Supplementary material – Van DrunenDorken1

Appendix 1 - Directionality of correlated evolution between SSS and pollination mode, clonality and woodiness

To determine the direction of the evolutionary associations between SSS and the three traits, we examined the individual transition rates between discrete character states as recommended by Pagel and Meade (2006; e.g. Arbuckle et al 2013). For each of the traits, we performed additional runs of the dependent model restricting one of the eight estimated transition rates to zero. If restricting the transition rate decreased the fit of the model (i.e. the Running Harmonic Mean of the restricted model was significantly higher than that of the full dependent model), we concluded that the estimated rate was significantly different from zero and contributed to the association between SSS and the trait. Figure A1-1 shows the significant transition rates for the dependent models of each trait averaged over 5000 model iterations.

Inspection of the significant transition rates associated each model indicate patterns of correlated evolution between pairs of discrete traits. For pollination mode, the transition rates q24 and q34 indicate a joint shift towards wind pollination and SSS, while q21 and q31 additionally suggest a tendency for animal pollination to be associated with non- SSS. Transition rates calculated for the clonality model do not indicate clear changes between discrete states. Instead, the data indicate that transitions between SSS and non-SSS were similar in both clonal and non-clonal groups (q24 and q42 are approximately equal, as are q13 and q31), but with a tendency towards transitions towards SSS in clonal species (q34). Lastly, for woodiness we find an overall association between non-SSS and woodiness (q12, q42 > q24), and SSS and herbaceous lineages (q43, q13 > q31).

References

Arbuckle K, Brockhurst M, Speed MP (2013) Does chemical defence increase niche space? A phylogenetic comparative analysis of the Musteloidea.EvolEcol 27:863-881

Pagel M, Meade A (2006) Bayesian analysis of correlated evolution of discrete characters by Reversible-Jump Markov Chain Monte Carlo. Am Nat 167:808-825

Fig.A1-1: Significant transition rates (± SE) for the dependent models of evolution between SSS and A) pollination mode, B) clonality, C) woodiness.

Appendix 2 – Complete R code (given in a separate text file)

Supplementary material – Van DrunenDorken1

Appendix 3 –List of the 68 dioecious species used in the comparative analysis. Included are the traits investigated for each species. The final column contains the sources used to obtain the trait information.

