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Pattern Analysis - Grid Surveys<br />

Survey design - Statisticians have usually condemned systematic sampling in favour<br />

of random sampling (Krebs, 1989). However, McArdle and Blackwell (1989) stated<br />

that when investigating spatial patterns a systematic sampling design (e.g., grid<br />

sampling) will usually provide the smallest sampling error of the mean (Milne, 1959).<br />

The possibility of a periodic variation in the variable being studied leading to a biased<br />

estimate of the mean is negligible (Milne, 1959; Krebs, 1989). Another advantage of<br />

grid sampling is the ease with which spatial patterns can be detected and displayed<br />

(McArdle and Blackwell, 1989). Consequently, this type of sampling is<br />

recommended in pattern analysis studies (Greig-Smith, 1952; Angel and Angel, 1967;<br />

Pielou, 1969; Hill, 1973; Elliot, 1977; Jumars et al., 1977).<br />

Pattern analysis was carried out by performing 3 separate surveys, each at a different<br />

scale (lag). The sample designs for each of these grid surveys were very similar to<br />

each other (Figure 2.2), except the lags were different in each case. The lags used for<br />

the 3 surveys were lm, 8m and 40m and, from here-on will be referred to as the 1 m,<br />

8m and 40m surveys respectively. These lags were chosen so that spatial patterns<br />

could be investigated at a relatively small scale (1m survey), at an intermediate scale<br />

(8m survey) and at a relatively large scale (40m survey) within the 400x250m study<br />

area. The lm and 8m surveys were composed of plots forming an 8x8 array while<br />

those of the 40m survey formed a 9x7 array so that the design could be positioned<br />

within the study area. The positions of the lm and 8m surveys were determined by<br />

random co-ordinates while the 40m survey covered the majority of the 250mx400m<br />

survey area.<br />

At each plot faunal abundances were assessed in two ways. A single box-core sample<br />

(625cm2) was taken in an identical manner as described for the pilot survey: this<br />

method sampled the majority of the faunal species present. The results from the<br />

transect survey revealed that the lugworm Arenicola marina and the sandmason<br />

Lanice conchilega could not be sampled in this way since the majority of these<br />

individuals live deeper in the sediments than 15cm. Ragnarsson (1996) suggested that<br />

there was almost a 1:1 relationship between A. marina individuals and their casts on<br />

the Ythan Estuary, Aberdeenshire, and by direct observations (following Carey, 1982)<br />

22

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