Habitat fragmentation: Simple models for local persistence and the spread of invasive species
Understanding the persistence and growth of natural populations in environments subject to random localised change is relevant both to the conservation of threatened species and to the control of invasive species. By developing and analysing simple strategic growth models in environments subject to...
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| Published in | Journal of theoretical biology Vol. 310; pp. 231 - 238 |
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| Main Authors | , , , |
| Format | Journal Article |
| Language | English |
| Published |
England
Elsevier Ltd
07.10.2012
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| Subjects | |
| Online Access | Get full text |
| ISSN | 0022-5193 1095-8541 1095-8541 |
| DOI | 10.1016/j.jtbi.2012.06.033 |
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| Abstract | Understanding the persistence and growth of natural populations in environments subject to random localised change is relevant both to the conservation of threatened species and to the control of invasive species. By developing and analysing simple strategic growth models in environments subject to random fragmentation events, we show that simple approximations can be used to predict invasion speeds and extinction probabilities. The rate and size of fragmentation events interact in a nonlinear way, a finding with important consequences for the efficient control of invasive species. Infrequent, large-scale fragmentation events provide more effective means of control than more frequent, smaller scale efforts.
► Population spread speed and persistence in a randomly fragmented environment. ► Continuum limit of stochastic process allows analytical insight into spatial phenomena. ► Implications for control of invasive species. |
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| AbstractList | Understanding the persistence and growth of natural populations in environments subject to random localised change is relevant both to the conservation of threatened species and to the control of invasive species. By developing and analysing simple strategic growth models in environments subject to random fragmentation events, we show that simple approximations can be used to predict invasion speeds and extinction probabilities. The rate and size of fragmentation events interact in a nonlinear way, a finding with important consequences for the efficient control of invasive species. Infrequent, large-scale fragmentation events provide more effective means of control than more frequent, smaller scale efforts.Understanding the persistence and growth of natural populations in environments subject to random localised change is relevant both to the conservation of threatened species and to the control of invasive species. By developing and analysing simple strategic growth models in environments subject to random fragmentation events, we show that simple approximations can be used to predict invasion speeds and extinction probabilities. The rate and size of fragmentation events interact in a nonlinear way, a finding with important consequences for the efficient control of invasive species. Infrequent, large-scale fragmentation events provide more effective means of control than more frequent, smaller scale efforts. Understanding the persistence and growth of natural populations in environments subject to random localised change is relevant both to the conservation of threatened species and to the control of invasive species. By developing and analysing simple strategic growth models in environments subject to random fragmentation events, we show that simple approximations can be used to predict invasion speeds and extinction probabilities. The rate and size of fragmentation events interact in a nonlinear way, a finding with important consequences for the efficient control of invasive species. Infrequent, large-scale fragmentation events provide more effective means of control than more frequent, smaller scale efforts. ► Population spread speed and persistence in a randomly fragmented environment. ► Continuum limit of stochastic process allows analytical insight into spatial phenomena. ► Implications for control of invasive species. Understanding the persistence and growth of natural populations in environments subject to random localised change is relevant both to the conservation of threatened species and to the control of invasive species. By developing and analysing simple strategic growth models in environments subject to random fragmentation events, we show that simple approximations can be used to predict invasion speeds and extinction probabilities. The rate and size of fragmentation events interact in a nonlinear way, a finding with important consequences for the efficient control of invasive species. Infrequent, large-scale fragmentation events provide more effective means of control than more frequent, smaller scale efforts. |
| Author | Pitchford, J.W. James, A.F. Plank, M.J. Brown, R.G. |
| Author_xml | – sequence: 1 givenname: R.G. surname: Brown fullname: Brown, R.G. email: richard.brown@canterbury.ac.nz organization: Department of Mathematics and Statistics, University of Canterbury, Private Bag 4800, Christchurch 8140, New Zealand – sequence: 2 givenname: A.F. surname: James fullname: James, A.F. organization: Department of Mathematics and Statistics, University of Canterbury, Private Bag 4800, Christchurch 8140, New Zealand – sequence: 3 givenname: J.W. surname: Pitchford fullname: Pitchford, J.W. organization: Department of Mathematics, University of York, York Y010 5DD, United Kingdom – sequence: 4 givenname: M.J. surname: Plank fullname: Plank, M.J. organization: Department of Mathematics and Statistics, University of Canterbury, Private Bag 4800, Christchurch 8140, New Zealand |
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| CitedBy_id | crossref_primary_10_1016_j_ecoinf_2016_02_002 crossref_primary_10_1016_j_jtbi_2016_07_031 crossref_primary_10_1016_j_tree_2013_04_003 crossref_primary_10_1002_ece3_11646 crossref_primary_10_1007_s10530_015_0914_3 crossref_primary_10_1007_s10530_022_02985_2 crossref_primary_10_1016_j_ecoinf_2015_11_008 crossref_primary_10_1088_1367_2630_aa5bf5 |
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| Keywords | Stochastic model Control Spatial model Invasion |
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| SubjectTerms | Animals Computer Simulation Conservation of Natural Resources Control Ecosystem extinction growth models habitat fragmentation Introduced Species Invasion invasive species Models, Biological Population Dynamics Spatial model Stochastic model Stochastic Processes threatened species Time Factors |
| Title | Habitat fragmentation: Simple models for local persistence and the spread of invasive species |
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