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As opposed to the random sampling theory, geostatistics accounts for spatial correlation. Because the structure is specified the sampling may be undertaken on regular grids and the precision of the stock's total abundance can be derived. Two geostatistical methods relevant for total assessments are reviewed, then applied to an acoustic survey performed along regularly spaced parallel transects. For such surveys a very simple and general procedure for calculating the precision is suggested: the geostatistical transitive theory can be used in one-dimension (1-D) on the transect cumulated data. The procedure is explained and compared to the more complicated computation that could be undertaken in the two-dimensional (2-D) longitude-latitude plane.
Pierre Petitgas (Sun,) studied this question.