Skip to main content
Log in

Sampling variance and the design of quantitative surveys of the marine benthos

  • Published:
Marine Biology Aims and scope Submit manuscript

Abstract

A prerequisite to precise estimates of the abundance of organisms is prior knowledge of the sampling variability. A number of empirical algorithms to predict the sampling variance (s 2) of freshwater benthic and epiphytic organisms have appeared in the literature. Based on an analysis of published data, I show that the sample variance of marine benthos increases with the sample mean (m) and can be predicted with a high degree of precision from the equation: s 2=1.641 m 1.219 (r 2=0.86, n=3015). The variability among site-specific s 2:m relationships is related to the number of replicate samples in the survey and the level of replication. This confounds the interpretation of deviations from the general relationship. The exponent of the general s 2:m relationship calculated for the marine benthos (1.219) is much lower than that commonly found in freshwater benthic systems (∼1.5). This may indicate that the marine benthos is generally less aggregated than the freshwater benthos. The general s 2:m equation is used to predict the requisite number of replicate samples as a function of precision and density.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

Literature cited

  • Barrie, J. D., B. A. Bennett, S. M. Browne and A. J. Moir: Offshore Labrador biological studies. 1979: benthos. St. Johns, Newfoundland: Atlantic Biological Services Ltd. 1980

    Google Scholar 

  • Box, G. E. P.: Use and abuse of regression analysis. Technometrics 8, 625–629 (1966)

    Google Scholar 

  • Buzas, M. A.: Spatial homogeneity: statistical analyses of unispecies and multispecies populations of foraminifera. Ecology 51, 874–879 (1979)

    Google Scholar 

  • Colquhoun, D.: Lectures in biostatistics, 125 pp. Oxford: Oxford University Press 1971

    Google Scholar 

  • Coull, B. C. and S. S. Bell: Perspectives of marine meiofaunal ecology, pp 189–216. In: Ecological processes in coastal and marine systems. Ed. by R. J. Livingston. New York: Plenum Press 1979

    Google Scholar 

  • Dinet, A.: Distribution quantitative du méiobenthos profond dans la région de la dorsale de Walvis. Mar. Biol. 20, 20–26 (1973)

    Google Scholar 

  • Downing, J. A.: Aggregation, transformation and the design of benthos sampling programs. J. Fish. Res. Bd Can. 36, 1454–1463 (1979)

    Google Scholar 

  • Downing, J. A.: Precision vs generality: a reply. Can. J. Fish. aquat. Sci. 37, 1329–1330 (1980)

    Google Scholar 

  • Downing, J. A.: How well does the fourth-root transformation work? Can. J. Fish. aquat. Sci. 38, 127–129 (1981)

    Google Scholar 

  • Downing, J. A.: Spatial heterogeneity: evolved behaviour or mathematical artefact? Nature, Lond. 323, 255–257 (1986)

    Google Scholar 

  • Downing, J. A. and M. A. Anderson: Estimating the standing biomass of aquatic macrophytes. Can. J. Fish. aquat. Sci. 42, 1860–1869 (1985)

    Google Scholar 

  • Downing, J. A. and H. Cyr: Quantitative estimation of epiphytic invertebrate populations. Can. J. Fish. aquat. Sci. 42, 1570–1579 (1985)

    Google Scholar 

  • Elliott, J. M.: Some methods for the statistical analysis of samples of benthic invertebrates, 160 pp. Scientific publ. no. 25, 2nd ed. The Ferry House: Freshwater Biological Association 1977

    Google Scholar 

  • Fager, E. W.: A sand-bottom epifaunal community of invertebrates in shallow water. Limnol. Oceanogr. 13, 448–464 (1968)

    Google Scholar 

  • Fleeger, J. W.: Community structure of an estuarine meiobenthic assemblage. Estuar. cstl mar. Sci. 10, 107–118 (1980)

    Google Scholar 

  • Gage, J. and A. D. Geekie: Community structure of the benthos in Scottish sealochs, II Spatial patterns. Mar. Biol. 19, 41–53 (1973)

    Google Scholar 

  • Gray, J. S. and R. M. Rieger: A quantitative study of the meiofauna of an exposed sandy beach, at Robin Hood's Bay, Yorkshire. J. mar. biol. Ass. UK 51, 1–19 (1971)

    Google Scholar 

  • Green, R. H.: Sampling design and statistical methods for environmental biologists, 257 pp. New York: John Wiley and Sons 1979

