Application of least median of squared orthogonal distance (LMD) and LMD-based reweighted least squares (RLS) methods on the stock-recruitment relationship |
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| Authors: | Wang Yan-jun Liu Qun |
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| Institution: | (1) Department of Fisheries, Ocean University of Qingdao, 266003, China |
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| Abstract: | Analysis of stock recruitment (SR) data is most often done by fitting various SR relationship curves to the data. Fish population dynamics data often have stochastic variations and measurement errors, which usually result in a biased regression analysis. This paper presents a robust regression method, least median of squared orthogonal distance (LMD), which is insensitive to abnormal values in the dependent and independent variables in a regression analysis. Outliers that have significantly different variance from the rest of the data can be identified in a residual analysis. Then, the least squares (LS) method is applied to the SR data with defined outliers being down weighted. The application of LMD and LMD based Reweighted Least Squares (RLS) method to simulated and real fisheries SR data is explored. |
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| Keywords: | stock recruitment relationship least squares (LS) least median of squared orthogonal distance (LMD) LMD based reweighted least squares (RLS) |
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