1 Appendix S1. Polymerase Chain Reaction (PCR) Protocol 2 DNA was extracted from 50 mg of desiccated needle tissue. DNA was extracted using a 3 modified version of the cetyl-trimethyl ammonium bromide (CTAB) method (Doyle 1991). All 4 reactions used 50-100 ng genomic DNA, 2 pmol of each primer, 0.5 mM each of dATP, dCTP, 5 and dTTP, 1 x PCR buffer, and 0.4 units of Taq polymerase. Thermocycling conditions followed 6 Liewlaksaneeyanawin et al. (2004) for the Lop1 and Lop5 loci and Maherali et al. (2002) for the 7 NZPR4.6 locus. For the Pico2, Pico3, Pico138, Pico104, Pico109, and Pico31 loci protocols 8 followed Lesser et al. (2012). To visualize genotypes forward primers were labeled with 9 fluorescent dyes and PCR products were detected via capillary electrophoresis on an ABI 3130 10 genetic analyzer (ABI, Foster City, CA). 11 Literature Cited 12 Doyle, J. (1991). DNA protocols for plants: a CTAB total DNA isolation. IN: Molecular 13 Techniques in Taxonomy (eds Hewitt, G.M. & Johnston, A.), pp. 283–293. Springer- 14 Verlag, Berlin. 15 Lesser, M.L., Parchman, T.L., & Buerkle, C.A. (2012). Cross-species transferability 16 of SSR loci developed from transcriptome sequencing in lodgepole pine. Molecular 17 Ecology Resources. 12: 448-455. 18 Liewlaksaneeyanawin C, Ritland CE, El-Kassaby YA, Ritland K. (2004). Single-copy, species- 19 transferable microsatellite markers developed from loblolly pine ESTs. Theoretical and 20 Applied Genetics. 109: 361–369. (doi: 10.1007/s00122-004-1635-7). 21 Maherali, H, Williams, B, Paige, K, Delucia, E. (2002). Hydraulic differentiation of Ponderosa 22 pine populations along a climate gradient is not associated with ecotypic divergence. 23 Functional Ecology. 16: 510–521. (doi: 10.1046/j.1365-2435.2002.00645.x). 24 25 Appendix S2. Input parameters for parentage simulation runs and LOD critical values at 80 and 26 50 % confidence in parentage assignment based on simulation runs. Parameters and critical 27 values are given by decade for each population. 28 Castle Garden candidate decade parents 1620 102 1630 \ 1640 \ 1650 \ 1660 \ 1670 103 1680 104 1690 105 1700 106 1710 107 1720 \ 1730 108 1740 112 1750 114 1760 118 1770 121 1780 125 1790 132 1800 \ 1810 137 1820 138 1830 140 1840 144 1850 151 1860 154 1870 163 1880 175 1890 183 1900 189 1910 198 1920 200 1930 202 1940 206 1950 213 1960 221 1970 226 1980 230 1990 237 2000 245 prop. sampled 0.02 \ \ \ \ 0.03 0.04 0.05 0.06 0.07 \ 0.07 0.11 0.12 0.15 0.17 0.20 0.24 \ 0.27 0.28 0.29 0.31 0.34 0.35 0.39 0.43 0.45 0.47 0.49 0.50 0.50 0.51 0.53 0.55 0.56 0.57 0.58 0.59 prop. loci typed 0.89 \ \ \ \ 0.74 0.72 0.73 0.74 0.71 \ 0.75 0.78 0.77 0.77 0.79 0.79 0.81 \ 0.80 0.80 0.81 0.81 0.82 0.83 0.83 0.81 0.82 0.82 0.82 0.82 0.82 0.81 0.81 0.82 0.82 0.82 0.81 0.80 parent pair single parent 80% critical LOD 50% critical LOD 80% critical LOD 50% critical LOD 999.00 999.00 999.00 999.00 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 999.00 999.00 999.00 3.38 8.50 8.25 4.50 3.56 8.25 8.13 5.00 3.57 999.00 9.50 4.81 3.50 999.00 8.21 4.44 3.70 \ \ \ \ 999.00 10.00 4.86 3.43 13.75 12.00 4.78 3.22 16.50 10.13 4.74 3.16 12.64 9.63 4.69 3.10 12.45 9.46 4.53 2.90 12.23 9.50 