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  1. Community Ecology

    My early work on stochastic community models (McKane et al 2000) and metapopulation models (Alonso and McKane 2002) establishes a stochastic mathematical framework to analyze and model complex ecological interactions ("The Stochastic Nature of Ecological Interactions", PhD Thesis, Alonso 2004). My approach emphasizes the discrete nature of individuals and their inherent random interactions. Some of my most influential contributions to community ecology have been done in collaboration with Rampal Etienne from the University of Groningen. Our research emphasizes, on one side, the evolutionary nature of community assembly (Melian etal, submitted, Rosindell etal, submitted), and, on the other, the unavoidable sampling structure of ecological data (Etienne et al 2007). For instance, we have shown than typical ecological patterns, such as the distribution of species abundances, can be predicted from an underlying dynamical community model under different sampling assumptions (Alonso et al 2008). Simple stochastic dynamical models for communities present two advantages. First, they allow to study in detail the consequences of different models assumptions and, second, they can be used to generate testable predictions providing guidance for empirical studies.

    Evolutionary Assembly of Complex Networks

    At the University of Groningen, I have been involved in the co-supervision with Rampal Etienne of the PhD project of Francisco Encinas. This project seeks to understand the evolutionary assembly of complex mutualistic networks. Mutualistic communities can be represented by a two-layer network, for instance, a community of plants interacting with a community of pollinator insects. Many other ecological interactions can be represeted by two-layer networks. My VENI project (Alonso, 2007) uses also a two-layer network representation for a host-parasite community. The ultimate goal of both projects is to understand the evolution of network structure and its role in maintaining diversity in ecological communities.

    The Neutral Theory of Biodiversity

    Neutral theory explores the theoretical consequences of assuming that communities are evolutionarily shaped by random speciation and ecologically assembled by random dispersal and random ecological drift (Hubbell 2001, Thomson Special Topics, Etienne and Alonso 2007). In the context of this theory, we have shown that samples from any local community can be seen as a result of a dispersal-limited sampling from a larger biogeographical area (Alonso and McKane 2004, Etienne and Alonso 2005, Alonso et al 2006). This new formulation of sampling has applications both to community ecology and population genetics and provides a unifying theoretical framework where other factors beyond neutrality can be easily considered.

    Simple models for food web structure

    The topology of food webs is a major determinant of ecosystems dynamics and is ultimately responsible for their responses to human impacts (Allesina et al 2008). Several simple models have been proposed for the intricate food webs observed in nature. However, none of these previous models is fully compatible with food web data. Very often, the best way of testing and comparing alternative models is developing and calculating the probability that the model produces certain observed data set. Given inherent complexities, developing likelihood approaches for food web models is particularly challenging. In collaboration with Stefano Allesina and Mercedes Pascual, we have developed a method to identify observed trophic links that are incompatible with a given model and a likelihood approach to compare different simple models based on the full structure of the network. These results motivated a new general model that is able to generate all empirical data sets and does so with the highest likelihood. We hope that the derivation of the likelihood for simple models of network structure will contribute to a better understanding of the relationship between structure and dynamics of food webs (Allesina et al 2008).

  2. Dynamics of Infectious Diseases

    In collaboration with Alan McKane from the University of Manchester and Mercedes Pascual from the University of Michigan, I have been working on the effect of demographic stochasticity on the non-linear dynamics of infectious diseases. Our recent theoretical work "Stochastic Amplification in Epidemics" (Alonso et al 2007, reviewed by Frederic Guichard for Faculty of 1000 Biology) provides a novel quantitative description of stochastic fluctuations in epidemics. There is evidence that childhood diseases are clustered on specific regions of the parameter space. Due to inherent instabilities within these parameter domains, these infectious diseases appear to be prone to produce huge outbreaks. These fluctuations challenge control strategies. Our work is the first accurate quantitative characterization of strong coherent oscillations through endogenous stochastic resonance in real epidemiological systems. This phenomenon is also relevant to population oscillations in ecological systems in general.

    For the last years, I have been developing methods to analyze time series data for several infectious diseases. These historical records can potentially register the signal of environmental and climate change. The main goal of this ongoing research is to quantify the relative importance of stochasticity, seasonal or climatic forcing on the nonlinear dynamics of infectious diseases. Recently, I have visited University of Michigan several times. There, in collaboration with Mercedes Pascual, we have analyzed one of these time series of monthly malaria counts (1970-2003) from a tee plantation hospital in a Kenyan highland (Kericho, Kenya). Our modeling approach shows that slight increases in average temperatures due to climate change may have a strong non-linear effect on the number of observed malaria cases at the limits of mosquito spatial altitudinal distribution (Alonso, Bouma, and Pascual, in prep).

Conservation and Community Ecology, University of Groningen  
PO Box 14, 9750 AA Haren, The Netherlands
Phone: (+31) 50 363 2224
Fax: (+31) 50 363 2273

d.alonso@rug.nl