Table S2: Model fit (?AICc) and parameter estimates for combinations of independent variables explaining establishment success in parasitic wasps (fitted on 286 release events of 120 species). Models are ranked by their ?AICc value. “+” denotes if a variable was included in the model. Models with green shading indicate models considered for model averaging of parameters, i.e. those whose ?AICc ? 6 and whose AICc values are less than the AICc value of all the simpler models nested within them. Models with ?AICc > 6 are not shown. Detailed explanations about parameters are given in the main text.													
(Intercept)	mean body mass	disturbance	parasitoid life style	taxonomic specificity	propagule pressure (log)	host number	year	climate matching	df	logLik	AICc	?AICc	weight
-2.7453147	NA	0.4215064	+	NA	0.10354179	-0.02393193	NA	NA	8	-162.8742	342.2683	0	0.055954306
-1.4206879	NA	NA	NA	NA	0.08858759	-0.02489228	NA	NA	6	-165.1543	342.6097	0.3414276	0.047172995
-2.08353	NA	0.3240795	NA	NA	0.09929054	-0.02396338	NA	NA	7	-164.1813	342.7655	0.4971502	0.043639396
-1.7568433	NA	NA	+	NA	0.08975504	-0.02499175	NA	NA	7	-164.4492	343.3012	1.0329043	0.033384217
-0.7404647	NA	NA	NA	NA	NA	-0.02452299	NA	NA	5	-166.6796	343.5734	1.3051249	0.029135954
-2.6171504	-0.0052804	0.4731012	+	NA	0.10438893	-0.02389466	NA	NA	9	-162.5149	343.682	1.4137197	0.027596131
9.929652	NA	0.429079	+	NA	0.09990937	-0.02411706	-0.00648654	NA	9	-162.6163	343.8847	1.6163915	0.024936676
11.1276298	NA	NA	NA	NA	0.08452639	-0.02507633	-0.006409188	NA	7	-164.9087	344.2203	1.9519535	0.021084932
-1.9493954	-0.005030889	0.3708116	NA	NA	0.10021346	-0.02391768	NA	NA	8	-163.86	344.2398	1.9715389	0.020879461
-1.7204263	NA	0.3269509	+	NA	NA	-0.02389311	NA	NA	7	-164.9599	344.3226	2.0543384	0.020032705
-2.7133914	NA	0.4144877	+	NA	0.10460433	-0.02384866	NA	-0.16873131	9	-162.8421	344.3363	2.0680111	0.019896222
-1.0394107	NA	NA	+	NA	NA	-0.02461365	NA	NA	6	-166.0283	344.3577	2.0893495	0.019685073
10.5884833	NA	0.3303564	NA	NA	0.09518743	-0.02411621	-0.006478522	NA	8	-163.9278	344.3755	2.1072315	0.019509854
-2.8152066	NA	0.42185	+	0.019018621	0.10399679	-0.02421912	NA	NA	9	-162.8683	344.3887	2.1203706	0.019382103
-1.172875	NA	0.2426473	NA	NA	NA	-0.02390192	NA	NA	6	-166.0666	344.4342	2.1659024	0.018945836
-1.3823876	NA	NA	NA	NA	0.0910803	-0.02460704	NA	-0.32383915	7	-165.0402	344.4833	2.2149602	0.018486769
-1.2941347	-0.002765054	NA	NA	NA	0.08841745	-0.02492516	NA	NA	7	-165.0523	344.5074	2.2390845	0.018265119
-1.3714099	NA	NA	NA	-0.014445381	0.08831383	-0.02466509	NA	NA	7	-165.151	344.7049	2.4365576	0.016547857
-2.0461023	NA	0.3166982	NA	NA	0.10039488	-0.02383692	NA	-0.18868338	8	-164.1428	344.8054	2.5371218	0.015736369
