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A stage-structured, stochastic population model for the giant kelpMacrocystis pyrifera

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Abstract

We have developed a population model for the giant kelpMacrocystis pyrifera (L.) C. Agardh in southern California, USA. The model includes five life-history stages and takes into account environmental and demographic stochasticity, as well as density-dependent interactions. The density of each stage is predicted on a monthly basis for up to 20 yr, and extinction probability is determined for adult sporophytes. Survival probabilities and rates of reproduction and growth are based on stage-specific responses to environmental conditions (irradiance and temperature), including the occurrence of El Niño events. The model is validated by comparing simulation results to empirical data from natural kelp populations. Results of the model provide insight into patterns observed in natural populations and have applications in resource management.

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Literature cited

  • Anderson, B. N. (1974). A mathematical model for the growth of giant kelp. Simulation (SCS, La Jolla) 22: 97–106

    Google Scholar 

  • Anderson, E. K., North, W. J. (1966). In situ studies of spore production and dispersal in the giant kelp,Macrocystis. Proc. 5th int. Seaweed Symp. (Halifax) 5: 73–86 [Young, E. G., McLachlan, J. L. (eds.) Pergamon Press, Oxford]

    Google Scholar 

  • Anderson, E. K., North, W. J. (1967). Zoospore release rates in giant kelp,Macrocystis. Bull. Sth. Calif. Acad. Sci. 66: 223–232

    Google Scholar 

  • Ang, P. O. (1987). Use of projection matrix models in the assessment of harvesting strategies forSargassum. Hydrobiologia 151/152: 335–339

    Google Scholar 

  • Beck, M. B. (1983). A procedure for modeling. In: Orbob, G. T. (ed.) Mathematical modelling of water quality: streams, lakes and reservoirs. Wiley, Chichester, p. 11–41

    Google Scholar 

  • Brillinger, D. R. (1986). The natural variability of vital rates and associated statistics. Biometrics 42: 693–734

    Google Scholar 

  • Burgman, M. A., Akcakaya, H. R., Loew, S. S. (1988). The use of extinction models for species conservation. Biol. Conserv. 42: 9–25

    Google Scholar 

  • Dayton, P. K., Currie, V., Gerrodette, T., Keller, B. D., Rosenthal, R., Ven Tresca, D. (1984). Patch dynamics and stability of some California kelp communities. Ecol. Monogr. 54: 253–289

    Google Scholar 

  • Dean, T. A. (1985). The temporal and spatial distribution of underwater quantum irradiation in a southern California kelp forest. Estuar. cstl Shelf Sci. 21: 835–844

    Google Scholar 

  • Dean, T. A., Jacobsen, F. R. (1984). Growth of juvenileMacrocystis pyrifera (Laminariales) in relation to environmental factors. Mar. Biol. 83: 301–311

    Google Scholar 

  • Dean, T. A., Jacobsen, F. R. (1986). Nutrient-limited growth of juvenile kelp,Macrocystis pyrifera, during the 1982–1984 “El Niño” in southern California. Mar. Biol. 90: 597–601

    Google Scholar 

  • Dean, T. A., Schroeter, S. C., Dixon, J. D. (1984). Effects of grazing by two species of sea urchins (Strongylocentrotus franciscanus andLytechinus anamesus) on recruitment and survival of two species of kelp (Macrocystis pyrifera andPterygophora californica). Mar. Biol. 78: 301–313

    Google Scholar 

  • Dean, T. A., Thies, K., Lagos, S. L. (1989). Survival of juvenile giant kelp: the effects of demographic factors, competitors, and grazers. Ecology 70: 483–495

    Google Scholar 

  • De Wreede, R. E. (1986). Demographic characteristics ofPterygophora californica (Laminariales, Phaeophyta). Phycologia 25: 11–17

    Google Scholar 

  • Deysher, L. E., Dean, T. A. (1986). In situ recruitment of sporophytes of the giant kelp,Macrocystis pyrifera: effects of physical factors. J. exp. mar. Biol. Ecol. 103: 41–63

    Google Scholar 

  • Ebeling, A. W., Laur, D. R., Rowley, R. J. (1985). Severe storm disturbances and reversal of community structure in a southern California kelp forest. Mar. Biol. 84: 287–294

    Google Scholar 

  • Ferson, S., Ginzburg, L., Silvers, A. (1989). Extreme event risk analysis for age-structured populations. Ecol. Modelling 47: 175–187

    Google Scholar 

  • Gerard, V. A. (1976). Some aspects of material dynamics and energy flow in a kelp forest in Monterey Bay, California. Ph.D. thesis, University of California, Santa Cruz

    Google Scholar 

  • Gerard, V. A. (1982a). In situ rates of nitrate uptake by giant kelp,Macrocystis pyrifera (L.) C. Agardh: tissue differences, environmental effects, and predictions of nitrogen-limited growth. J. exp. mar. Biol. Ecol. 62: 214–224

    Google Scholar 

  • Gerard, V. A. (1982b). Growth and utilization of internal nitrogen reserves by the giant kelpMacrocystis pyrifera in a low-nitrogen environment. Mar. Biol. 66: 27–35

    Google Scholar 

  • Gerard, V. A. (1984a). The light environment in a giant kelp forest: influence ofMacrocystis pyrifera on spatial and temporal variability. Mar. Biol. 84: 189–195

    Google Scholar 

  • Gerard, V. A. (1984b). Physiological effects of El Niño on giant kelp in southern California. Mar. Biol. Lett. 5: 317–322

    Google Scholar 

  • Gerard, V. A. (1987). Optimizing biomass production on marine farms. In: Benson, P., Bird, K. (eds.) Seaweed cultivation for renewable resources. Elsevier Science Publishers, Amsterdam, p. 95–106

