Table 3. Rules for high complexity in the invasion network.

Rule	Rule Frequency	Inequalities	Inequality Frequency	Drees Interpretation
1	312	PA<PWT = PB = PAB	146	suppression
		PA = PAB<PWT<PB	79	epistatic
		PAB<PA<PWT = PB	38	conditional
		PAB<PWT = PA<PB	17	conditional
		PAB<PA<PWT<PB	14	single-nonmonotonic
		PWT<PA = PB = PAB	8	asynthetic
		PWT<PAB<PA = PB	4	double-nonmonotonic
		PWT = PAB<PA<PB	4	double-nonmonotonic
		PWT<PA<PB = PAB	2	epistatic
2	325	PA = PAB<PB<PWT	97	epistatic
		PA = PAB = PWT<PB	56	suppression
		PA<PAB<PB<PWT	50	single-nonmonotonic
		PA<PWT<PB = PAB	47	epistatic
		PA<PWT = PB<PAB	41	conditional
		PWT = PA = PB<PAB	29	synthetic
		PAB<PWT<PA<PB	4	double-nonmonotonic
		PWT<PA = PB<PAB	1	additive
3	398	PA = PAB<PWT = PB	143	non-interactive
		PA = PB = PAB<PWT	103	asynthetic
		PA<PB = PAB<PWT	38	epistatic
		PAB<PWT = PA = PB	33	synthetic
		PWT = PA<PB = PAB	32	non-interactive
		PA<PB<PWT = PAB	14	double-nonmonotonic
		PA = PB<PWT = PAB	13	double-nonmonotonic
		PWT = PA<PB<PAB	11	conditional
		PWT<PA = PAB<PB	8	epistatic
		PWT<PAB<PA<PB	2	double-nonmonotonic
		PA = PB<PAB<PWT	1	double-nonmonotonic
4	356	PA<PWT<PAB<PB	176	additive
		PA<PWT = PAB<PB	105	additive
		PWT = PA<PAB<PB	67	conditional
		PA = PB<PWT<PAB	8	double-nonmonotonic
5	418	PWT = PA = PB = PAB	268	non-interactive
		PA<PAB<PWT = PB	72	conditional
		PA<PAB<PWT<PB	40	additive
		PAB<PA = PB<PWT	19	additive
		PA<PWT<PB<PAB	11	single-nonmonotonic
		PAB<PA<PB<PWT	5	additive
		PWT<PA<PB<PAB	1	additive
		PA<PB<PWT<PAB	1	double-nonmonotonic
		PWT = PAB<PA = PB	1	double-nonmonotonic

Frequencies refer to the number of occurrences of the rule in the full network of 1809 interactions, and classical interpretations follow Drees et al. [5].