The logarithmic series and the lognormal distribution applied to benthic infauna from Puget Sound, Washington, U.S.A.
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1. Benthic infauna collected at eight stations in Puget Sound during 1963-1964 was tested for agreement with the logarithmic series and the lognormal distribution. 2. The data agreed only moderately well with the logarithmic series; seven of sixteen cases showed statistically significant differences between observed frequencies and frequencies expected from the logarithmic series. Furthermore, there was an inverse relationship between goodness of fit to the logarithmic series and the level of numerical dominance of the faunal assemblages. This relationship, and the fact that the underlying assumptions for the logarithmic series are not applicable in benthic communities, makes the series a doubtful model for the relationship between species and specimens in a benthic community. 3. The lognormal distribution fitted the data reasonably well, but the curves were always strongly truncated. Increasing the sample size reduced the percentage of species in the first class somewhat, but only when the data from all the seasons and all the stations were combined was a significant part of the distribution "unveiled". The lognormal distribution therefore represents the geographical region reasonably well, but for each station the curves are too truncated to represent better models than the logarithmic series.
SeriesFiskeridirektoratets skrifter, Serie Havundersøkelser
vol 15 no 3