2017
DOI: 10.1086/694121
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Stochastic Evolutionary Demography under a Fluctuating Optimum Phenotype

Abstract: Many natural populations exhibit temporal fluctuations in abundance that are consistent with external forcing by a randomly changing environment. As fitness emerges from an interaction between the phenotype and the environment, such demographic fluctuations probably include a substantial contribution from fluctuating phenotypic selection. We study the stochastic population dynamics of a population exposed to random (plus possibly directional) changes in the optimum phenotype for a quantitative trait that evolv… Show more

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Cited by 47 publications
(91 citation statements)
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References 71 publications
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“…To model possibly correlated fluctuations in the joint optimum as in Chevin () as well as autocorrelation across time (as in Lande and Shannon ; Lande ; Tufto ; Chevin et al. ), the random effects representing yearly variation in overall survival ut and variation in the optimal laying date ζt are assumed to follow a first‐order vector autoregressive VAR(1) process utζt=Φut1ζt1+boldwt,where normalΦ is a 2 × 2 matrix of autoregressive coefficients and wt is bivariate normal N(0,Σ) white noise. This only specifies the autocorrelation matrix function (see Wei , ch.…”
Section: Methodsmentioning
confidence: 99%
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“…To model possibly correlated fluctuations in the joint optimum as in Chevin () as well as autocorrelation across time (as in Lande and Shannon ; Lande ; Tufto ; Chevin et al. ), the random effects representing yearly variation in overall survival ut and variation in the optimal laying date ζt are assumed to follow a first‐order vector autoregressive VAR(1) process utζt=Φut1ζt1+boldwt,where normalΦ is a 2 × 2 matrix of autoregressive coefficients and wt is bivariate normal N(0,Σ) white noise. This only specifies the autocorrelation matrix function (see Wei , ch.…”
Section: Methodsmentioning
confidence: 99%
“…; Chevin et al. ). This was recognized more than thirty years ago by Arnold and Wade () who highlighted the need to measure selection through separate episodes of selection across the life cycle.…”
mentioning
confidence: 98%
“…, Chevin et al. ), especially in populations with weak density feedbacks (Morris and Doak ). Under global environmental change, which is expected to alter temporal autocorrelation in natural environments (Boulton and Lenton , Lenton et al.…”
Section: Introductionmentioning
confidence: 99%
“…For positive autocorrelation, a good year is more likely to be followed by another, and vice versa, leading to larger stretches of population growth and shrinkage. Long stretches of adverse conditions can lead to higher risk of population extinction (Petchey 2000, Laakso et al 2003, Pike et al 2004, Tuljapurkar and Haridas 2006, Engen et al 2013, Chevin et al 2017, especially in populations with weak density feedbacks (Morris and Doak 2002). Under global environmental change, which is expected to alter temporal autocorrelation in natural environments (Boulton and Lenton 2015, Lenton et al 2017, extinction risk may be exacerbated (van der Bolt et al 2018).…”
Section: Introductionmentioning
confidence: 99%
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