1. Quantile regression models for fish recruitment–environment relationships: four case studies
- Author
-
Laure Buffaz and Benjamin Planque
- Subjects
0106 biological sciences ,Limiting factor ,Autocorrelated time series ,010504 meteorology & atmospheric sciences ,Northeast Arctic cod ,Aquatic Science ,Fish stock ,01 natural sciences ,Herring ,Anchovy ,Pacific sardine ,Environment recruitment ,Statistics ,Atlanto scandian herring ,Quantile regression models ,14. Life underwater ,Population dynamics of fisheries ,Ecology, Evolution, Behavior and Systematics ,0105 earth and related environmental sciences ,Ecology ,biology ,010604 marine biology & hydrobiology ,biology.organism_classification ,Regression ,Quantile regression ,Fishery ,Bay of Biscay anchovy ,Quantile - Abstract
Understanding and modelling the environmental control of fish recruitment has been a central question in fish population ecology for the last century. Most environment-recruitment models have primarily been developed to model mean recruitment using conventional regression techniques which assume that all environmental parameters are included and that the residual unexplained variability is unstructured. However, the complexity of environmental controls and the empirical evidence that many relationships have failed when retested suggest that these assumptions are generally not met. Most environmental controls may be considered as limiting factors to recruit- ment and act in interaction with other factors (often not measured or not known). We used quantile regression modelling, which is specifically designed to model limiting relationships, to reanalyse environment-recruitment relationships that have been published for 4 fish stocks: (1) Northeast Arctic cod (Barents Sea), (2) Atlanto-Scandian herring, (3) Bay of Biscay anchovy and (4) Pacific sar- dine. The method was adapted to the specific case of autocorrelated time series, a common feature of most environmental signals. The results from quantile regression were not straightforward exten- sions of conventional regressions. For Northeast Arctic cod and Pacific sardine, the original relation- ships with temperature were not statistically significant in the quantile model. For Atlanto-Scandian herring the relationship was confirmed and temperature clearly appeared as a limiting factor to recruitment. The published relationship for the Bay of Biscay anchovy with upwelling was not con- firmed, but the previously undetected relationship with river runoff was established. In this specific case, it was only by using a quantile model that the relationship could be detected as statistically sig- nificant. These results confirm the ability of quantile regression models to provide robust interpreta- tion of environment-recruitment relationships and to produce environmentally based advance warning when recruitment is expected to be low.
- Published
- 2008