Stochastic gravity models for modeling lake invasions

Ecological Modelling

Volumn 222, Issue 4, 2011, Pages 964-972

  Potapov, Alex ^a   Muirhead, Jim R ^a   Lele, Subhash R ^a   Lewis, Mark A ^a  

^a UNIVERSITY OF ALBERTA   (Canada)

Author keywords

Biological invasions; Dispersal models; Gravity models; Model selection

Indexed keywords

AQUATIC SYSTEM; BIOLOGICAL INVASION; COVARIATES; DATA SOURCE; DISPERSAL MODELS; ECONOMIC IMPACTS; GRAVITY MODEL; HUMAN ACTIVITIES; INFORMATION CRITERION; INVASIVE SPECIES; MANAGEMENT MODEL; MODEL SELECTION; POTENTIAL MODEL; RECREATIONAL BOATING; STATISTICAL INFERENCE TOOLS; TEMPORAL DOMAIN;

ECOLOGY; FORECASTING; LAKES; MAXIMUM LIKELIHOOD ESTIMATION; NONLINEAR ANALYSIS; STOCHASTIC SYSTEMS; VIRUSES;

STOCHASTIC MODELS;

BIOLOGICAL INVASION; BOATING; DISPERSAL; ECOLOGICAL IMPACT; ECOLOGICAL MODELING; FISH; HUMAN ACTIVITY; LAKE ECOSYSTEM; MANAGEMENT PRACTICE; MAXIMUM LIKELIHOOD ANALYSIS; MICROORGANISM; NUMERICAL MODEL; PROPAGULE; STOCHASTICITY;

NORTH AMERICA;

BACTERIA (MICROORGANISMS); MOLLUSCA;

EID: 78651457128     PISSN: 03043800     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ecolmodel.2010.07.024     Document Type: Article

References (36)

