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The results show that at the smaller scale, i.e., lm survey, P. elegans distribution was<br />

not correlated with any species nor with any sediment variable. The results from the<br />

8m survey suggest that at this scale, P. elegans was positively correlated with M.<br />

balthica and all the sediment variables, i.e., % organic carbon, % silt/clay, Md 0 and<br />

sorting coefficient, and negatively correlated with A. marina. At the larger scale, i.e.,<br />

40m survey, P. elegans was only positively correlated with M. balthica and all the<br />

sediment variables, except Md (1). The significant correlations of P. elegans<br />

abundances with those of A. marina and the sediment variables must be treated with<br />

caution because of the differences in sampling protocols (see Methods).<br />

Some of the correlations which were significant even after the Bonferroni correction,<br />

which Legendre and Legendre (1997) suggested was overly conservative and often led<br />

to rejecting too few hypotheses, appeared only weakly correlated when their scatter<br />

plots were examined. This was because the numbers of degrees of freedom (i.e., 64)<br />

were so high that even relatively low values of the coefficient, e.g., 0.401 for %<br />

organic carbon content from 40m survey, were significant. Fowler and Cohen (1990)<br />

suggested that this correlation coefficient should be used only when the number of<br />

sampling units is 30 or less. Therefore, caution is needed in the interpretation of these<br />

correlation results and thus it is important to examine the contour maps when<br />

interpreting them.<br />

lm survey - spatial patterns<br />

The contour maps presented in Figures 2.5(i-vii) display the distributions of the most<br />

abundant species from the lm survey which had significantly non-random<br />

distributions, and Figures 2.6(i-v) present the significant correlograms from spatial<br />

autocorrelation analysis. The distance classes 1-6 in Figures 2.6(i-ix) represent those<br />

samples that are 0-1m, 1-1.5m, 1.5-2m, 2-2.5m, 2.5-3m and 3-3.5m apart respectively.<br />

These were chosen instead of larger intervals so that a more accurate estimate of patch<br />

size could be achieved.<br />

Sokal (1979) described the inferences which can be made about the spatial<br />

distributions of biological populations from autocorrelation analysis and provided<br />

some useful examples. Low-order (short-distance) positive autocorrelation, where<br />

36

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