Population dynamics in variable environments. I. Long-run growth rates and extinction

DOI10.1016/0040-5809(80)90057-XzbMath0451.92012MaRDI QIDQ1148248

Steven Hecht Orzack, Shripad D. Tuljapurkar

Publication date: 1980

Published in: Theoretical Population Biology (Search for Journal in Brave)

zbMATH Keywords

sensitivityasymptotic distributionpopulation dynamicsLeslie modelvariable environmentsprobability of extinctionlong-run growth ratesserial autocorrelation

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.) (60J20)

Related Items (30)

Derivatives of the stochastic growth rate ⋮ Approximate reduction of multiregional models with environmental stochasticity ⋮ Projecting age-structured populations in a random environment ⋮ Elasticity analysis of density-dependent matrix population models: the invasion exponent and its substitutes ⋮ Selection on age-specific survival: constant versus fluctuating environment ⋮ Population dynamics and animal welfare: Issues raised by the culling of kangaroos in Puckapun\-yal ⋮ An uncertain life: Demography in random environments ⋮ Pareto-optimal trade-off for phenotypic switching of populations in a stochastic environment ⋮ Fifty years of theoretical population biology ⋮ Tuljapurkar and Orzack (1980) and Tuljapurkar (1982a,b): population dynamics in variable environments ⋮ Population dynamics in variable environments. II. Correlated environments, sensitivity analysis and dynamics ⋮ Population dynamics and variable environments. III. Evolutionary dynamics of r-selection ⋮ The long-run distribution of births across environments under environmental stochasticity and its use in the calculation of unconditional life-history parameters ⋮ Estimating population growth rates from stochastic Leslie matrices ⋮ Leslie matrix models ⋮ Population growth with variable family size ⋮ The biennial life strategy in a random environment ⋮ Extinction in a branching process: why some of the fittest strategies cannot guarantee survival ⋮ Trait level analysis of multitrait population projection matrices ⋮ Approximating the distribution of population size in stochastic multiregional matrix models with fast migration ⋮ Extinction in relation to demographic and environmental stochasticity in age-structured mod\-els ⋮ Stochastic population dynamics in a Markovian environment implies Taylor's power law of fluctuation scaling ⋮ Demography in stochastic environments. II: Growth and convergence rates ⋮ Approximate solution methods for linear stochastic difference equations ⋮ Time scales in stochastic multiregional models ⋮ A modified model for projecting age-structured populations in random environments ⋮ Demography in stochastic environments. I. Exact distributions of age structure ⋮ Optimal life schedule with stochastic growth in age-size structured models: theory and an application ⋮ Confidence intervals for demographic projections based on products of random matrices ⋮ Approximate solution methods for linear stochastic difference equations. II. Inhomogeneous equations, multi-time averages, biological application

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