Ra. Mcconnaughey et Ll. Conquest, TRAWL SURVEY ESTIMATION USING A COMPARATIVE APPROACH BASED ON LOGNORMAL THEORY, Fishery bulletin, 91(1), 1993, pp. 107-118
The spatial distributions of marine biota are frequently patchy, Sampl
es taken from these populations are characterized by values which are
mostly small, relative to the population mean, and a few that are very
large. It is therefore difficult to estimate stock size using convent
ional methods. We performed Monte Carlo simulations based on trawl dat
a for Dungeness crab Cancer magister and compared the behavior of thre
e estimators of central tendency: sample mean, geometric mean, and a l
ognormal estimate. Although the sample mean is unbiased, results indic
ate that single estimates of the population mean (and thus population
estimates obtained using area-swept) may be overly sensitive to extrem
e values; confidence intervals are large and capture the true value at
a level well below that prescribed. Estimates of the geometric mean e
xhibit more stable behavior about its parameter, with mixed results fo
r the lognormal estimate. We propose a conservative approach based on
comparison of trends found in each of the three estimators. Moreover,
we suggest that abundance of aggregated stocks should be indexed with
an estimator that has more desirable statistical properties, such as t
he geometric mean. This may reduce error associated with conventional
fisheries stock-assessment practices and thus provide for more effecti
ve management of overdispersed stocks.