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Conceptual figure of a random food web model a without and b with intraspecific variation. Letters next to arrows indicate the strength of that interaction. Food web models are used to build adjacency matrices for food webs c without and d with intraspecific variation. When intraspecific variation is added to food webs, predator-prey interactions and self-limitation remain unchanged while competition within species varies among genotypes and species

Conceptual figure of a random food web model a without and b with intraspecific variation. Letters next to arrows indicate the strength of that interaction. Food web models are used to build adjacency matrices for food webs c without and d with intraspecific variation. When intraspecific variation is added to food webs, predator-prey interactions and self-limitation remain unchanged while competition within species varies among genotypes and species

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Although the effects of species diversity on food web stability have long been recognized, relatively little is known about the influence of intraspecific diversity. Empirical work has found that intraspecific diversity can increase community resilience and resistance, but few theoretical studies have attempted to use modeling approaches to determi...

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... built on that model by adding intraspecific diversity to each interaction matrix ( Fig. 1), following similar methods to those used to establish interspecific interactions. Although we will use the term "genotypes" to refer to intraspecific diversity throughout this paper, our results apply equally well to ecotypes or any other form of variation within species. We added a row and column to the food web matrix for each ...
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... methods to those used to establish interspecific interactions. Although we will use the term "genotypes" to refer to intraspecific diversity throughout this paper, our results apply equally well to ecotypes or any other form of variation within species. We added a row and column to the food web matrix for each additional genotype in each species (Fig. 1d). For simplicity, intraspecific variation was only added to interaction coefficients governing competition between genotypes of the same species, not to predator-prey interactions among species. Specifically, if there was a predator-prey interaction between two species in the original food web matrix without intraspecific diversity, ...
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... genotypes of the same species, not to predator-prey interactions among species. Specifically, if there was a predator-prey interaction between two species in the original food web matrix without intraspecific diversity, all genotypes of those two species interacted according to the same α ij where i and j represent species (not genotype) identity (Fig. 1). As in May's model, the diagonal elements (here, intragenotype competition) were constant for all genotypes and species. For intraspecific competition among genotypes, interaction strengths were either 0 or a random value with probability 1 -C or C, respectively, to remain consistent with the way species interactions were assigned. The ...
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... intraspecific competition among genotypes, interaction strengths were either 0 or a random value with probability 1 -C or C, respectively, to remain consistent with the way species interactions were assigned. The results based on this scheme hold when all genotypes within a species are allowed to interact with each other, rather than interactions being assigned with probability C, although trends are more difficult to discern as the effect of genotypic richness is more extreme (Supplementary Fig. 1). Hence, our results are robust to the specific scheme used to determine whether genotypes are allowed to interact. ...
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... is unlikely to be due purely to an increase in complexity as models with the same number of taxonomic units (e.g., S = 40 and G = 1 compared with S = 10 and G = 4; Fig. 2), and hence the same number of interactions, were consistently less stable when G was large than when S was. This may be partly because greater genotypic richness shifted the relative balance of inter-and intragenotype competition towards greater relative strength of intergenotype competition in our model ( Supplementary Table 1), which was destabilizing. Empirical work will be required to determine whether or not that shift occurs in real systems. ...

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