Biomathematics & Statistics Scotland

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To appear:

Category: "Refereed journal"

Bierman, S., Butler, A., Marion, G. and Kühn, I. Bayesian image restoration to analyze biological atlas data with spatially varying non-detection probabilities. Ecography.

Published:

Category: "Refereed journal"

Butler, A., Marion, G. and Doherty, R. (2009). Model averaging to combine simulations of future global vegetation carbon stocks. Environmetrics 20(7), 791-811.

Davidson, R.S., Marion, G., White, P.C.L. and Hutchings, M.R. (2009). Use of host population reduction to control wildlife disease in a pest species: rabbits and paratuberculosis. Epidemiology and Infection 137, 131-138.

White, P.C.L., Bohm, M., Marion, G. and Hutchings, M.R. (2008). Control of bovine tuberculosis in British livestock: there is no 'silver bullet'. Trends in Microbiology 16(9), 420-427.

Davidson, R.S., Marion, G. and Hutchings, M.R. (2008). Effects of host social hierarchy on disease persistence. Journal of Theoretical Biology 253, 424-433.

Smith, L., Marion, G., Swain, D.L., White, P.C.L. and Hutchings, M.R. (2008). Inter- and intra-specific exposure to parasites and pathogens via the faecal-oral route: a consequence of behaviour in a patchy environment. Epidemiology and Infection online, 1-14.

Smith, L., White, P.C.L., Marion, G. and Hutchings, M.R. (2008). Livestock grazing behaviour and inter- vs intra-specific disease risk via the faecal oral route. Behavioral Ecology online.

Marion, G., Smith, L., Swain, D.L., Davidson, R.S. and Hutchings, M.R. (2008). Understanding the impact of foraging behaviour on disease risks from faeces in spatially heterogeneous systems. Journal of Agricultural Science 146(5), 507-520.

Cook, A., Marion, G., Butler, A. and Gibson, G. (2007). Bayesian inference for the spatio-temporal invasion of alien species. Bulletin of Mathematical Biology 69(6), 2005-2025.

Cook, A., Otten, W., Marion, G., Gibson, G. and Gilligan, C.A. (2007). Estimation of multiple transmission rates for epidemics in heterogeneous populations. Proceedings of the National Academy of Sciences USA 104, 20392-20397.

Perez-Barberia, F.J., Walker, D.M. and Marion, G. (2007). Maximising intake under challenging foraging conditions at two hierarchical spatial scales in males and females of Soay sheep. Animal Behaviour 73(2), 339-348.

Krishnarajah, I., Marion, G. and Gibson, G. (2007). Novel bivariate moment-closure approximations. Mathematical Biosciences 208, 621-643.

Judge, J., Davidson, R.S., Marion, G., White, P.C.L. and Hutchings, M.R. (2007). Persistence of Mycobacterium avium subspecies paratuberculosis in rabbits: the interplay between horizontal and vertical transmission. Journal of Applied Ecology 44(2), 302-311.

Swain, D.L., Hutchings, M.R. and Marion, G. (2007). Using a spatially explicit model to understand the impact of search rate and search distance on spatial heterogeneity within an herbivore grazing system. Ecological Modelling 203, 319-326.

Paulo, M.J., van der Voet, H., Wood, J.C., Marion, G. and van Klaveren, J.D. (2006). Analysis of multivariate extreme intakes of food chemicals. Food and Chemical Toxicology 44(7), 994-1005.

Gibson, G., Otten, W., Filipe, J.A.N., Cook, A., Marion, G. and Gilligan, C.A. (2006). Bayesian estimation for percolation models of disease spread in plant populations. Statistics and Computing 16, 391-402.

Walker, D.M. and Marion, G. (2006). Selecting nonlinear stochastic process rate models using information criteria. Physica D 213, 190-196.

Walker, D.M., Perez-Barberia, F.J. and Marion, G. (2006). Stochastic modelling of ecological processes using hybrid Gibbs samplers. Ecological Modelling 198, 40-52.

Settele, J., Hammen, V., Hulme, P., Karlson, U., Klotz, S., Kotarac, M., Kunin, W., Marion, G., O'Connor, M., Petanidou, T., Peterson, K., Potts, S., Pritchard, H., Pysek, P., Rounsevell, M., Spangenberg, J., Steffan-Dewenter, I., Sykes, M., Vighi, M., Zobel, M. and Kuhn, I. (2005). ALARM:Assessing LArge-scale environmental Risks for biodiversity with tested Methods. GAIA - Ecological Perspectives in Science, Humanities, and Economics 14, 69-72.

Krishnarajah, I., Cook, A., Marion, G. and Gibson, G. (2005). Novel moment closure approximations in stochastic epidemics. Bulletin of Mathematical Biology 67, 855-873.

