Abstract
Since its first use by Platt (1972) spectral analysis has come to play a central role in the statistical analysis and understanding of plankton patchiness. For a number of reasons it has replaced earlier statistical models that were based on the distribution of counts/sample (Cassie, 1963). Firstly, the statistical distributions used to analyze the distribution of counts/sample (e. g. Neyman type A and Negative Binomial) assumed that the clusters or patches were small compared to the sample size (Skellam, 1958). When this is not true the estimated value of the distribution parameters and the goodness-of-fit will vary with quadrat size (Pielou, 1957). Secondly, the use of counts/sample data alone discards valuable information about the spatial covariance properties of the data being studied. Thirdly, it is fairly well accepted that the causes of patchiness are likely to be different at different space scales and this effect should be observable as a change in shape of the spectrum at different wavenumbers.
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Fasham, M.J.R. (1978). The Application of Some Stochastic Processes to the Study of Plankton Patchiness. In: Steele, J.H. (eds) Spatial Pattern in Plankton Communities. NATO Conference Series, vol 3. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-2195-6_7
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