Food webs in space: On the interplay of dynamic instability and spatial processes

Ecologists increasingly recognize that a consideration of spatial dynamics is essential for resolving many classical problems in community ecology. In the present paper, I argue that understanding how trophic interactions influence population stability can have important implications for the expression of spatial processes. I use two examples to illustrate this point. The first example has to do with spatial determinants of food chain length. Prior theoretical and empirical work has suggested that colonization–extinction dynamics can influence food chain length, at least for specialist consumers. I briefly review evidence and prior theory that food chain length is sensitive to area. A metacommunity scenario, in which each of various patches can have a food chain varying in length (but in which a consumer is not present on a patch unless its required resource is also present), shows that alternative landscape states are possible. This possibility arises if top predators moderate unstable interactions between intermediate predators and basal resources. The second example has to do with the impact of recurrent immigration on the stability of persistent populations. Immigration can either stabilize or destabilize local population dynamics. Moreover, an increase in immigration can decrease average population size for unstable populations with direct density-dependence, or in predator–prey systems with saturating functional responses. These theoretical models suggest that the interplay of temporal variation and spatial fluxes can lead to novel qualitative phenomena.

[1]  Peter A. Abrams,et al.  The Effects of Enrichment of Three‐Species Food Chains with Nonlinear Functional Responses , 1994 .

[2]  M. Ritchie Biodiversity and reduced extinction risks in spatially isolated rodent populations , 1999 .

[3]  Lewi Stone,et al.  Period-doubling reversals and chaos in simple ecological models , 1993, Nature.

[4]  Peter Kareiva,et al.  Spatial ecology : the role of space in population dynamics and interspecific interactions , 1998 .

[5]  L. Oksanen,et al.  Long-term dynamics of voles and lemmings at the timberline and above the willow limit as a test of hypotheses on trophic interactions , 2001 .

[6]  Vincent A. A. Jansen,et al.  Regulation of predator-prey systems through spatial interactions:a possible solution to the paradox of enrichment. , 1995 .

[7]  Richard Law,et al.  Regional Species Pools and the Assembly of Local Ecological Communities , 1997 .

[8]  R. Macarthur,et al.  Graphical Representation and Stability Conditions of Predator-Prey Interactions , 1963, The American Naturalist.

[9]  I. Hanski,et al.  Forest fragmentation truncates a food chain based on an old‐growth forest bracket fungus , 2000 .

[10]  Robert M. May,et al.  Time‐Delay Versus Stability in Population Models with Two and Three Trophic Levels , 1973 .

[11]  D. Schneider Predation and food web structure along a habitat duration gradient , 1997, Oecologia.

[12]  P. Yodzis The Indeterminacy of Ecological Interactions as Perceived Through Perturbation Experiments , 1988 .

[13]  M. Spencer,et al.  The effects of habitat size and productivity on food web structure in small aquatic microcosms , 1996 .

[14]  McIntosh,et al.  Disturbance, resource supply, and food-web architecture in streams , 1998 .

[15]  Gregory M. Mikkelson How do food webs fall apart? A study of changes in trophic structure during relaxation on habitat fragments , 1993 .

[16]  Mark V. Lomolino,et al.  Species Diversity in Space and Time. , 1996 .

[17]  Michael Doebeli,et al.  DISPERSAL AND DYNAMICS , 1995 .

[18]  R. Holt A neglected facet of island biogeography: The role of internal spatial dynamics in area effects , 1992 .

[19]  Joel E. Cohen,et al.  A Stochastic Theory of Community Food Webs , 1990 .

[20]  M. Rosenzweig,et al.  Exploitation in Three Trophic Levels , 1973, The American Naturalist.

[21]  T. Tscharntke,et al.  Butterfly community structure in fragmented habitats , 2000 .

[22]  Michael P. Hassell,et al.  The Spatial and Temporal Dynamics of Host-Parasitoid Interactions , 2000 .

[23]  G. Ruxton,et al.  Population Floors and the Persistence of Chaos in Ecological Models. , 1998, Theoretical population biology.

