Table 3 Results of multiple regression analysis for the effects of current systems and strength of current fluctuations on model coefficients of each trajectory type (linear [α]; stable [ϕ₁, ϕ₂]) and on three measures of community temporal invariability (species richness, species composition, and community abundance).

Response variable	Explanatory variable	Estimate	Std. error	t-value	P
Linear α	Intercept	0.0057	0.0026	2.19	0.0377
Linear α	Current systems	0.0037	0.0019	1.94	0.0639
Transformation: none	Current fluctuation	0.0033	0.0013	2.59	0.0157
Stable φ₁	Intercept	0.2785	0.0288	9.66	< 0.001
Stable φ₁	Current systems	− 0.0024	0.0188	− 0.13	0.9000
Transformation: none	Current fluctuation	0.0553	0.0116	4.78	< 0.001
Stable φ₂	Intercept	− 1.1808	0.1691	− 6.99	< 0.001
Stable φ₂	Current systems	0.3777	0.1100	3.44	< 0.001
Transformation: none	Current fluctuation	0.0281	0.0679	0.41	0.6804
Species richness	Intercept	0.8254	0.0349	23.67	< 0.001
Species richness	Current systems	− 0.0415	0.0241	− 1.72	0.0886
Transformation: log₁₀	Current fluctuation	− 0.0499	0.0148	− 3.37	0.0011
Species composition	Intercept	− 0.1749	0.0110	− 15.85	< 0.001
Species composition	Current systems	0.0223	0.0076	2.92	0.0043
Transformation: log₁₀	Current fluctuation	− 0.0360	0.0047	− 7.69	< 0.001
Community abundance	Intercept	0.8981	0.0808	11.12	< 0.001
Community abundance	Current systems	− 0.2539	0.0559	− 4.54	< 0.001
Transformation: log₁₀	Current fluctuation	0.0693	0.0343	2.02	0.0461

Columns report the estimated coefficients for explanatory variables, their standard errors, t-values and P-values.

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