14.80507	NA	NA	NA	NA	NA	-0.02470304	-0.007958831	NA	6	-166.2551	344.8112	2.5428787	0.015691137
-2.0251539	NA	0.3245468	NA	-0.017329899	0.09895775	-0.02370049	NA	NA	8	-164.1765	344.8728	2.6044867	0.015215156
10.9185258	NA	NA	+	NA	0.08606547	-0.02520524	-0.006478922	NA	8	-164.1971	344.914	2.6457127	0.014904737
13.9288598	-0.006616246	0.4949572	+	NA	0.10000386	-0.02412819	-0.008448746	NA	10	-162.0951	344.9903	2.7219575	0.014347226
-1.726261	NA	NA	+	NA	0.09270837	-0.02471487	NA	-0.35394632	8	-164.3104	345.1406	2.8722605	0.013308529
-1.6399695	-0.002438286	NA	+	NA	0.08950401	-0.02501696	NA	NA	8	-164.3695	345.2589	2.9905867	0.012543995
-1.8011535	NA	NA	+	0.012239589	0.0900124	-0.02518822	NA	NA	8	-164.4468	345.4134	3.1450546	0.011611641
-0.6103796	-0.00284424	NA	NA	NA	NA	-0.02455801	NA	NA	6	-166.5642	345.4295	3.1611939	0.011518316
14.1704895	NA	0.3381726	+	NA	NA	-0.02403789	-0.008149371	NA	8	-164.4987	345.5173	3.2489596	0.011023789
-0.7012218	NA	NA	NA	NA	NA	-0.02433559	NA	-0.22634514	6	-166.6187	345.5384	3.2701398	0.010907662
14.6351224	-0.006404411	0.3912369	NA	NA	0.09532852	-0.02410966	-0.008459836	NA	9	-163.4481	345.5484	3.2800583	0.010853702
14.4215913	NA	NA	+	NA	NA	-0.02482608	-0.007917652	NA	7	-165.6055	345.6139	3.3455991	0.010503787
14.8514783	NA	0.2535078	NA	NA	NA	-0.02401589	-0.008214585	NA	7	-165.6071	345.6171	3.3487459	0.010487273
-0.6323882	NA	NA	NA	-0.033055498	NA	-0.02398049	NA	NA	6	-166.6602	345.6215	3.3532101	0.010463891
-2.5814352	-0.005336195	0.4657946	+	NA	0.10556262	-0.02378493	NA	-0.17919421	10	-162.4793	345.7585	3.4902157	0.009771085
-1.5909341	-0.004923774	0.3745413	+	NA	NA	-0.023859	NA	NA	8	-164.6245	345.7688	3.5004802	0.009721066
-2.7117169	-0.005318624	0.4742472	+	0.025797593	0.10505388	-0.02427718	NA	NA	10	-162.504	345.8081	3.5397642	0.009531988
-1.0380003	-0.004697628	0.286293	NA	NA	NA	-0.02386942	NA	NA	7	-165.7684	345.9396	3.6713162	0.008925187
13.687475	-0.003915893	NA	NA	NA	0.08360583	-0.02513982	-0.007625181	NA	8	-164.7197	345.9592	3.6909376	0.008838053
9.6228319	NA	0.4242735	+	NA	0.1007088	-0.02406577	-0.006318724	-0.11264569	10	-162.6026	346.0051	3.7367952	0.008637713
9.9657592	NA	0.4290784	+	-0.00183307	0.09985776	-0.02408926	-0.00650157	NA	10	-162.6162	346.0324	3.7641131	0.008520533
10.3382282	NA	NA	NA	NA	0.08687516	-0.02485025	-0.005989724	-0.27087257	8	-164.8321	346.1841	3.9158044	0.007898187
-0.91791	-0.00256876	NA	+	NA	NA	-0.0246398	NA	NA	7	-165.9333	346.2695	4.0011769	0.007568137
-1.9062705	-0.005115655	0.3631741	NA	NA	0.10150348	-0.02375444	NA	-0.20688828	9	-163.8147	346.2815	4.0131978	0.007522786
11.6946163	NA	NA	NA	-0.033036445	0.08380705	-0.02455316	-0.006641375	NA	8	-164.8921	346.3041	4.0357889	0.00743829
