The Generalized Price Equation: Forces That Change Population Statistics
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...
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doaj-e2aa760b3af14311a45a1119d7da82142020-11-25T04:01:41ZengFrontiers Media S.A.Frontiers in Ecology and Evolution2296-701X2020-08-01810.3389/fevo.2020.00240555942The Generalized Price Equation: Forces That Change Population StatisticsSteven A. Frank0William Godsoe1Department of Ecology and Evolutionary Biology, University of California, Irvine, Irvine, CA, United StatesBio-Protection Research Centre, Lincoln University, Lincoln, New ZealandThe 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 be 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.https://www.frontiersin.org/article/10.3389/fevo.2020.00240/fullevolutionary theorydiversity indicespopulation dynamicsgeneralized meanpopulation statistics |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Steven A. Frank William Godsoe |
spellingShingle |
Steven A. Frank William Godsoe The Generalized Price Equation: Forces That Change Population Statistics Frontiers in Ecology and Evolution evolutionary theory diversity indices population dynamics generalized mean population statistics |
author_facet |
Steven A. Frank William Godsoe |
author_sort |
Steven A. Frank |
title |
The Generalized Price Equation: Forces That Change Population Statistics |
title_short |
The Generalized Price Equation: Forces That Change Population Statistics |
title_full |
The Generalized Price Equation: Forces That Change Population Statistics |
title_fullStr |
The Generalized Price Equation: Forces That Change Population Statistics |
title_full_unstemmed |
The Generalized Price Equation: Forces That Change Population Statistics |
title_sort |
generalized price equation: forces that change population statistics |
publisher |
Frontiers Media S.A. |
series |
Frontiers in Ecology and Evolution |
issn |
2296-701X |
publishDate |
2020-08-01 |
description |
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 be 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. |
topic |
evolutionary theory diversity indices population dynamics generalized mean population statistics |
url |
https://www.frontiersin.org/article/10.3389/fevo.2020.00240/full |
work_keys_str_mv |
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