
Suggestions for Further Reading
Books 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'.
Biol. Rev. Camb. Phil. Soc. 70:621-37.
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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