-web stability and subsequently biodiversity. Due to their laborious character, it is almost impossible to carry out systematic empirical experiments on functional responses across wide gradients of patch sizes and refuge availabilities. Here we overcame this issue by using an individual-based model (IBM) to simulate feeding experiments. The model is based on empirically measured traits such as body-mass dependent speed and capture success. We simulated these experiments in patches ranging from sizes of petri dishes to natural patches in the field. Moreover, we varied the refuge availability within the patch independently of patch size, allowing for independent analyses of both variables. The maximum feeding rate (the maximum number of prey a predator can consume in a given time frame) is independent of patch size and refuge availability, as it is the physiological upper limit of feeding rates. Moreover, the results of these simulations revealed that a type III functional response, which is known to have a stabilizing effect on population dynamics, fitted the data best. The half saturation density (the prey density where a predator consumes half of its maximum feeding rate) increased with refuge availability but was only marginally influenced by patch size. Subsequently, we investigated how patch size and refuge availability influenced stability and coexistence of predator-prey systems. Following common practice, we used an allometric scaled Rosenzweig–MacArthur predator-prey model based on results from our in silico IBM experiments. The results suggested that densities of both populations are nearly constant across the range of patch sizes simulated, resulting from the constant interaction strength across the patch sizes. However, constant densities with decreasing patch sizes mean a decrease of absolute number of individuals, consequently leading to extinction of predators in the smallest patches. Moreover, increasing refuge availabilities also allowed predator and prey to coexist by decreased interaction strengths. Our results underline the need for protecting large patches with high habitat complexity to sustain biodiversity.https://peerj.com/articles/2993.pdfFunctional responseHabitat lossHabitat complexityFood webIndividual-based modelInteraction strength |
spellingShingle | Yuanheng Li Ulrich Brose Katrin Meyer Björn C. Rall How patch size and refuge availability change interaction strength and population dynamics: a combined individual- and population-based modeling experiment PeerJ Functional response Habitat loss Habitat complexity Food web Individual-based model Interaction strength |
title | How patch size and refuge availability change interaction strength and population dynamics: a combined individual- and population-based modeling experiment |
title_full | How patch size and refuge availability change interaction strength and population dynamics: a combined individual- and population-based modeling experiment |
title_fullStr | How patch size and refuge availability change interaction strength and population dynamics: a combined individual- and population-based modeling experiment |
title_full_unstemmed | How patch size and refuge availability change interaction strength and population dynamics: a combined individual- and population-based modeling experiment |
title_short | How patch size and refuge availability change interaction strength and population dynamics: a combined individual- and population-based modeling experiment |
title_sort | how patch size and refuge availability change interaction strength and population dynamics a combined individual and population based modeling experiment |
topic | Functional response Habitat loss Habitat complexity Food web Individual-based model Interaction strength |
url | https://peerj.com/articles/2993.pdf |
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