Evaluation of stochastic gravity model selection for use in estimating non-indigenous species dispersal and establishment

Biological Invasions

Volumn 13, Issue 11, 2011, Pages 2445-2458

  Muirhead, Jim R ^a   MacIsaac, Hugh J ^b  

^a UNIVERSITY OF ALBERTA   (Canada)

^b UNIVERSITY OF WINDSOR   (Canada)

Author keywords

Biological invasion; Invasive species; Nonindigenous species; Stochastic gravity model

Indexed keywords

ASSESSMENT METHOD; BIOLOGICAL INVASION; CRUSTACEAN; DATA SET; DISPERSAL; EMPIRICAL ANALYSIS; ESTIMATION METHOD; HABITAT CONSERVATION; HETEROGENEITY; INVASIVE SPECIES; LANDSCAPE; MANAGEMENT PRACTICE; NUMERICAL MODEL; POPULATION STRUCTURE; REGRESSION ANALYSIS; RISK ASSESSMENT; SELECTION; STOCHASTICITY;

GREAT LAKES [NORTH AMERICA]; LAKE ONTARIO;

BYTHOTREPHES;

EID: 80053572038     PISSN: 13873547     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10530-011-0070-3     Document Type: Article

References (54)

1. Allouche O, Tsoar A, Kadmon R (2006) Assessing the accuracy of species distribution models: prevalence, kappa and the true skill statistic (TSS). J Appl Ecol 43: 1223-1232.
2. Anas A (1983) Discrete choice theory, information-theory and the multinomial logit and gravity models. Trans Res B Methodol 17: 13-23.
3. Anderson JE (1979) Theoretical foundation for the gravity equation. Am Econ Rev 69: 106-116.
4. Black JA, Salter RJ (1975) A statistical evaluation of the accuracy of a family of gravity models. Proc Instit Civil Eng Part 2 Res Theor 59: 1-20.
5. Bockstael NE, McConnell KE, Strand IE (1989) A random utility model for sportfishing: some preliminary results for Florida. Mar Res Econ 6: 245-260.
6. Bossenbroek JM, Kraft CE, Nekola JC (2001) Prediction of long-distance dispersal using gravity models: zebra mussel invasion of inland lakes. Ecol Appl 11: 1778-1788.
7. Bossenbroek JM, Johnson LE, Peters B, Lodge DM (2007) Forecasting the expansion of zebra mussels in the United States. Con Biol 21: 800-810.
8. Boudreau SA, Yan ND (2004) Auditing the accuracy of a volunteer-based surveillance program for an aquatic invader Bythotrephes. Environ Monitor Assess 91: 17-26.
9. Branstrator DK, Brown ME, Shannon LJ, Thabes M, Heimgartner K (2006) Range expansion of Bythotrephes longimanus in North America: evaluating habitat characteristics in the spread of an exotic invader. Biol Invas 8: 1367-1379.
10. Colautti RI, Grigorovich IA, MacIsaac HJ (2006) Propagule pressure: a null model for biological invasions. Biol Invas 8: 1023-1037.
11. Davis MA (2003) Biotic globalization: does competition from introduced species threaten biodiversity? Bioscience 53: 481-489.
12. Dempster AP, Laird NM, Rubin DB (1977) Maximum likelihood from incomplete data via the EM algorithm. J R Stat Soc Ser B (Methodological) 39: 1-38.
13. Efron B, Tibshirani R (1986) Bootstrap methods for standard errors, confidence intervals, and other measures of statistical accuracy. Stat Sci 1: 54-77.
14. Elith J, Graham CH, Anderson RP, Dudik M, Ferrier S, Guisan A, Hijmans RJ, Huettmann F, Leathwick JR, Lehmann A, Li J, Lohmann LG, Loiselle BA, Manion G, Moritz C, Nakamura M, Nakazawa Y, Overton JM, Peterson AT, Phillips SJ, Richardson K, Scachetti-Pereira R, Schapire RE, Soberón J, Williams S, Wisz MS, Zimmerman NE (2006) Novel methods improve prediction of species' distributions from occurrence data. Ecography 29: 129-151.
