Table 1. Overview of the models considered and tested, where single, multispecies and multiyear models are covered. In addition, the hierarchical structure of the model testing is indicated.

Type of Model	Model		Parameters
Single Species - including size and spatial correlation	SS1	Unconstrained	, , ,
	SS2	Structured parameterised on natural scale	, , , , ,
	SS3	Structured parameterised on log scale	, , , , ,
	SS4	Structured parameterised on logistic scale	, , , , , , ,
Multi-Species - including species, spatial and size correlation	MS1	Unconstrained species-size correlation with species specific size correlation	, , , , , , x  =  species A B,
	MS2	Unconstrained species-size correlation with common size correlation	, , , , , , x  =  A B,
	MS3	Separable model	, , , , , , x  =  A B,
	MS4	Independence	, , , , , , x  =  A B,
Multi-Year - including yearly, spatial and size correlation	MY1	Unconstrained year-size correlation with species specific size correlation	, , , , , , x  =  year A B,
	MY2	Unconstrained year-size correlation with common size correlation	, , , , , , x  =  A B,
	MY3	Separable model	, , , , , , x  =  A B,
	MY4	Independence	, , , , , , x  =  A B,