1 Appendix 1 2 Literatures used for compiling butterfly richness data 3 Bai G, Xu Z, Guo C, et al. (2007) Butterfly species in Heili River Nature Reserve. Sichuan Journal of 4 5 6 7 8 Zoology, 26: 595-596. Bai S, Yan C. (2007) Butterfly species in Daqinggou Nature Reserve. Forest Pests and Diseases, 26: 43-44. Chen X. (1997) Species list of butterfly in Nanling National Nature Reserve. Natural Enemies of Insects, 19: 26-40. 9 Chen Y, Li Y, Dou T, Wang C. (2006) Investigation on butterfly resource in Shunhuangshan Mountain 10 National Forest Park of Dong’an County in Hunan. Journal of Hunan Agricultural University 11 (Natural Science), 32: 398-401. 12 13 14 15 16 17 18 19 20 21 22 Ding D. (1996) Faunistic Structure and vertical distribution of butterflies in Jiangxi Wuyi Mountain Nature Reserve. Acta Entomologica Sinica, 39: 393-407. Fan J, Han D, Fang J, Zhang S. (2008) Study on butterfly fauna in Yaoluoping Anhui province. Journal of Biology, 25: 13-16. Fang L, Zhang Y. (2010) Studies on the butterfly fauna in Liupanshan Nature Reserve of Ningxia, China. Acta Zootaxonomica Sinica, 35: 220-226. Gu Y, Jiang S, Zhi L. (2008) The newest report on butterfly resources of Tiantangzhai in Luotian County of Hubei. Journal of Anhui Agricultural Science, 36: 3294-3295. Guo R, Li J. (2010) Vertical distribution of butterflies in Foping National Nature Reserve. Shaanxi Forest Science and Technology, 3: 28-30. Hong F, Jiang G, Zhou S. (2004) A composition analysis of the butterfly fauna of Shiwandashan M 1 23 24 25 26 27 28 29 30 31 32 33 34 35 ountain in Guangxi. Journal of Nanjing Normal University (Natural Science), 27: 87-90. Hu Y. (2001) Report on butterfly species in Longmen Mountain, Sichuan. Journal of Sichuan College of Education, 17: 108-111. Huang B, Yin H, Zhang S. (2003) Studies on resource of butterflies in Hubei Ying Mountain. Journal of Xinyang Normal University (Natural Science Edition), 16: 58-61. Jiang D, Li G, Luo Y, et al. (2004) species list of butterflies in Maoer Mountain Nature Reserve. Guangxi Plant Protection, Guangxi. 17: 3-4. Jiang S, Zhang L. (2000) Composition and fauna analysis of butterflies in the Ziwu Mountains of east Gansu Province. Journal of Lanzhou University (Natural Science), 36: 112-117. Jiang Y, Li J, Liu D. (2002) Fauna of butterflies of the Mudanfeng National Nature Reserve. Territory and Natural Resource Study, 3: 65-67. Li C, Dong F. (2004) The distribution of Lepidoptera species in Xishui Nature Reserve. Guizhou Forestry Science and Technology, 32: 8-13. 36 Li C, Huang C, Yu W, et al. (2007) Study on the Diversity and Fauna of Butterflies in Yuntai Low 37 Mountain, Jiangsu Province. Journal of Nanjing Forestry University (Natural Sciences Edition), 31: 38 122-124. 39 40 41 42 43 44 Li L. (2005) Inventory on biodiversity in Weichang Hongsongwa National Nature Reserve. Science Press, Beijing. Li P. (2002) Report of scientific research in Tianbaoyan Nature Reserve. Xiamen University Press, Xiamen. Li P. (2003) Report of scientific research in Daiyun Mountain Nature Reserve. Xiamen University Press, Xiamen. 2 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 Li P. (2003) Report of scientific research in Daiyun Mountain Nature Reserve. Xiamen University Press, Xiamen. Li P. (2003) Report of scientific research in Mangdang Mountain Nature Reserve. Xiamen University Press, Xiamen. Li S, Hou J. (2001) Composition of butterflies and its evolution in the Jinfo Mountain Nature Reserve area. Journal of Southwest Agricultural University (Natural Science), 23: 22-25. Li S, Hou J. (2004) Studies on butterfly fauna in the Simian Mountains in Chongqing Municipality. Journal of Southwest Agricultural University (Natural Science), 26: 405-408. Li S. (2003) Vertical distribution and diversity of butterflies in the Dabashan Mountain Nature Reserve, Chongqing. Entomological Knowledge, 40: 63-67. Li X, Cheng S, Xiong Z, et al. (2002) Butterfly species in Maolan Nature