15. Flowerdew R, Aitkin M (1982) A method of fitting the gravity model based on the Poisson distribution. J Reg Sci 22: 191-202.
16. Forsyth DM, Duncan RP (2001) Propagule size and the relative success of exotic ungulate and bird introductions to New Zealand. Am Nat 157: 583-595.
17. Fotheringham AS (1981) Spatial structure and distance-decay parameters. Ann Assoc Am Geogr 71: 425-436.
18. Fridley JD, Stachowicz JJ, Naeem S, Sax DF, Seabloom EW, Smith MD, Stohlgren TJ, Tilman D, Von Holle B (2007) The invasion paradox: reconciling pattern and process in species invasions. Ecology 88: 3-17.
19. Hayes KR, Barry SC (2008) Are there any consistent predictors of invasion success? Biol Invas 10: 483-506.
20. Haynes KE, Fotheringham AS (1984) Gravity and spatial interaction models. Sage, Beverly Hills.
21. Herborg L-M, Jerde CL, Lodge DM, Ruiz GM, MacIsaac HJ (2007) Predicting invasion risk using measures of introduction effort and environmental niche models. Ecol Appl 17: 663-674.
22. Huff DL (1959) Geographical aspects of consumer behavior. U Wash Bus Rev 18: 27-37.
23. Jansakul N (2005) Fitting a zero-inflated negative binomial model via R. In: Proceedings of the 20th international Wksh Stat Model, pp 277-284.
24. Jarnagin ST, Swan BK, Kerfoot WC (2000) Fish as vectors in the dispersal of Bythotrephescederstroemi: diapausing eggs survive passage through the gut. Freshw Biol 43: 579-589.
25. Jeschke JM, Strayer DL (2005) Invasion success of vertebrates in Europe and North America. Proc Natl Acad Sci USA 102: 7198-7202.
26. Johannsson OE, Mills EL, Ogorman R (1991) Changes in the nearshore and offshore zooplankton communities in Lake Ontario-1981-88. Can J Fish Aquat Sci 48: 1546-1557.
27. Ketelaars HAM, Gille L (1994) Range extension of the predatory cladoceran Bythotrepheslongimanus Leydig 1860 (Crustacea, Onychopoda) in Western Europe. Neth J Aquat Ecol 28: 175-180.
28. Kolar CS, Lodge DM (2001) Progress in invasion biology: predicting invaders. Trends Ecol Evol 16: 199-204.
29. Kolar CS, Lodge DM (2002) Ecological predictions and risk assessment for alien fishes in North America. Science 298: 1233-1236.
30. Leung B, Delaney DG (2006) Managing sparse data in biological invasions: a simulation study. Ecol Model 198: 229-239.
31. Leung B, Lodge DM, Finnoff D, Shogren JF, Lewis MA, Lamberti GA (2002) An ounce of prevention or a pound of cure: bioeconomic risk analysis of invasive species. Proc R Soc Lond Ser B 269: 2407-2413.
32. Leung B, Drake JM, Lodge DM (2004) Predicting invasions: propagule pressure and the gravity of Allee effects. Ecology 85: 1651-1660.
33. Leung B, Bossenbroek JM, Lodge DM (2006) Boats, pathways, and aquatic biological invasions, estimating dispersal potential with gravity models. Biol Invas 8: 241-254.
34. Linneman HV (1966) An econometric study of international trade flows. North-Holland, Amsterdam.
35. Liu CR, Berry PM, Dawson TP, Pearson RG (2005) Selecting thresholds of occurrence in the prediction of species distributions. Ecography 28: 385-393.
36. Lobo JM, Jiménez-Valverde A, Real R (2008) AUC: a misleading measure of the performance of predictive distribution models. Global Ecol Biogeogr 17: 145-151.
