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Regression for overdetermined systems: A fisheries example
Author(s) -
Manchester L.,
Field C. A.,
Mcdougall A.
Publication year - 1999
Publication title -
canadian journal of statistics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.804
H-Index - 51
eISSN - 1708-945X
pISSN - 0319-5724
DOI - 10.2307/3315488
Subject(s) - overdetermined system , regression , least squares function approximation , series (stratigraphy) , sea surface temperature , econometrics , regression analysis , fishery , statistics , mathematics , oceanography , climatology , geology , biology , paleontology , estimator
In trying to establish the relationship between a yearly fisheries recruitment series and meteorological or oceanographic variables such as air pressure or sea surface temperature, we are often faced with the situation where the number of regressors exceeds the number of observations. In this paper we use the techniques of penalized least squares and principal‐components regression to determine whether air pressure over the North Atlantic can be used to predict two North Atlantic cod recruitment series. The results suggest that penalized least squares can be very effective in these situations.