-1.0015027	NA	NA	+	NA	NA	-0.02444175	NA	-0.24700584	7	-165.9534	346.3097	4.0413403	0.007417672
-1.2411035	-0.003037942	NA	NA	NA	0.0912314	-0.02458446	NA	-0.35170347	8	-164.9203	346.3604	4.092136	0.007231651
-1.9135101	-0.00501466	0.3708486	NA	-0.010698552	0.09999004	-0.02376063	NA	NA	9	-163.8582	346.3685	4.1002334	0.007202432
-1.6951445	NA	0.3223016	+	NA	NA	-0.02384501	NA	-0.10157604	8	-164.9472	346.4142	4.1458804	0.007039909
-1.6900223	NA	0.3269785	+	-0.008839019	NA	-0.02374985	NA	NA	8	-164.9584	346.4367	4.1684268	0.006960992
17.3330103	-0.004172134	NA	NA	NA	NA	-0.02476494	-0.009155155	NA	7	-166.0247	346.4522	4.1838872	0.00690739
-1.0048812	NA	NA	+	-0.010002589	NA	-0.02444758	NA	NA	7	-166.0265	346.4559	4.1875629	0.006894706
11.34155	NA	0.3321464	NA	-0.03934584	0.09428278	-0.02351556	-0.006796329	NA	9	-163.9044	346.461	4.1926479	0.006877199
10.226406	NA	0.32512	NA	NA	0.09608467	-0.02403515	-0.00628023	-0.13100992	9	-163.9101	346.4723	4.2040106	0.006838238
-2.7790479	NA	0.4148879	+	0.01778236	0.10500542	-0.02411831	NA	-0.16665484	10	-162.8369	346.4739	4.2055667	0.00683292
-1.0518233	NA	0.2442466	NA	-0.037847734	NA	-0.02329666	NA	NA	7	-166.041	346.4849	4.2165987	0.006795333
-1.1426246	NA	0.2373905	NA	NA	NA	-0.02382019	NA	-0.12244849	7	-166.049	346.5008	4.2325096	0.006741488
17.7995242	-0.00643482	0.4008598	+	NA	NA	-0.02402293	-0.009920167	NA	9	-163.9653	346.5827	4.3143805	0.006471094
-1.3205404	NA	NA	NA	-0.018073806	0.09077733	-0.02431892	NA	-0.32669154	8	-165.0351	346.5901	4.3217889	0.006447168
-1.254847	-0.00275251	NA	NA	-0.011675017	0.08819497	-0.02474253	NA	NA	8	-165.0501	346.62	4.3517382	0.006351343
13.1944634	-0.003554933	NA	+	NA	0.0851401	-0.02525826	-0.007554706	NA	9	-164.0408	346.7337	4.4654263	0.006000377
18.5194932	-0.006259185	0.3123251	NA	NA	NA	-0.0239852	-0.010000896	NA	8	-165.1143	346.7485	4.4801912	0.005956242
15.5856897	NA	NA	NA	-0.05286677	NA	-0.02383096	-0.008269944	NA	7	-166.208	346.8188	4.5505083	0.005750468
10.0265363	NA	NA	+	NA	0.08883411	-0.02498215	-0.006009798	-0.30164779	9	-164.1003	346.8528	4.584517	0.005653512
14.396106	NA	NA	NA	NA	NA	-0.02457972	-0.007735253	-0.16026697	7	-166.226	346.8548	4.5864956	0.005647922
-1.9803446	NA	0.3171161	NA	-0.019388333	0.10005075	-0.02354108	NA	-0.19162888	9	-164.1369	346.9259	4.6575906	0.005450678
11.0046638	NA	NA	+	-0.005090519	0.08594416	-0.02512353	-0.006513538	NA	9	-164.1967	347.0455	4.77724	0.005134156
-1.594954	-0.002718313	NA	+	NA	0.09274945	-0.02469188	NA	-0.37771273	9	-164.2142	347.0805	4.8122002	0.00504519
13.6424954	-0.006623222	0.4902107	+	NA	0.10077685	-0.02406378	-0.008291812	-0.10564823	11	-162.0834	347.1303	4.8619413	0.004921261
