{
  "id": "2202.10289",
  "version": "v1",
  "published": "2022-02-21T15:10:39.000Z",
  "updated": "2022-02-21T15:10:39.000Z",
  "title": "The Mathematics of Evolution: The Price Equation, Natural Selection, and Environmental Change",
  "authors": [
    "Tom LaGatta"
  ],
  "comment": "64 pages, appendix 11 pages",
  "categories": [
    "math.PR",
    "math.CA",
    "math.DS",
    "q-bio.PE"
  ],
  "abstract": "We extend George Price's evolutionary framework to the measure-theoretic and quantum cases, showing that all processes decompose into selective and environmental components. We further quantify selection and environmental change using entropy functionals: selective entropy is non-positive, representing biological negentropy, and environmental entropy is non-negative, representing physical entropy. We prove four Laws of Natural Selection, showing that selection consistently acts in a manner to increase selection, but which can be disrupted by environmental change.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-02-21T15:10:39.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "environmental change",
      "natural selection",
      "price equation",
      "extend george prices evolutionary framework",
      "mathematics"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 64,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}