摘要: One of the fundamental problems in modeling the low frequency contributions to scattering strength of swim bladder fish is to transform a measured or theoretical size-depth distribution h(L/z) for an individual species to the corr... 展开 One of the fundamental problems in modeling the low frequency contributions to scattering strength of swim bladder fish is to transform a measured or theoretical size-depth distribution h(L/z) for an individual species to the corresponding distribution q (Rlz) of equivalent swimbladder radius R. This is usually done using a y-on-x regression line relation for the species, where y=1nR, x=Lnl, and 1=fish standard length. Analysis of archival Ocean Acre swimbladder size allometry data for 38 species indicates that this procedure is physically inadequate. Due to biological variability, a wide range of r-values is associated with a fish of length L. Since respondance scattering from gas filled swimbladders is depth-dependent, important scattering contributions may come from fish with bladder sizes R not lying on the regression line. To avoid systematic prediction errors, the x, y distribution p(x,y) rather than the regression line must be used to calculate q(R/z). This transformation problem and its modeling consequences are examined in light of the fact that p(x,y) for many swimbladder species has been found to be bivariate normal. 收起