Visibility of the environmental noise modulating population dynamics

Characterizing population fluctuations and their causes is a major theme in population ecology. The debate is on the relative merits of density–dependent and density–independent effects. One paradigm (revived by the research on global warming and its relation to long-term population data) states that fluctuations in population densities can often be accounted for by external noise. Several empirical models have been suggested to support this view. We followed this by assuming a given population skeleton dynamics (Ricker dynamics and second-order autoregressive dynamics) topped off with noise composed of low–and high–frequency components. Our aim was to determine to what extent the modulated population dynamics correlate with the noise signal. High correlations (with time–lag 71) were observed with both model categories in the region of stable dynamics, but not in the region of periodic or complex dynamics. This finding is not very sensitive to low–frequency noise. High correlations throughout the entire range of dynamics are only achievable when the impact of the noise is very high. Fitted parameter values of skeleton dynamics modulated with noise are prone to err substantially. This casts doubt as to what degree the underlying dynamics are any more recognizable after being modulated by the external noise.

[1]  M. Stanton,et al.  CONSEQUENCES OF EMERGENCE PHENOLOGY FOR REPRODUCTIVE SUCCESS IN RANUNCULUS ADONEUS (RANUNCULACEAE) , 1991 .

[2]  T. Slagsvold,et al.  Autumn population size of the capercaillie Tetrao urogallus in relation to weather , 1979 .

[3]  N. Stenseth,et al.  Global climate change and phenotypic variation among red deer cohorts , 1997, Proceedings of the Royal Society of London. Series B: Biological Sciences.

[4]  J. Dippner Recruitment success of different fish stocks in the North Sea in relation to climate variability , 1997 .

[5]  N. Stenseth,et al.  Population dynamics of Norwegian red deer: density–dependence and climatic variation , 1998, Proceedings of the Royal Society of London. Series B: Biological Sciences.

[6]  T. Royama,et al.  Analytical Population Dynamics , 1994, Population and Community Biology Series.

[7]  J. Hurrell Decadal Trends in the North Atlantic Oscillation: Regional Temperatures and Precipitation , 1995, Science.

[8]  F. S. Bodenheimer,et al.  Problems of animal ecology , 1939 .

[9]  J. Lindström Weather and grouse population dynamics , 1996, Wildlife Biology.

[10]  Robert M. May,et al.  Models for single populations , 1981 .

[11]  P. Jones,et al.  An Extension of the TahitiDarwin Southern Oscillation Index , 1987 .

[12]  J. Swenson,et al.  Effects of Weather on Hazel Grouse Reproduction: An Allometric Perspective , 1994 .

[13]  A. Stokes,et al.  The Problem of the Short-Term Fluctuations in Numbers of Tetraonids in Europe , 1958 .

[14]  External disturbances and population dynamics , 1997 .

[15]  A. Belgrano,et al.  North Atlantic Oscillation primary productivity and toxic phytoplankton in the Gullmar Fjord, Sweden (1985–1996) , 1999, Proceedings of the Royal Society of London. Series B: Biological Sciences.

[16]  James E. Hines,et al.  Stochastic seasonality and nonlinear density-dependent factors regulate population size in an African rodent , 1997, Nature.

[17]  T. Royama Population Persistence and Density Dependence , 1977 .

[18]  N. Stenseth,et al.  Microtine Density and Weather as Predictors of Chick Production in Willow Ptarmigan, Lagopus l. lagopus , 1988 .

[19]  Jonathan D. Cryer,et al.  Time Series Analysis , 1986 .

[20]  V. Kaitala,et al.  A General Theory of Environmental Noise in Ecological Food Webs , 1998, The American Naturalist.

[21]  Peter Turchin,et al.  Population Regulation" Old Arguments and a New Synthesis , 1995 .

[22]  Eberhard Hagen,et al.  Long‐term climate forcing of European herring and sardine populations , 1997 .

[23]  N. Stenseth,et al.  Population ecology and the North Atlantic Oscillation (NAO) , 1999 .

[24]  C. Krebs,et al.  Can the Solar Cycle and Climate Synchronize the Snowshoe Hare Cycle in Canada? Evidence from Tree Rings and Ice Cores , 1993, The American Naturalist.

[25]  K. Trenberth,et al.  Global variations in droughts and wet spells: 1900–1995 , 1998 .

[26]  P. C. Reid,et al.  Phytoplankton change in the North Atlantic , 1998, Nature.

[27]  V. Jansen,et al.  COMPLEX DYNAMICS IN STOCHASTIC TRITROPHIC MODELS , 1998 .

[28]  P. Turchin Population regulation : a synthetic view , 1999 .

[29]  Timothy J. Hoar,et al.  The 1990–1995 El Niño‐Southern Oscillation Event: Longest on Record , 1996 .

[30]  Kevin D. Friedland,et al.  Marine survival of North American and European Atlantic salmon: effects of growth and environment , 1993 .

[31]  W. Nelson,et al.  Do Climatic Oscillations Influence Cyclical Patterns of Soft Bottom Macrobenthic Communities on the Swedish West Coast , 1998 .

[32]  Fabian M Jaksic,et al.  El Nino events, precipitation patterns, and rodent outbreaks are statistically associated in semiarid Chile , 1999 .

[33]  B. Planque,et al.  Calanus and environment in the eastern North Atlantic. 2. Role of the North Atlantic Oscillation on Calanus finmarchicus and C. helgolandicus , 1996 .

[34]  Nils Chr. Stenseth,et al.  CLIMATIC VARIABILITY, PLANT PHENOLOGY, AND NORTHERN UNGULATES , 1999 .

[35]  N. Rashevsky,et al.  Mathematical biology , 1961, Connecticut medicine.

[36]  I. Kröncke,et al.  Long-term changes in macrofaunal communities off Norderney (East Frisia, Germany) in relation to climate variability , 1998 .

[37]  T. Clutton‐Brock,et al.  Noise and determinism in synchronized sheep dynamics , 1998, Nature.