37. Lockwood JL, Cassey P, Blackburn T (2005) The role of propagule pressure in explaining species invasions. Trends Ecol Evol 20: 223-228.
38. Lockwood JL, Cassey P, Blackburn T (2009) The more you introduce the more you get: the role of colonization pressure and propagule pressure in invasion ecology. Divers Distrib 15: 904-910.
39. Lodge DM, Williams S, MacIsaac HJ, Hayes KR, Leung B, Reichard S, Mack RN, Moyle PB, Smith M, Andow DA, Carlton JT, McMichael A (2006) Biological invasions: recommendations for US policy and management. Ecol Appl 16: 2035-2054.
40. MacIsaac HJ, Ketelaars HAM, Grigorovich IA, Ramcharan CW, Yan ND (2000) Modeling Bythotrephes longimanus invasions in the Great Lakes basin based on its European distribution. Arch Hydrobiol 149: 1-21.
41. MacIsaac HJ, Borbely J, Muirhead JR, Graniero P (2004) Backcasting and forecasting biological invasions of inland lakes. Ecol Appl 14: 773-783.
42. McPherson JM, Jetz W, Rogers DJ (2004) The effects of species' range sizes on the accuracy of distribution models: ecological phenomenon or statistical artefact? J Appl Ecol 41: 811-823.
43. Melbourne BA, Cornell HV, Davies KF, Dugaw CJ, Elmendorf S, Freestone AL, Hall RJ, Harrison S, Hastings A, Holland M, Holyoak M, Lambrinos J, Moore K, Yokomizo H (2007) Invasion in a heterogeneous world: resistance, coexistence or hostile takeover? Ecol Lett 10: 77-94.
44. Potapov A, Muirhead JR, Lele SR, Lewis MA (2010) Stochastic gravity models for modeling lake invasions. Ecol Model. doi: 10. 1016/j. ecolmodel. 2010. 07. 024.
45. Richardson DM, Pyšek P, Rejmánek M, Barbour M, Panetta FD, West CJ (2000) Naturalization and invasion of alien plants: concepts and definitions. Divers Distrib 6: 93-107.
46. Rouget M, Richardson DM (2003) Inferring process from pattern in plant invasions: a semimechanistic model incorporating propagule pressure and environmental factors. Am Nat 162: 713-724.
47. Sala OE, Chapin FS III, Armesto JJ, Berlow E, Bloomfield J, Dirzo R, Huber-Sanwald E, Huenneke LF, Jackson RB, Kinzig A, Leemans R, Lodge DM, Mooney HA, Oesterheld M, Poff NL, Sykes MT, Walker BH, Walker M, Wall DH (2000) Global biodiversity scenarios for the year 2100. Science 287: 1770-1774.
48. Schneider DW, Ellis CD, Cummings KS (1998) A transportation model assessment of the risk to native mussel communities from zebra mussel spread. Conserv Biol 12: 788-800.
49. Siderelis C, Moore RL (1998) Recreation demand and the influence of site preference variables. J Leisure Res 30: 301-318.
50. Vander Zanden MJ, Olden JD (2008) A management framework for preventing the secondary spread of aquatic invasive species. Can J Fish Aquat Sci 65: 1512-1522.
51. Veltman CJ, Nee S, Crawley MJ (1996) Correlates of introduction success in exotic New Zealand birds. Am Nat 147: 542-557.
52. Von Holle B, Simberloff D (2005) Ecological resistance to biological invasion overwhelmed by propagule pressure. Ecology 86: 3212-3218.
53. Weisz EJ, Yan ND (2010) Relative value of limnological, geographic, and human use variables as predictors of the presence of Bythotrepheslongimanus in Canadian Shield lakes. Can J Fish Aquat Sci 67: 462-472.
54. Zipf GK (1946) The P1P2/D hypothesis: on the intercity movement of persons. Am Sociol Rev 11: 677-686.