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Time series analysis of variation in abundance of selected cocoa insects and fitting of simple linear predictive models

Published online by Cambridge University Press:  10 July 2009

M Bigger
M Bigger
Affiliation:
Natural Resources Institute, Chatham, UK
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Abstract

A plot of cocoa trees at the Cocoa Research Institute, Tafo, Ghana, was inspected weekly for the presence on each tree of 18 species of insects. The 306 consecutive weekly records of percentage of trees occupied by each species were subjected to time series analysis. Auto-correlation and partial auto-correlation functions were calculated for each series and used to identify simple autoregressive linear models to account for the serial correlation. It was found that all species needed a stabilizing autoregressive parameter of lag 1 and all but four a second autoregressive parameter of lag 2. Seasonal autoregressive parameters at lags 3, 4, 5, 7, 9, or 13 were needed for over half the species, either in addition to the parameter at lag 2 or in place of it. It is postulated that these seasonal parameters mimic generation cycles. Runs of the models using random inputs produced series which were close to the originals in general form. The models could be further refined by adjusting the fixed mean levels assumed by the models to take into account the effects due to the abundance of young extension growth on the trees and atmospheric moisture, as measured by afternoon relative humidity readings. Although the production of extension growth is cyclical it would seem that it does not induce the cyclical behaviour observed in some of the insect series. The peaks in the latter cycles are, however, reinforced when they coincide with peaks in extension growth.

Type
Original Articles
Information
Bulletin of Entomological Research , Volume 83 , Issue 2 , June 1993 , pp. 153 - 169
Copyright
Copyright © Cambridge University Press 1993

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References

Akotoye, N.A.K. (1978) Biology of the mealybug, Phenacoccus hargreavesi. Cocoa Research Institute of Ghana Annual Report 1975–76, 67–68.Google Scholar
Akotoye, N.A.K. (1984) Biology of mealybugs. Cocoa Research Institute of Ghana Annual Report 1976/77–1978/79, 72–75.Google Scholar
Asomaning, E.J.A., Kwakwa, R.S. & Hutcheon, W.V. (1971) Physiological studies on an Amazon shade and fertilizer trial at the Cocoa Research Institute, Ghana. Ghana Journal of Agricultural Science 4, 47–64.Google Scholar
Beeson, C.F.C. (1941) The ecology and control of the forest insects of India and the neighbouring countries. 1007 pp. Dehra Dun, Vasant Press.Google Scholar
Bigger, M. (1973) An investigation by fourier analysis into the interaction between coffee leaf-miners and their larval parasites. Journal of Animal Ecology 42, 417–434.CrossRefGoogle Scholar
Bigger, M. (1976) Mealybug studies. Cocoa Research Institute of Ghana Annual Report 1973/74, 107–118.Google Scholar
Bigger, M. (1981) The relative abundance of the mealybug vectors of cocoa swollen shoot disease in Ghana. Bulletin of Entomological Research 71, 435–448.CrossRefGoogle Scholar
Bigger, M. (1993) Ant - homopteran interactions in a tropical ecosystem. Description of an experiment on cocoa in Ghana. Bulletin of Entomological Research, 83.CrossRefGoogle Scholar
Bigger, M. & Tapley, R.G. (1969) Prediction of outbreaks of coffee leaf-miners on Kilimanjaro. Bulletin of Entomological Research 58, 601–617.CrossRefGoogle Scholar
Box, G.E.P. & Jenkins, G.M. (1976) Time series analysis, forecasting and control. 575 pp. San Francisco, Holden Day.Google Scholar
Cotterell, G.S. (1926) Preliminary studies on the life history and habits of Sahlbergella singularis Hagl. & S. theobroma Dist. attacking cocoa in the Gold Coast with suggested control measures. Bulletin of the Department of Agriculture of the Gold Coast 3, 1–26.Google Scholar
Diggle, P.J. (1990) Time-series. A biostatistical introduction. 257 pp. Oxford, Clarendon Press.CrossRefGoogle Scholar
Entwistle, P.F. (1971) Pests of cocoa. 779 pp. London, Longman.Google Scholar
Gibbs, D.G. & Pickett, A.D. (1966) Feeding by Distantiella theobroma (Dist.) Heteroptera Miridae on cocoa. I: The effects of water stress in the plant. Bulletin of Entomological Research 57, 159–169.CrossRefGoogle Scholar
Godfray, H.C.J. & Hassell, M.P. (1987) Natural enemies may be a cause of discrete generations in tropical insects. Nature, London 327, 144–147.CrossRefGoogle Scholar
Godfray, H.C.J. & Hassell, M.P. (1989) Discrete and continuous insect populations in tropical environments. Journal of Animal Ecology 58, 153–174.CrossRefGoogle Scholar
Greenwood, M. & Posnette, A.F. (1950) The growth flushes of cacao. Journal of Horticultural Science 25, 164–174.CrossRefGoogle Scholar
Hutcheon, W.V. (1977) Water relations and other factors regulating the seasonal periodicity and production of cocoa in Ghana. Proceedings of the Fifth International Cocoa Research Conference, 1975,233–244.Google Scholar
Legg, J.T. (1981) The cocoa swollen-shoot research project at the Cocoa Research Institute, Tafo, Ghana 1969–1978. Technical report Volume 4, Section 6. 199 pp. London, Overseas Development Administration.Google Scholar
Leslie, P.H. (1945) On the use of matrices in certain population mathematics. Biometrika 33, 183–212.CrossRefGoogle ScholarPubMed
Mariau, D. & Morin, J.P. (1972) La biologie de Coelaenomedera elaeidis. IV. La dynamique des populations du ravegeur et de ses parasites. Oléagineaux 27, 469–474.Google Scholar
Notley, F.B. (1948) The Leucoptera leaf miners of coffee on Kilimanjaro. I. Leucoptera coffeella. Guer. Bulletin of Entomological Research 39, 399–416.CrossRefGoogle ScholarPubMed
Notley, F.B. (1956) The Leucoptera leaf miners of coffee on Kilimanjaro. II. Leucoptera caffeina. Washbn. Bulletin of Entomological Research 46, 899–912.CrossRefGoogle Scholar
Perera, P.A.C.R., Hassell, M.P. & Godfray, H.C.J. (1988) Population dynamics of the coconut caterpillar (Opisina arenosella Walker) in Sri Lanka. Bulletin of Entomological Research 78, 479–492.CrossRefGoogle Scholar
Posnette, A.F. (1950) Virus diseases of cacao in West Africa. VII. Virus transmission by different vector species. Annals of Applied Biology 37, 378–384.CrossRefGoogle Scholar
Strickland, A.H. (1951) The entomology of swollen shoot of cocoa. I. - The insect species involved, with notes on their biology. Bulletin of Entomological Research 41, 725–748.CrossRefGoogle Scholar
Wolda, H. (1978) Seasonal fluctuations in rainfall, food and abundance of tropical insects. Journal of Animal Ecology 47, 369–381.CrossRefGoogle Scholar