eprintid: 48292 rev_number: 6 eprint_status: archive userid: 1482 importid: 105 dir: disk0/00/04/82/92 datestamp: 2023-10-03 07:26:46 lastmod: 2023-10-03 07:26:46 status_changed: 2023-10-03 07:26:46 type: monograph metadata_visibility: show creators_name: Mullon, Charles creators_name: Peña, Jorge creators_name: Lehmann, Laurent creators_idrefppn: 260087777 creators_halaffid: 1002422 title: Evolution of environmentally mediated social interactions under isolation by distance ispublished: pub subjects: subjects_ECO abstract: Many social interactions happen indirectly via modifications of environmental variables, e.g. through the depletion of renewable resources or the secretion of functional compounds. Here, we derive the selection gradient on a quantitative trait affecting the dynamics of such environmental vari-ables that feedback on reproduction and survival in a patch-structured population that is finite, of con-stant size, and subject to isolation by distance. Our analysis shows that the selection gradient depends on how a focal individual influences the fitness of all future individuals in the population through modifications of the environmental variables they experience, weighted by the neutral relatedness be-tween recipients and the focal. The evolutionarily relevant trait-driven environmental modifications are formalized as the extended phenotypic effects of an individual, which quantify how a trait change in the individual in the present affects the environmental variables in all patches at all future times. When the trait affects reproduction and survival through some payoff function, the selection gradient can be expressed in terms of extended phenotypic effects weighted by scaled-relatedness coefficients. We show how to compute extended phenotypic effects, relatedness, and scaled-relatedness coefficients using Fourier analysis, allowing us to investigate a broad class of environmentally mediated social in-teractions in a tractable way. We illustrate our approach by studying the evolution of a trait controlling the costly production of some lasting commons (e.g. a common-pool resource or a toxic compound) that can diffuse in space. We show that whether selection favours environmentally mediated altruism or spite depends on the spatial correlation between an individual’s lineage and the commons originat-ing from its patch. The sign of this correlation depends on interactions between dispersal patterns and the commons’ renewal dynamics. More broadly, we suggest that selection can favour a wide range of social behaviours when these are mediated in space and time through environmental feedback. date: 2023-10 date_type: published publisher: TSE Working Paper official_url: http://tse-fr.eu/pub/128560 faculty: tse divisions: tse keywords: Adaptive dynamics keywords: Metacommunity keywords: Extended Phenotype keywords: Altruism keywords: Spite language: en has_fulltext: TRUE view_date_year: 2023 full_text_status: public monograph_type: working_paper series: TSE Working Paper volume: 23-1476 place_of_pub: Toulouse pages: 62 institution: Université Toulouse Capitole department: Toulouse School of Economics book_title: TSE Working Paper oai_identifier: oai:tse-fr.eu:128560 harvester_local_overwrite: pending harvester_local_overwrite: creators_idrefppn harvester_local_overwrite: creators_halaffid harvester_local_overwrite: department harvester_local_overwrite: pages harvester_local_overwrite: place_of_pub harvester_local_overwrite: institution oai_lastmod: 2023-10-02T14:02:49Z oai_set: tse site: ut1 citation: Mullon, Charles, Peña, Jorge and Lehmann, Laurent (2023) Evolution of environmentally mediated social interactions under isolation by distance. TSE Working Paper, n. 23-1476, Toulouse document_url: https://publications.ut-capitole.fr/id/eprint/48292/1/wp_tse_1476.pdf