Marion, G., Swain, D.L. and Hutchings, M.R. (2005). Understanding foraging behaviour in spatially heterogenous environments. Journal of Theoretical Biology 232, 127-142.

Marion, G., Gibson, G.J. and Renshaw, E. (2003). Estimating likelihoods for spatio-temporal models using importance sampling. Statistics and Computing 13, 111-119.

Marion, G., Mao, X. and Renshaw, E. (2002). Convergence of the Euler scheme for a class of stochastic differential. International Mathematical Journal 1, 9-22.

Mao, X., Marion, G. and Renshaw, E. (2002). Environmental Brownian noise suppresses explosions in population dynamics. Stochastic Processes and Their Applications 97, 95-110.

Marion, G., Mao, X., Renshaw, E. and Liu, J. (2002). Spatial heterogeneity and the stability of reaction states in autocatalysis. Physical Review E 66, 051915.

Marion, G., Renshaw, E. and Gibson, G.J. (2000). Stochastic modelling of environmental variation for biological populations. Theoretical Population Biology 57, 197-217.

Marion, G., Renshaw, E. and Gibson, G.J. (1998). Stochastic effects in a model of nematode infection in ruminants. IMA Journal of Mathematics Applied in Medicine and Biology 15, 97-116.

Marion, G. and Saad, D. (1996). Finite-size effects in Bayesian model selection and generalization. Journal of Physics A 29, 5387-5404.

Marion, G. and Saad, D. (1995). A statistical mechanical analysis of a Bayesian inference scheme for an unrealisable rule. Journal of Physics A 28, 2159-2171.

Category: "Book Chapter"

Caley, P., Marion, G. and Hutchings, M.R. (2009). Assessment of transmission rates and routes, and the implications for management. In "Management of Disease in Wild Mammals", 31-52. Eds. RJ Delahay, GC Smith & MR Hutchings. Springer Verlag.

Marion, G., Grabaum, R., Bierman, S., Butler, A., Grescho, V., Spangenberg, J., Kühn, I., Hammen, V., Hickler, T., Hulme, P., Douguet, J.M., Peterson, K., Potts, S., Reginster, I., Maxim, L., Omann, I. and Settele, J. (2009). Biodiversity risk assessment for Europe - putting it all together. In "Atlas of Biodiversity Risk". Eds. Josef Settele et al. Pensoft, Sofia & Moscow.

Smith, G., Marion, G., Rushton, S., Pfeiffer, D., Thulke, H.H., Eisinger, D. and Hutchings, M.R. (2009). Modelling disease dynamics and management scenarios. In "Management of Disease in Wild Mammals", 53-78. Eds. RJ Delahay, GC Smith & MR Hutchings. Springer Verlag, Berlin.

Marion, G., Butler, A., Catterall, S., Cook, A., Doherty, R., Kühn, I., Reineking, B., Schweiger, O. and Hulme, P. (2009). Statistical aspects of biodiversity risk assessment. In "Atlas of Biodiversity Risk". Eds. Josef Settele et al.. Pensoft, Sofia & Moscow.

Settele, J., Biesmeijer, K., Grabaum, R., Hammen, V., Hulme, P., Karlson, U., Klotz, S., Kotarac, M., Kunin, W., Marion, G., O'Connor, M., Petanidou, T., Peterson, K., Potts, S., Pysek, P., Rattei, R. and Rounsevell, M. (2007). Environmental risk assessment for biodiversity and ecosystems: results and perspectives of the large scale inter- and transdisciplinary research of the ALARM project. In "Emerging Issues for Biodiversity Conservation in a Changing Climate: Abstracts of Poster Presentations at the 12th Meeting of the Subsidiary Body on Scientific, Technical and Technological Advice of the Convention on Biological Diversity.", 50 - 53. Secretariat of the Convention on Biological Diversity, Montreal.

Marion, G., Walker, D.M., Cook, A., Swain, D.L. and Hutchings, M.R. (2007). Towards an integrated approach to a stochastic process-based modelling: with applications to behaviour and spatio-temporal spread. In "Redesigning Animal Agriculture", 144-170. Eds. Swain, D. L., Charmley, E., Steel, J. & Coffey, S.. CABI, Oxford, UK.

Marion, G. and Saad, D. (1997). Data dependent hyper-parameter assignment. In "Mathematics of Neural Networks: models alogorithms and applications", 257-264. Eds. Ellacott, S.W., Mason, J.C. and Anderson I.J.. Kluwer Academic Publishers, London.

Marion, G. and Saad, D. (1995). Hyper-parameters, evidence and generalization for an unrealisable rule. In "Advances in Neural Information Processing Systems", 255-262. Eds. Tesauro, G., Touretzky, D. S. and Leen, T. K.. The MIT Press, Cambridge, Massachusetts.