Tradeoffs between the strength of conformity and number of conformists in variable environments

Kandler, A. & Laland, K. N. (2013). Tradeoffs between the strength of conformity and number of conformists in variable environments. Journal of Theoretical Biology, 332, pp. 191-202. doi: 10.1016/j.jtbi.2013.04.023

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Organisms often respond to environmental change phenotypically, through learning strategies that enhance fitness in variable and changing conditions. But which strategies should we expect in population exposed to those conditions? We address this question by developing a mathematical model that specifies the consequences of different mixtures of individual and social learning strategies on the frequencies of different cultural variants in temporally and spatially changing environments. Assuming that alternative cultural variants are differently well-adapted to diverse environmental conditions, we are able to evaluate which mixture of learning strategies maximises the mean fitness of the population. We find that, even in rapidly changing environments, a high proportion of the population will always engage in social learning. In those environments, the highest adaptation levels are achieved through relatively high fractions of individual learning and a strong conformist bias. We establish a negative relationship between the proportion of the population learning socially and the strength of conformity operating in a population: strong conformity requires fewer conformists (i.e. larger proportion of individual learning), while many conformists can only be found when conformist transmission is weak. Investigations of cultural diversity show that in frequently changing environments high levels of adaptation require high level of cultural diversity. Finally, we demonstrate how the developed mathematical framework can be applied to time series of usage or occurrence data of cultural traits. Using Approximate Bayesian Computation we are able to infer information about the underlying learning processes that could have produced observed patterns of variation in the dataset.

Item Type: Article
Additional Information: NOTICE: this is the author’s version of a work that was accepted for publication in Journal of Theoretical Biology. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Journal of Theoretical Biology, Volume 332, 7 September 2013, Pages 191–202,
Uncontrolled Keywords: Social learning; Conformity; Environmental heterogeneity; Cultural diversity; Approximate Bayesian Computation
Subjects: Q Science > QA Mathematics
Q Science > QH Natural history > QH301 Biology
Divisions: School of Engineering & Mathematical Sciences > Department of Mathematical Science
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