Area-heterogeneity tradeoff and the diversity of ecological communities.

For more than 50 y ecologists have believed that spatial heterogeneity in habitat conditions promotes species richness by increasing opportunities for niche partitioning. However, a recent stochastic model combining the main elements of niche theory and island biogeography theory suggests that environmental heterogeneity has a general unimodal rather than a positive effect on species richness. This result was explained by an inherent tradeoff between environmental heterogeneity and the amount of suitable area available for individual species: for a given area, as heterogeneity increases, the amount of effective area available for individual species decreases, thereby reducing population sizes and increasing the likelihood of stochastic extinctions. Here we provide a comprehensive evaluation of this hypothesis. First we analyze an extensive database of breeding bird distribution in Catalonia and show that patterns of species richness, species abundance, and extinction rates are consistent with the predictions of the area-heterogeneity tradeoff and its proposed mechanisms. We then perform a metaanalysis of heterogeneity-diversity relationships in 54 published datasets and show that empirical data better fit the unimodal pattern predicted by the area-heterogeneity tradeoff than the positive pattern predicted by classic niche theory. Simulations in which species may have variable niche widths along a continuous environmental gradient are consistent with all empirical findings. The area-heterogeneity tradeoff brings a unique perspective to current theories of species diversity and has important implications for biodiversity conservation.

A general framework for neutral models of community dynamics.

Neutral models of community dynamics are a powerful tool for ecological research, but their applications are currently limited to unrealistically simple types of dynamics and ignore much of the complexity that characterize natural ecosystems. Here, we present a new analytical framework for neutral models that unifies existing models of neutral communities and extends the applicability of existing models to a much wider spectrum of ecological phenomena. The new framework extends the concept of neutrality to fitness equivalence and in spite of its simplicity explains a wide spectrum of empirical patterns of species diversity including positive, negative and unimodal productivity-diversity relationships; gradual and highly delayed declines in species diversity with habitat loss; and positive and negative responses of species diversity to habitat heterogeneity. Surprisingly, the abundance distribution in all of these cases is given by the dispersal limited multinomial (DLM), the abundance distribution in Hubbell's zero-sum model, showing DLM's robustness and demonstrating that it cannot be used to infer the underlying community dynamics. These results support the hypothesis that ecological communities are regulated by a limited set of fundamental mechanisms much simpler than could be expected from their immense complexity.

Demographic analysis of Hubbell's neutral theory of biodiversity.

Hubbell's neutral model is increasingly applied in both theoretical and empirical studies but so far little attention has been paid to the ecological mechanisms that determine species diversity in neutral communities. In this contribution we use a stochastic individual-based Markovian model to provide an explicit derivation of Hubbell's local community model from the fundamental processes of reproduction, mortality, and immigration, and show that such derivation provides important insights on the mechanisms regulating species diversity that cannot be obtained from the original model and its previous extensions. One important insight is that the basic parameters of Hubbell's model, community size (J) and the probability that a dying individual will be replaced by an immigrant (m), cannot be considered independent and that their interdependency leads to a counterintuitive trade-off between community size and species diversity. We further demonstrate that Hubbell's treatment of community size as a free parameter hides fundamental mechanisms that influence species diversity through their effect on the size of the community. For example, while in Hubbell's model immigration can only increase species diversity by promoting colonization rates, the demographic derivation shows that immigration can also promote species diversity by reducing extinction rates. Our demographic derivation also unifies previous contrasting predictions about the effect of reproduction on species diversity by showing that both positive and negative effects are possible, and that the balance between the two effects depends on the size of the community. The demographic derivation also reconciles an apparent contradiction between Hubbell's theory and patch occupancy theory, and integrates three previously proposed mechanisms of species diversity, the More Individuals Hypothesis, the rescue effect, and the dilution effect, within a single, unified framework.

Integrating the effects of area, isolation, and habitat heterogeneity on species diversity: a unification of island biogeography and niche theory.

We present an analytical model that unifies two of the most influential theories in community ecology, namely, island biogeography and niche theory. Our model captures the main elements of both theories by incorporating the combined effects of area, isolation, stochastic colonization and extinction processes, habitat heterogeneity, and niche partitioning in a unified, demographically based framework. While classical niche theory predicts a positive relationship between species richness and habitat heterogeneity, our unified model demonstrates that area limitation and dispersal limitation (the main elements of island biogeography) may create unimodal and even negative relationships between species richness and habitat heterogeneity. We attribute this finding to the fact that increasing heterogeneity increases the potential number of species that may exist in a given area (as predicted by niche theory) but simultaneously reduces the amount of suitable area available for each species and, thus, increases the likelihood of stochastic extinction. Area limitation, dispersal limitation, and low reproduction rates intensify the latter effect by increasing the likelihood of stochastic extinction. These analytical results demonstrate that the integration of island biogeography and niche theory provides new insights about the mechanisms that regulate the diversity of ecological communities and generates unexpected predictions that could not be attained from any single theory.