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Evolutionary Theory and the Reality of Macro-Probabilities

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The Place of Probability in Science

Part of the book series: Boston Studies in the Philosophy of Science ((BSPS,volume 284))

Abstract

Evolutionary theory is awash with probabilities. For example, natural selection is said to occur when there is variation in fitness, and fitness is standardly decomposed into two components, viability and fertility, each of which is understood probabilistically. With respect to viability, a fertilized egg is said to have a certain chance of surviving to reproductive age; with respect to fertility, an adult is said to have an expected number of offspring.1 There is more to evolutionary theory than the theory of natural selection, and here too one finds probabilistic concepts aplenty. When there is no selection, the theory of neutral evolution says that a gene’s chance of eventually reaching fixation is 1/(2N), where N is the number of organisms in the generation of the diploid population to which the gene belongs. The evolutionary consequences of mutation are likewise conceptualized in terms of the probability per unit time a gene has of changing from one state to another. The examples just mentioned are all “forward-directed” probabilities; they describe the probability of later events, conditional on earlier events. However, evolutionary theory also uses “backwards probabilities” that describe the probability of a cause conditional on its effects; for example, coalescence theory allows one to calculate the expected number of generations in the past that the genes in the present generation find their most recent common ancestor.

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Acknowledgements

My thanks to Robert Brandon, Jeremy Butterfield, Juan Comesaña, Branden Fitelson, Patrick Forber, Malcolm Forster, Clark Glymour, Daniel Hausman, Thomas Hofweber, Marc Lange, Stephen Leeds, Hugh Mellor, Greg Novack, John Roberts, Alexander Rosenberg, Carolina Sartorio, Larry Shapiro, Christopher Stephens, Michael Strevens, and Jim Woodward for useful comments.

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Sober, E. (2010). Evolutionary Theory and the Reality of Macro-Probabilities. In: Eells, E., Fetzer, J. (eds) The Place of Probability in Science. Boston Studies in the Philosophy of Science, vol 284. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-3615-5_6

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