Table S1.

Lifestyle effects on selection in functional gene complexes

Gene set	Model statistics					Test statistics
ID	-lnL	AICc	AIC weight	Branch set	mean ω	k	LR	P value
ATP	Reference: Erythranthe, Sesamum; Test: Orobanchaceae
	16208.55	32509.3	0.000	Reference	0.089	0.21	25.4	<0.001
				Test	0.230
	Reference: nonparasites; Test: all parasites
	16202.58	32497.35	0.000	Reference	0.098	0.21	37.4	<0.001
				Test	0.238
	Reference: nonparasites + Triphysaria; Test: obligate parasites
	16193.03	32478.24	0.996	Reference	0.097	0.19	56.5	<0.001
				Test	0.252
	Reference: nonparasites + hemiparasites; Test: holoparasites
	16198.56	32489.3	0.004	Reference	0.136	0.2	45.4	<0.001
				Test	0.268
NDH	Reference: Erythranthe, Sesamum; Test: Orobanchaceae
	21040.46	42141.01	0.000	Reference	0.221	0.73	7.1	0.008
				Test	0.295
	Reference: nonparasites; Test: all parasites
	21036.13	42132.35	0.000	Reference	0.229	0.59	15.8	<0.001
				Test	0.323
	Reference: nonparasites + Triphysaria; Test: obligate parasites
	21008.64	42077.36	1.000	Reference	0.202	0.22	70.8	<0.001
				Test	0.590
PET	Reference: Erythranthe, Sesamum; Test: Orobanchaceae
	4500.8	9061.99	0.324	Reference	0.087	2.57	0.3	0.603
				Test	0.087
	Reference: nonparasites; Test: all parasites
	4500.84	9062.07	0.312	Reference	0.083	0.77	0.2	0.662
				Test	0.090
	Reference: nonparasites + Triphysaria; Test: obligate parasites
	4500.68	9061.76	0.364	Reference	0.084	0.64	0.5	0.460
				Test	0.093
PSA	Reference: Erythranthe, Sesamum; Test: Orobanchaceae
	8930.82	17921.83	0.022	Reference	0.046	0.97	0.1	0.776
				Test	0.061
	Reference: nonparasites; Test: all parasites
	8929.26	17918.71	0.106	Reference	0.033	0.82	3.2	0.074
				Test	0.075
	Reference: nonparasites + Triphysaria; Test: obligate parasites
	8927.15	17914.49	0.872	Reference	0.037	0.66	7.4	0.007
				Test	0.087
PSB	Reference: Erythranthe, Sesamum; Test: Orobanchaceae
	12169.43	24399.01	0.117	Reference	0.069	1	1	0
				Test	0.068
	Reference: nonparasites; Test: all parasites
	12168.44	24397.01	0.318	Reference	0.055	0.88	2	0.158
				Test	0.076
	Reference: nonparasites + Triphysaria; Test: obligate parasites
	12167.86	24395.86	0.565	Reference	0.057	0.79	3.2	0.076
				Test	0.085
rbcL	Reference: Erythranthe, Sesamum; Test: Orobanchaceae
	2862.61	5787.82	0.545	Reference	0.231	0.99	0.3	0.565
				Test	0.160
	Reference: nonparasites; Test: all parasites
	2862.35	5789.34	0.255	Reference	0.185	0.90	0.5	0.475
				Test	0.170
	Reference: nonparasites + Triphysaria; Test: obligate parasites
	2862.60	5789.83	0.199	Reference	0.192	0.98	0.1	0.879
				Test	0.162
RPL	Reference: Erythranthe, Sesamum; Test: Orobanchaceae
	13268.58	26649.45	0.017	Reference	0.332	0.92	0.2	0.683
				Test	0.389
	Reference: nonparasites; Test: all parasites
	13264.69	26641.67	0.839	Reference	0.249	0.46	7.9	0.005
				Test	0.403
	Reference: nonparasites + Triphysaria; Test: obligate parasites
	13266.57	26645.45	0.127	Reference	0.255	0.76	4.2	0.041
				Test	0.414
	Reference: nonparasites + hemiparasites; Test: holoparasites
	13268.58	26649.45	0.017	Reference	0.332	0.83	1.7	0.191
				Test	0.389
RPO	Reference: Erythranthe, Sesamum; Test: Orobanchaceae
	22475.51	45011.11	0.000	Reference	0.214	0.87	2.1	0.145