4.55 2.87 12.41 9.24 4.53 2.73 \ \ \ \ 12.73 9.43 4.60 2.79 12.62 9.25 4.54 2.73 12.41 9.18 4.47 2.60 12.70 9.24 4.51 2.61 12.57 9.10 4.50 2.53 12.28 9.02 4.48 2.50 12.59 9.03 4.50 2.43 12.68 9.14 4.59 2.53 12.64 9.12 4.61 2.48 12.92 9.13 4.65 2.45 13.00 9.24 4.70 2.51 13.02 9.22 4.67 2.50 13.03 9.19 4.70 2.49 13.04 9.24 4.74 2.57 13.06 9.24 4.74 2.55 12.99 9.09 4.78 2.46 13.06 9.19 4.79 2.48 13.05 9.12 4.80 2.49 13.15 9.32 4.88 2.61 13.36 9.42 4.96 2.75 Grass Creek decade 29 1740 1750 1760 1770 1780 1790 1800 1810 1820 1830 1840 1850 1860 1870 1880 1890 1900 1910 1920 1930 1940 1950 1960 1970 candidate parents 102 108 110 117 119 121 124 \ 126 131 134 135 136 139 143 145 148 154 155 157 159 160 161 162 prop. sampled 0.02 0.07 0.09 0.15 0.16 0.17 0.19 \ 0.21 0.24 0.25 0.26 0.26 0.28 0.30 0.31 0.32 0.35 0.36 0.36 0.37 0.38 0.39 0.40 prop. loci typed 0.61 0.71 0.77 0.74 0.73 0.71 0.69 \ 0.70 0.71 0.70 0.70 0.70 0.70 0.69 0.69 0.70 0.71 0.71 0.72 0.73 0.72 0.73 0.73 parent pair single parent 80% critical LOD 50% critical LOD 80% critical LOD 50% critical LOD 999.00 999.00 999.00 999.00 9.69 9.50 4.92 3.42 999.00 9.84 4.85 3.29 14.50 10.24 4.77 3.22 13.25 10.14 4.74 3.18 12.97 9.94 4.72 3.23 12.50 10.02 4.82 3.25 \ \ \ \ 12.97 10.08 4.83 3.22 13.00 10.09 4.75 3.23 13.84 10.24 4.87 3.27 13.92 10.19 4.85 3.26 14.13 10.15 4.83 3.27 12.95 10.11 4.83 3.24 13.46 10.13 4.82 3.24 13.48 10.27 4.83 3.26 13.30 10.30 4.78 3.22 13.55 10.11 4.84 3.20 13.68 10.16 4.81 3.18 13.42 10.20 4.83 3.18 13.79 10.18 4.77 3.14 13.52 10.13 4.81 3.14 13.46 10.05 4.80 3.14 13.56 10.07 4.77 3.12 30 Cottonwood Creek candidate decade parents 1540 101 1550 102 1560 \ 1570 103 1580 105 1590 \ 1600 106 1610 107 1620 109 1630 \ 1640 110 1650 114 1660 121 1670 125 1680 132 1690 139 1700 144 1710 151 1720 154 1730 160 1740 163 1750 169 1760 180 1770 196 1780 225 1790 259 1800 290 1810 316 1820 346 1830 390 1840 428 1850 469 1860 515 1870 552 1880 604 1890 649 1900 699 1910 741 1920 781 1930 809 1940 824 1950 845 1960 864 1970 877 1980 887 1990 890 2000 897 prop. sampled 0.02 0.02 \ 0.03 0.05 \ 0.06 0.07 0.09 \ 0.09 0.12 0.17 0.20 0.24 0.28 0.31 0.34 0.35 0.38 0.39 0.41 0.44 0.49 0.56 0.61 0.66 0.68 0.71 0.74 0.77 0.79 0.81 0.82 0.83 0.85 0.86 0.87 0.87 0.88 0.88 0.88 0.88 0.89 0.89 0.89 0.89 prop. loci typed 0.78 0.85 \ 0.89 0.87 \ 0.89 0.90 0.91 \ 0.86 0.87 0.86 0.87 0.85 0.85 0.84 0.84 0.84 0.84 0.83 0.83 0.84 0.82 0.82 0.82 0.81 0.80 0.80 0.80 0.81 0.82 0.82 0.83 0.83 0.83 0.83 0.83 0.83 0.83 0.84 0.84 0.84 0.84 0.84 0.84 0.84 parent pair single parent 80% critical LOD 50% critical LOD 80% critical LOD 50% critical LOD 999.00 999.00 3.50 3.50 999.00 999.00 999.00 3.65 \ \ \ \ 999.00 999.00 999.00 3.94 999.00 999.00 4.81 3.29 \ \ \ \ 999.00 999.00 5.23 3.36 999.00 9.94 4.70 3.27 999.00 9.75 4.82 3.23 \ \ \ \ 13.25 9.44 4.68 3.06 13.59 9.88 4.45 2.84 14.00 9.55 4.47 2.81 12.83 9.52 4.33 2.61 12.59 9.36 4.23 2.49 13.07 9.42 4.26 2.51 12.91 9.33 4.18 2.50 13.16 9.41 4.18 2.47 12.94 9.29 4.20 2.44 13.18 9.21 4.19 2.42 13.06 9.32 4.20 2.43 12.87 8.99 4.19 2.35 13.02 8.73 4.09 2.18 12.55 8.62 4.19 2.17 12.50 8.35 4.17 1.99 12.40 8.05 4.18 1.69 12.42 8.10 4.20 1.73 12.66 8.11 4.26 1.64 