Species
(APG Family) / SSS Observed / Pollination Method / Clonal Reproduction / Woody / Source(s)
Amaranthuscannabinus
(Amaranthaceae) / no / abiotic / no / herbaceous / Bram and Quinn 2000
Spinaciaoleracea
(Amaranthaceae) / yes / abiotic / no / herbaceous / Bierzychudek and Eckhart 1988
Freeman et al., 1997
Schlerocaryabirrea
(Anacardiaceae) / no / biotic / no / woody / Gouwakinnou et al., 2012
Anistomeflexuosa
(Apiaceae) / yes / biotic / no / herbaceous / Bierzychudek and Eckhart 1988
Museum of New Zealand (2012)
Laretiaacaulis
(Apiaceae) / yes / biotic / yes / herbaceous / Hoffman and Alliende 1984
Bierzychudek and Eckhart 1988
Arisaematriphyllum†
(Araceae) / yes / biotic / yes / herbaceous / Lovett-Doust and Caver 1982
Bieraychudek and Eckhar 1988
Aralia nudicaulis
(Araliaceae) / yes / biotic / yes / herbaceous / Barrett and Thomson 1982
Baccharisconcinna
(Asteraceae) / no / biotic / no / woody / Marques et al., 2002
Gomes et al., 2004
Dacryodesexcelsa
(Burseraceae) / no / biotic / no / woody / Forero-Montana et al., 2010
Simmondsiachinensis
(Buxaceae) / yes / abiotic / no / woody / Waser 1984
Niklas and Buchmann 1985
Bierzychudek and Eckhart 1988
Honckenyapeploides
(Caryophyllaceae) / yes / biotic / yes / herbaceous / Sanchez-Vilas and Retuerto 2009
Silenelatifolia
(Caryophyllaceae) / no / biotic / no / herbaceous / Lovett-Doust et al., 1987
Bierzychudek and Eckhart 1988
Taylor et al., 1999
Atriplexconfertifolia
(Chenopodiaceae) / yes / abiotic / no / woody / Bierzychudek and Eckhart 1988
Sanderson 2011
Species
(APG Family) / SSS Observed / Pollination Method / Clonal Reproduction / Woody / Source(s)
Nyssa aquatica
(Cornaceae) / yes / abiotic / no / woody / Shea et al., 1993
Austrocedruschilensis
(Cupressaceae) / yes / abiotic / no / woody / Aizen and Rovere 1995
Nunez et al., 2008
Juniperuscommunis subsp. alpina
(Cupressaceae) / yes / abiotic / no / woody / Ortiz et al., 2002
J. communis var. depressa / no / abiotic / no / woody / Marion and Houle 1996
Houle and Duchesne 1999
J. virginiana / no / abiotic / no / woody / Vasiliauskas and Aarssen 1992
Dioscorea japonica
(Dioscoreaceae) / no / biotic / yes / herbaceous / Mizuki et al., 2010
Ephedra viridis
(Ephedraceae) / yes / abiotic / no / woody / Bierzychudek and Eckhart 1988
Hollander et al., 2010
Ceratiolaericoides
(Ericaceae) / no / abiotic / no / woody / Schmidt 2008
Coremaconradii
(Ericaceae) / no / abiotic / no / woody / Rocheleau and Houle 2001
Mercurialisperennis
(Euphorbiaceae) / yes / abiotic / yes / herbaceous / Wade et al., 1981
Bierzychudek and Eckhart 1988
Cvetkovic and Jovanovic 2007
Uapacakirkiana
(Euphorbiaceae) / no / biotic / no / woody / Ngulube et al., 1998
Vallisneriaamericana
(Hydrocharitaceae) / yes / abiotic* / yes / herbaceous / Lovett-Doust and LaPorte 1991
Lokker et al., 1994
Ocoteatenera
(Lauraceae) / yes / biotic / no / woody / Wheelwright and Bruneau 1992
Chamaeliriumluteum
(Melanthiaceae) / yes / biotic / no / herbaceous / Meagher 1980
Bierzychudek and Eckhart 1988
Guarealuxii
(Meliaceae) / no / biotic / no / woody / Bawa and Opler 1977
Bierzychudek and Eckhart 1988
Trichiliacatigua
(Meliaceae) / no / biotic / no / woody / Morellato 2004
T. clausseni / no / biotic / no / woody / Morellato 2004
T. pallida / no / biotic / no / woody / Morellato 2004
Species
(APG Family) / SSS Observed / Pollination Method / Clonal Reproduction / Woody / Source(s)
Peumusboldus
(Monimiaceae) / yes / biotic / no / woody / Hoffman and Alliende 1984
Bierzychudek and Eckhart 1988
Trophisinvolucrata
(Moraceae) / yes / abiotic / no / woody / Cox 1981
Bierzychudek and Eckhart 1988
Compsoneurasprucei
