The generalized Price equation: Forces that change population statistics
dc.contributor.author | Frank, SA | |
dc.contributor.author | Godsoe, William | |
dc.date.accessioned | 2021-06-02T02:04:34Z | |
dc.date.issued | 2020-03-23 | |
dc.description.abstract | The Price equation partitions the change in the expected value of a population measure. The first component describes the partial change caused by altered frequencies. The second component describes the partial change caused by altered measurements. In biology, frequency changes often associate with the direct effect of natural selection. Measure changes reflect processes during transmission that alter trait values. More broadly, the two components describe the direct forces that change population composition and the altered frame of reference that changes measured values. The classic Price equation is limited to population statistics that can expressed as the expected value of a measure. Many statistics cannot be expressed as expected values, such as the harmonic mean and the family of rescaled diversity measures. We generalize the Price equation to any population statistic that can be expressed as a function of frequencies and measurements. We obtain the generalized partition between the direct forces that cause frequency change and the altered frame of reference that changes measurements. | |
dc.format.extent | 4 pages | |
dc.identifier | https://arxiv.org/abs/2003.08976v1 | |
dc.identifier.doi | 10.1101/2020.03.19.999052 | |
dc.identifier.uri | https://hdl.handle.net/10182/13859 | |
dc.language.iso | en | |
dc.publisher | Cold Spring Harbor Laboratory | |
dc.relation | The original publication is available from Cold Spring Harbor Laboratory - https://doi.org/10.1101/2020.03.19.999052 - http://dx.doi.org/10.1101/2020.03.19.999052 | |
dc.relation.isPartOf | bioRxiv | |
dc.relation.uri | https://doi.org/10.1101/2020.03.19.999052 | |
dc.rights | © The authors | |
dc.rights.ccname | Attribution | |
dc.rights.ccuri | https://creativecommons.org/licenses/by/4.0/ | |
dc.subject | evolution | |
dc.subject | population | |
dc.subject | Price equation | |
dc.subject.anzsrc | ANZSRC::0104 Statistics | |
dc.subject.anzsrc | ANZSRC::010402 Biostatistics | |
dc.subject.anzsrc2020 | ANZSRC::440305 Population trends and policies | |
dc.subject.anzsrc2020 | ANZSRC::310307 Population ecology | |
dc.subject.anzsrc2020 | ANZSRC::490599 Statistics not elsewhere classified | |
dc.title | The generalized Price equation: Forces that change population statistics | |
dc.type | Preprint Server Paper | |
lu.contributor.unit | Lincoln University | |
lu.contributor.unit | Faculty of Agriculture and Life Sciences | |
lu.contributor.unit | Department of Pest Management and Conservation | |
lu.identifier.orcid | 0000-0003-1697-6916 | |
pubs.notes | Posted on arXiv 19 March 2020 https://arxiv.org/abs/2003.08976 | |
pubs.publication-status | Published online | |
pubs.publisher-url | http://dx.doi.org/10.1101/2020.03.19.999052 |
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