12.42 8.06 4.28 1.68 12.38 7.93 4.31 0.97 12.52 7.85 4.32 0.00 12.47 7.74 4.33 0.00 12.33 7.78 4.36 0.00 12.38 7.54 4.37 0.00 12.51 7.68 4.42 0.00 12.68 7.77 4.48 0.00 12.89 7.87 4.59 0.00 12.77 7.93 4.51 0.00 12.67 7.82 4.51 0.00 12.81 8.05 4.59 0.00 13.00 8.10 4.59 0.00 12.82 8.05 4.59 0.00 12.81 8.12 4.58 0.00 12.82 8.08 4.58 0.00 12.83 8.01 4.57 0.00 12.97 8.05 4.61 0.00 14.39 9.63 5.11 2.87 31 32 33 34 35 36 37 38 39 40 Anchor Dam candidate decade parents 1700 102 1710 \ 1720 \ 1730 \ 1740 103 1750 \ 1760 104 1770 105 1780 106 1790 107 1800 110 1810 114 1820 116 1830 119 1840 125 1850 129 1860 133 1870 138 1880 144 1890 147 1900 157 1910 160 1920 165 1930 177 1940 196 1950 216 1960 222 prop. sampled 0.02 \ \ \ 0.03 \ 0.04 0.05 0.06 0.07 0.09 0.12 0.14 0.16 0.20 0.22 0.25 0.28 0.31 0.32 0.36 0.38 0.39 0.44 0.49 0.54 0.55 prop. loci typed 0.94 \ \ \ 0.93 \ 0.94 0.93 0.94 0.95 0.96 0.97 0.97 0.95 0.94 0.92 0.92 0.90 0.91 0.91 0.88 0.88 0.88 0.87 0.88 0.88 0.89 parent pair 80% critical LOD 50% critical LOD 999.00 999.00 \ \ \ \ \ \ 8.00 8.00 \ \ 9.50 9.00 999.00 10.00 999.00 10.25 11.88 9.22 12.50 9.57 13.10 9.84 12.82 9.58 12.59 9.31 12.46 9.41 12.88 9.36 12.78 9.62 13.26 9.72 13.44 9.62 13.21 9.49 13.38 9.72 13.32 9.57 13.71 9.80 13.65 9.87 13.66 9.69 13.73 9.72 13.93 9.88 single parent 80% critical LOD 50% critical LOD 3.50 3.50 \ \ \ \ \ \ 4.66 3.48 \ \ 4.94 3.48 5.03 3.33 4.77 3.21 4.70 2.96 4.41 2.60 4.34 2.53 4.34 2.53 4.30 2.46 4.32 2.52 4.35 2.57 4.40 2.61 4.44 2.66 4.47 2.66 4.47 2.60 4.56 2.77 4.57 2.75 4.59 2.80 4.70 2.87 4.75 2.86 4.86 2.93 4.87 2.96 41 Appendix S3. Characteristics of nine microsatellite loci used in the study. Expected 42 heterozygosity is the estimated fraction of individuals that would be heterozygous under Hardy- 43 Weinburg equilibrium. 44 locus # of alleles lop1 16 lop5 13 NZPR4.6 21 Pico2 15 Pico3 11 Pico138 22 Pico104 17 Pico109 25 Pico31 9 45 Appendix S4. Mean number of alleles and mean polymorphic information content (PIC) across 46 all nine microsatellite loci at each study site. Combined exclusion probabilities for first parent, 47 second parent, and parent pairs at each study site min. allele size 146 165 195 183 160 126 121 122 162 max. allele size 180 210 238 211 188 170 169 170 187 het obs. 0.71 0.73 0.44 0.65 0.07 0.43 0.49 0.46 0.07 Combined nonexclusion prob. (first parent) 0.005 0.010 0.027 0.047 het exp. 0.81 0.79 0.66 0.78 0.30 0.79 0.89 0.79 0.28 Combined nonexclusion prob. (second parent) <0.001 <0.001 0.002 0.004 Combined nonexclusion prob. ( parent pair) <0.001 <0.001 <0.001 <0.001 site mean number of alleles per locus mean PIC 48 Castle Garden Grass creek Cottonwood Creek Anchor Dam 12.44 9.67 14.78 10.00 0.71 0.70 0.60 0.61 49 Appendix S5. Polymorphic information content (PIC) for nine microsatellite loci at each of the 50 four study populations. loci 51 lop1 lop5 NZPR4.6 Pico2 Pico3 Pico138 Pico104 Pico109 Pico31 PIC Castle Garden Grass Creek Cottonwood Creek Anchor Dam 0.79 0.70 0.74 0.62 0.70 0.73 0.71 0.61 0.76 0.65 0.48 0.59 0.78 0.84 0.73 0.73 0.41 0.55 0.20 0.39 0.84 0.81 0.76 0.67 0.90 0.81 0.86 0.83 0.86 0.83 0.74 0.68 0.37 0.40 0.20 0.39 52 Appendix S6. Estimated null allele frequencies for each of the four study populations. a indicates 53 loci where null alleles are present based on van Oosterhout et al. (2004). 