(Myristicaceae) / no / biotic / no / woody / Bullock 1982
Freeman et al., 1997
Fraxinusmandshurica
(Oleaceae) / yes / abiotic / no / woody / Goto et al., 2006
Zhang et al., 2010
Catasetumviridiflavum
(Orchidaceae) / yes / biotic / yes / herbaceous / Bierzychudek and Eckhart 1988
Murren 2003
Buchloedactyloides
(Poaceae) / no / abiotic / yes / herbaceous / Quinn 1991
Distichlisspicata
(Poaceae) / yes / abiotic / yes / herbaceous / Eppley et al., 1998
Mercer and Eppley 2010
Rogers and Eppley 2012
Hesperochloakingii
(Poaceae) / yes / abiotic / yes / herbaceous / Fox and Harrison 1981
Bierzychudek and Eckhart 1988
Poaligularis
(Poaceae) / yes / abiotic / yes / herbaceous / Bertiller et al., 2000
Bertiller et a., 2002
Podocarpusnagi
(Podocarpaceae) / yes / abiotic / no / woody / Nanami et al., 2005
Rumexacetosa
(Polygonaceae) / yes / abiotic / yes / herbaceous / Korpelainen 1991
R. acetosella / yes / abiotic / yes / herbaceous / Korpelainen 1991
Triplarisamericana
(Polygonaceae) / no / biotic / no / woody / Melampy and Howe 1977
Bierzychudek and Eckhart 1988
Thalictrumdioicum
(Ranunculaceae) / yes / abiotic / yes / herbaceous / Melampy 1981
Bierzychudek and Eckhart 1988
T. fendleri / yes / abiotic / yes / herbaceous / Bierzychudek and Eckhart 1988
Steven and Waller 2007
T. polygamum / yes / abiotic / yes / herbaceous / Melampy 1981
Bierzychudek and Eckhart 1988
Rhamnusalaternus
(Rhamnaceae) / no / biotic / no / woody / Guitan 1995
Species
(APG Family) / SSS Observed / Pollination Method / Clonal Reproduction / Woody / Source(s)
Fragariachiloensis
(Rosaceae) / no / biotic / yes / herbaceous / Hancock and Bringhurst 1980
Bierzychudek and Eckhart 1988
Oemleriacerasiformis
(Rosaceae) / no / biotic / yes / woody / Allen and Antos 1993
Rubuschamaemorus
(Rosaceae) / no / biotic / yes / herbaceous / Karst et al., 2008
Brown and McNeil 2009
Randiaspinosa
(Rubiaceae) / no / biotic / no / woody / Bawa and Opler 1977
Bierzychudek and Eckhart 1988
Zanthoxylemsetulosum
(Rutaceae) / no / biotic / no / woody / Bawa and Opler 1977
Bierzychudek and Eckhart 1988
Populusdeltoides var. Wislizenii
(Salicaeae) / no / abiotic / no / woody / Rowland and Johnson 2001
P. nigra / yes / abiotic / yes / woody / Hughes et al., 2000
P. tremuloides / yes / abiotic / yes / woody / Grant and Mitton 1979
Bierzychudek and Eckhart 1988
Salix arctica
(Salicaeae) / yes / biotic / yes / woody / Bierzychudek and Eckhart 1988
Dawson and Bliss 1993
S. cinerea / no / biotic / yes / woody / Alliende and Harper 1989
Tollsten and Knudsen 1992
S. glauca / yes / mixed / yes / woody / Dudley 2006
S. herbacea / no / abiotic / yes / woody / Bierzychudek and Eckhart 1988
Crawford and Belfour 1983
S. lapponun / no / mixed / yes / woody / Totland and Sottocornola 2001
Hughes et al., 2010
S. polaris / no / abiotic / yes / woody / Bierzychudek and Eckhart 1988
Crawford and Belfour 1983
S. sachalinensis / no / mixed / yes / woody / Ueno et al., 2007
Osyrisquadripartita
(Santalaceae) / no / biotic / no / woody / Herrera 1984
Bierzychudek and Eckhart 1988
Acer negundo
(Sapindaceae) / yes / abiotic / no / woody / Bierzychudek and Eckhart 1988
Dawson and Ehleringer 1993
Molina et al., 1996
Eurycorymbuscavaleriei
(Sapindaceae) / no / biotic / no / woody / Gao et al., 2009
Species
(APG Family) / SSS Observed / Pollination Method / Clonal Reproduction / Woody / Source(s)
Siparunagrandiflora
(Siparunaceae) / no / biotic / no / woody / Nicotra 1998
Cecropiaschreberiana
(Urticacaea) / no / abiotic / no / woody / Brokaw 1998
Forero-Montana et al., 2010
Phyllospadixtorreyi
(Zosteraceae) / yes / abiotic* / yes / herbaceous / Williams 1995

