Estimation of Fish Abundance Indices Based on Scientific Research Trawl Surveys
Article first published online: 11 MAR 2004
Volume 60, Issue 1, pages 116–123, March 2004
How to Cite
Chen, J., Thompson, M. E. and Wu, C. (2004), Estimation of Fish Abundance Indices Based on Scientific Research Trawl Surveys. Biometrics, 60: 116–123. doi: 10.1111/j.0006-341X.2004.00162.x
- Issue published online: 11 MAR 2004
- Article first published online: 11 MAR 2004
- Received January 2003. Revised September 2003. Accepted September 2003.
- Auxiliary information;
- Empirical likelihood method;
- Loglinear model;
- Model-assisted approach;
- Nonparametric smoothing;
- Survey design;
- Variance estimation
Summary. The fish abundance index over an ocean region is defined here to be the integral of expected catch per unit effort (CPUE), approximated by the sum of expected CPUE over grid squares. When trawl surveys are done within grid squares selected according to a probability sampling design, several other sources of variation such as the fish population dynamics and the catching process are also involved. In such situations model-assisted methods for estimating abundance, assessed under both design and model perspectives, have some advantages over purely design-based methods such as the Horvitz–Thompson (HT) estimator or purely model-based prediction approaches. This article develops model-assisted empirical likelihood (EL) methods via loglinear regression and nonparametric smoothing. The methods are applied to grid surveys of the Grand Bank region carried out annually by Fishery Products International from 1996 through 2002. The HT and EL methods produce similar point estimates of abundance indices. Simulation results, however, indicate that the EL estimator under local linear smoothing is associated with smaller standard errors.