Table 3.

Summary of model fitting results and associated trait(s) under different scenarios.

Label	Scenario and its trait(s)	BIC	△BICa	Remarks
B	baseline (no invasion)	168.7009	28.4376	see S.1.1
I1	invasion (ρ changed since 2011)	140.2633	0.0	see S.1.2
I2	invasion (λvp changed since 2011)	141.2743	1.0110	see S.1.3
I3	invasion (ρ and λvp changed since 2011)	144.8174	4.5541	see Fig. 6 and Table 2

^a$△\text{BIC}=\text{BIC}-{\text{BIC}}_{min},$ where BIC_min is the minimum of BICs of all scenarios. Here, ${\text{BIC}}_{min}=140.2633$ (see S.1.2).