Assessing the importance of self-regulating mechanisms in diamondback moth population dynamics: Application of discrete mathematical models

Journal of Theoretical Biology

Volumn 254, Issue 3, 2008, Pages 587-593

  Nedorezov, Lev V ^a   Löhr, Bernhard L ^b   Sadykova, Dinara L ^c  

^a SAINT PETERSBURG STATE FOREST TECHNICAL UNIVERSITY   (Russian Federation)

^b INTERNATIONAL CENTRE OF INSECT PHYSIOLOGY AND ECOLOGY ICIPE   (Kenya)

^c UNIVERSITY OF OSLO   (Norway)

Author keywords

Diamondback moth population dynamics; Estimation of model parameters; Mathematical models

Indexed keywords

CORRELATION; INTRAPOPULATION VARIATION; MOTH; NUMERICAL MODEL; POPULATION DYNAMICS; POPULATION MODELING; TIME SERIES;

ARTICLE; AUTOREGULATION; BIRTH RATE; CABBAGE; MATHEMATICAL MODEL; MOTH; NONHUMAN; PARAMETER; POPULATION DYNAMICS; PRIORITY JOURNAL; STATISTICAL MODEL; THEORETICAL MODEL;

ANIMALS; BIRTH RATE; BRASSICA; ECOSYSTEM; LARVA; MODELS, BIOLOGICAL; MOTHS; POPULATION DYNAMICS;

AFRICA; EAST AFRICA; EASTERN PROVINCE [KENYA]; KENYA; SUB-SAHARAN AFRICA;

BRASSICA OLERACEA VAR. CAPITATA; PLUTELLA XYLOSTELLA; PLUTELLIDAE;

EID: 51549104846     PISSN: 00225193     EISSN: 10958541     Source Type: Journal    
DOI: 10.1016/j.jtbi.2008.06.027     Document Type: Article

References (42)

