Gp. Scott et al., INDEXES OF LARVAL BLUEFIN TUNA, THUNNUS-THYNNUS, ABUNDANCE IN THE GULF-OF-MEXICO - MODELING VARIABILITY IN GROWTH, MORTALITY, AND GEAR SELECTIVITY, Bulletin of marine science, 53(2), 1993, pp. 912-929
Most indices of stock size for Atlantic bluefin tuna are fishery depen
dent, and thus do not benefit from statistical design. Alternatively,
we derived a fishery independent index of western Atlantic stock size
from ichthyoplankton surveys conducted by the National Marine Fisherie
s Service. The larval abundance indices developed from these surveys h
ave been used to corroborate trends in fishery dependent estimates of
stock size, as well as to tune the virtual population analysis. Estima
tes of average annual larval abundance at first daily increment format
ion per 100 m(2) sampled by oblique bongo tows were used to index tota
l annual larval abundance. A model describing the observed mean trend
in larva size at otolith daily increment count was developed to estima
te a probability of age at length matrix for ageing the captured larva
e. Daily loss rates (Z) were estimated through regression analysis of
the larval catch curves. Effects of mesh size changes (333 mu m or 505
mu m) during the time series of sampling were incorporated into the e
stimates. Uncertainty in the index values for the various components o
f the estimator is incorporated through the delta method. Zero catch i
nformation from the sampling is incorporated through application of Pe
nnington's transform. Finally, we tested several different methods of
calculating the index to evaluate the sensitivity of the results to di
fferent assumptions.