Results of the time series analyses of concave (type I) and convex (type III) Spatial Distribution Metric (SDM)- Spawning Stock Biomass (SSB) relationships wherein SDM precedes changes in SSB, indicated by negative lag h.

The time series residuals were obtained using OLS: ordinary least squares regression, GLS-AR1: generalized least squares regression with an auto-correlation or auto-regressive process of order 1, GLS-ARMA (p,q): generalized least squares regression with a p order auto-regressive and q order moving average process, Log: indicates that the SSB time series was log-transformed before applying regression analysis.*Indicates the SDM is inverted. A negative ϱSDM,SSB indicates a negative relationship between SDM and SSB.Results of the time series analyses of concave (type I) and convex (type III) Spatial Distribution Metric (SDM)- Spawning Stock Biomass (SSB) relationships wherein SDM precedes changes in SSB, indicated by negative lag h.