Abstract
The use of size distributions as descriptors of ecosystems goes back at least to Elton (1927), although quantitative applications have appeared only during the past decade. Elton noted that there was a characteristic difference between terrestrial and aquatic ecosystems; on land the organisms in the lower trophic levels tend to be larger than the organisms which feed on them (e.g. trees, giraffes, tigers), while in the sea the reverse is true (phytoplankton, zooplankton, fish). The value of this observation was dramatically emphasized by the advent of automated particle size measurement devices and their use in marine biology, which occurred in the 1960’s (Sheldon and Parsons 1967). A Coulter counter was used on the 1970 circumnavigation of the western hemisphere by the Canadian research vessel Hudson and this provided the first opportunity to compare particle size distributions from widely distributed pelagic marine environments, including both polar regions and the tropical waters of the Atlantic and Pacific oceans (Sheldon et al. 1972). This work greatly extended Elton’s observation by showing that there are also patterns in the size distributions from temperate and polar regions which are characteristically different from those found in tropical waters.
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References
Banse, K., and Mosher S. (1980). Adult body mass and annual production/biomass relationships of field populations. Ecol. Monogr. 50: 355–379.
Brodie, P.F. (1982). A surface area or thermal index for marine mammal energetic studies. Proc. 3rd Theriological Congress, Helsinki. Acta Zool. Fennica 169 (4): 000–000.
Cale, W.G. Jr., and Odell, P.L. (1979). Concerning aggregation in ecosystem modelling. In Theoretical systems ecology (E. Halfon, ed. ). Academic Press.
Cammen, L.M. (1980). Ingestion rate: an empirical model for aquatic deposit feeders and detritovores. Oecologia 44: 303–310.
Elton, C.S. (1927). Animal ecology. Sidgewick and Jackson, London.
Gunther, B., and Morgado E. (1982). Theory of biological similarity revisited. J. Theor. Biol. 96: 543–559.
Harding, G.C.H. (1977). Surface area of the euphausiid Thysanoessa raschii and its relation to body length, weight, and respiration. J. Fish. Res. Bd. Canada 34: 225–231.
Humphreys, W.F. (1979). Production and respiration in animal populations. J. Anim. Ecol. 48: 427–453.
Kerr, S.R. (1974). Theory of size distribution in ecological communities. J. Fish. Res. Bd. Canada 31: 1859–1862.
Levin, S.A. (1976). Population dynamic models in heterogeneous environments. Ann. Rev. Ecol. Syst. 7: 287–310.
Marcotte, B.M. (1978). The ecology of meiobenthic harpacticoids (Crustacea: Copepoda) in West Lawrencetown, Nova Scotia. Ph. D. Thesis, Dalhousie University. 212 p.
McKendrick, A.G. (1926). Applications of mathematics to medical problems. Proc. Edin. Math. Soc. 44: 98–130.
O’Neill, R.V., and Rust, B. (1979). Aggregation error in ecological models. Ecol. Modelling 7: 91–105.
Platt, T., and Denman, K. (1977). Organization in the pelagic ecosystem. Helgol. Wiss. Meeresunters. 30: 575–581.
Platt, T. and Denman, K. (1978). The structure of pelagic marine ecosystems. Rapp. P. -V. Reun. Cons. Int. Explor. Mer 173: 60–65.
Platt, T., and Silvert, W. (1981). Ecology, physiology, allometry and dimensionality. J. Theor. Biol 93: 855–860.
Rubinow, S.I. (1973). Mathematical problems in the biological sciences. SIAM, Philadelphia. 90 p.
Schwinghamer, P. (1981). Characteristic size distributions of integral benthic communities. Can. J. Fish. Aquat. Sci. 38: 1255–1263.
Sheldon, R.W., and Parsons, T.R. (1967). A continuous size spectrum for particulate matter in the sea. J. Fish. Res. Bd. Canada 24: 909–915.
Sheldon, R.W., Prakash, A., and Sutcliffe, W.H. Jr. (1972). The size distribution of particles in the ocean. Limnol. Oceanogr. 17: 327–340.
Sheldon, R.W., Sutcliffe, W.H. Jr. and Paranjape, M.A. (1977). The structure of the pelagic food chain and the relationship between plankton and fish production. J. Fish. Res. Bd. Canada 34: 2344–2353.
Silvert, W. (1983). Is dynamical systems theory the best way to understand ecosystem stability? Proc. Int. Conf. Pop. Biol. (In press).
Silvert, W. and Platt, T. (1978). Energy flux in the pelagic ecosystem: a time-dependent equation. Limnol. Oceanogr. 23: 813–816.
Silvert, W., and Platt, T. (1980). Dynamic energy-flow model of the particle size distribution in pelagic ecosystems. In Evolution and ecology of zooplankton communities ( W.C. Kerfoot, ed.). Univ. Press of New England.
Sinko, J.W., and Streifer, W. (1967). A new model for age-size structure of a population. Ecology 48: 910–918.
Smith, F. (1976). Ecosystems and evolution. Bull. Ecol. Soc. America. Spring 1976: 2–6.
Sprules, W.G., and Holtby, L.B. (1979). Body size and feeding ecology as alternatives to taxonomy for the study of limnetic zooplankton community structure. J. Fish. Res. Bd. Canada 36: 1354–1363.
Streifer, W. (1974). Realistic models in population ecology. Adv. Ecol. Res. 8: 199–266.
Thiel, H. (1975). The size structure of the deep-sea benthos. Int. Rev. Gesamten Hydrobiol. 60: 575–606.
Ursin, E. (1973). On /he prey size preferences of cod and dab. Medd. Dan. Fisk. Havunders. 7: 85–98.
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Silvert, W. (1984). Particle Size Spectra in Ecology. In: Levin, S.A., Hallam, T.G. (eds) Mathematical Ecology. Lecture Notes in Biomathematics, vol 54. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-87422-2_12
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DOI: https://doi.org/10.1007/978-3-642-87422-2_12
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