54 55 56 57 58 59 60 61 62 63 64 65 66 locus Castle Garden null allele frequency Grass Cottonwood Creek Creek lop1 lop5 0.0035 -0.0160 0.1351a -0.0078 0.0297a 0.0056 NZPR4.6 0.1745a 0.1655a 0.0856a 0.0317 a a Anchor Dam 0.159a 0.047 Pico2 0.0751 0.1800 0.0461a 0.0791a Pico3 0.2723a 0.3670a 0.2493a 0.2903a a a a Pico138 0.2214 0.3086 0.1955 0.3083a Pico104 0.1867a 0.2060a 0.2113a 0.2701a Pico109 0.2518a 0.1784a 0.1782a 0.1736a a a a 0.3022a Pico31 0.2449 0.3278 0.2439 67 Appendix S7. Model parameters for age to first reproduction against time since population initiation fit to a weibull distributiona for 68 the four study sites with 80 and 50% parent assignments. 80% parent assignments site parameter Castle Garden intercept (α ) time of establishment from pop. Initiation (t) Grass Creek Cottonwood Creek Anchor Dam 73 74 75 76 77 a b * P>0.001 SE z 5.42 0.56 9.72 -0.01 0.00 -2.39 log(scale) (k) -0.83 0.00 \ intercept (α) 4.47 0.06 75.25 time of establishment from pop. Initiation (t) 0.00 0.00 \ 50% parent assignments Pb 2.46e -22 * 1.70e -2 * \ 0.00 * \ z Pb coefficent SE 5.79 0.25 23.44 1.65e -121 * -0.01 0.00 -5.47 4.43e -8 * -0.74 0.13 -5.76 8.62e -9 * 6.62 0.34 19.65 6.08e -86 * -0.01 0.00 -5.98 2.27e -9 * log(scale) (k) intercept (α) -2.53 5.78 0.59 0.12 -4.29 47.60 1.76e 0.00 * * -1.53 5.29 0.22 0.10 -6.86 6.86e -12 * 50.80 0.00 * time of establishment from pop. Initiation (t) -0.54 0.00 -12.20 4.09e -34 * 0.00 0.00 -11.30 1.63e -29 * log(scale) (k) -0.78 0.05 -15.30 3.71e -53 * -0.63 0.04 -15.70 7.44e -56 * -5 intercept (α) 6.23 0.47 13.24 5.12e * 6.04 0.19 32.31 5.18e -229 * time of establishment from pop. Initiation (t) -0.01 0.00 -4.07 4.62e -5 * -0.01 0.00 -8.67 4.32e -18 * -1.14 0.12 -9.20 3.64e -20 * log(scale) (k) 69 70 71 72 coefficent -1.18 0.23 -5.09 3.57e -40 -7 * 78 79 80 Appendix S8. Slope and breakpoint coefficients for regression analysis of per capita growth rate against population size for the study populations. Coefficients are given for the total population, for individuals with compatible local parents and individuals with parents assigned at 50 and 80% confidence. (*** P>0.001, **P>0.01, *P>0.05) Parameter Slope1 Slope 2 Breakpoint (pop.size) Parameter 81 Slope1 Slope 2 Breakpoint (pop.size) Total Pop. -0.0009** \ \ Total Pop. -0.0002*** \ \ Castle Garden Compat. 50% Assign. Estab. Estab. 0.0002* 0.0005** \ -0.0005** \ 60 Cottonwood Creek Compat. 50% Assign. Estab. Estab. 0.0013*** 0.0007*** -0.0016*** -0.0009*** 124 171 80% Assign. Estab. 0.0001*** -0.0003*** 75 80% Assign. Estab. 0.0001*** -0.0003*** 401 Total Pop. -0.0063*** \ \ Total Pop. -0.0011** \ \ Grass Creek Compat. 50% Assign. Estab. Estab. 0.0011** 0.0006** -0.0067** -0.0039** 52 54 80% Assign. Estab. 0.0001 \ \ Anchor dam Compat. 50% Assign. Estab. Estab. 0.0012*** 0.0008*** -0.045*** -0.0135*** 118 115 80% Assign. Estab. 0.0004*** -0.0074*** 117 Appendix S9. Number and timing of extra-local parentage assignments for the four study populations. All assignments are based on 95% confidence LOD critical values.