Table 1.

Characteristics of half-sib families

Family	ni	Putative species	Location	X	Y	si	ci	mi	θi	Mating preference	Mating system
1	9	petraea	Central	89·9	70	0·002	0·738	0·260	0·091	petraea	Outcrossing
2	44	petraea	Central	72·5	70	0·001	0·420	0·579	0·036	petraea	Outcrossing
3	10	petraea	Central	66·7	91	0·002	0·668	0·329	0·061	Any	Outcrossing
4	7	petraea	Central	75·4	77	0·003	0·613	0·384	0·103	Any	Outcrossing
5	20	petraea	Central	66·7	77	0·002	0·327	0·672	0·046	Any	Outcrossing
6	24	petraea	Peripheral	81·2	133	0·001	0·313	0·686	0·082	Any	Outcrossing
7	14	petraea	Peripheral	142·1	133	0·003	0·475	0·523	0·038	Any	Outcrossing
8	16	petraea	Central	159·5	119	0·002	0·435	0·563	0·113	Any	Outcrossing
9	69	petraea	Central	150·8	91	0·001	0·854	0·146	0·184	petraea	Outcrossing
10	31	petraea	Central	147·9	77	0·001	0·875	0·124	0·106	petraea	Outcrossing
11	54	petraea	Central	121·8	91	0·074	0·691	0·235	0·046	petraea	Mixed
12	37	petraea	Central	110·2	77	0·001	0·682	0·317	0·060	petraea	Outcrossing
13	7	petraea	Peripheral	168·2	126	0·030	0·515	0·456	0·102	Any	Outcrossing
14	7	petraea	Peripheral	205·9	140	0·007	0·352	0·641	0·062	Any	Outcrossing
15	10	petraea	Peripheral	179·8	126	0·002	0·629	0·369	0·054	Any	Outcrossing
16	9	petraea	Central	185·6	119	0·003	0·753	0·244	0·098	petraea	Outcrossing
17	8	petraea	Peripheral	203	133	0·003	0·353	0·644	0·125	Any	Outcrossing
18	7	petraea	Central	171·1	119	0·003	0·540	0·457	0·222	Any	Outcrossing
19	23	petraea	Central	208·8	119	0·001	0·293	0·705	0·092	Any	Outcrossing
20	46	petraea	Central	220·4	119	0·001	0·580	0·419	0·150	petraea	Outcrossing
21	12	petraea	Central	214·6	105	0·003	0·199	0·799	0·228	Any	Outcrossing
22	19	petraea	Central	208·8	91	0·001	0·410	0·588	0·075	Any	Outcrossing
23	12	petraea	Central	220·4	84	0·002	0·520	0·477	0·200	Any	Outcrossing
24	14	petraea	Central	200·1	77	0·002	0·744	0·254	0·210	petraea	Outcrossing
25	79	petraea	Central	220·4	77	0·036	0·581	0·383	0·070	petraea	Outcrossing
26	25	petraea	Central	176·9	91	0·001	0·144	0·855	0·428	Any	Outcrossing
27	73	petraea	Central	179·8	77	0·000	0·842	0·157	0·058	petraea	Outcrossing
28	20	petraea	Central	182·7	84	0·002	0·686	0·313	0·105	petraea	Outcrossing
29	21	petraea	Central	211·7	77	0·002	0·581	0·417	0·045	robur	Outcrossing
30	64	petraea	Central	263·9	49	0·001	0·558	0·441	0·160	petraea	Outcrossing
31	14	petraea	Central	255·2	49	0·002	0·691	0·307	0·071	Any	Outcrossing
32	37	petraea	Central	272·6	49	0·001	0·730	0·269	0·048	petraea	Outcrossing
33	11	petraea	Central	261	56	0·002	0·659	0·339	0·068	petraea	Outcrossing
34	39	petraea	Central	255·2	84	0·001	0·354	0·645	0·076	petraea	Outcrossing
35	17	petraea	Central	269·7	42	0·002	0·401	0·597	0·077	Any	Outcrossing
36	77	petraea	Central	249·4	91	0·000	0·570	0·430	0·058	petraea	Outcrossing
37	21	petraea	Central	261	77	0·002	0·624	0·375	0·089	petraea	Outcrossing
38	19	petraea	Peripheral	287·1	49	0·002	0·607	0·391	0·057	Any	Outcrossing
39	12	petraea	Peripheral	290	28	0·003	0·404	0·593	0·061	Any	Outcrossing
40	11	petraea	Central	165·3	35	0·002	0·338	0·660	0·169	Any	Outcrossing
41	81	petraea	Central	174	35	0·001	0·530	0·470	0·053	petraea	Outcrossing
