Ontogenetic scaling of foraging rates and the dynamics of a size-structured consumer-resource model.

The ontogenetic scaling of foraging capacity strongly influences the competitive ability of differently sized individuals within a species. We develop a physiologically structured model to investigate the effect of different ontogenetic size scalings of the attack rate on the population dynamics of a consumer-resource system. The resource is assumed to reproduce continuously whereas the consumer only reproduces at discrete time instants. Depending on the ontogenetic size scaling, the model exhibited recruit-driven cycles, stable fixed point dynamics, non-recruit juvenile-driven cycles, quasiperiodic orbits, or chaotic dynamics. The kind of dynamics observed was related to the maintenance resource levels required of differently sized individuals. Stable fixed point dynamics was, besides at the persistence boundary, only observed when the minimum resource levels were similar for newborns and mature individuals. The tendency for large population fluctuations over a wide range of the parameter space was due to the consumer's pulsed reproduction. Background mortality and length of season were major determinants of cycle length. Model dynamics strongly resembled empirically observed dynamics from fish and Daphnia populations with respect to both patterns and mechanisms. The non-recruit juvenile-driven dynamics is suggested to occur in populations with size-dependent interference or preemptive competition like cicada populations.

[1]  Shripad Tuljapurkar,et al.  Structured-Population Models in Marine, Terrestrial, and Freshwater Systems , 1997, Population and Community Biology Series.

[2]  André M. de Roos,et al.  A Gentle Introduction to Physiologically Structured Population Models , 1997 .

[3]  G. Odell,et al.  Size-Dependent Cannibalism in Praying Mantids: Using Biomass Flux to Model Size-Structured Populations , 1996, The American Naturalist.

[4]  R. Nisbet,et al.  Dynamic Energy Budgets , 1995 .

[5]  L. Fuiman.  The interplay of ontogeny and scaling in the interactions of fish larvae and their predators , 1994 .

[6]  W. Gurney,et al.  Modelling compensatory growth , 1994 .

[7]  N. Perrin,et al.  Size-dependent predation by Dugesia lugubris (Turbellaria) on Physa acuta (Gastropoda): experiments and model , 1994 .

[8]  R. Nisbet,et al.  Population dynamic consequences of competition within and between age classes , 1994 .

[9]  E. Werner.  Ontogenetic Scaling of Competitive Relations: Size‐Dependent Effects and Responses in Two Anuran Larvae , 1994 .

[10]  L. Persson,et al.  Optimal Body Size and Resource Density , 1993 .

[11]  J. Toivonen,et al.  Year-Class Fluctuations of Vendace (Coregonus albula) in Lake Pyhäjärvi, Southwest Finland, during 1971–90 , 1993 .

[12]  E. Mccauley.  Internal Versus External Causes of Dynamics in a Freshwater Plant-Herbivore System , 1993, The American Naturalist.

[13]  Sebastiaan A.L.M. Kooijman,et al.  Dynamic energy budgets in biological systems , 1993 .

[14]  Odo Diekmann,et al.  Perturbing semigroups by solving Stieltjes renewal equations , 1993, Differential and Integral Equations.

[15]  Jim M Cushing,et al.  Intra-specific competition and density dependent juvenile growth , 1992 .

[16]  H. Jones,et al.  Gill dimensions, water pumping rate and body size in the mussel Mytilus edulis L. , 1992 .

[17]  O. Diekmann,et al.  Studying the Dynamics of Structured Population Models: A Versatile Technique and Its Application to Daphnia , 1992, The American Naturalist.

[18]  W. C. Leggett,et al.  Age and size-selective predation on larval fishes: the bigger-is-better hypothesis revisited , 1992 .

[19]  G. Polis,et al.  Complex Trophic Interactions in Deserts: An Empirical Critique of Food-Web Theory , 1991, The American Naturalist.

[20]  Jim M Cushing,et al.  Juvenile versus adult competition , 1991 .

[21]  Johan A. J. Metz,et al.  A size dependent predator-prey interaction: who pursues whom? , 1990 .

[22]  William J. Sutherland,et al.  A MODELLING INVESTIGATION OF POPULATION CYCLES IN THE FISH RUTILUS RUTILUS , 1990 .

[23]  Consumption, growth and respiration of bleak, Alburnus alburnus (L.), and roach, Rutilus rutilus (L.), during early ontogeny , 1990 .

[24]  R. Kaufmann.  RESPIRATORY COST OF SWIMMING IN LARVAL AND JUVENILE CYPRINIDS , 1990 .

[25]  William Gurney,et al.  The physiological ecology of Daphnia: a dynamic model of growth and reproduction , 1990 .

[26]  W. Gurney,et al.  THE PHYSIOLOGICAL ECOLOGY OF DAPHNIA: DEVELOPMENT OF A MODEL OF GROWTH AND REPRODUCTION' , 1990 .

[27]  L. Greenberg,et al.  Juvenile Competitive Bottlenecks: The Perch (Perca Fluviatilis)-Roach (Rutilus Rutilus) Interaction , 1990 .

