A model for phenotype change in a stochastic framework
In some species, an inducible secondary phenotype will develop sometime after the environmental change that evokes it. Nishimura (2006)[4] showed how an individual organism should optimizethe time it takes to respond to an environmental change ('waitingtime''). If the optimal waiting...
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AIMS Press
2010-05-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2010.7.719 |
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| author | Graeme Wake Anthony Pleasants Alan Beedle Peter Gluckman |
| author_facet | Graeme Wake Anthony Pleasants Alan Beedle Peter Gluckman |
| author_sort | Graeme Wake |
| collection | DOAJ |
| description | In some species, an inducible secondary phenotype will develop sometime after the environmental change that evokes it. Nishimura (2006)[4] showed how an individual organism should optimizethe time it takes to respond to an environmental change ('waitingtime''). If the optimal waiting time is considered to act over thepopulation, there are implications for the expected value of themean fitness in that population. A stochastic predator-prey model isproposed in which the prey have a fixed initial energy budget.Fitness is the product of survival probability and the energyremaining for non-defensive purposes. The model is placed in thestochastic domain by assuming that the waiting time in thepopulation is a normally distributed random variable because ofbiological variance inherent in mounting the response. It is foundthat the value of the mean waiting time that maximises fitnessdepends linearly on the variance of the waiting time. |
| format | Article |
| id | doaj-art-9f8f66d708924f788ad9215edcc1a31c |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2010-05-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-9f8f66d708924f788ad9215edcc1a31c2025-01-24T02:00:44ZengAIMS PressMathematical Biosciences and Engineering1551-00182010-05-017371972810.3934/mbe.2010.7.719A model for phenotype change in a stochastic frameworkGraeme Wake0Anthony Pleasants1Alan Beedle2Peter Gluckman3National Research Centre for Growth and Development & Institute of Information and Mathematical Sciences, Massey University, Private Bag 102904, Albany, AucklandNational Research Centre for Growth and Development & Institute of Information and Mathematical Sciences, Massey University, Private Bag 102904, Albany, AucklandNational Research Centre for Growth and Development & Institute of Information and Mathematical Sciences, Massey University, Private Bag 102904, Albany, AucklandNational Research Centre for Growth and Development & Institute of Information and Mathematical Sciences, Massey University, Private Bag 102904, Albany, AucklandIn some species, an inducible secondary phenotype will develop sometime after the environmental change that evokes it. Nishimura (2006)[4] showed how an individual organism should optimizethe time it takes to respond to an environmental change ('waitingtime''). If the optimal waiting time is considered to act over thepopulation, there are implications for the expected value of themean fitness in that population. A stochastic predator-prey model isproposed in which the prey have a fixed initial energy budget.Fitness is the product of survival probability and the energyremaining for non-defensive purposes. The model is placed in thestochastic domain by assuming that the waiting time in thepopulation is a normally distributed random variable because ofbiological variance inherent in mounting the response. It is foundthat the value of the mean waiting time that maximises fitnessdepends linearly on the variance of the waiting time.https://www.aimspress.com/article/doi/10.3934/mbe.2010.7.719waiting time.fitnessstochasticityinducible defencephenotypic plasticity |
| spellingShingle | Graeme Wake Anthony Pleasants Alan Beedle Peter Gluckman A model for phenotype change in a stochastic framework Mathematical Biosciences and Engineering waiting time. fitness stochasticity inducible defence phenotypic plasticity |
| title | A model for phenotype change in a stochastic framework |
| title_full | A model for phenotype change in a stochastic framework |
| title_fullStr | A model for phenotype change in a stochastic framework |
| title_full_unstemmed | A model for phenotype change in a stochastic framework |
| title_short | A model for phenotype change in a stochastic framework |
| title_sort | model for phenotype change in a stochastic framework |
| topic | waiting time. fitness stochasticity inducible defence phenotypic plasticity |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2010.7.719 |
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