* -- aquatic pollination.

† -- sex changing hermaphrodite.

Supplementary material – Van DrunenDorken1

References for Appendix 3

Aizen, M.A., and A.E. Rovere. 1995. Does pollen viability decrease with aging? A cross-population examination in Austrocedruschilensis (Cupressaceae). International Journal of Plant Sciences 156:227-231.

Allen, G.A., and J.A. Antoes. 1993. Sex-ratio variation in the dioecious shrub Oemleriacerasiformis. American Naturalist 141:537-553.

Alliende, M.C., and J.L. Harper. 1989. Demographic –studies of a dioecious tree. 1. Colonization, sex and age structure of a population of Salix cinerea. Journal of Ecology 77:1029-1047.

Barrett, S.C.H., and J.D. Thomson. 1982. Spatial pattern, floral sex ratios, and fecundity in dioeciousAralia nudicaulis(Araliaceae). Canadian Journal of Botany 60:1662-1670.

Bawa, K.S., and P.A. Opler. 1977. Spatial relationship between staminate and pistillate plants of dioecious tropical forest trees. Evolution 31:64-68.

Bertiller, M.B., J.O Ares, P. Graff, and R. Baldi. 2000. Sex-related spatial patterns of Poaligularis in relation to shrub patch occurrence in northern Patagonia. Journal of Vegetation Science 11:9-14.

Bertiller, M.B., C.L. Sain, A.J. Bisigato, F.R. Coronato, J.O. Aries, and P. Graff. 2002. Spatial sex segregation in the dioecious grass Poaligularis in northern Patagonia: the role of environmental patchiness. Biodiversity and Conservation 11:69-84.

Bierzychudek, P., and V. Eckhart. 1988. Spatial segregation of the sexes of dioecious plants. The American Naturalist 132:34-43.

Bram, M.R., and J.A. Quinn. 2000. Sex expression, sex-specific traits, and the effects of salinity on growth and reproduction of Amaranthuscannabinus (Amaranthaceae), a dioecious annual. American Journal of Botany 87:1609-1618.

Brokaw, N.V.L. 1998. Cecropiaschreberina in the Luquillo Mountains of Puerto Rico. Botanical Review 64:91-120.

Brown, A.O., and J.N. McNeil. 2009. Pollination ecology of the high latitude, dioecious cloudberry (Rubuschamaemorus; Rosaceae). American Journal of Botany 96: 1096-1107.

Bullock, S.H., 1982. Population structure and reproduction in the neotropicaldioecious tree Componseurasprucei. Oecologia 55:238-242.

Crawford, R.M.M., and J. Balfour. 1983. Female predominant sex ratios and physiological differentiation in arctic willows. Journal of Ecology 71:149-160.

Cox, P.A. 1981.Niche partitioning between sexes of dioecious plants. American Naturalist 117:295-307.

Cvetkovic, D., and V. Jovanovic. 2007. Altitudinal variation of the sex ratio and segregation by gender in the dioecious plant Mercurialisperennis L. (Euphorbiaceae) in Serbia. Archives of Biological Science 59(3):193-198.

Dawson, T.E., and L.C. Bliss. 1989. Patterns of water-use and the tissue water relations in the dioecious shrub Salix arctica – The physiological-basis for habitat partitioning between the sexes. Oecologia 79(3):332-343.

Dawson. T.E., and J.R. Ehleringer. 1993. Gender-specific physiology, carbon isotope discrimination, and habitat distribution in Boxelder, Acer negundo. Ecolog 74(3):798-815.

Dudley, L.S. 2006. Ecological correlates of secondary sexual dimorphism in Salix glauca (Salicaceae). American Journal of Botany 93(12):1775-1783.

Eppley, S.M., M.L. Stanton, and R.K. Grosberg, RK. 1998. Intrapopulation sex ratio variation in the salt grass Distichlisspicata. American Naturalist 152(5):659-670.

Forero-Montana, J., J.K. Zimmerman, and J. Thompson. 2010. Population structure, growth rates and spatial distribution of two dioecious tree species in a wet forest in Puerto Rico. Journal of Tropical Ecology 26:433-443.

Fox, J.F., and A.T. Harrison. 1981. Habitat assortment of sexes and water balance in a dioecious grass. Oecologia 49:233-235.

Freeman, D.C., J. Lovett-Doust, A. El-Keblawy, K.J. Miglia, and E.D. McArther. 1997. Sexual specialization and inbreeding avoidance in the evolution of dioecious. Botanical Review 63: 65-92.

Gao, P.X., M. Kang, J. Wang, Q.G Ye, and H.W. Huang. 2009. Neither biased sex ratio nor spatial segregation of the sexes in the subtropical dioecious tree Eurycorymbuscavaleriei (Sapindaceae). Journal of Integrative Plant Biology 51:604-613.

Gomes, V., R.G. Collevatti, F.A.O. Silveira, and G.W. Fernandes. 2004. The distribution of genetic variability in Baccharisconcinna (Asteraceae), and endemis, dioecous and threatened shrub of rupestrian fields of Brazil. Conservation Genetics 5:157-165.

