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Modelling development time of Myzus persicae (Hemiptera: Aphididae) at constant and natural temperatures

Published online by Cambridge University Press:  09 March 2007

Shu-sheng Liu*
Affiliation:
Department of Plant Protection, Hangzhou 310029, China
Xue-duo Meng
Affiliation:
Computing Centre, Zhejiang Agricultural University, Hangzhou 310029, China
*
*Fax: +86 571 6049815 E-mail: shshliu@zjau.edu.cn

Abstract

The development period from birth to adult of alate and apterous virginoparae of the green peach aphid, Myzus persicae (Sulzer), reared on Brassica campestrisssp. chinensis, was measured at 13 constant and five natural temperature regimes. The day–degree model, the logistic equation, and the Wang model were used to describe the relationships between temperature and development rate at constant conditions. The constant temperature–development curves derived from the three models were used with a Weibull function describing the distribution of development times, to simulate the development of individuals of cohorts reared at natural temperature regimes. Comparison of the observed with simulated distributions of adult emergence indicates that all three models can simulate the development of M. persicaevery well when the temperature does not go below 4°C, the notional low temperature threshold of the day–degree model. When accumulation of temperatures below 4°C becomes substantial, only the logistic curve with a low temperature threshold of 0°C can offer accurate simulations; the other two models give falsely longer durations of development. Methods for accurately simulating the development of M. persicae in the field are suggested. The significance of modelling insect development at low temperatures by nonlinear models is discussed.

