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Expansion of cooperatively growing populations : Optimal migration rates and habitat network structures

Yang, Kai Cheng; Wu, Zhi Xi; Holme, Petter and Nonaka, Etsuko LU (2017) In Physical Review E - Statistical, Nonlinear, 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
organization
publishing date
type
Contribution to journal
publication status
published
subject
in
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
volume
95
issue
1
publisher
American Physical Society
external identifiers
  • scopus:85010399572
  • wos:000391864200004
ISSN
1539-3755
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
2018-01-07 11:53:30
@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>},
  articleno    = {012306},
  author       = {Yang, Kai Cheng and Wu, Zhi Xi and Holme, Petter and Nonaka, Etsuko},
  issn         = {1539-3755},
  language     = {eng},
  month        = {01},
  number       = {1},
  publisher    = {American Physical Society},
  series       = {Physical Review E - Statistical, Nonlinear, 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},
  volume       = {95},
  year         = {2017},
}