    Google Scholar 

  • Ginzburg, L. R., Johnson, K., Pugliese, A., Gladden, J. (1984). Ecological risk assessment methodology based on stochastic age-structured models of population growth. Special tech. Publs Am. Soc. Test. Mater. 845: 31–45

    Google Scholar 

  • Ginzburg, L. R., Slobodkin, L. B., Johnson, K., Bindman, A. G. (1982). Quasiextinction probabilities as a measure of impact on population growth. Risk Analysis 2: 171–181

    Google Scholar 

  • Jackson, G. A. (1977). Nutrients and production of giant kelp,Macrocystis pyrifera, off southern California. Limnol. Oceanogr. 22: 979–995

    Google Scholar 

  • Jackson, G. A. (1987). Modelling the growth and harvest yield of the giant kelpMacrocystis pyrifera. Mar. Biol. 95: 611–624

    Google Scholar 

  • Jackson, G. A., James, D. E., North, W. J. (1985). Morphological relationships among fronds of giant kelpMacrocystis pyrifera off La Jolla, California. Mar. Ecol. Prog. Ser. 26: 261–270

    Google Scholar 

  • Lefkovitch, L. P. (1965). The study of population growth in organisms grouped by stages. Biometrics 21: 327–329

    Google Scholar 

  • Neushul, M. (1978). The domestication of the giant kelp,Macrocystis, as a marine plant biomass producer. In: Krauss, R. (ed.) The marine plant biomass of the Pacific Northwest coast. Oregon State University Press, Corvallis, p. 163–181

    Google Scholar 

  • Nisbet, R. M., Bence, J. R. (1989). Alternative dynamic regimes for canopy-forming kelp: a variant on density-vague population regulation. Am. Nat. 134: 377–408

    Google Scholar 

  • North, W. J. (1968). Effects of canopy cutting on kelp growth: comparison of experimentation with theory. Calif. Fish Game Bull. 139: 223–254

    Google Scholar 

  • North, W. J. (1971). Introduction and background. Beih. Nova Hedwigia 32: 1–97

    Google Scholar 

  • North, W. J., Zimmerman, R. S. (1984). Influences of macronutrients and water temperatures on summertime survival ofMacrocystis canopies. Hydrobiologia 116/117: 419–424

    Google Scholar 

  • Pearse, J. S., Hines, A. H. (1979). Expansion of a central California kelp forest following the mass mortality of sea urchins. Mar. Biol. 51: 83–91

    Google Scholar 

  • Reed, D. C., Foster, M. S. (1984). The effects of canopy shading on algal recruitment and growth in a giant kelp forest. Ecology 65: 937–948

    Google Scholar 

  • Reed, D. C., Laur, D. R., Ebeling, A. W. (1988). Variation in algal dispersal and recruitment: the importance of episodic events. Ecol. Monogr. 58: 321–335

    Google Scholar 

  • Rosenthal, R. J., Clarke, W. D., Dayton, P. K. (1974). Ecology and natural history of a stand of giant kelp,Macrocystis pyrifera, off Del Mar, California. Fish. Bull. US. 72: 670–684

    Google Scholar 

  • Roughgarden, J. (1975). A simple model for population dynamics in stochastic environments. Am. Nat. 109: 713–736

    Google Scholar 

  • Shaffer, M. L. (1981). Minimum population sizes for species conservation. BioSci. 31: 131–134

    Google Scholar 

  • Shaffer, M. L., Samson, F. B. (1985). Population size and extinction: a note on determining critical population sizes. Am. Nat. 125: 144–152

    Google Scholar 

  • Simberloff, D., Abele, L. G. (1982). Refuge design and island biogeography theory: effects of fragmentation. Am. Nat. 120: 41–50

    Google Scholar 

  • Sokal, R. R., Rohlf, F. J. (1981). Biometry. The principles and practice of statistics in biological research. 2nd ed. W. H. Freeman & Co., New York

    Google Scholar 

  • Tegner, M. J., Dayton, P. K. (1987). El Niño effects on southern California kelp forest communities. Adv. ecol. Res. 17: 243–279

    Google Scholar 

  • Usher, M. B. (1972). Developments in the Leslie matrix model. In: Jeffers, J. N. R. (ed.) Mathematical models in ecology. Blackwell, Oxford p. 29–60

    Google Scholar 

  • Wilson, C. K., Mearns, A. J., Grant, J. J. (1980). Changes in kelp forests at Palos Verdes. In: Bascom, W. (ed.) Coastal Water Research Project, biennial report for the years 1979–1980. Southern California Coastal Water Research Project, Long Beach, p. 77–92

    Google Scholar 

  • Zimmerman, R. S., Kremer, J. N. (1984). Episodic nutrient supply to a kelp forest ecosystem in southern California. J. mar. Res. 42: 591–604

    Google Scholar 

  • Zimmerman, R. S., Robertson, D. L. (1985). Effects of El Niño on local hydrography and growth of the giant kelp,Macrocystis pyrifera, at Santa Catalina Island, California. Limnol. Oceanogr. 30: 1298–1302

    Google Scholar 

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Communicated by J. Grassle, Woods Hole

To obtain a copy of the model, please contact Applied Biomathematics, 100 North Country Road, Setauket, New York 11733, USA

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Burgman, M.A., Gerard, V.A. A stage-structured, stochastic population model for the giant kelpMacrocystis pyrifera . Mar. Biol. 105, 15–23 (1990). https://doi.org/10.1007/BF01344266

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  • DOI: https://doi.org/10.1007/BF01344266

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