Quantifying stochastic introgression processes with hazard rates

Theoretical Population Biology

Volumn 77, Issue 3, 2010, Pages 171-180

  Ghosh, Atiyo ^a   Haccou, Patsy ^a  

^a LEIDEN UNIVERSITY   (Netherlands)

Author keywords

Establishment; Immigration; Invasion; Multitype Galton Watson Branching Process; Transgene

Indexed keywords

CROP IMPROVEMENT; ENVIRONMENTAL IMPACT; GENE FLOW; HAZARD; HYBRIDIZATION; IMMIGRATION; INTROGRESSION; INVASIBILITY; LIFE HISTORY; STOCHASTICITY; TRANSGENIC PLANT;

ARTICLE; GENETICS; HERBICIDE RESISTANCE; HYBRIDIZATION; INSECTICIDE RESISTANCE; STATISTICS;

HERBICIDE RESISTANCE; HYBRIDIZATION, GENETIC; INSECTICIDE RESISTANCE; STOCHASTIC PROCESSES;

EID: 77950035135     PISSN: 00405809     EISSN: 10960325     Source Type: Journal    
DOI: 10.1016/j.tpb.2010.01.002     Document Type: Article

References (35)

1. Abbott R.J., James J.K., Milne R.I., and Gillies A.C.M. Plant introductions, hybridization and gene flow. Phil. Trans. Roy. Soc. Lond. B Biol. Sci. 358 (2003) 1123-1132
2. Allendorf F.W., Leary R.F., Spruell P., and Wenburg J.K. The problems with hybrids: Setting conservation guidelines. Trends Ecol. Evol. 16 (2001) 613-622
3. Athreya K.B., and Ney P.E. Branching Processes (1972), Springer, Berlin
4. Champagnat N., Ferriere R., and Méléard S. Unifying evolutionary dynamics: From individual stochastic processes to macroscopic models. Theor. Popul. Biol. 69 (2006) 297-321
5. Davis S.A., Catchpole E.A., and Pech R.P. Models for the introgression of a transgene into a wild population within a stochastic environment, with applications to pest control. Ecol. Model. 119 (1999) 267-275
6. Demon I., Haccou P., and van den Bosch F. Introgression of resistance genes between populations: A model study of insecticide resistance in Bemisia tabaci. Theor. Popul. Biol. 72 (2007) 292-304
7. Ellstrand N.C. Dangerous Liaisons? When Cultivated Plants Mate With Their Wild Relatives (2003), The John Hopkins University Press, Baltimore
8. Ellstrand N.C., Prentice H.C., and Hancock J.F. Gene flow and introgression from domesticated plants into their wild relatives. Annu. Rev. Ecol. Systemat. 30 (1999) 539-563
9. Eshel I. On the survival probability of a slightly advantageous mutant gene with a general distribution of progeny size: A branching process model. J. Math. Biol. 12 (1981) 355-362
10. Feller W. An Introduction to Probability Theory and its Applications. third ed. vol. 1 (1968), John Wiley and Sons, New York
11. Garnier A., and Lecomte J. Using a spatial and stage-structured invasion model to assess the spread of feral populations of transgenic oilseed rape. Ecol. Model. 194 (2006) 141-149
12. Haccou P., Jagers P., and Vatutin V.A. Branching Processes: Variation, Growth and Extinction of Populations (2005), Cambridge University Press, Cambridge
13. Haccou P., and Meelis E. Statistical Analysis of Behavioural Data (1994), Oxford University Press, Oxford
14. Hails R.S., and Morley K. Genes invading new populations: A risk assessment perspective. Trends Ecol. Evol. 20 (2005) 245-252
15. Haldane J.B.S. A mathematical theory of natural and artificial selection. V. Selection and mutation. Proc. Cambridge Philos. Soc. 23 (1927) 838-844
16. Hanski I. Metapopulation Ecology (1999), Oxford University Press, Oxford
17. Hauser T.P., Shaw R.G., and Ostergard H. Fitness of hybrids between weedy Brassica rapa oilseed rape (B. napus). Heredity 81 (1998) 436-443
18. Haygood R., Ives A.R., and Andow D.A. Consequences of recurrent gene flow from crops to wild relatives. Proc. Biol. Sci. 270 (2003) 1879-1896
19. Haygood R., Ives A.R., and Andow D.A. Population genetics of transgene containment. Ecol. Lett. 7 (2004) 213-220
20. Huxel G.R. Rapid displacement of native species by invasive species: Effects of hybridization. Biol. Conservat. 89 (1999) 143-152
21. Jagers P., and Klebaner F.C. Population-size-dependent and age-dependent branching processes. Stochastic Process. Appl. 87 (2000) 35-254
22. Jenczewski E., Ronfort J., and Chèvre A. Crop-to-wil gene flow, introgression and possible fitness effects of transgenes. Environ. Biosafety Res. 2 (2003) 9-24
23. Kalbfleisch J.D., and Prentice R.L. The Statistical Analysis of Failure Time Data. 2nd ed. (2002), John Wiley & Sons, New York
24. Kelly C.K., Bowler M.J., Breden F., Fenner M., and Poppy G.M. An analytical model assessing the potential threat to natural habitats from insect resistance transgenes. Proc. Biol. Sci. 272 (2005) 1759-1767
25. Levin D.A., Francisco-Ortega J., and Jansen R.K. Hybridizationand the extinction of rare plant species. Conserv. Biol. 10 (1996) 10-16
26. Maan S.S. Interspecific and intergeneric hybridisation in wheat. In: Heyne E.G. (Ed). Wheat and Wheat Improvement (1987), ASA, CSSA and SSSA, Madison 453-461
27. Michor F., Nowak M.A., and Iwasa Y. Stochastic dynamics of metastasis formation. J. Theoret. Biol. 240 (2006) 521-530
28. Reichman J.R., Watrud L.S., Lee E.H., Burdick C.A., et al. Establishment of transgenic herbicide-resistant creeping bentgrass (Agrostis stolonifera L.) in nonagronomic habitats. Mol. Ecol. 15 13 (2006) 4243-4255
29. Rieger M.A., Lamond M., Preston C., Powles S.B., and Roush R.T. Pollen-mediated movement of herbicide resistance between commercial canola fields. Science 296 (2002) 2386-2388
30. Riesberg L.H., and Wendel J.F. Introgression and its consequences in plants. In: Harrison R.G. (Ed). Hybrid Zones and the Evolutionary Process (1993), Oxford University Press, Oxford 70-109
31. Serra M.C. On the waiting time to escape. J. Appl. Prob. 43 (2006) 296-302
32. Serra M.C., and Haccou P. Dynamics of escape mutants. Theor. Popul. Biol. 72 (2007) 167-178
33. Smith W.L., and Wilkinson W.E. On branching processes in random environments. Ann. Math. Statist. 40 (1969) 814-827
34. Snow A.A., Andersen B., and Jorgensen R.B. Costs of transgenic herbicide resistance introgressed from Brassica napus into weedy B. rapa. Mol. Ecol. 8 (1999) 605-615
35. Thompson C.J., Thompson B.J.P., Ades P.K., Cousens R., Carinier-Gere P., Landman K., Newbigin E., and Burgman M.A. Model-based analysis of the likelihood of gene introgression from genetically modified crops into wild relatives. Ecol. Model. 162 (2003) 199-209