Goto, S., K. Shimatani, H. Yoshimaru, and Y. Takahashi. 2006. Fat-tailed gene flow in the dioecious canopy tree species Fraxinusmandshurica var. japonica revealed by microsatellites. Molecular Ecology 15:2985-2996.

Gouwakinnou, G.N., A.M. Lykke, B.A. Djossa, and B. Sinsin. 2011. Folk perception of sexual dimorphism, sex ratio, and spatial repartition: implications for population dynamics of Sclerocaryabirrea [(A. Rich) Hochst] populations in Benin, West Africa. Agroforestry Systems 82:25-35.

Grant, M.C., and J.B. Mitton. 1979. Elevational gradients in adult sex ratios and sexual differentiation in vegetative growth rates of PopulustremuloidesMichx. Evolution 33:914-918.

Guitan, J., 1995. Sex-ratio, reproductive investment and flowering phenology in dioeciousRhamnusalaternus(Rhamnaceae) Nordic Journal of Botany 15:139-143.

Hancock, J.F., and R.S. Bringhurst. 1980. Sexual dimorphism in the strawberry Fragariachiloensis. Evolution 34:762-768.

Herrera, C.M. 1984. The annual cycle of Osyris quadripartite, Ahemiparasiticdioecious shrub of Mediterranean scrublands. Journal of Ecology 72:1065-1078.

Hoffman, A.J., and M.C. Alliende. 1984. Interactions in the patterns of vegetative growth and reproduction in woody dioecious plants. Oecologia 61:109-114.

Hollander, J.L., S.B. Vander Wall, and J.G. Baguley. 2010. Evolution of seed dispersal in North American Ephedra. Ecology 24:333-345.

Houle, G., and M. Duchesne. 1999. The spatial pattern of a Juniperuscommunis var. depressa population on a continental dune in subarctic Quebec, Canada. Canadian Journal of Forest Research 29:446-450.

Hughes, F.M.R., N. Barsoum, K.S. Richards, M. Winfield, and A. Hayes, A. 2000. The response of male and female black poplar (Populusnigra L. subspecies betulifolia (Pursh) W. Wettst,) cuttings to different water table depths and sediment types: implications for flow management and river corridor biodiversity. Hydrological Processes 14:3075-3098.

Hughes, F.M.R., M. Johansson, S.J. Xiong, E. Carlborg, D. Hawkins, M. Svedmark, A. Hayes, A.Goodall, K.S. Richards and C. Nilsson. 2010. The influence of hydrological regimes on sex ratios and spatial segregation of the sexes in two dioecious riparian shrub species in northern Sweden. Plant Ecology 208:77-92.

Karst, A.L., J.A. Antos, and G.A. Allen. 2008. Sex ratio, flowering and fruit set in dioeciousRubuschamaemorus (Rosaceae) in Labrador. Botany 86:204-212.

Korpelainen, H. 1991. Sex-ratio variation and spatial segregation of the sexes in population of Rumexacetosa and R. acetosella (Polygonaceae). Plant Systematics and Evolution 174:183-195.

Lokker, C., D. Susko, L. Lovett-Doust, and J. Lovett-Doust. 1994. Population genetic-structure of Vallisneriaamericana, a dioecious clonal macrophyte. American Journal of Botany 81:1004-1012.

Lovett-Doust, J., and P.B. Cavers. 1982. Sex and gender dynamics in jack-in-the-pulpit, Arisaematriphyllum (Araceae). Ecology 63:797-807.

Lovett-Doust, J., G. O’Brien, and L. Lovett-Doust. 1987. Effect of density on secondary sex characteristics and sex ratio in Silenealba (Caryophyllaceae). American Journal of Botany 74: 40-46.

Lovett-Doust, J., and G. LaPorte. 1991. Population sex-ratios, population mixtures and fecundity in a clonal dioeciousmacrophyte, Vallisneriaamericana. Journal of Ecology 79:477-489.

Marion, C., and G. Houle. 1996. No differential consequences of reproduction according to sex in Juniperuscommunisvar.depressa (Cupressaceae). American Journal of Botany 83:480-488.

Marques, A.R., G.W. Fernandes, I.A. Reis, and R.M. Assuncao. 2002. Distribution of adult male and female Baccharisconcinna (Asteraceae) in the rupestrian fields of Serra doCipo, Brazil. Plant Biology 4:94-103.

