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Suggestions for Further ReadingBooks on population cycles.Charles Elton (1927). Animal Ecology. Sidgwick & Jackson, Ltd., London.C. Elton (1942). Voles, Mice, and Lemmings. Oxford University Press, Oxford. J. P. Finerty (1980). The Population Ecology of Cycles in Small Mammals. Yale University Press, New Haven. L. B. Keith (1963). Wildlife's Ten-Year Cycle. University of Wisconsin Press, Madison. Review articles.E. Korpimäki & C. J. Krebs (1996). `Predation and population cycles of small mammals: A reassessment of the predation hypothesis'. BioScience 46:754-64.C. J. Krebs & J. H. Myers (1974). `Population cycles in small mammals'. Adv. Ecol. Res. 8:267-399. K. Norrdahl (1995). `Population cycles in northern small mammals'.
Biological research articles & monographs.W. Baltensweiler (1968). `The cyclic population dynamics of the grey larch tortrix, Zeiraphera griseana Hübner (= Semasia diniana Guenée) (Lepidoptera : Tortricidae)'. Symp. R. ent. Soc. Lond. 4:88-97.M. Decoppet (1920). Le Hanneton. Librarie Payot & Cie., Lausanne. [French, ``publié sous les auspices du Département fédéral de l'Intériur'']. C. Elton (1924). `Periodic fluctuations in the number of animals; their causes and effects'. Brit. J. Exp. Biol. 2:119-163. C. S. Elton & M. Nicholson (1942). `The ten-year cycle in numbers of the lynx in Canada'. J. Anim. Ecol. 11:215-244. A. N. Formozov (1935). Fluctuations in the Numbers of Economically Exploited Animals, vol. 94 of English Translations of Russian Zoological Literature. All-Union Co-op. Union Publ. House, Leningrad. Transl. from the Russian by J. D. Jackson, 1941 for the Bureau of Animal Population, Oxford University. T. F. Hansen, N. C. Stenseth, & H. Henttonen (1999). 'Multiannual vole cycles and population regulation during long winters: an analysis of seasonal density dependence'. Am. Nat. in press. L. Hansson & H. Henttonen (1985). `Gradients in density variations of small rodents: the importance of latitude and snow cover'. Oecologia 67:394-402. N. C. Stenseth & R. A. Ims (1993a). `The history of lemming research: from the Nordic Sagas to The Biology of Lemmings'. In N. C. Stenseth & R. A. Ims (eds.), The Biology of Lemmings, chap. 1. Linnean Society, London. N. C. Stenseth & R. A. Ims (1993b). `Population dynamics of lemmings: temporal and spatial variation -- an introduction'. In N. C. Stenseth & R. A. Ims (eds.), The Biology of Lemmings, chap. 4. Linnean Society, London. G. C. Varley (1949). `Population changes in German forest pests'. J. Anim. Ecol. 18:117-122. Mathematical models.A. Gragnani & S. Rinaldi (1995). `A universal bifurcation diagram for seasonally perturbed predator-prey models'. Bull. Math. Biol. 57:701-712.S. M. Henson & J. M. Cushing (1997). `The effect of periodic habitat fluctuations on a nonlinear insect population model'. J. Math. Biol. 36:201-226. A. A. King (1999). Hamiltonian Limits and Subharmonic Resonance in Models of Population Fluctuations. Ph.D. thesis, University of Arizona. A. A. King & W. M. Schaffer (1999). `The rainbow bridge: Hamiltonian limits and resonance in predator-prey dynamics'. J. Math. Biol. in press. A. A. King, W. M. Schaffer, J. Treat, C. Gordon, & M. Kot (1996). `Weakly dissipative predator-prey systems'. Bull. Math. Biol. 58:835-860. A. J. Lotka (1920). `Undamped oscillations derived from the law of mass action'. J. Amer. Chem. Soc. 42:1595-1598. S. Rinaldi, S. Muratori, & Y. A. Kuznetsov (1993). `Multiple attractors, catastrophes, and chaos in seasonally perturbed predator-prey communities'. Bull. Math. Biol. 55:15-35. M. L. Rosenzweig & R. H. MacArthur (1963). `Graphical representation and stability conditions of predator-prey interactions'. Am. Nat. 97:209-223. W. M. Schaffer (1988). `Perceiving order in the chaos of nature'. In M. S. Boyce (ed.), Evolution of Life Histories of Mammals, pp. 313-350. Yale University Press, New Haven. V. Volterra (1926). `Fluctuations in abundance of a species considered mathematically'. Nature 118:558-60.
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