Type
Review Article
Copyright
Copyright © Cambridge University Press 1999

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References

Andrewartha, H.G. & Birch, L.C. (1954) The distribution and abundance of animals. Chicago, The University of Chicago Press.Google Scholar
Avilla, J. & Copland, M.J.W. (1988) Development rate, number of mature oocytes at emergence and adult size of Encarsia tricolor at constant and variable temperatures. Entomophaga 33, 289298.CrossRefGoogle Scholar
Blackman, R.L. (1974) Life-cycle variation of Myzus persicae (Sulz.) (Homoptera, Aphididae) in different parts of the world, in relation to genotype and environment. Bulletin of Entomological Research 63, 595607.Google Scholar
Bursell, E. (1974) Environmental aspects – temperature. pp. 141in Rockstein, M. (Ed.) The physiology of Insecta, Vol II. New York, Academic Press.Google Scholar
Butler, G.D. Jr., Stinner, R.E. & Greene, G.L. (1976) Application of a thermodynamic model for the development of larvae of the cabbage looper (Lepidoptera: Noctuidae) at fluctuating temperatures. Florida Entomologist 59, 165169.CrossRefGoogle Scholar
Campbell, A., Frazer, B.D., Gilbert, N., Gutierrez, A.P. & Mackauer, M. (1974) Temperature requirements of some aphids and their parasites. Journal of Applied Ecology 11, 431438.CrossRefGoogle Scholar
Curry, G.L., Feldman, R.M. & Sharpe, P.J.H. (1978) Foundations of stochastic development. Journal of Theoretical Biology 74, 397410.CrossRefGoogle ScholarPubMed
Dallwitz, R. (1984) The influence of constant and fluctuating temperatures on development rate and survival of pupae of the Australian sheep blowfly Lucilia cuprina. Entomologia Experimentalis et Applicata 36, 8995.CrossRefGoogle Scholar
Davidson, J. (1944) On the relationships between temperature and rate of development of insects at constant temperatures. Journal of Animal Ecology 13, 2638.CrossRefGoogle Scholar
Fan, Y.Q., Groden, E. & Drummond, F.A. (1992) Temperature-dependent development of Mexican bean beetle (Coleoptera: Coccinellidae) under constant and variable temperatures. Journal of Economic Entomology 85, 1762–1700.CrossRefGoogle Scholar
Gilbert, N. (1988) Control of fecundity in Pieris rapae. V. Comparisons between populations. Journal of Animal Ecology, 57, 395410.Google Scholar
Gilbert, N. & Raworth, D.A. (1996) Insects and temperature – a general theory. Canadian Entomologist 128, 113.CrossRefGoogle Scholar
Harrington, R. & Cheng, X.N. (1984) Winter mortality, development and reproduction in a field population of Myzus persicae (Sulzer) (Hemiptera: Aphididae) in England. Bulletin of Entomological Research 74, 633640.Google Scholar
Howe, R.W. (1967) Temperature effects on embryonic development in insects. Annual Review of Entomology 12, 1542.Google Scholar
Hsu, Y.F. (1963) Observations on the overwintering habits of some species of aphids in Chunhking. Acta Entomologica Sinica 12, 658663.Google Scholar
Judd, G.J.R. & McBrien, H.L. (1994) Modelling temperature-dependent development and hatch of overwintered eggs of Campylomma verbasci (Heteroptera: Miridae). Environmental Entomology 23, 12241234.CrossRefGoogle Scholar
Kramer, D.A., Stinner, R.E. & Hain, F.P. (1991) Time versus rate in parameter estimation of non-linear temperature dependent development models. Environmental Entomology 20, 484488.Google Scholar
Lactin, D.J., Holliday, N.J., Johnson, D.L. & Craigen, R. (1995) Improved rate model of temperature-dependent development by arthropods. Environmental Entomology 24, 6875.CrossRefGoogle Scholar
Lamb, R.J. (1992) Developmental rate of Acyrthosiphon pisum (Homoptera: Aphididae) at low temperatures: implications for estimating rate parameters for insects. Environmental Entomology 21, 1019.CrossRefGoogle Scholar
Lewontin, R.C. (1965) Selection for colonizing ability. pp. 7791in Barker, H.G. & Stebbins, (Eds) The genetics of colonizing species. Proceedings of the First International Union of Biological Sciences Symposium on General Biology. New York and London, Academic Press.Google Scholar
Li, D.Q. (1995) Development and survival of Erigonidium graminicolum (Sundevall) (Araneae: Linyphiidae: Erigoninae) at constant temperatures. Bulletin of Entomological Research 85, 7991.Google Scholar
Lin, S., Hodson, A.C. & Richards, A.G. (1954) An analysis of threshold temperatures for the development of Oncopeltus and Tribolium eggs. Physiological Zoology 27, 287311.Google Scholar
Liu, S.S. (1987) A modified leaf-disc method for rearing aphids. (in Chinese) Entomological Knowledge 24, 113115.Google Scholar
Liu, S.S. (1994) Production of alatae in response to low temperature in aphids: a trait of seasonal adaptation. pp. 245261in Danks, H.V. (Ed) Insect life-cycle polymorphism. Dordrecht, Kluwer Academic Publishers.CrossRefGoogle Scholar
Liu, S.S. & Hughes, R.D. (1984) The relationships between temperature and rate of development in two geographic stocks of Aphidius sonchi. Entomologia Experimentalis et Applicata 36, 231238.Google Scholar
