"A BES Grant helped us undertake an urgent population and habitat assessment of the Critically Endangered pygmy three-toed sloth."

Craig Turner Research Grant recipient

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Oral Session 37: Mathematical Ecology and Methods

Tuesday 18 December

Add 11:15 The ecology of 'junk' DNA: A model for the dynamics of endogenous retroviruses
    Tim Coulson (Imperial College London), Ravinder Kanda (Imperial College London)
   

Vertebrate DNA is littered with the signatures of past retroviral infections.  Surprisingly, there is little evidence of active endogenous retroviruses.  Using modelling tools from ecology we ask the question why does so much of the vertebrate genome consist of signatures of past epidemics?  Our work reveals how ecological methods can be used to address questions that ecologists rarely think about.

Add 11:30 Effects of a disease on the dynamics and stability of a stage structured population model
    Maarten Boerlijst (Institute for Biodiversity and Ecosystem Dynamics - University of Amsterdam)
   

We explore the effects of adding a disease to a stage structured population model with a bottleneck in maturation. The disease can specifically target one ontogenetic stage, or it can affect all stages. We vary disease parameters such as infectiousness and virulence, and we consider cases where the disease decreases fecundity or slows down maturation.

Add 11:45 Endoscopy as a novel method for assessing endoparasite burdens in free-ranging European shags (Phalacrocorax aristotelis)
    Sarah Burthe (CEH), Mark Newell (CEH), Gidona Goodman (University of Edinburgh), Adam Butler (BIOSS), Sarah Wanless (CEH), Emma Cunningham (University of Edinburgh), Francis Daunt (CEH)
   

Parasites are a key driver of evolutionary processes in wild animals. However, quantifying endoparasite burdens non-destructively can be problematic. We successfully utilised endoscopy in a wild seabird host in the field as a method for measuring natural nematode burdens and verifying that drug treatment removed parasites. Endoscopy was found to be a rapid, reliable and repeatable method for assessing parasite burdens in this system.

Add 12:00 A Fractal Explorer For the Tree of Life
    James Rosindell (Imperial College London), Luke Harmon (University of Idaho)
   

Scientific knowledge of the tree of life is expanding rapidly, but the methods used for visualising it are restrictive. Here we present a new and visually appealing way to explore large phylogenetic trees with metadata, using fractals and a zooming interface.  The software should help scientists explore large datasets and also help communicate ecological and evolutionary concepts to the public.

Add 12:15 A novel, simulation-based method for predicting the impacts of habitat conversion, latitudinal gradients, and species extinctions on arthropod-plant interaction networks
    Tom Fayle (University of South Bohemia), Petr Klimes (Czech Academy of Sciences), George Weiblen (University of Minnesota), Jan Hrcek (University of South Bohemia), Vojtech Novotny (Czech Academy of Sciences)
   

Here we introduce a novel analytical method in which individual trees (including their arthropod communities) are selected from a source dataset to match communities from a target plot in terms of tree abundance, size distribution and community phylogeny. This allows prediction of the arthropod communities in the target area, with deviations revealing changes in the underlying rules dictating community structure.

Add 12:30 Anomalous speeds in polymorphic populations
    Elizabeth Elliott (University of Leeds), Stephen Cornell (University of Leeds)
   

Predicting the invasion speed of polymorphic populations has revealed that anomalous speeds may be important.  These occur when a polymorphic population invades faster than a single morph.   Using a discrete model we show that these speeds persist when there is demographic stochasticity if population densities or mutation rates are high.

Add 12:45 Dynamic species distribution models from categorical survey data
    Gregg Milligan (University of Liverpool), Nova Mieszkowska (Marine Biological Association), Mike Burrows (Scottish Association for Marine Science), Rob Freckleton (University of Sheffield), Matthew Spencer (University of Liverpool)
   

A typical species distribution model is static. We describe species distribution models for categorical abundance data that have an explicit temporal component. We use our approach to study the distribution and dynamics of two intertidal invertebrates, the top shells Osilinus lineatus and Gibbula umbilicalis, based on data from approximately 100 sites surveyed over 8 years

Add 13:00 Integrating evolution into ecological modelling: a phenotype-gambit approach
    Aristides (Aris) Moustakas (Queen Mary University of London), Matthew Evans (Queen Mary University of London)
   

A model that takes a phenotypic-gambit approach and focuses on changes in the frequency of phenotypes within a population, using as an example seasonal breeding was developed. Results showed that the phenotypic approach has utility when attempting to accommodate evolution within an ecological model. Simplified model variants were explored in order to examine how complex should an eco-evolutionary model be.

Add 15:00 Linking individual-level observations to macro-scale behaviour: a mathematical approach
    Maria Bruna (University of Oxford), Jon Chapman (University of Oxford)
   

In ecology, systems composed of many individuals that combine to exhibit a collective behaviour are prevalent – e.g., insect swarms. Whilst models rooted at the individual level can account for empirical observations, they are often impractical and incapable of predicting macro-scale evolution. We present a mathematical theory that can explain how interactions and changes at the micro-scale affect the global dynamics.

Add 15:15 The role of direct vs. delayed density dependence in rodent population cycles: insights from nonlinear models
    Frederic Barraquand (University of Tromsø), Adrien Pinot (Centre d'Etudes Biologiques de Chizé - CNRS), Nigel Yoccoz (University of Tromsø)
   

Population cycles in voles and lemmings are often thought to require one-year delayed density-dependence (DD), with specialist predators causing crashes. Re-analysing data, and contrasting popular log-linear models with non-linear ones, we show that direct DD is less stabilising than previously thought, and delayed DD can have a different role than that assumed by current theory.

Add 15:30 Estimating the environmental dependence of ecological parameters.
    Gian Marco Palamara (University of Zurich), Christopher Clements (University of Sheffield), Matthew Smith (Microsoft Research), Owen Petchey (University of Zurich)
   

The ability to infer temperature dependence of biological rates is crucial for predicting the response of ecological systems to environmental change. We simulate temperature dependent population time series and use them to test parameter estimation methods. Comparing different methods we obtain accurate estimates of activation energy for simulated data. We use time series from microbial aquatic communities as case studies. 

Add 15:45 Modelling plant community dynamics as a replacement network.
    Julio Alcantara (Universidad de Jaen), Pedro Rey (Universidad de Jaen), Jesus Bastida (CIEco-UNAM), Gemma Siles (Universidad de Jaen)
   

Plant community dynamics can be interpreted as the eventual replacement of individual plants by other individual/s of the same or different species. This replacement is the result of interspecific juvenile-adult interactions which configure a “replacement network”. We describe a model that uses this framework to study the network structure and dynamics of woody plant communities.

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