Reserve. Guizhou Forestry Science and Technology, 30: 6-17. Li X, Zan Y, Wang Y. (1992) Research of butterfly resource in Shennongjia Nature Reserve. Henan Science, 10: 376-383. Liu J, Jiang G. (2003) Faunal composition and vertical distribution of butterflies in Yuanbao Mountain Nature Reserve of Guangxi, China. Sichuan Journal of Zoology, 22: 162-165. Liu W, Hu S. (1997) The list of butterflies in Emei, Sichuan. Journal of Southwest Agricultural Univeristy, 19: 472-474. Lu D, Wang J, Huang Y. (2000) Record of butterflies in the Xinyang region of Henan. Journal of Xinyang Teacher’s College, 13: 115-121. 65 Ma R, Ma X, Yang Z, et al. (2012) Community characteristics of butterflies in the Gansu Taitong- 66 Kongtongshan National Nature Reserve. Chinese Journal of Applied Entomology, 49: 1010-1024. 3 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 Mao B, Yang Z, Bai X, et al. (2009) The Fauna and Distribution Pattern of Butterflies in Cangshan Erhai National Nature Reserve. Journal of Dali University, 8: 49-58. Song C. (1994) Report of scientific research in Funiu Mountain Nature Reserve. China forestry publishing house, Beijing. Song C. (1996) Report of scientific research in Dongzhai Bird Nature Reserve. China forestry publishing house, Beijing. Song C. (1996) Report of scientific research in Taihang Mountain Nature Reserve. China forestry publishing house, Beijing. Wang C, Liu S, Meng Q, et al. (2007) Diversity of butterfly in Changbai Mountain Nature Reserve. Journal of Beihua University (Natural Science), 8: 434-438. Wang H, Gao L. (1994) The butterflies in the Nature Reserve of Baishuijiang, Gansu. Journal of Lanzhou University (Natural Science), 30: 87-95. Wang M, Huang G, Fan X, et al. (2003) Species diversity of butterflies in Shim entai Nature Reserve, Guangdong. Biodiversity Science, 11: 441-453. Wang S, Bao F, Bao C, Mei B. (2010) The community diversity of butterflies in Jiushan National Forest Park, Anhui. Chinese Bulletin of Entomology, 47: 183-189. Wang S, Li Y, Bao F. (2001) Studies on resource and fauna of butterflies in Huangfu Mountain. Journal of Biology, 18: 24-26. Wang Y, Mao X, Wong G, Wu H. (2009) Butterfly diversity and evaluation of forest environmental health in Wuyanling of Zhejiang. Journal of Environmental Entomology, 31: 14-19. Wang Z, Wang Z, Ma X, et al. (1987) Species list of butterflies in Neixiang Baotianman Nature Reserve. Henan Science, 5: 40-50. 4 89 90 91 92 93 94 95 96 97 98 99 100 Wu H, Xu Y, Chen D, et al. (1997) Haiquan.On the insect fauna of Baishanzu Nature Reserve in Zhejiang. Journal of Zhejiang Forestry College, 14: 267-272. Wu Y, Zhao J, Cheng J. (2006) Report of scientific research in Maojingba Nature Reserve. Science Press, Beijing. Xie S, Li S, Shi F. (2004) Fauna and diversity of butterflies in Jiuzhaigou Nature Reserve of Sichuan. Journal of Southwest Agricultural University (Natural Science), 26: 584-588. Xie S, Li S. (2007) The fauna, vertical distribution and diversity of butterflies in Labahe Nature Reserve of China. Journal of Southwest University (Natural Science Edition), 29: 111-117. Xu M, Xu J. (2010) Fauna and vertical distribution of butterflies in Xiaokeng National Forest Park, Guangdong Province. Journal of Guangzhou University(Natural Science Edition), 9: 83-88. Xu Q, Jiang F. (2003) The faunal study on the butterflies of Huboliao Nature Reserve. Wuyi Science Journal, 19: 126-133 101 Xu Z, He J, Yang S, et al. (2009) Faunistic structure and vertical distribution of butterflies in Yunnan 102 Jade Dragon Snow Mountain Nature Conserve. Southwest China Journal of Agricultural Sciences, 103 22: 847-856. 