The aggregate backscattering cross-section, σag is the sum of
backscattering cross-sections of all fish in a shoal. It is a basic
acoustical parameter used for shoal description and biomass estimation.
Simulations were undertaken for evaluating the impact of horizontal
dimension, density, depth and beam width on measurements of σag for
shoals with constant abundance. The important factor determining measurement
bias is the ratio of shoal size expressed as along cross-section length
relative to along ship beam width at mean shoal depth. The results show that
10 log10(σag) is underestimated by about 8 dB for a 5 m long shoal
located at 200 m depth if detected by a 7° beam. A formula for
correcting σag estimates for shoal sizes bigger than 1.3 times the beam
width is proposed. The negative measurement bias can also be reduced by
using transducers with narrower beam widths.