Estimating stochastic elasticities directly from longitudinal data.

The elasticities of long-run population growth rate with respect to vital rates are useful in studying selection on vital rates, and in evaluating management policy that aims to control vital rates. In temporally varying environments, elasticity is often calculated from simulations that assume a pro...

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Main Authors: Haridas, C, Tuljapurkar, S, Coulson, T
Format: Journal article
Language:English
Published: 2009
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author Haridas, C
Tuljapurkar, S
Coulson, T
author_facet Haridas, C
Tuljapurkar, S
Coulson, T
author_sort Haridas, C
collection OXFORD
description The elasticities of long-run population growth rate with respect to vital rates are useful in studying selection on vital rates, and in evaluating management policy that aims to control vital rates. In temporally varying environments, elasticity is often calculated from simulations that assume a probability distribution for the environmental states. Here we develop a method to estimate elasticities directly from demographic data. Using a time-series of demographic matrices and age-structure we construct a consistent statistical estimator of elasticity that converges to the correct limiting value as the sample length increases. We also construct confidence intervals for elasticities from temporal data and suggest tools for testing hypotheses about the strength of selection. We use data on a natural population to show that our method can indeed accurately estimate elasticities using relatively short time series.
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spelling oxford-uuid:239c6f01-72eb-46a2-a5ca-352853ef2bf02022-03-26T11:45:10ZEstimating stochastic elasticities directly from longitudinal data.Journal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:239c6f01-72eb-46a2-a5ca-352853ef2bf0EnglishSymplectic Elements at Oxford2009Haridas, CTuljapurkar, SCoulson, TThe elasticities of long-run population growth rate with respect to vital rates are useful in studying selection on vital rates, and in evaluating management policy that aims to control vital rates. In temporally varying environments, elasticity is often calculated from simulations that assume a probability distribution for the environmental states. Here we develop a method to estimate elasticities directly from demographic data. Using a time-series of demographic matrices and age-structure we construct a consistent statistical estimator of elasticity that converges to the correct limiting value as the sample length increases. We also construct confidence intervals for elasticities from temporal data and suggest tools for testing hypotheses about the strength of selection. We use data on a natural population to show that our method can indeed accurately estimate elasticities using relatively short time series.
spellingShingle Haridas, C
Tuljapurkar, S
Coulson, T
Estimating stochastic elasticities directly from longitudinal data.
title Estimating stochastic elasticities directly from longitudinal data.
title_full Estimating stochastic elasticities directly from longitudinal data.
title_fullStr Estimating stochastic elasticities directly from longitudinal data.
title_full_unstemmed Estimating stochastic elasticities directly from longitudinal data.
title_short Estimating stochastic elasticities directly from longitudinal data.
title_sort estimating stochastic elasticities directly from longitudinal data
work_keys_str_mv AT haridasc estimatingstochasticelasticitiesdirectlyfromlongitudinaldata
AT tuljapurkars estimatingstochasticelasticitiesdirectlyfromlongitudinaldata
AT coulsont estimatingstochasticelasticitiesdirectlyfromlongitudinaldata