Meagher, T.R. 1980. Population biology of Chamaeliriumluteum, a dioecious lily. I. Spatial distributions of males and females. Evolution 24:1127-1137.

Melampy, M.N., and H.F. Howe. 1977. Sex ratio in the tropical tree Triplarisamericana (Polygonaceae). Evolution 31: 867-872.

Melampy, M.N. 1981. Sex-linked niche differentiation in two species of Thalictrum. American Midland Naturalist 106:325-334.

Mercer, C.A., and S.M. Eppley. 2010. Inter-sexual competition in a dioecious grass. Oecologia 164:657-664.

Mizuki, I., K. Ishida, N. Tani, and Y. Tsumura. 2010. Fine-scale spatial structure of genets and sexes in the dioecious plant Dioscorea japonica, which disperses by both bulbils and seeds. Evolutionary Ecology 24:1399-1415.

Morellato, L.P.C. 2004.Phenology, sex ratio, and spatial distribution among dioecious species of Trichilia (Meliaceae). Plant Biology 6:491-497.

Molina, R.T., A.M. Rodriguez, I.S. Palacios, and F.G. Lopez. 1996. Pollen production in anemophilous trees. Grana 35:38-46.

Murren, C.J. 2003. Spatial and demographic population genetic structure in Catasetumviridiflavum across a human-disturbed habitat. Journal of Evolutionary Biology 16:333-342.

Museum of New Zealand. 2012. Collections Online.

Nanami, S., H. Kawaguchi, and T. Yamakura. 2005. Sex ratio and gender-dependent neighboring effects in Podocarpusnagi, a dioecious tree. Plant Ecology 177:209-222.

Ngulube, M.R., J.B. Hall, and J.A. Maghembe. 1998. Reproductive ecology of Uapacakirkiana (Euphorbiaceae) in Malawi, southern Africa. Journal of Tropical Ecology 14:743-760.

Nicotra, A.B. Sex ratio variation and spatial distribution of Siparunagrandiflora, a tropical dioecious shrub. Oecologia115:102-113.

Niklas, K.J., and S.L. Buchmann. 1984. Aerodynamics of wind pollination in Simmondsiachinensis (Link) Schneider. American Journal of Botany 72:530-539.

Nunez, C.I., M.A. Nunez, and T. Kitzberger. 2008. Sex-related spatial segregation and growth in a dioecious conifer along environmental gradients in northwestern Patagonia. Ecoscience 15:73-80.

Ortiz, P.L., M. Arista, and S. Talavera. 2002. Sex ratio and reproductive effort in the dioeciousJuniperuscommunissubsp. alpina (Suter) Celak. (Cupressaceae) along an altitudinal gradient. Annals of Botany 89:205-211.

Quinn, J.A. 1991. Evolution of dioecy in Buchloedactyloides (Gramineae) – Tests for sex-specific vegetative characters, ecological differences, and sexual niche-partitioning. American Journal of Botany 78:481-488.

Rocheleau, A.F., and G. Houle. 2001. Different cost of reproduction for the males and females of the rare dioecious shrub Coremaconradii (Empetraceae). American Journal of Botany 88:659-666.

Rogers, S.R. and S.M. Eppley. 2012. Testing the interaction between inter-sexual competition and phosphorus availability in a dioecious grass. Botany 90:704-710.

Rowland, D.L., and N.C. Johnson, N.C. 2001. Sexual demographics of riparian populations of Populusdeltoides: Can mortality be predicted from a change in reproductive status? Canadian Journal of Botany 79:702-710.

Sanchez-Vilas, J., and R. Retuerto. 2009. Sex-specific physiological, allocation and growth responses to water availability in the subdioecious plant Honckenyapeploides. Plant Biology 11:243-254.

Sanderson, S.C. 2011. Natural polyploidization within tetraploid and hexaploid population of the desert shrub Atriplxconfertifolia. Western North American Naturalist 71:141-150.

Schmidt, J.P. 2008. Sex ratio and spatial pattern of males and females in the dioecioussandhill shrub, Ceratiolaericoidesericoides (Empetraceae) Michx. Plant Ecology 196:281-288.

Shea, M.M., P.M. Dixon, and R.R. Sharitz. 1993. Size differences, sex-ratio, and spatial-distribution of male and female water tupelo, Nyssa aquatic (Nyssaceae). American Journal of Botany 80:26-30.