42	41	petraea	Central	171·1	63	0·001	0·707	0·293	0·044	petraea	Outcrossing
43	7	petraea	Central	165·3	63	0·002	0·498	0·500	0·069	Any	Outcrossing
44	9	petraea	Peripheral	52·2	7	0·002	0·188	0·810	0·114	Any	Outcrossing
45	22	petraea	Peripheral	58	28	0·003	0·301	0·696	0·051	Any	Outcrossing
46	19	petraea	Central	63·8	63	0·021	0·355	0·624	0·050	Any	Outcrossing
47	16	petraea	Central	75·4	63	0·002	0·426	0·572	0·115	Any	Outcrossing
48	30	petraea	Peripheral	69·6	140	0·002	0·526	0·472	0·064	petraea	Outcrossing
49	34	petraea	Central	130·5	63	0·001	0·672	0·327	0·059	petraea	Outcrossing
50	31	petraea	Peripheral	87	140	0·002	0·451	0·547	0·061	petraea	Outcrossing
51	13	petraea	Peripheral	110·2	133	0·002	0·465	0·533	0·050	Any	Outcrossing
52	13	petraea	Peripheral	84·1	147	0·002	0·456	0·542	0·125	Any	Outcrossing
53	8	petraea	Peripheral	188·5	147	0·003	0·416	0·581	0·055	Any	Outcrossing
54	15	petraea	Peripheral	174	140	0·002	0·543	0·455	0·075	Any	Outcrossing
55	16	petraea	Peripheral	46·4	21	0·002	0·119	0·880	0·057	Any	Outcrossing
56	41	petraea	Peripheral	55·1	21	0·001	0·238	0·761	0·195	Any	Outcrossing
57	7	petraea	Central	261	91	0·003	0·422	0·575	0·126	Any	Outcrossing
58	68	robur	Central	153·7	84	0·001	0·476	0·524	0·358	petraea	Outcrossing
59	26	robur	Central	142·1	84	0·001	0·597	0·402	0·094	petraea	Outcrossing
60	30	robur	Central	118·9	77	0·023	0·628	0·349	0·045	Any	Outcrossing
61	7	robur	Peripheral	214·6	126	0·003	0·275	0·723	0·162	Any	Outcrossing
62	12	robur	Central	240·7	105	0·002	0·186	0·812	0·195	Any	Outcrossing
63	46	robur	Central	188·5	70	0·001	0·735	0·264	0·034	petraea	Outcrossing
64	21	robur	Central	278·4	63	0·001	0·483	0·516	0·039	Any	Outcrossing
65	25	robur	Central	266·8	84	0·001	0·530	0·469	0·180	Any	Outcrossing
66	40	robur	Peripheral	281·3	56	0·001	0·295	0·705	0·029	robur	Outcrossing
67	40	robur	Central	275·5	56	0·001	0·365	0·634	0·048	petraea	Outcrossing
68	23	robur	Central	176·9	63	0·026	0·296	0·678	0·193	robur	Outcrossing
69	11	robur	Central	66·7	56	0·003	0·422	0·575	0·050	Any	Outcrossing
70	7	robur	Peripheral	66·7	21	0·003	0·274	0·723	0·034	Any	Outcrossing
71	29	intermediate	Central	159·5	77	0·001	0·443	0·556	0·068	Any	Outcrossing
72	74	intermediate	Central	92·8	63	0·001	0·798	0·201	0·182	petraea	Outcrossing

n_i, number of progeny in the i-th family; putative species, species assignation of the mother tree; X and Y, relative co-ordinates (in metres); s_i, posterior average self-fertilization rate; c_i, posterior average outcrossing rate with local trees; m_i, posterior average outcrossing with an immigrant pollen; θ_i, divergence of an immigrant pollen pool of the i-th mother tree from the total background population (alternative paternity identity within immigrant pollen); mating preference, preference towards mating with trees of a given (if any) species, inferred based on a test of whether the rate of acceptance of conspecific pollen is >0·5 (see text for details); mating system, preference towards purely outcross pollination or mixed self- and outcross pollination, inferred based on a test of whether a rate of self-fertiliztion is >0 (see text for details).