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1
Price's equation made clear.普赖斯方程阐明了这一点。
Philos Trans R Soc Lond B Biol Sci. 2020 Apr 27;375(1797):20190361. doi: 10.1098/rstb.2019.0361. Epub 2020 Mar 9.
2
When science mirrors life: on the origins of the Price equation.当科学映照生活:Price 方程的起源
Philos Trans R Soc Lond B Biol Sci. 2020 Apr 27;375(1797):20190352. doi: 10.1098/rstb.2019.0352. Epub 2020 Mar 9.
3
The Price equation and evolutionary epidemiology.价格方程与进化流行病学。
Philos Trans R Soc Lond B Biol Sci. 2020 Apr 27;375(1797):20190357. doi: 10.1098/rstb.2019.0357. Epub 2020 Mar 9.
4
Universal rules for the interaction of selection and transmission in evolution.进化中选择与传播相互作用的普遍规则。
Philos Trans R Soc Lond B Biol Sci. 2020 Apr 27;375(1797):20190353. doi: 10.1098/rstb.2019.0353. Epub 2020 Mar 9.
5
George Price's contributions to evolutionary genetics.乔治·普莱斯对进化遗传学的贡献。
J Theor Biol. 1995 Aug 7;175(3):373-88. doi: 10.1006/jtbi.1995.0148.
6
The Price equation as a bridge between animal breeding and evolutionary biology.价格方程作为动物育种学和进化生物学之间的桥梁。
Philos Trans R Soc Lond B Biol Sci. 2020 Apr 27;375(1797):20190360. doi: 10.1098/rstb.2019.0360. Epub 2020 Mar 9.
7
Group selection and inclusive fitness are not equivalent; the Price equation vs. models and statistics.群体选择和适合度包容性并不等同;普莱斯方程与模型和统计学的比较。
J Theor Biol. 2012 Apr 21;299:64-80. doi: 10.1016/j.jtbi.2011.07.025. Epub 2011 Aug 7.
8
A stochastic version of the Price equation reveals the interplay of deterministic and stochastic processes in evolution.普赖斯方程的一个随机版本揭示了进化过程中确定性过程与随机过程的相互作用。
BMC Evol Biol. 2008 Sep 25;8:262. doi: 10.1186/1471-2148-8-262.
9
The Price equation and the unity of social evolution theory.价格方程与社会进化理论的统一。
Philos Trans R Soc Lond B Biol Sci. 2020 Apr 27;375(1797):20190362. doi: 10.1098/rstb.2019.0362. Epub 2020 Mar 9.
10
Simple unity among the fundamental equations of science.科学基本方程的简单统一。
Philos Trans R Soc Lond B Biol Sci. 2020 Apr 27;375(1797):20190351. doi: 10.1098/rstb.2019.0351. Epub 2020 Mar 9.

引用本文的文献

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A generalized Price equation for fuzzy set-mappings.模糊集映射的广义普赖斯方程。
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On Non-Random Mating, Adaptive Evolution, and Information Theory.论非随机交配、适应性进化与信息论
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Multiscale selection in spatially structured populations.空间结构种群中的多尺度选择。
Proc Biol Sci. 2024 May;291(2023):20232559. doi: 10.1098/rspb.2023.2559. Epub 2024 May 29.
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Evolution of the connectivity and indispensability of a transferable gene: the simplicity hypothesis.可转移基因的连通性和不可或缺性的演变:简单性假说。
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Kin selection theory and the design of cooperative crops.亲缘选择理论与合作作物的设计
Evol Appl. 2022 Jun 14;15(10):1555-1564. doi: 10.1111/eva.13418. eCollection 2022 Oct.
7
Natural Selection beyond Life? A Workshop Report.超越生命的自然选择?研讨会报告
Life (Basel). 2021 Oct 7;11(10):1051. doi: 10.3390/life11101051.
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Cultural selection and biased transformation: two dynamics of cultural evolution.文化选择与有偏传播:文化进化的两种动力。
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Why genetic selection to reduce the prevalence of infectious diseases is way more promising than currently believed.为什么通过遗传选择来降低传染病的流行率比目前人们认为的更有前景。
Genetics. 2021 Apr 15;217(4). doi: 10.1093/genetics/iyab024.
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How Soon Hath Time… A History of Two "Seminal" Publications.时光荏苒……两篇“开创性”文献的历史。
Cells. 2021 Feb 1;10(2):287. doi: 10.3390/cells10020287.