[24]  I. Hanski,et al.  Host diet affects extinctions and colonizations in a parasitoid metapopulation , 1999 .

[25]  R. Whittaker,et al.  Structure in re-building insular ecosystems: an empirically derived model , 1994 .

[26]  T. Schoener,et al.  Variation in the hymenopteran parasitoid fraction on Bahamian islands , 1995 .

[27]  A. J,et al.  The Effects of a Pool of Dispersers on Host-parasitoid Systems , 1997 .

[28]  J. Roland,et al.  Insect parasitoid species respond to forest structure at different spatial scales , 1997, Nature.

[29]  Thomas W. Schoener,et al.  Food Webs From the Small to the Large: The Robert H. MacArthur Award Lecture , 1989 .

[30]  M. Hassell,et al.  The effects of a pool of dispersers on host-parasitoid systems. , 1997, Journal of theoretical biology.

[31]  Julie L. Lockwood,et al.  Assembling Ecological Communities in Time and Space , 1997 .

[32]  L. Stone,et al.  Effects of immigration on the dynamics of simple population models. , 1999, Theoretical population biology.

[33]  J. Lawton,et al.  Number of trophic levels in ecological communities , 1977, Nature.

[34]  Neo D. Martinez,et al.  TROPHIC RANK AND THE SPECIES-AREA RELATIONSHIP , 1999 .

[35]  H. B. Wilson,et al.  Persistence and Area Effects in a Stochastic Tritrophic Model , 1998, The American Naturalist.

[36]  Michael L. Rosenzweig,et al.  Species Diversity in Space and Time , 1997 .

[37]  M. Holyoak Habitat subdivision causes changes in food web structure , 2000 .

[38]  W. Wilson,et al.  Pattern Formation and the Spatial Scale of Interaction between Predators and Their Prey. , 1998, Theoretical population biology.

[39]  H. Olff,et al.  Spatial scaling laws yield a synthetic theory of biodiversity , 1999, Nature.

[40]  R. Macarthur,et al.  The Theory of Island Biogeography , 1969 .

[41]  R. May Food webs. , 1983, Science.

[42]  K. McCann,et al.  Food Web Stability: The Influence of Trophic Flows across Habitats , 1998, The American Naturalist.

[43]  H. McCallum,et al.  Effects of immigration on chaotic population dynamics , 1992 .

[44]  Michael L. Pace,et al.  Ecosystem size determines food-chain length in lakes , 2022 .

[45]  M. Hassell,et al.  The effects of metapopulation structure on indirect interactions in host-parasitoid assemblages , 2000, Proceedings of the Royal Society of London. Series B: Biological Sciences.

[46]  C. Newman,et al.  Community Area and Food-Chain Length: Theoretical Predictions , 1991, The American Naturalist.

[47]  M. Murakami,et al.  Reciprocal subsidies: dynamic interdependence between terrestrial and aquatic food webs. , 2001, Proceedings of the National Academy of Sciences of the United States of America.

[48]  G. Polis,et al.  Feast and famine in food webs: the effects of pulsed productivity , 2004 .

[49]  Robert D. Holt,et al.  Food Webs in Space: An Island Biogeographic Perspective , 1996 .

[50]  J. Lancaster,et al.  Assembly rules within a contingent ecology , 1999 .

[51]  Richard Law,et al.  Alternative Permanent States of Ecological Communities , 1993 .

[52]  R. Holt Models for Peripheral Populations: The Role of Immigration , 1983 .

[53]  J. Lawton,et al.  On feeding on more than one trophic level , 1978, Nature.

[54]  Robert W. Sterner,et al.  THE ENIGMA OF FOOD CHAIN LENGTH: ABSENCE OF THEORETICAL EVIDENCE FOR DYNAMIC CONSTRAINTS , 1997 .

[55]  Robert D. Holt,et al.  7 – From Metapopulation Dynamics to Community Structure: Some Consequences of Spatial Heterogeneity , 1997 .