Liu, S.S. & Hughes, R.D. (1987) The influence of temperature and photoperiod on the development, survival and reproduction of the sowthistle aphid, Hyperomyzus lactucae. Entomologia Experimentalis et Applicata 43, 3138.Google Scholar
Liu, S.S. & Meng, X.D. (1990) A simulation study on the distributions of insect development time. Acta Ecologica Sinica 10, 160166.Google Scholar
Liu, S.S., Ma, Q., Li, Z.J. & Shi, Z.H. (1993) The pattern of seasonal abundance of aphids feeding on cruciferous vegetables in the suburbs of Hangzhou. Journal of Zhejiang Agricultural University 19, 4752.Google Scholar
Liu, S.S., Wang, X.G., Wu, X.J., Chen, Q.H., Hu, H.X. & Li, Z.Q. (1997) Population fluctuations of aphids on crucifer vegetables in Hangzhou suburbs. Chinese Journal of Applied Ecology 8, 510514.Google Scholar
Liu, S.S., Zhang, G.M. & Zhu, J. (1995) Influence of temperature variations on rate of development in insects: analysis of case studies from entomological literature. Annals of the Entomological Society of America 88, 107119.Google Scholar
Logan, J.A., Wollkind, D.J., Hoyt, S.C. & Tanigoshi, L.K. (1976) An analytic model for description of temperature dependent rate phenomena in arthropods. Environmental Entomology 5, 11331140.Google Scholar
Luo, L.Z. & Li, G.B. (1993) The threshold temperature, thermal constant and division of generation regions of meadow moth (Loxostege sticticalis L.) in China. Acta Entomologica Sinica 36, 332339.Google Scholar
Lysyk, T.J. (1989) A multiple-cohort model for simulating jack pine budworm (Lepidoptera: Tortricidae) development under variable temperature conditions. Canadian Entomologist 121, 373387.Google Scholar
Marquardt, D.W. (1963) An algorithm for least-squares estimation of nonlinear parameters. Journal of the Society of Industry and Applied Mathematics 11, 431441.Google Scholar
McClain, D.C., Rock, G.G. & Stinner, R.E. (1990) San Jose scale (Homoptera: Diaspididae): simulation of seasonal phenology in north Carolina orchards. Environmental Entomology 19, 916925.Google Scholar
McLeod, P. (1987) Effect of low temperature on Myzus persicae (Homoptera: Aphididae) on overwintering spinach. Environmental Entomology 16, 796801.Google Scholar
Phelps, R.J. & Burrows, P.M. (1969) Puparial duration in Glossina morsitans orientalis under conditions of constant temperature. Entomologia Experimentalis et Applicata 12, 3343.CrossRefGoogle Scholar
Pozarowska, B.J. (1987) Studies on low temperature survival, reproduction and development in Scottish clones of Myzus persicae (Sulzer) and Aulacorthum solani (Kaltenbach) (Hemiptera: Aphididae) susceptible and resistant to organophosphates. Bulletin of Entomological Research 77, 123134.CrossRefGoogle Scholar
Pruess, K.P. (1983) Day-degree methods for pest management. Environmental Entomology 12, 613619.CrossRefGoogle Scholar
Raworth, D.A. (1984a) Population dynamics of the cabbage aphid, Brevicoryne brassicae (Homoptera: Aphididae) at Vancouver, British Columbia. II. Development, fecundity, and longevity. Canadian Entomologist 116, 871878.CrossRefGoogle Scholar
Raworth, D.A. (1984b) Population dynamics of the cabbage aphid, Brevicoryne brassicae (Homoptera: Aphididae) at Vancouver, British Columbia. V. A simulation model. Canadian Entomologist 116, 895911.Google Scholar
Schoolfield, R.M., Sharpe, P.J.H. & Magnuson, C.E. (1981) Nonlinear regression of biological temperature-dependent rate models based on absolute reaction-rate theory. Journal of Theoretical Biology 88, 719731.Google Scholar
Sharpe, P.J.H. & DeMichele, D.W. (1977) Reaction kinetics of poikilotherm development. Journal of Theoretical Biology 64, 649670.CrossRefGoogle ScholarPubMed
Sharpe, P.J.H., Curry, G.L., DeMichele, D.W. & Cole, C.L. (1977) Distribution model of organisms development times. Journal of Theoretical Biology 66, 2138.Google Scholar
Stinner, R.E., Butler, G.D., Bacheler, J.S. & Tutle, C. (1975) Simulation of temperature-dependent development in population dynamics models. Canadian Entomologist 107, 11671174.CrossRefGoogle Scholar
Stinner, R.E., Rock, G.C. & Bacheler, J.E. (1988) Tufted apple budmoth (Lepidoptera: Tortricidae): simulation of postdiapause development and prediction of spring adult emergence in north Carolina. Environmental Entomology 17, 271274.Google Scholar
Wagner, T.L., Wu, H.I., Feldman, M., Sharpe, P.J.H. & Coulson, R.N. (1985) Multiple-cohort approach for simulating development of insect populations under variable temperatures. Annals of the Entomological Society of America 78, 691704.Google Scholar
Wagner, T.L., Wu, H.I., Sharpe, P.J.H. & Coulson, R.N. (1984) Modelling distributions of insect development times: a literature review and application of the Weibull function. Annals of the Entomological Society of America 77, 475487.CrossRefGoogle Scholar
Wang, R.S., Lan, Z.X. & Ting, Y.C. (1982) Studies on mathematical models of the relationships between insect development and temperature. Acta Ecologica Sinica 2, 4757.Google Scholar
Whalon, M.E. & Smilowitz, Z.S. (1979) Temperature-dependent model for predicting field populations of green peach aphid, Myzus persicae (Homoptera: Aphididae). Canadian Entomologist 111, 10251032.CrossRefGoogle Scholar