Temperature-size relationships in marine fishes do not consistently scale across species

This repository reproduces the statistical workflow used to test the temperature–size rule (TSR) on Black Sea fish species and to quantify where TSR works as a general tendency versus where it becomes context-dependent. The script links life-history traits (Linf, Lmax, TL1, Amax, optionally Lmat if available) to environmental predictors (SST, PP, S) using pooled hierarchical GAMs (HGAM) and species-level models. In addition to TSR support/reverse/weak classification, the code evaluates whether the Azov–Black Sea basin differs from other regions after nonlinear environmental adjustment and species structure control. A sensitivity analysis is also run in the overlapping SST range between basin groups to separate basin effects from thermal-range imbalance. All tables/figures are exported into Results/.