title: Organismal complexity and the potential for evolutionary diversification.
abstract: We present two theoretical approaches to investigate whether organismal complexity, defined as the number of quantitative traits determining fitness, and the potential for adaptive diversification are correlated. The first approach is independent of any specific ecological model and based on curvature properties of the fitness landscape as a function of the dimension of the trait space. This approach indeed suggests a positive correlation between complexity and diversity. An assumption made in this first approach is that the potential for any pair of traits to interact in their effect on fitness is independent of the dimension of the trait space. In the second approach, we circumvent making this assumption by analyzing the evolutionary dynamics in an explicit consumer-resource model in which the shape of the fitness landscape emerges from the underlying mechanistic ecological model. In this model, consumers are characterized by several quantitative traits and feed on a multidimensional resource distribution. The consumer's feeding efficiency on the resource is determined by the match between consumer phenotype and resource item. This analysis supports a positive correlation between the complexity of the evolving consumer species and its potential to diversify with the additional insight that also increasing resource complexity facilitates diversification.
authors.affiliation: Mathematics and Biosciences Group, , Department of Mathematics,  University of Vienna, Oskar-Morgenstern Platz 1, 1090, Vienna, Austria; Gregor Mendel Institute,  Austrian Academy of Sciences, 1030, Vienna, Austria.
authors.forename: Hannes
authors.initials: H
authors.lastname: Svardal
authors.forename: Claus
authors.initials: C
authors.lastname: Rueffler
authors.forename: Michael
authors.initials: M
authors.lastname: Doebeli
mesh_terms: D005075:Biological Evolution; D056084:Genetic Fitness; D014644:Genetic Variation; D005828:Genetics, Population; D008957:Models, Genetic; D009154:Mutation
keywords: Adaptive dynamics; consumer-resource model; evolutionary branching; frequency dependence; genetic polymorphism; multidimensional trait space