1. Baxter M., Ewing G. Models of recreational trip distribution. Reg. Stud. 1981, 15:327-344.
2. Bobeldyk A.M., Bossenbroek J.M., Evans-White M.A., Lodge D.M., Lamberti G.A. Secondary spread of zebra mussels (Dreissena polymorpha) in coupled lake-stream systems. Ecoscience 2005, 12:339-346.
3. Boudreau S.A., Yan N.D. The differing crustacean zooplankton communities of Canadian Shield lakes with and without the nonindigenous zooplanktivore, Bythotrephes longimanus. Can. J. Fisheries Aquatic Sci. 2003, 60(11):1307-1313.
4. Bossenbroek J.M., Kraft C.E., Nekola J.C. Prediction of long-distance dispersal using gravity models: zebra mussel invasion of inland lakes. Ecol. Appl. 2001, 11:1778-1788.
5. Bossenbroek J.M., Johnson L.E., Peters B., Lodge D.M. Forecasting the expansion of zebra mussels in the United States. Cons. Biol. 2007, 21:800-810.
6. Burbidge A.A., Manly B.F.J. Mammal extinctions on Australian islands: causes and conservation implications. J. Biogeogr. 2002, 29:465-473.
7. Burnham K.P., Anderson D.R. Model Selection and Multimodel Inference. A Practical Information-Theoretic Approach 2001, Springer, NY, USA, 488 pp. 2nd ed.
8. Burnham K.P., Anderson D.R. Multimodel inference: understanding AIC and BIC in model selection. Sociol. Method Res. 2004, 33:261-304.
9. Cooney, R., Lang, A.T.F., 2007. Taking uncertainty seriously: adaptive governance and international trade. Eur. J. Intern. Law, 18 (3)m 523-551.
10. Crawley M.J. The R Book 2007, Wiley, USA, 942 pp.
11. Crowl T.A., Crist T.O., Parmenter R.R., Belovsky G., Lugo A.E. The spread of invasive species and infectious disease as drivers of ecosystem change. Front. Ecol. Environ. 2008, 6:238-246.
12. Drake J.M., Drury K.L.S., Lodge D.M., Blukacz A., Yan N.D., Dwyer G. Demographic stochasticity, environmental variability, and windows of invasion risk for Bythotrephes longimanus in North America. Biol. Invasions 2006, 8:843-861.
13. EPPO, 2007. Guidelines on Pest Risk Analysis: Decision-Support Scheme for Quarantine Pests PM513(3). European and Mediterranean Plant Protection Organization, Paris, France. http://archives.eppo.org/EPPOStandards/PM5_PRA/PRA_scheme_2007.doc.
14. Ferrari M.J., Bjørnstad O.N., Partain J.L., Antonovics J. A gravity model for the spread of a pollinator-borne plant pathogen. Am. Nat. 2006, 168(3):294-303.
15. Flowerdew R., Atkin M. A method of fitting the gravity model based on the Poisson distribution. J. Regional Sci. 1982, 22:191-202.
16. Ghosh, J.K., Samanta, T., 2001. Model selection-an overview. Curr. Sci. 80 (9-10), 1135-1144.
17. Haynes K.E., Fotheringham A.S. Gravity and Spatial Interaction Models 1984, Sage Publications, Beverly Hills, London, New Delhi, 88 pp.
18. Johnson L.E., Padilla D.K. Geographic spread of exotic species: ecological lessons and opportunities from the invasion of the zebra mussel Dreissena polymorpha. Biol. Conserv. 1996, 78:23-33.
19. Bioeconomics of Invasive Species 2009, 298 pp. Oxford University Press, NY, USA. R.P. Keller, D.M. Lodge, M.A. Lewis, J.F. Shogren (Eds.).
20. Kraft C.E., Sullivan P.J., Karatayev A.Y., Burlakova L.E., Nekola J.C., Johnson L.E., Padilla D.K. Landscape patterns of an aquatic invader: assessing dispersal extent from spatial distributions. Ecol. Appl. 2002, 12:749-759.
21. Leung B., Bossenbroek J.M., Lodge D.M. Boats, pathways, and aquatic biological invasions, estimating dispersal potential with gravity models. Biol. Invasions 2006, 8:241-254.
22. Leung B., Drake J.M., Lodge D.M. Predicting invasions: propagule pressure and the gravity of Allee effects. Ecology 2004, 85:1651-1660.
23. Lodge D.M., Williams S., MacIsaac H.J., Hayes K.R., Leung B., Reichard S., Mack R.N., Moyle P.B., Smith M., Andow D.A., Carlton J.T., McMichael A. Biological invasions: recommendations for US policy and management. Ecol. Appl. 2006, 16:2035-2054.
24. Lovell S., Stone S.F., Fernandez L. The econonic impacts of aquatic invasive species: a review of the literature. Agr. Res. Econ. Rev. 2006, 35:195-208.
25. MacIsaac H.J., Borbely J.V.M., Muirhead J.R., Graniero P.A. Backcasting and forecasting biological invasions of inland lakes. Ecol. Appl. 2004, 14(3):773-783. 10.1890/02-5377.
26. Maguire L.A. What can decision analysis do for invasive species management?. Risk Anal. 2004, 24:859-868.
27. Muirhead, J.R., 2007. Forecasting dispersal of nonindigenous species. PhD thesis. University of Windsor, Windsor, Canada.
28. Parker I.M., Simberloff D., Lonsdale W.M., Goodell K., Wonham M., Kareiva P., Williamson M.H., Von Holle B., Moyle P.B., Byers J.E., Goldwasser L. Impact: toward a framework for understanding the ecological effects of invaders. Biol. Invasions 1999, 1:3-19.
29. Potapov, A., Muirhead, J., Yan, N., Lele, S., Lewis, M.A. Models of lake invasibility by Bythotrephes longimanus, a non-indigenous zooplankton. Biol. Invasions, submitted for publication.
30. Regan H.M., Ben-Haim Y., Langford B., Wilson W.G., Lundberg P., Andelman S.J., Burgman M.A. Robust decision-making under severe uncertainty for conservation management. Ecol. Appl. 2005, 15(4):1471-1477.
31. R Development Core Team, 2009. R: A language and environment for statistical computing. R Foundation for Statistical Computing, Vienna, Austria. ISBN 3-900051-07-0, URL http://www.r-project.org/.
32. Schneider D.W., Ellis C.D., Cummings K.S. A transportation model assessment of the risk to native mussel communities from zebra mussel spread. Conserv. Biol. 1998, 12:788-800.
33. Sen A., Smith T.E. Gravity Models of Spatial Interaction Behavior 1995, Springer, Berlin, New York, 572 pp.
34. Siderelis C., Moore R.L. Recreation demand and the influence of site preference variables. J. Leisure Res. 1998, 30:301-318.
35. Thomas R.W., Huggett R.J. Modeling in Geography: A Mathematical Approach 1980, Rowman and Littlefield, Lanham, MD, USA, 338 pp.
36. Yan N.D., Girard R., Boudreau S. An introduced invertebrate predator (Bythotrephes) reduces zooplankton species richness. Ecol. Lett. 2002, 5:481-485.