title: Regression, least squares, and the general version of inclusive fitness.
abstract: A general version of inclusive fitness based on regression is rederived with minimal mathematics and directly from the verbal interpretation of its terms that motivated the original formulation of the inclusive fitness concept. This verbal interpretation is here extended to provide the two relationships required to determine the two coefficients -c and b. These coefficients retain their definition as expected effects on the fitness of an individual, respectively of a change in allelic state of this individual, and of correlated change in allelic state of social partners. The known least-squares formulation of the relationships determining b and c can be immediately deduced and shown to be equivalent to this new formulation. These results make clear that criticisms of the mathematical tools (in particular least-squares regression) previously used to derive this version of inclusive fitness are misdirected.
authors.affiliation: Institut des Sciences de l'Évolution, University of Montpellier, CNRS, IRD, EPHE CC 065, Place E. Bataillon, 34095 Montpellier cedex 05, France. francois.rousset@univ-montp2.fr.
authors.forename: François
authors.initials: F
authors.lastname: Rousset
mesh_terms: D000483:Alleles; D056084:Genetic Fitness; D016018:Least-Squares Analysis; D008957:Models, Genetic
keywords: Altruism; Hamilton's rule; evolutionary game theory; personal fitness; synergies