An evolutionary model that satisfies detailed balance
- Submitting institution
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Royal Holloway and Bedford New College
- Unit of assessment
- 11 - Computer Science and Informatics
- Output identifier
- 39565955
- Type
- D - Journal article
- DOI
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10.1007/s11009-020-09835-5
- Title of journal
- Methodology and Computing in Applied Probability
- Article number
- -
- First page
- 1
- Volume
- 0
- Issue
- -
- ISSN
- 1573-7713
- Open access status
- Compliant
- Month of publication
- November
- Year of publication
- 2020
- URL
-
-
- Supplementary information
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- Request cross-referral to
- -
- Output has been delayed by COVID-19
- No
- COVID-19 affected output statement
- -
- Forensic science
- No
- Criminology
- No
- Interdisciplinary
- No
- Number of additional authors
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1
- Research group(s)
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-
- Citation count
- 0
- Proposed double-weighted
- No
- Reserve for an output with double weighting
- No
- Additional information
- This paper introduces a new, finite-population evolutionary model, which is the first model of 'sexual' evolution that satisfies detailed balance for arbitrary fitness functions. This puts sexual evolution and genetic algorithms clearly in the context of MCMC, and allows the stationary distribution to be given in closed form. We proved some basic properties of the phase diagram of an arbitrary evolutionary process, in terms of population size, fitness scaling, and mutation rate: these results are new. This work opens the way to apply non-equilibrium thermodynamic methods to analysing evolution of finite populations.
- Author contribution statement
- -
- Non-English
- No
- English abstract
- -