    Google Scholar 

  • Hogue, E. W.: Spatial and temporal dynamics of a subtidal estuarine gastrotrich assemblage. Mar. Biol. 49, 211–222 (1978)

    Google Scholar 

  • Jones, M. L.: A quantitative evaluation of the benthic fauna off Point Richmond, California. Univ. Calif. Publs Zool. 67, 219–320 (1962)

    Google Scholar 

  • Kosler, A.: Distributional patterns of the eulitoral fauna near the isle of Hiddensee (Baltic sea, Rugia). Mar. Biol. 1, 266–268 (1968)

    Google Scholar 

  • McIntyre, A. D.: Meiobenthos of sublittoral muds. J. mar. biol. Ass. UK 44, 665–674 (1964)

    Google Scholar 

  • McIntyre, A. D., J. M. Elliott and D. V. Ellis: Design of sampling programmes. In: Methods for the study of marine benthos, pp 1–26. Ed. by N. A. Holme and A. D. McIntyre. IBP Handbook 16 (2nd ed.) Oxford: Blackwell 1984

    Google Scholar 

  • Menzies, R. J., R. Y. George and G. T. Rowe: Abyssal environment and the ecology of the world oceans. New York: John Wiley and Sons 1973

    Google Scholar 

  • Montagna, P. A., B. C. Coull, T. L. Herring and B. W. Dudley: The relationship between abundances of meiofauna and their suspected microbial food (diatoms and bacteria). Estuar. cstl Shelf Sci. 17, 381–394 (1983)

    Google Scholar 

  • Morin, A.: Variability of density estimates and the optimization of sampling programs for stream benthos. Can. J. Fish. aquat. Sci. 42, 1530–1534 (1985)

    Google Scholar 

  • Nie, N. H., C. H. Hull, J. G. Jenkins, K. Steinbrenner and D. H. Bent: SPSS, statistical package for the social sciences, 675 pp. 2nd ed. New York: McGraw-Hill 1975

    Google Scholar 

  • Olsson, I. and B. Eriksson: Horizontal distribution of meiofauna within a small area, with special reference to Foraminifera. Zoon 2, 67–84 (1974)

    Google Scholar 

  • Parsons, T. R., M. Takahashi and B. Hargrave: Biological oceanographic processes, 332 pp. 3rd ed. Oxford: Pergamon Press 1984

    Google Scholar 

  • Resch, V. H. and D. G. Price: Sequential sampling: a costeffective approach for monitoring benthic microinvertebrates in environmental impact assessments. Envir. Manag. 8, 75–80 (1984)

    Google Scholar 

  • Rosenberg, R.: Spatial distribution of an estuarine benthic faunal community. J. exp. mar. Biol. Ecol. 15, 69–80 (1974)

    Google Scholar 

  • Rosenberg, R.: Benthic macrofaunal dynamics, production, and dispersion in an oxygen-deficient estuary of west Sweden. J. exp. mar. Biol. Ecol. 26, 107–133 (1977)

    Google Scholar 

  • Sheridan, P. F. and R. J. Livingston: Abundance and seasonality of infauna and epifauna inhabiting a Halodule wrightii meadow in Apalachicola Bay, Florida. Estuaries 4, 407–419 (1983)

    Google Scholar 

  • Shirayama, Y.: The abundance of deep sea meiobenthos in the western Pacific in relation to environmental factors. Oceanol. Acta 7, 113–121 (1984)

    Google Scholar 

  • Sokal, R. R. and F. J. Rohlf: Biometry, 859 pp. New York: Freeman 1980

    Google Scholar 

  • Taylor, L. R.: Aggregation, variance and the mean. Nature Lond. 189, 732–735 (1961)

    Google Scholar 

  • Taylor, W. D.: Comment on ‘Aggregation, transformations, and the design of benthos sampling program. Can. J. Fish. aquat. Sci. 38, 1328–1329 (1980)

    Google Scholar 

  • Ursin, E.: A quantitative investigation of the echinoderm fauna of the Central North Sea. Medd. Dan. Fisk. Havunders. 2, 1–204 (1960)

    Google Scholar 

  • Wang, W. Y. B. and M. H. Winnell: Comment on the fourth-root transformation. Can. J. Fish. aquat. Sci. 38, 126–127 (1981)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Communicated by R. W. Doyle, Halifax

Rights and permissions

Reprints and permissions

About this article

Cite this article

Vézina, A.F. Sampling variance and the design of quantitative surveys of the marine benthos. Mar. Biol. 97, 151–155 (1988). https://doi.org/10.1007/BF00391255

Download citation

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00391255

Keywords

Navigation