{"id":"palomar/PALOMAR-2026-10-29-000032","url":"https://github.com/cenozoic-works/rhone-theory/tree/40430cc1c60bb35b2b4872a6c9583b71cc363e7a","json":"https://data.palomar-registry.org/entries/PALOMAR-2026-10-29-000032-v1.json","repo":"https://github.com/cenozoic-works/rhone-theory","tags":["q-bio.PE","math.PR","msc:92D15","msc:92D10","msc:60J10","msc:62J05"],"score":0,"title":"Classical identities and a limit theorem of selection theory","trust":"high","domain":"q-bio.PE","source":"palomar","authors":["X. Lee","N. Volkov"],"reviews":0,"subject":"q-bio.PE","summary":"This entry collects classical identities and a limit theorem from selection theory. The identities are stated for finite populations; Geiringer's limit theorem is stated for the deterministic infinite-population recombination model on finitely many loci with a common finite allele set. Fisher's fundamental theorem is stated, in Ewens' interpretation, as the equality of the partial change in mean fitness (the change in allele frequencies under selection, weighted by least-squares average effects) with the additive genetic variance divided by mean fitness, for arbitrary genotype frequencies…","category":"research","comments":0,"disputed":false,"division":"q-bio","mentions":0,"verified":true,"discussed":0,"published":"2026-10-29","reactions":{},"formalized":true,"formalizes":[{"title":"An interpretation and proof of the fundamental theorem of natural selection","identifier":"doi:10.1016/0040-5809(89)90028-2","relationship":"formalizes"},{"title":"On the interpretation and relevance of the Fundamental Theorem of Natural Selection","identifier":"doi:10.1016/j.tpb.2015.07.002","relationship":"formalizes"},{"title":"Extension of covariance selection mathematics","identifier":"doi:10.1111/j.1469-1809.1957.tb01874.x","relationship":"formalizes"},{"title":"The measurement of selection on correlated characters","identifier":"doi:10.2307/2408842","relationship":"formalizes"},{"title":"On the Probability Theory of Linkage in Mendelian Heredity","identifier":"doi:10.1214/aoms/1177731313","relationship":"adapts"}]}