本文引用的文献

1
The Price Equation Program: Simple Invariances Unify Population Dynamics, Thermodynamics, Probability, Information and Inference.价格方程程序:简单不变性统一种群动态、热力学、概率、信息与推理。
Entropy (Basel). 2018 Dec 16;20(12):978. doi: 10.3390/e20120978.
2
More on the genetical theory of multilevel selection.关于多级选择的遗传理论的更多内容。
J Evol Biol. 2015 Sep;28(9):1747-51. doi: 10.1111/jeb.12684. Epub 2015 Aug 12.
3
The genetical theory of multilevel selection.多级选择的遗传理论。
J Evol Biol. 2015 Feb;28(2):305-19. doi: 10.1111/jeb.12566. Epub 2015 Jan 6.
4
Group selection and inclusive fitness are not equivalent; the Price equation vs. models and statistics.群体选择和适合度包容性并不等同;普莱斯方程与模型和统计学的比较。
J Theor Biol. 2012 Apr 21;299:64-80. doi: 10.1016/j.jtbi.2011.07.025. Epub 2011 Aug 7.
5
The genetical theory of kin selection.亲缘选择的遗传学理论。
J Evol Biol. 2011 May;24(5):1020-43. doi: 10.1111/j.1420-9101.2011.02236.x. Epub 2011 Mar 4.
6
The group selection controversy.群体选择争议。
J Evol Biol. 2010 Jan;23(1):6-19. doi: 10.1111/j.1420-9101.2009.01876.x. Epub 2009 Nov 26.
7
Using the Price Equation to partition the effects of biodiversity loss on ecosystem function.利用价格方程划分生物多样性丧失对生态系统功能的影响。
Ecology. 2006 Nov;87(11):2687-96. doi: 10.1890/0012-9658(2006)87[2687:utpetp]2.0.co;2.
8
Optimization of inclusive fitness.广义适合度的优化。
J Theor Biol. 2006 Feb 7;238(3):541-63. doi: 10.1016/j.jtbi.2005.06.009. Epub 2005 Jul 25.
9
Developments of the Price equation and natural selection under uncertainty.价格方程与不确定性下自然选择的发展
Proc Biol Sci. 2000 Jun 22;267(1449):1223-7. doi: 10.1098/rspb.2000.1131.
10
The nature of selection. (Written circa 1971, published posthumously).选择的本质。(写于约1971年,死后出版)
J Theor Biol. 1995 Aug 7;175(3):389-96. doi: 10.1006/jtbi.1995.0149.

普赖斯方程阐明了这一点。

Price's equation made clear.

机构信息

School of Biology, University of St Andrews, Greenside Place, St Andrews KY16 9TH, UK.

出版信息

Philos Trans R Soc Lond B Biol Sci. 2020 Apr 27;375(1797):20190361. doi: 10.1098/rstb.2019.0361. Epub 2020 Mar 9.

DOI:10.1098/rstb.2019.0361
PMID:32146889
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC7133504/
Abstract

Price's equation provides a very simple-and very general-encapsulation of evolutionary change. It forms the mathematical foundations of several topics in evolutionary biology, and has also been applied outwith evolutionary biology to a wide range of other scientific disciplines. However, the equation's combination of simplicity and generality has led to a number of misapprehensions as to what it is saying and how it is supposed to be used. Here, I give a simple account of what Price's equation is, how it is derived, what it is saying and why this is useful. In particular, I suggest that Price's equation is useful not primarily as a predictor of evolutionary change but because it provides a general theory of selection. As an illustration, I discuss some of the insights Price's equation has brought to the study of social evolution. This article is part of the theme issue 'Fifty years of the Price equation'.

摘要

普莱斯方程非常简单且非常通用,它概括了进化变化。它为进化生物学中的几个主题提供了数学基础,并且已经被应用于进化生物学以外的许多其他科学学科。然而,该方程的简单性和通用性导致了对其含义和使用方式的一些误解。在这里,我将简单介绍一下普莱斯方程是什么、它是如何推导出来的、它在说什么以及为什么这很有用。特别是,我认为普莱斯方程的主要用途不是预测进化变化,而是因为它提供了一种选择的一般理论。作为一个例子,我讨论了普莱斯方程在社会进化研究中带来的一些见解。本文是主题为“普莱斯方程五十年”的一部分。