Statistical mechanics and population biology

DOI10.1007/BF01009685zbMath0588.60097MaRDI QIDQ1073467

Lloyd A. Demetrius

Publication date: 1983

Published in: Journal of Statistical Physics (Search for Journal in Brave)

zbMATH Keywords

entropyphase transitionstatistical mechanicsGibbs measuresdensity dependenceMalthusian parametereffective sizeadaptive value

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Classical equilibrium statistical mechanics (general) (82B05)

Related Items

The rate of convergence of a generalized stable population, Directionality theory and the second law of thermodynamics, Separable models for age-structured population genetics, Complexity and demographic stability in population models, Growth rate, population entropy, and perturbation theory, Complexity and Stability in Biological Systems, Thermodynamics in a hierarchically organized system: microcanonical ensembles with non-equiprobable states, Variational characterization of multitype Galton-Watson branching processes, The origin of allometric scaling laws in biology, Darwinian fitness and the intensity of natural selection: studies in sensitivity analysis, Leslie matrix models, Darwinian fitness, Growth rate, population entropy, and evolutionary dynamics, Microcanonical ensembles with non-equiprobable states. Part 2: Applications to empirical and theoretical distributions, Boltzmann, Darwin and directionality theory, On self-organization processes in microcanonical ensembles with non-equiprobable states, Game theory and evolution: Finite size and absolute fitness measures, Synchrony in reaction–diffusion models of morphogenesis: applications to curvature-dependent proliferation and zero-diffusion front waves, Mutation-selection balance: ancestry, load, and maximum principle, Statistical mechanics unifies different ecological patterns, Asymptotic properties of infinite Leslie matrices, Demography and the canonical ensemble, Evolutionary entropy: a predictor of body size, metabolic rate and maximal life span, Unnamed Item, Polynucleotide evolution and branching processes, Quantum statistics and allometric scaling of organisms

Cites Work

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• Un exemple de transition de phase
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• Demographic Parameters and Natural Selection
• A Variational Principle for the Pressure of Continuous Transformations
• Measures of fitness and demographic stability.
• ON THE USE OF MATRICES IN CERTAIN POPULATION MATHEMATICS
• Equilibrium states and the ergodic theory of Anosov diffeomorphisms
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