13.9123591	-0.006616822	0.4949804	+	0.000901396	0.10003134	-0.02414191	-0.008441946	NA	11	-162.0951	347.1537	4.8854362	0.004863787
-1.7615286	NA	NA	+	0.009729736	0.09289447	-0.02487123	NA	-0.35281059	9	-164.3089	347.2699	5.0016216	0.004589287
16.7213654	-0.003854359	NA	+	NA	NA	-0.02487782	-0.009001363	NA	8	-165.4073	347.3345	5.0662312	0.0044434
-1.6894981	-0.002448475	NA	+	0.01380984	0.0897985	-0.0252352	NA	NA	9	-164.3665	347.3851	5.1167936	0.004332473
-0.5598406	-0.003007017	NA	NA	NA	NA	-0.02433324	NA	-0.24853431	7	-166.4918	347.3865	5.1182043	0.004329419
-0.5114034	-0.002812871	NA	NA	-0.03070467	NA	-0.02405932	NA	NA	7	-166.5477	347.4982	5.2298797	0.004094299
-0.5835267	NA	NA	NA	-0.035709264	NA	-0.02374589	NA	-0.23182758	7	-166.5965	347.5958	5.3275316	0.003899193
15.8683355	NA	0.25778	NA	-0.061616115	NA	-0.02302587	-0.008635716	NA	8	-165.5428	347.6054	5.3370698	0.003880642
14.7220459	NA	0.3392429	+	-0.032130155	NA	-0.02352111	-0.008376087	NA	9	-164.4807	347.6135	5.3451889	0.00386492
14.1009156	NA	0.3368352	+	NA	NA	-0.02402683	-0.00811	-0.02887388	9	-164.4977	347.6476	5.379331	0.003799502
13.9483481	NA	NA	+	NA	NA	-0.0247071	-0.007661017	-0.1835632	8	-165.5661	347.6521	5.3838097	0.003791003
15.2943395	-0.006387254	0.3922	NA	-0.036767017	0.09442212	-0.02355666	-0.008733501	NA	10	-163.428	347.656	5.3877282	0.003783583
14.2761934	-0.006424767	0.3858264	NA	NA	0.09628283	-0.02400785	-0.008262696	-0.13290093	10	-163.4304	347.6608	5.3924486	0.003774663
14.8445526	NA	NA	+	-0.02871925	NA	-0.02434507	-0.008083374	NA	8	-165.5915	347.7028	5.4345186	0.003696092
14.7354985	NA	0.2514589	NA	NA	NA	-0.0239892	-0.008149228	-0.04674863	8	-165.6046	347.7291	5.4608309	0.003647784
-1.5631876	-0.004948562	0.3696963	+	NA	NA	-0.02379707	NA	-0.10734047	9	-164.6104	347.873	5.6046401	0.0033947
-1.5756095	-0.004918989	0.3744873	+	-0.004488617	NA	-0.02378915	NA	NA	9	-164.6241	347.9004	5.6320606	0.003348475
-2.6716449	-0.005370304	0.4669737	+	0.024466748	0.10615724	-0.02414901	NA	-0.17595018	11	-162.4696	347.9028	5.6344831	0.003344422
12.9309917	-0.004081428	NA	NA	NA	0.08626566	-0.02486738	-0.00721778	-0.29560237	9	-164.6307	347.9135	5.6452049	0.003326541
-1.0036555	-0.004736907	0.2807559	NA	NA	NA	-0.02376511	NA	-0.13360402	8	-165.7477	348.0153	5.7470113	0.003161447
-0.931807	-0.004657957	0.2871072	NA	-0.033433169	NA	-0.0233487	NA	NA	8	-165.7487	348.0172	5.7488981	0.003158466
14.2212182	-0.00390987	NA	NA	-0.032255273	0.08290061	-0.02463572	-0.00784181	NA	9	-164.7041	348.0604	5.792073	0.003091013
9.663759	NA	0.4242723	+	-0.002087753	0.10065211	-0.02403391	-0.006335756	-0.11272588	11	-162.6025	348.1685	5.9001647	0.002928391
-0.869242	-0.002736582	NA	+	NA	NA	-0.02443645	NA	-0.26593249	8	-165.8475	348.2148	5.9465035	0.002861322