104 105 106 107 108 109 110 Yang L, Tu C, Shi H, Gao Z. (2009) Butterfly diversity in An County, Sichuan Province. Jiangsu Agriculture Science, 5: 297-299. Yang M. (2001) Resource of butterflies in the Niutou River valley. Journal of Gansu Agricultural University, 36: 156-158. Yang S, Cheng A. (2000) Report on butterflies in Mountain Tianmu. Journal of Zhejiang Forestry College, 17: 255-261. Zha Y, Luo Q, Huang D, et al. (2004) Species and fauna of butterflies in Houhe National Nature 5 111 112 113 114 115 Reserve. Journal of Central China Normal University (Natural Science), 38: 215-219. Zhang Y, Liu Z, Yu G. (2007) Faunistic structure and vertical distribution of butterflies in Hupingshan National Nature Reserve, Hunan. Sichuan Journal of Zoology, 26: 892-897. Zhang Y, Yan Z, Liu Z. (2011) Faunal characteristics of butterflies in Xiaoxi National Nature Reserve of Hunan, China. Journal of Southwest University (Natural Science Edition), 33: 84-79. 116 Zhu L, Sun H. (2002) Faunistic structure and vertical distribution of butterflies in the Qingliang 117 Mountain Nature Conserve in Anhui Province. Journal of Nanjing Agricultural University, 25: 118 115-118. 119 120 121 122 Zhu L. (2005) Butterfly species in Anhui Tiantangzhai National Nature Reserve. Sichuan Journal of Zoology, 24: 47-49. Zhu X. (2004) Faunistic structure and vertical distribution of butterflies in Nanyue. Entomological Knowledge, 41: 64-69. 6 123 124 125 Appendix 2 Table S1 Correlation matrix for environmental variables (Pearson's r). Significant correlations are determined by Dutilleul (1993)’s method, and are written in bold. AREA ELER TEM PET PRE AET TEMsd PETcv ELER 0.422 TEM -0.157 0.012 PET -0.133 0.244 0.842 PRE -0.214 0.133 0.718 0.823 AET -0.212 0.135 0.895 0.895 0.894 TEMsd -0.022 -0.401 -0.682 -0.836 -0.606 -0.771 PETcv 0.033 -0.402 -0.765 -0.882 -0.692 -0.837 0.891 PREcv 0.197 -0.101 -0.661 -0.661 -0.764 -0.773 0.601 0.687 AETcv 0.152 -0.145 -0.734 -0.725 -0.787 -0.798 0.654 0.787 PREcv 0.822 126 AREA: area size of the geographic unit in km2, ELER: elevational range (m), TEM: mean annual 127 temperature, PET: potential evapotranspiration (mm/yr), PRE: mean annual precipitation (mm), AET: 128 actual evapotranspiration (mm/yr), standard deviation of TEM (TEMsd), monthly coefficient of 129 variation of precipitation (PREcv), actual evapotranpiration (AETcv), and potential evapotranspiration 130 (PETcv. AREA and ELER were ln-transformed). 131 132 133 134 7 135 Table S2 Moran’s I of butterfly richness (ln-transformed) and residual butterfly richness of multiple 136 ordinary least squares regression models on environmental, energy, seasonality and heterogeneity 137 variables from Table 2. The significance of Moran’s I from zero was determined by permutation (999 138 times). Moran’s I of residual butterfly richness of models Distance (km) Butterfly richness Environmental 139 0.010 Energy 0.132* Seasonality 0.023 Heterogeneity 196.6 0.235*** 0.270*** 462.9 0.079 -0.010 -0.063 -0.108 -0.022 630.7 0.051 -0.028 -0.021 -0.061 0.088 788.2 0.135** 0.026 0.036 -0.033 0.056 935.7 0.058 0.049 0.027 0.056 -0.023 1097.6 0.160** 0.018 0.029 0.000 0.086 1277.7 0.066 -0.041 -0.07 -0.063 0.053 1490.4 -0.163* 0.000 -0.072 0.045 -0.177* 1810.4 -0.228** -0.035 -0.021 0.012 -0.308*** 2841.5 -0.565*** 0.000 -0.06 -0.021 -0.202*** *: p < 0.05; **: p < 0.01; ***: p < 0.001. 140 8 141 Table S3 Summary of the Simultaneous autoregressive models (SAR) evaluating the effect of energy, 142 seasonality and heterogeneity on butterfly richness. The standardized regression coefficients are written 143 in brackets. Df. = degree of freedom corrected by Dutilleul (1993)’s method. Predictor set Variables in model R2adj F Df. P AIC Energy PET (3.137), PET2 (-2.609) 45.8 12.9 11.4 <0.001 75.1 Seasonality TEMsd(-0.494) 40.9 34.9 10.2 <0.001 73.1 Heterogeneity ELER(0.390) 31.5 17.4 16.3 <0.001 79.7 Environment PET(2.268), PET2(-1.771), TEMsd(-0.087), 53.1 14.9 12.6 <0.001 69.0 ELER(0.301) 144 Abbreviations of environment variables are the same as in Table S1. 9 145 Appendix 3 Ln-Transformed BR 6.5 a 6.0 5.5 5.0 4.5 4.0 R2 = 0.091 P = 0.151 3.5 100 Ln-Transformed BR 6.5 110 120 Longitude (o) 130 b 6.0 5.5 5.0 4.5 R2 = 0.373 P = 0.015 4.0 3.5 20 30 35 40 45 50 Latitude (o) 146 147 25 Fig. S1 10