Expansion of cooperatively growing populations : Optimal migration rates and habitat network structures
(2017) In Physical Review E: covering statistical, nonlinear, biological, and soft matter physics 95(1).- Abstract
Range expansion of species is driven by the interactions among individual- and population-level processes and the spatial pattern of habitats. In this work we study how cooperatively growing populations spread on networks representing the skeleton of complex landscapes. By separating the slow and fast variables of the expansion process, we are able to give analytical predictions for the critical conditions that divide the dynamic behaviors into different phases (extinction, localized survival, and global expansion). We observe a resonance phenomenon in how the critical condition depends on the expansion rate, indicating the existence of an optimal strategy for global expansion. We derive the conditions for such optimal migration in... (More)
Range expansion of species is driven by the interactions among individual- and population-level processes and the spatial pattern of habitats. In this work we study how cooperatively growing populations spread on networks representing the skeleton of complex landscapes. By separating the slow and fast variables of the expansion process, we are able to give analytical predictions for the critical conditions that divide the dynamic behaviors into different phases (extinction, localized survival, and global expansion). We observe a resonance phenomenon in how the critical condition depends on the expansion rate, indicating the existence of an optimal strategy for global expansion. We derive the conditions for such optimal migration in locally treelike graphs and numerically study other structured networks. Our results highlight the importance of both the underlying interaction pattern and migration rate of the expanding populations for range expansion. We also discuss potential applications of the results to biological control and conservation.
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- author
- Yang, Kai Cheng ; Wu, Zhi Xi ; Holme, Petter and Nonaka, Etsuko LU
- organization
- publishing date
- 2017-01-10
- type
- Contribution to journal
- publication status
- published
- subject
- in
- Physical Review E: covering statistical, nonlinear, biological, and soft matter physics
- volume
- 95
- issue
- 1
- article number
- 012306
- publisher
- American Physical Society
- external identifiers
-
- pmid:28208365
- wos:000391864200004
- scopus:85010399572
- ISSN
- 2470-0045
- DOI
- 10.1103/PhysRevE.95.012306
- language
- English
- LU publication?
- yes
- id
- afa91143-4e77-452a-9883-75035526fae9
- date added to LUP
- 2017-03-02 10:10:14
- date last changed
- 2025-01-07 08:53:07
@article{afa91143-4e77-452a-9883-75035526fae9,
abstract = {{<p>Range expansion of species is driven by the interactions among individual- and population-level processes and the spatial pattern of habitats. In this work we study how cooperatively growing populations spread on networks representing the skeleton of complex landscapes. By separating the slow and fast variables of the expansion process, we are able to give analytical predictions for the critical conditions that divide the dynamic behaviors into different phases (extinction, localized survival, and global expansion). We observe a resonance phenomenon in how the critical condition depends on the expansion rate, indicating the existence of an optimal strategy for global expansion. We derive the conditions for such optimal migration in locally treelike graphs and numerically study other structured networks. Our results highlight the importance of both the underlying interaction pattern and migration rate of the expanding populations for range expansion. We also discuss potential applications of the results to biological control and conservation.</p>}},
author = {{Yang, Kai Cheng and Wu, Zhi Xi and Holme, Petter and Nonaka, Etsuko}},
issn = {{2470-0045}},
language = {{eng}},
month = {{01}},
number = {{1}},
publisher = {{American Physical Society}},
series = {{Physical Review E: covering statistical, nonlinear, biological, and soft matter physics}},
title = {{Expansion of cooperatively growing populations : Optimal migration rates and habitat network structures}},
url = {{http://dx.doi.org/10.1103/PhysRevE.95.012306}},
doi = {{10.1103/PhysRevE.95.012306}},
volume = {{95}},
year = {{2017}},
}