Mathematical Structure of Evolutionary Theory

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dc.creatorAo, P.
dc.date2004-03-15
dc.date.accessioned2026-07-07T05:58:18Z
dc.date.available2026-07-07T05:58:18Z
dc.descriptionHere we postulate three laws which form a mathematical framework to capture the essence of Darwinian evolutionary dynamics. The second law is most quantitative and is explicitly expressed by a unique form of stochastic differential equation. A precise definition of Wright's adaptive landscape is given and a new and consistent interpretation of Fisher's fundamental theorem of natural selection is provided. Based on a recently discovered theorem the generality of the proposed laws is illustrated by an explicit demonstration of their equivalence to a general conventional non-equilibrium dynamics formulation. The proposed laws provide a coherence framework to discuss several current evolutionary problems, such as speciation and stability, and gives a firm base for the application of statistical physics tools in Darwinian dynamics.
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/q-bio/0403020
dc.identifierhttp://arxiv.org/abs/q-bio/0403020
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/88307
dc.subjectQuantitative Methods
dc.subjectStatistical Mechanics
dc.subjectDynamical Systems
dc.subjectAdaptation and Self-Organizing Systems
dc.subjectPopulations and Evolution
dc.titleMathematical Structure of Evolutionary Theory
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