Combining envelope methodology and aster models for variance reduction in life history analyses

Research output: Contribution to journalArticle

Abstract

Precise estimation of expected Darwinian fitness, the expected lifetime number of offspring of organism, is a central component of life history analysis. The aster model serves as a defensible statistical model for distributions of Darwinian fitness. The aster model is equipped to incorporate the major life stages an organism travels through which separately may effect Darwinian fitness. Envelope methodology reduces asymptotic variability by establishing a link between unknown parameters of interest and the asymptotic covariance matrices of their estimators. It is known both theoretically and in applications that incorporation of envelope methodology reduces asymptotic variability. We develop an envelope framework, including a new envelope estimator, that is appropriate for aster analyses. The level of precision provided from our methods allows researchers to draw stronger conclusions about the driving forces of Darwinian fitness from their life history analyses than they could with the aster model alone. Our methods are illustrated on a simulated dataset and a life history analysis of Mimulus guttatus flowers is provided. Useful variance reduction is obtained in both analyses.

Original languageEnglish (US)
Pages (from-to)283-292
Number of pages10
JournalJournal of Statistical Planning and Inference
Volume205
DOIs
StateAccepted/In press - Jan 1 2019

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Variance Reduction
Fitness
Envelope
Methodology
Covariance matrix
Asymptotic Covariance Matrix
Estimator
Driving Force
Model
Unknown Parameters
Statistical Model
Lifetime
History
Life
Variance reduction
Life history

Keywords

  • Darwinian fitness
  • Envelope model
  • Fitness landscape
  • Parametric bootstrap

Cite this

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title = "Combining envelope methodology and aster models for variance reduction in life history analyses",
abstract = "Precise estimation of expected Darwinian fitness, the expected lifetime number of offspring of organism, is a central component of life history analysis. The aster model serves as a defensible statistical model for distributions of Darwinian fitness. The aster model is equipped to incorporate the major life stages an organism travels through which separately may effect Darwinian fitness. Envelope methodology reduces asymptotic variability by establishing a link between unknown parameters of interest and the asymptotic covariance matrices of their estimators. It is known both theoretically and in applications that incorporation of envelope methodology reduces asymptotic variability. We develop an envelope framework, including a new envelope estimator, that is appropriate for aster analyses. The level of precision provided from our methods allows researchers to draw stronger conclusions about the driving forces of Darwinian fitness from their life history analyses than they could with the aster model alone. Our methods are illustrated on a simulated dataset and a life history analysis of Mimulus guttatus flowers is provided. Useful variance reduction is obtained in both analyses.",
keywords = "Darwinian fitness, Envelope model, Fitness landscape, Parametric bootstrap",
author = "Eck, {Daniel J.} and Geyer, {Charles J.} and Cook, {R. Dennis}",
year = "2019",
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day = "1",
doi = "10.1016/j.jspi.2019.08.002",
language = "English (US)",
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journal = "Journal of Statistical Planning and Inference",
issn = "0378-3758",
publisher = "Elsevier",

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TY - JOUR

T1 - Combining envelope methodology and aster models for variance reduction in life history analyses

AU - Eck, Daniel J.

AU - Geyer, Charles J.

AU - Cook, R. Dennis

PY - 2019/1/1

Y1 - 2019/1/1

N2 - Precise estimation of expected Darwinian fitness, the expected lifetime number of offspring of organism, is a central component of life history analysis. The aster model serves as a defensible statistical model for distributions of Darwinian fitness. The aster model is equipped to incorporate the major life stages an organism travels through which separately may effect Darwinian fitness. Envelope methodology reduces asymptotic variability by establishing a link between unknown parameters of interest and the asymptotic covariance matrices of their estimators. It is known both theoretically and in applications that incorporation of envelope methodology reduces asymptotic variability. We develop an envelope framework, including a new envelope estimator, that is appropriate for aster analyses. The level of precision provided from our methods allows researchers to draw stronger conclusions about the driving forces of Darwinian fitness from their life history analyses than they could with the aster model alone. Our methods are illustrated on a simulated dataset and a life history analysis of Mimulus guttatus flowers is provided. Useful variance reduction is obtained in both analyses.

AB - Precise estimation of expected Darwinian fitness, the expected lifetime number of offspring of organism, is a central component of life history analysis. The aster model serves as a defensible statistical model for distributions of Darwinian fitness. The aster model is equipped to incorporate the major life stages an organism travels through which separately may effect Darwinian fitness. Envelope methodology reduces asymptotic variability by establishing a link between unknown parameters of interest and the asymptotic covariance matrices of their estimators. It is known both theoretically and in applications that incorporation of envelope methodology reduces asymptotic variability. We develop an envelope framework, including a new envelope estimator, that is appropriate for aster analyses. The level of precision provided from our methods allows researchers to draw stronger conclusions about the driving forces of Darwinian fitness from their life history analyses than they could with the aster model alone. Our methods are illustrated on a simulated dataset and a life history analysis of Mimulus guttatus flowers is provided. Useful variance reduction is obtained in both analyses.

KW - Darwinian fitness

KW - Envelope model

KW - Fitness landscape

KW - Parametric bootstrap

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