1 Appendices 2 #Figure 1 approximately at page 5 # 3 #Figure 2 approximately at page 6 # 4 #Figure 3 approximately at page 9 # 5 #Figure 4 approximately at page 9 # 6 #Figure 5 approximately at page 9 # 7 #Figure 6 approximately at page 9 # 8 #Table 1 approximately at page 9# 9 #Figure 7 approximately at page 10 # 10 #Figure 8a approximately at page 11 # 11 #Figure 8b approximately at page 11 # 12 #Figure 8c approximately at page 11 # 1 13 Tables 14 Table 1 Spatial correlation coefficient for each pair of ecosystem services in Yanhe 15 basin a Soil Soil Soil Water Water conservation conservation conservation retention retention vs vs vs vs vs Water Water Crop Water Crop retention yield production yield production 1980 0.39 -0.15 -0.20 0.07 -0.14 -0.28 2000 0.39 -0.15 -0.20 0.07 -0.15 -0.28 2008 0.34 -0.09 -0.13 0.37 -0.06 -0.13 2000-1980 0.04 -0.76 No data 0.12 No data No data Year/period 2 Water Yield vs Crop production 16 2008-2000 0.08 -0.67 No data 0.32 No data No data 2008-1980 0.09 -0.68 No data 0.32 No data No data a p<0.01 for all of the correlation coefficients between ecosystem services. 17 3 18 Figures 19 Figure 1 Spatial distribution of land use (1980, 2000, and 2008) in the Yanhe basin 20 4 21 Figure 2 Spatial distribution of the sub-basins in the Yanhe basin 22 23 In terms of the strahler classification, the Yanhe River is divided into three stream levels, 24 with 3 being the highest level; thereby, the Yanhe basin is also divided into 35 sub-basins. 25 The letters from A to Q signify the trend from upstream to downstream. In comparison 26 table, for “2, 1-B”, “2” stands for the second sub-basin located in the northwestern part of 27 the Yanhe basin; “1-B” stands for the second (“B”) stream in the first (“1”) stream level. 5 28 Figure 3 Spatial distribution of estimated soil conservation (1980, 2000, and 2008) 29 in the Yanhe basin 30 6 31 Figure 4 Spatial distribution of estimated water retention (1980, 2000, and 2008) 32 in the Yanhe basin 7 33 8 34 Figure 5 Spatial distribution of estimated water yield (1980, 2000, and 2008) in 35 the Yanhe basin 36 9 37 Figure 6 Spatial distribution of estimated crop production (1980, 2000, and 2008) in 38 the Yanhe basin 39 10 40 Figure 7 The closeness relationship between land use and ecosystem services by 41 correspondence analysis (CA) 42 43 In the CA, two sets of points are marked as two types of symbols and represent land use 44 type in a given year and ecosystem services, separately. The distance between the points in 45 one set is a measure of similarity between them. The distances between the points in 11 46 different sets are measures of the tightness of linkage between them. Plot abbreviations: 47 80_fo, forest land in 1980; 00_fo, forest land in 2000; 08_fo, forest land in 2008; 80_sh, 48 shrub land in 1980; 00_sh, shrub land in 2000; 08_sh, shrub land in 2008; 80_gr, grass land in 49 1980; 00_ gr, grass land in 2000; 08_ gr, grass land in 2008; 80_re, residential land in 1980; 50 00_re, residential land in 2000; 08_re, residential land in 2008; 80_un, unused land in 1980; 51 00_un, unused land in 2000; 08_un, unused land in 2008; 80_fa, farm land in 1980; 00_fa, 52 farm land in 2000; 08_fa, farm land in 2008; SC, soil conservation; WR, water retention; WY, 53 water yield. 54 Figure 8a The closeness relationship between sub-basins and ecosystem services by 55 correspondence analysis (CA) in 1980 56 12 57 Figure 8b The closeness relationship between sub-basins and ecosystem services by 58 correspondence analysis (CA) in 2000 59 60 Figure 8c The closeness relationship between sub-basins and ecosystem services by 61 correspondence analysis (CA) in 2008 13 62 63 In the CA, two sets of points are marked as two types of symbols and represent sub-basins 64 and ecosystem services, separately, in a given year. Plot abbreviations: WR, water retention; 65 WY, water yield; C_A, the average crop yield for farm land pixels in a sub-basin; C_S, the sum 66 of crop yield for farm land pixels in a sub-basin. The illustrations of the serial number for the 67 sub-basins in the plot are as follow: the letters from A to Q signify the trend from upstream 68 to downstream. For example, “1-B”, “1” represents that the stream within the sub-basin is 69 classified as the first (lowest) stream level, “B” represents that the stream within the sub- 70 basin is the second stream in the first stream level and is located in a relatively upstream 71 area 72 14