1. Abro G.H., Jayo A.L., and Syed T.T. Ecology of the diamondback moth, Plutella xylostella (L.) in Pakistan. 1. Host plant preference. Pak. J. Zool. 26 (1994) 35-38
2. Berryman A.A. Population Systems: A General Introduction (1981), Plenum Press, New York 222pp.
3. Berryman A.A. On choosing models for describing and analyzing ecological time series. Ecology 73 (1992) 694-698
4. Berryman A.A., and Munster-Swendsen M. Simple theoretical models and population predictions. In: Grasman J., and van Straten G. (Eds). Predictability and nonlinear modeling in natural sciences and economics (1994), Kluwer Academic 67-71
5. Beverton R.J., and Holt S.J. On the dynamics of the exploited fish populations. Great Brit. Min. Agric. Fish, Food, Fish. Invest. Ser. 2-19 (1957) 1-533
6. Cherry, A., Osae, M., Djegui, D., 2002. Relative potency, yield and transmission of a Kenyan isolate of Plutella xylostella granulovirus in a population of diamondback moth from Benin, West Africa. In: Kirk, A.A., Bordat, D. (Eds.), Proceedings of the International Symposium on Improving Biocontrol of Plutella xylostella. 21-24th October 2002, Montpellier, France, pp. 158-162.
7. Davidova, N.V., 2004. Old and young. Can they coexist? Ph.D. Thesis, University of Utrecht, The Netherlands, 199pp.
8. Draper N.R., and Smith H. Applied Regression Analysis (1981), Wiley, New York, Chichester, Brisbane, Toronto, Singapore
9. Gunn, D., 1917. The small cabbage moth (Plutella maculipennis, Curtis). South African Department of Agriculture, Pretoria, Bulletin No. 8, 10pp.
10. Harcourt D.G. Major mortality factors in the population dynamics of the diamondback moth, Plutella maculipennis (Curt.) (Lepidoptera: Plutellidae). Mem. Entomol. Soc. Can. 32 (1963) 55-56
11. Harcourt, D.G., 1986. Population dynamic of the Diamondback moth in southern Ontario. In: Talekar, N.S., Griggs, T.D. (Eds.), Diamondback Moth Management: Proceedings of the 1st International Workshop on Diamondback Moth Management, 11-15 March 1985. Shanhua, Taiwan, pp. 3-16.
12. Hassell M.P. Density-dependence in single-species populations. J. Anim. Ecol. 44 (1975) 283-295
13. Isaev A.S., Khlebopros R.G., Nedorezov L.V., Kondakov Yu.P., and Kiselev V.V. Population Dynamics of Forest Insects (1984), Nauka, Novosibirsk 224pp. (in Russian)
14. Isaev A.S., Khlebopros R.G., Nedorezov L.V., Kondakov Y.P., Kiselev V.V., and Soukhovol'sky V.G. Forest Insect Population Dynamics (2001), Nauka, Moscow 347pp. (in Russian)
15. Justus K.A., Dosdall L.M., and Mitchell B.K. Oviposition by Plutella xylostella (Lepidoptera: Plutellidae) and effect of phylloplane waxiness. J. Econ. Entomol. 93 (2000) 1152-1159
16. Kfir R., and Thomas J. Biological control of diamondback moth in the island of St Helena. Biocon. News Inform. 22 (2001) 76N
17. Kibata, G.N., 1997. The diamondback moth: a problem pest of brassica crops in Kenya. The management of diamondback moth and other crucifer pests. In: Sivapragasam, A., Loke, W.H., Hussan, A.K., Lim, G.S. (Eds.), Proceedings of the 3rd International Workshop on Management of Diamondback Moth and Other Crucifer Pests. Kuala Lumpur, Malaysia, pp. 47-53.
18. Ko L.T., and Fang J.L. Studies on the biology of the diamondback moth, Plutella xylostella L.: life history, annual generations and temperature relations. Acta Entomol. Sin. 22 (1979) 310-319
19. May R.M. Biological populations obeying differential equations: stable points, stable cycles and chaos. J. Theor. Biol. 51 (1975) 511-524
20. May R.M., and Oster G.F. Bifurcations and dynamic complexity in simple ecological models. Amer. Natur. 110 (1976) 573-599
21. Maynard Smith J., and Slatkin M. The stability of predator-prey systems. Ecology 54 (1973) 384-391
22. Momanyi C., Löhr B., and Gitonga L. Biological impact of the exotic parasitoid, Diadegma semiclausum (Hellen), of diamondback moth, Plutella xylostella L., in Kenya. Biol. Contr. 38 (2006) 254-263
23. Moran P.A.P. Some remarks on animal population dynamics. Biometrica 6 (1950) 250-258
24. Nakahara L.M., McHugh J., Otsuka C.K., Funusaki G.Y., and Lai P.Y. Integrated control of diamondback moth and other insect pests using an overhead sprinkler system, an insecticide and biological control agents in watercress farm in Hawaii. In: Talekar N.S., and Griggs T.D. (Eds). Diamondback Moth Management: Proceedings of the 1st International Workshop (1986), AVRDC, Shanhua, Taiwan 403-413
25. Oduor, G.I., Löhr, B., Seif, A.A., 1997. Seasonality of major cabbage pests and incidence of their natural enemies in Central Kenya. In: Sivapragasam, A., Loke, W.H., Hussan, A.K., Lim, G.S. (Eds.), Proceedings of the 3rd International Workshop on Management of Diamondback Moth and Other Crucifer Pests. Kuala Lumpur, Malaysia, pp. 37-43.
26. Okadome, K., 1996. Simulation model for forecasting population fluctuations of the Diamondback moth in cabbage fields. In: Sivapragasam, A., Loke, W.H., Hussan, A.K., Lim, G.S. (Eds.), Proceedings of the 3rd International Workshop Management of Diamondback Moth and Other Crucifer Pests. Kuala Lumpur, Malaysia, pp. 145-152.
27. Ricker W.E. Stock and recruitment. J. Fish. Res. Bd. Can. 11 (1954) 559-623
28. Sarfraz M., Keddie A.B., and Dosdall L.M. Biological control of the diamondback moth, Plutella xylostella: a review. Biocontr. Sci. Tech. 15 (2005) 763-789
29. Shapiro, A.P., 1974. Mathematical Models of Competition. Management Information, vol. 10, Far East Institute of Management, Vladivostok, pp. 5-75 (in Russian).
30. Shapiro A.P., and Luppov S.P. Recurrence Equations in Theory of Population Biology (1983), Nauka, Moscow 133pp. (in Russian)
31. Skellam J.G. Random dispersal in theoretical populations. Biometrika 38 (1951) 196-218
32. Swed F.S., and Eisenhart C. Tables for testing randomness of grouping in a sequence of alternatives. Ann. Math. Stat. 14 (1943) 66-87
33. Tabashnik B.E., Cushing N.L., Finson N., and Johnson M.W. Field development of resistance to Bacillus thuringiensis in diamondback moth (Lepidoptera: Plutellidae). J. Econ. Entomol. 83 (1990) 1671-1676
34. Talekar N.S., and Shelton A.M. Biology, ecology, and management of the diamondback moth. Ann. Rev. Ent. 38 (1993) 275-301
35. Talekar N.S., Lee S.T., and Huang S.W. Intercropping and modification of irrigation method for the control of diamondback moth. In: Talekar N.S., and Griggs T.D. (Eds). Diamondback Moth Management: Proceedings of the 1st International Workshop (1986), AVRDC, Shanhua, Taiwan 146-151
36. Talekar N.S., Liu S., Chen C., and Yiin Y. Characteristics of oviposition of diamondback moth (Lepidoptera: Yponomeutidae). Zool. Stud. 33 (1994) 72-77
37. Ullyett G.C. Mortality factors in populations of Plutella maculipennis Curtis (Tinaeidae: Lep.), and their relation to the problem of control. Entomol. Mem., Dept. Agric. For., Union S. Afr. 2 (1947) 77-202
38. Verkerk R.H.J., and Wright D.J. Multitrophic interactions and management of the diamondback moth: a review. Bull. Ent. Res. 86 (1996) 205-216
39. Vickers R.A., Furlong M.J., White A., and Pell J.K. Initiation of fungal epizootics in diamondback moth populations within a large field cage: proof of concept of auto-dissemination. Entomol. Exp. Appl. 111 (2004) 1-17
40. Wakisaka, S., Tsukuda, R., Nakasuji, F., 1992. Effects of natural enemies, rainfall, temperature host plants on survival and reproduction of diamondback moth. In: Talekar, N.S. (Ed.), Proceedings of the 2nd International Workshop on Diamondback Moth Management, 10-14 December 1990. AVRDC, Tainan, Taiwan, pp. 15-26.
41. Wood S.N. Minimizing model fitting objectives that contain spurious local minima by bootstrap restarting. Biometrics 57 (2001) 240-244
42. Wood S.N. Partially specified ecological models. Ecol. Monogr. 71 (2001) 1-25