[28]  William W. Murdoch,et al.  Predator–prey dynamics in environments rich and poor in nutrients , 1990, Nature.

[29]  A. De Roos,et al.  Numerical methods for structured population models: The Escalator Boxcar Train , 1988 .

[30]  William W. Murdoch,et al.  Simple Models and Variation in Plankton Densities Among Lakes , 1988, The American Naturalist.

[31]  W. Wieser,et al.  Growth Rates and Growth Efficiencies in Larvae and Juveniles of Rutilus rutilus and Other Cyprinid Species: Effects of Temperature and Food in the Laboratory and in the Field , 1988 .

[32]  W. Calder.  Size, Function, and Life History , 1988 .

[33]  Johan A. J. Metz,et al.  Population models incorporating physiological structure: a quick survey of the basic concepts and an application to size-structured population dynamics in waterfleas , 1988 .

[34]  B. Ebenman.  Dynamics of age- and size-structured populations : intraspecific competition , 1988 .

[35]  J. Godin,et al.  5 Ontogeny of Behavior and Concurrent Developmental Changes in Sensory Systems in Teleost Fishes , 1988 .

[36]  R. Norberg.  Self-Thinning of Plant Populations Dictated by Packing Density and Individual Growth Geometry and Relationships Between Animal Population Density and Body Mass Governed by Metabolic Rate , 1988 .

[37]  H. Wilbur.  Interactions Between Growing Predators and Growing Prey , 1988 .

[38]  A. Keast,et al.  The effect of prey morphology and size on handling time in a piscivore, the largemouth bass (Micropterus salmoides) , 1987 .

[39]  Lennart Persson,et al.  The Effects of Resource Availability and Distribution on Size Class Interactions in Perch, Perca fluviatilis , 1987 .

[40]  W. Murdoch,et al.  Cyclic and Stable Populations: Plankton as Paradigm , 1987, The American Naturalist.

[41]  A. King,et al.  an Ontogenetic Niche . , 1987 .

[42]  O. Diekmann,et al.  The Dynamics of Physiologically Structured Populations , 1986 .

[43]  L. Persson,et al.  Asymmetrical competition between age classes as a factor causing population oscillations in an obligate planktivorous fish species , 1986 .

[44]  C. Townsend,et al.  Reciprocal interactions between roach, Rutilus rutilus, and zooplankton in a small lake: Prey dynamics and fish growth and recruitment1 , 1986 .

[45]  Tong Heyi.  A qualitative and quantitative description of the early growth of roach, Rutilus rutilus, in the laboratory , 1986 .

[46]  L. Persson.  Asymmetrical Competition: Are Larger Animals Competitively Superior? , 1985, The American Naturalist.

[47]  W. Murdoch,et al.  Three distinct types of dynamic behaviour shown by a single planktonic system , 1985, Nature.

[48]  E. Werner,et al.  THE ONTOGENETIC NICHE AND SPECIES INTERACTIONS IN SIZE-STRUCTURED POPULATIONS , 1984 .

[49]  D. J. Hall,et al.  Experimental Tests of Optimal Habitat Use in Fish: The Role of Relative Habitat Profitability , 1983 .

[50]  R. Peters.  The Ecological Implications of Body Size , 1983 .

[51]  J. Breck,et al.  Effect of Fish Size on the Reactive Distance of Bluegill (Lepomis macrochirus) Sunfish , 1983 .

[52]  S. Levin.  Lectu re Notes in Biomathematics , 1983 .

[53]  O. Lessmark.  Competition between perch (Perca fluviatilis) and roach (Rutilus rutilus) in south Swedish lakes , 1983 .

[54]  K. Sebens.  THE LIMITS TO INDETERMINATE GROWTH: AN OPTIMAL SIZE MODEL APPLIED TO PASSIVE SUSPENSION FEEDERS' , 1982 .

[55]  G. Mittelbach.  Foraging Efficiency and Body Size: A Study of Optimal Diet and Habitat Use by Bluegills , 1981 .

[56]  C. Goldspink.  The population density, growth rate and production of roach Rutilus mtilus (L.) in Tjeukemeer, The Netherlands , 1979 .

[57]  K. Hyatt.  2 - Feeding Strategy , 1979 .

[58]  M. G. Bulmer,et al.  Periodical Insects , 1977, The American Naturalist.

[59]  F C Hoppensteadt,et al.  Synchronization of periodical cicada emergences. , 1976, Science.

[60]  D. Wilson.  The Adequacy of Body Size as a Niche Difference , 1975, The American Naturalist.

[61]  J. M. Elliott.  The Growth Rate of Brown Trout (Salmo trutta L.) Fed on Reduced Rations , 1975 .

[62]  F. Beamish.  Apparent Specific Dynamic Action of Largemouth Bass, Micropterus salmoides , 1974 .

[63]  T. Schoener.  Models of Optimal Size for Solitary Predators , 1969, The American Naturalist.