Steven, J.C., and D.M. Waller. 2007. Isolation affects reproductive success in low-density but not high-density populations of two wind-pollinated Thalictrum species. Plant Ecology 190:131-141.

Taylor, D.R., M.J. Saur, and E. Adams. 1999. Pollen performance and sex-ratio evolution in a dioecious plant. Evolution 53:1028-1036.

Tollsten,L., and J.T. Knudsen. 1992. Floral scent in dioeciousSalix (Salicaceae)- A cue determining the pollination system? Plant Systematics and Evolution 182:229-237.

Totland, O., and M. Sottocornola. 2001. Pollen limitation of reproductive success in two sympatric alpine willows (Salicaceae) with contrasting pollination strategies. American Journal of Botany 88:1011-1015.

Ueno, N., R. Suyama, and K. Seiwa. 2007. What makes the sex ratio female-biased in the dioecious tree Salix sachalinensis? Journal of Ecology 95:951-959.

Vasiliauskas, S.A., and LW.Aarssen. 1992. Sex-ratio and neighbor effects in monospecificstands of Juniperusvirginiana. Ecology 73:622-632.

Wade, K.M., R.A. Armstrong, and S.R.J. Woodell. 1981. Experimental studies on the distribution of the sexes of MercurialisperennisL. I. Field observations and canopy removal experiments. New Phytologist 87:431-438.

Waser, N.M. 1984. Sex ratio variation in population of a dioecious desert perennial, Simmondsiachinensis.Oikos. 42:343-348.

Wheelwright, N.R., and A. Bruneau. 1992. Population sex-ratios and spatial-distribution of Ocoteatenera (Lauraceae) trees in a tropical forest. Journal of Ecology 80:425-432.

Williams, S.L. 1995. Surfgrass (Phyllospadixtorreyi) reproduction –reproductive phenology, resource-allocation, and male rarity. Ecology 76:1953-1970.

Zhang, C.Y., X.H. Zhao, L.S. Gao, and K. von Gadow. 2010. Gender-related distributions of Fraxinusmandshurica in secondary and old-growth forests. ActaOecologica 36:55-62.

Supplementary material – Van DrunenDorken1

Appendix 4 – Parameter values and models for fitting fitness via female and male function vs. distance to the nearest mates (i.e. the lines presented in Figure 2)

Female / Male
A / B / C / D / a / b / c
10:1 Pollen-Ovule Ratio
Isotropic
Narrow / 1.080±0.001 / 0.038±0.015 / 15.947±0.023 / 4.408±0.020 / 0.005±0.001 / 0.752±0.015 / -1.987±0.005
Broad / 1.002±0.000 / 0.591±0.014 / 42.781±0.424 / 6.258±0.113 / 0.067±0.003 / 0.644±0.009 / -3.165±0.016
Anisotropic
Narrow / 1.020±0.000 / 0.086±0.001 / 28.215±0.049 / 4.100±0.034 / 0.000 ±0.000 / 0.731±0.079 / -2.243±0.004
Broad* / 0 / 1.000±0.000 / - / - / -0.009±0.013 / 0.598±0.011 / -3.157±0.040
100:1 Pollen-Ovule Ratio
Isotropic
Narrow / 1.008 ± 0.000 / 0.141 ± 0.003 / 35.472 ± 0.051 / 3.273 ± 0.031 / 0.005 ± 0.000 / 0.819 ± 0.010 / -2.069 ± 0.004
Broad* / 0 / 1.000±0.000 / - / - / 0.073 ± 0.002 / 0.612 ± 0.010 / -3.127 ± 0.013
Anisotropic
Narrow† / 1.003 ± 0.000 / 50.220 ± 0.082 / -2.449 ± 0.642 / - / 0.000 ± 0.000 / 0.801 ± 0.011 / -2.257 ± 0.005
Broad* / 0 / 1.000±0.000 / - / - / 0.009 ± 0.008 / 0.579 ± 0.007 / -3.869 ± 0.023

An asymptotic exponential function was fitted to all male fitness curves, while model fitting for female fitness varied based on AIC scores. A four parameter logistic function was fitted to most female fitness curves (exceptions are noted below the table). A list of models and parameter explanations follow the table. Parameter values (± SE) were averaged over 10 simulation runs.