				Test	0.278
	Reference: nonparasites; Test: all parasites
	22469.13	44998.35	0.000	Reference	0.198	0.36	14.9	<0.001
				Test	0.308
	Reference: nonparasites + Triphysaria; Test: obligate parasites
	22456.37	44972.83	1.000	Reference	0.190	0.07	40.4	<0.001
				Test	0.364
RPS	Reference: Erythranthe, Sesamum; Test: Orobanchaceae
	23774.84	47661.86	0.004	Reference	0.147	0.36	12.4	<0.001
				Test	0.407
	Reference: nonparasites; Test: all parasites
	23769.4	47650.98	0.995	Reference	0.159	0.38	23.3	<0.001
				Test	0.418
	Reference: nonparasites + Triphysaria; Test: obligate parasites
	23777.17	47666.53	0.000	Reference	0.350	0.36	14.9	0.001
				Test	0.403
	Reference: nonparasites + hemiparasites; Test: holoparasites
	23777.21	47666.6	0.000	Reference	0.350	3.48	7.7	0.006
				Test	0.403
Others	Reference: Erythranthe, Sesamum; Test: Orobanchaceae
	46813.3	93738.68	0.003	Reference	0.672	1.63	10.6	0.001
				Test	0.996
	Reference: nonparasites; Test: all parasites
	46808.23	93728.53	0.476	Reference	0.598	2.01	20.7	<0.001
				Test	1.020
	Reference: nonparasites + Triphysaria; Test: obligate parasites
	46808.14	93728.35	0.521	Reference	0.545	1.69	22.9	<0.001
				Test	1.050
	Reference: nonparasites + hemiparasites; Test: holoparasites
	46819.26	93750.59	0.000	Reference	1.020	1.03	0.7	0.389
				Test	0.961
HK	Reference: Erythranthe, Sesamum; Test: Orobanchaceae
	71275.32	142662.71	0.000	Reference	0.346	3.29	17.5	<0.001
				Test	0.581
	Reference: nonparasites; Test: all parasites
	71265.43	142642.93	0.000	Reference	0.308	4.95	37.3	<0.001
				Test	0.598
	Reference: nonparasites + Triphysaria; Test: obligate parasites
	71246.28	142604.63	1.000	Reference	0.279	6.71	75.7	<0.001
				Test	0.620
	Reference: nonparasites + hemiparasites; Test: holoparasites
	71281.99	142676.04	0.000	Reference	0.592	1.12	4.2	0.040
				Test	0.559
PS	Reference: Erythranthe, Sesamum; Test: Orobanchaceae
	66017.92	132095.86	0.000	Reference	0.167	0.93	0.7	0.421
				Test	0.179
	Reference: nonparasites; Test: all parasites
	66014.6	132089.23	0.000	Reference	0.162	0.81	7.3	0.007
				Test	0.187
	Reference: nonparasites + Triphysaria; Test: obligate parasites
	66004.32	132068.66	1.000	Reference	0.150	0.72	27.9	<0.001
				Test	0.225
Univ. genes	Reference: Erythranthe, Sesamum; Test: Orobanchaceae
	76618.04	153348.13	0.000	Reference	0.341	3.85	31.4	<0.001
				Test	0.649
	Reference: nonparasites; Test: all parasites
	76616.47	153345	0.000	Reference	0.351	4.13	34.6	<0.001
				Test	0.657
	Reference: nonparasites + Triphysaria; Test: obligate parasites
	76600.5	153313.05	1.000	Reference	0.318	5.63	66.5	<0.001
				Test	0.678
	Reference: nonparasites + hemiparasites; Test: holoparasites
	76723.19	153550.42	0.000	Reference	0.664	1.11	4.3	0.039
	76631.67	153375.38		Test	0.615

AICc, corrected Akaike information criterion; k, selection intensity parameter (according to ref. 13); lnL, log likelihood; LR, likelihood ratio from a likelihood ratio test of the RELAX null model assuming k = 1 for all branches and the RELAX alternative model assuming different k for reference and test branches (see ref. 13 for details); ω, mean ω per reference and test branch set.