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Personal bibliography of
Kenneth Willcox Wachter
[ CalNetDS
- MGP
- MathScinet
]
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Found 3 works of type " UNPUBLISHED"
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Kenneth W. Wachter, David R. Steinsaltz and Steven N. Evans
Vital Rates and the Action of Mutation Accumulation
Unpublished (2008).
[GScholar?]
[arXiv]
[BibTeX]
Abstract: New models for evolutionary processes of mutation accumulation allow hypotheses about the age-specificity of mutational effects to be translated into predictions of heterogeneous population hazard functions. We apply these models to questions in the biodemography of longevity, including proposed explanations of Gompertz hazards and mortality plateaus, and use them to explore the possibility of melding evolutionary and functional models of aging.
@unpublished{KWWload,
TITLE = {Vital Rates and the Action of Mutation Accumulation},
AUTHOR = {Kenneth W. Wachter and David R. Steinsaltz and Steven N. Evans},
ID = {info:oai/arXiv.org:0808.3622},
YEAR = {2008},
ABSTRACT = {New models for evolutionary processes of mutation accumulation
allow hypotheses about the age-specificity of mutational effects to
be translated into predictions of heterogeneous population hazard
functions. We apply these models to questions in the biodemography
of longevity, including proposed explanations of Gompertz hazards
and mortality plateaus, and use them to explore the possibility of
melding evolutionary and functional models of aging.},
}
-
Kenneth W. Wachter, Steven N. Evans and David R. Steinsaltz
The Age-Specific Force of Natural Selection and Walls of Death
Unpublished (2008).
[GScholar?]
[arXiv]
[BibTeX]
Abstract: W.D. Hamilton's celebrated formula for the age-specific force of natural selection furnishes predictions for senescent mortality due to mutation accumulation, at the price of reliance on a linear approximation. Applying to Hamilton's setting the full non-linear demographic model for mutation accumulation of Evans et al. (2007), we find surprising differences. Non-linear interactions cause the collapse of Hamilton-style predictions in the most commonly studied case, refine predictions in other cases, and allow Walls of Death at ages before the end of reproduction. Haldane's Principle for genetic load has an exact but unfamiliar generalization.
@unpublished{KWWwalls,
TITLE = {The Age-Specific Force of Natural Selection and Walls of Death},
AUTHOR = {Kenneth W. Wachter and Steven N. Evans and David R. Steinsaltz},
ID = {info:oai/arXiv.org:0807.0483},
YEAR = {2008},
ABSTRACT = {W.D. Hamilton's celebrated formula for the age-specific force of
natural selection furnishes predictions for senescent mortality due
to mutation accumulation, at the price of reliance on a linear
approximation. Applying to Hamilton's setting the full non-linear
demographic model for mutation accumulation of Evans et al. (2007),
we find surprising differences. Non-linear interactions cause the
collapse of Hamilton-style predictions in the most commonly studied
case, refine predictions in other cases, and allow Walls of Death
at ages before the end of reproduction. Haldane's Principle for
genetic load has an exact but unfamiliar generalization.},
}
-
Steven N. Evans, David R. Steinsaltz and Kenneth W. Wachter
A mutation-selection model for general genotypes with recombination
Unpublished (2007).
[GScholar?]
[arXiv]
[BibTeX]
Abstract: A probability model is presented for the dynamics of mutation- selection balance in a infinite-population infinite-sites setting sufficiently general to cover mutation-driven changes in full age- specific demographic schedules. An earlier work by the same authors presented a haploid model -- without genetic recombination -- of similar scope. This work complements that model, adding genetic recombination, based on a well-known general discrete-population genetic model of N. Barton and M. Turelli. The model with recombination is a flow on Poisson intensities, substantially different from the haploid model. It is shown that the new model arises from the haploid model when recombination is added, in the limit as generations per unit time go to infinity, and selection strength and mutation per generation go to 0.
@unpublished{KWWdiploid,
TITLE = {A mutation-selection model for general genotypes with recombination},
AUTHOR = {Steven N. Evans and David R. Steinsaltz and Kenneth W. Wachter},
ID = {info:oai/arXiv.org:q-bio.PE/0609046},
YEAR = {2007},
ABSTRACT = {A probability model is presented for the dynamics of mutation-
selection balance in a infinite-population infinite-sites setting
sufficiently general to cover mutation-driven changes in full age-
specific demographic schedules. An earlier work by the same authors
presented a haploid model -- without genetic recombination -- of
similar scope. This work complements that model, adding genetic
recombination, based on a well-known general discrete-population
genetic model of N. Barton and M. Turelli. The model with
recombination is a flow on Poisson intensities, substantially
different from the haploid model. It is shown that the new model
arises from the haploid model when recombination is added, in the
limit as generations per unit time go to infinity, and selection
strength and mutation per generation go to 0.},
}
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