1 Supporting Information 2 3 Characterizing differences in precipitation regimes of extreme wet and dry years: Implications 4 for climate change experiments 5 6 Alan K. Knapp1, David L. Hoover1, Kevin R. Wilcox1, Meghan L. Avolio2, Sally E. Koerner1, 7 Kimberly J. La Pierre3, Michael E. Loik4, Yiqi Luo5, Osvaldo E. Sala6, and Melinda D. Smith1 8 9 10 1 Colorado State University; 2University of Utah; 3University of California, Berkeley; 4University of California, Santa Cruz; 5University of Oklahoma; 6Arizona State University 11 12 13 Corresponding author: 14 Alan K. Knapp 15 Graduate Degree Program in Ecology 16 Department of Biology 17 Colorado State University 18 Ft. Collins, CO 80526 19 Ph: 970 491-7010 20 Fax: 970-491-0649 21 aknapp@colostate.edu 22 23 1 24 Table S1. Model results from permutational multivariate analysis of variance (based on 999 25 permutations) testing for differences among extreme dry (annual precipitation in the 10th 26 percentile), extreme wet (annual precipitation in the 90th percentile), and average (between 45th 27 and 55th percentiles) years using normalized precipitation attributes from 12 weather stations in 28 each of 12 ecoregions. Multi-comparisons Main models Ecoregion df Pseudo- Average vs Average vs Dry Wet P t P t P Dry vs Wet t P F Savanna 2 117.39 <0.01 8.01 <0.01 8.52 <0.01 14.28 <0.01 Tropical/subtropical 2 desert 188.30 <0.01 9.72 <0.01 10.79 <0.01 17.99 <0.01 Mediterranean 2 115.76 <0.01 7.93 <0.01 8.02 <0.01 14.30 <0.01 Tropical/subtropical 2 steppe 166.51 <0.01 9.83 <0.01 9.79 <0.01 17.79 <0.01 Subtropical 2 140.46 <0.01 8.85 <0.01 8.68 <0.01 17.82 <0.01 Prairie 2 160.5 <0.01 9.45 <0.01 8.33 <0.01 17.20 <0.01 Marine 2 194.67 <0.01 9.04 <0.01 11.93 <0.01 18.58 <0.01 Subarctic 2 155.47 <0.01 8.45 <0.01 9.27 <0.01 17.95 <0.01 Warm continental 2 85.73 <0.01 6.52 <0.01 6.63 <0.01 12.78 <0.01 Temperate desert 2 152.06 <0.01 9.26 <0.01 8.40 <0.01 16.97 <0.01 Temperate steppe 2 127.87 <0.01 8.86 <0.01 8.38 <0.01 15.54 <0.01 Hot continental 2 126.68 <0.01 8.66 <0.01 7.80 <0.01 15.09 <0.01 29 30 31 32 2 30 Hot Continental Marine Mediterranean NS NS 20 10 0 10 20 Contribution to Divergence (%) 30 30 Prairie Savanna Subarctic NS 20 10 0 10 20 30 30 Subtropical Temperate Desert Temperate Steppe Tropical / Subtropical Desert Tropical / Subtropical Steppe Warm Continental 20 10 0 10 20 30 30 NS NS 20 10 0 10 20 # Ex tre m e Ev Ev ent en s tS iz e # # Ex Ev tre ent s m e C D D C D # D Ex tre m e Ev Ev ent en s tS iz e # # E Ex ve tre nt s m e C D D C D # D Ex tre m e Ev Ev ent en s tS iz e # # Ex Ev tre ent s m e C D D C D D 30 Precipitation Regime Attribute 33 34 Figure S1. Percentage contribution of five precipitation regime attributes to divergence between 35 extreme wet and average years (blue panel) and extreme dry and average years (white panel) for 36 12 different terrestrial ecoregions. Precipitation regime attributes: number of extreme rainfall 37 events (99th percentile; # Extreme Events), average event size (Event Size), the number of 38 rainfall events (Event #), number of extreme (99th percentile) dry periods (# Extreme CDD), and 39 average length of dry period (CDD). Data were normalized independently for each station before 40 running SIMPER analysis. NS = values for these attributes not significantly different based on 41 mixed model ANOVAs. 3 42 Table S2. Results from one-way mixed model ANOVA for each precipitation attribute for the 43 each of the 12 ecoregion divisions. In each model, site was a random variable and the effect 44 tested was type of year (Wet, Average, Dry). Results are presented as in Table 1, and show F- 45 value and p-values for each year type x attribute ANOVA as well as mean values with standard 46 errors (SE). Precipitation regime attributes: the number of extreme (99th percentile) rainfall 47 events (# Extreme Events), average event size (Event Size), the number of rainfall events (Event 48 #), number of extreme (99th percentile) dry periods (Extreme CDD), and average length of dry 49 period (CDD). Ecoregion HOT CONTINENTAL MARINE MEDITERRANEAN PRAIRIE SAVANNA SUBARCTIC SUBTROPICAL Precipitation Attribute # Extreme Events Event # Event Size Extreme CDD CDD # Extreme Events Event # Event Size Extreme CDD CDD # Extreme Events Event # Event Size Extreme CDD CDD # Extreme Events Event # Event Size Extreme CDD CDD # Extreme Events Event # Event Size Extreme CDD CDD # Extreme Events Event # Event Size Extreme CDD CDD # Extreme Events 4 F-Value 201.8 106.6 178.7 29.8 76.1 185.5 371.1 169.0 68.3 54.1 101.1 159.7 176.1 17.1 47.8 170.1 174.0 116.9 57.5 66.2 180.8 169.7 130.2 11.0 53.7 220.4 184.8 44.7 53.3 90.3 159.3 p-value <0.0001 <0.0001 <0.0001 <0.0001 <0.0001 <0.0001 <0.0001 <0.0001 <0.0001 <0.0001 <0.0001 <0.0001 <0.0001 <0.0001 <0.0001 <0.0001 <0.0001 <0.0001 <0.0001 <0.0001 <0.0001 <0.0001 <0.0001 <0.0001 <0.0001 <0.0001 <0.0001 <0.0001 <0.0001 <0.0001 <0.0001 Wet Mean 5.2 134.3 9.6 1.9 3.5 6.0 192.7 9.4 1.8 3.3 4.2 91.7 12.7 1.8 8.2 4.0 95.1 11.1 1.5 5.6 4.1 73.3 20.9 1.8 9.4 6.6 156.0 4.8 2.1 3.2 4.8 SE 0.2 6.1 0.4 0.1 0.2 0.2 8.2 1.0 0.2 0.2 0.6 9.4 1.1 0.2 1.0 0.2 7.0 0.6 0.2 0.7 0.5 6.0 0.8 0.2 0.9 0.3 8.3 0.7 0.2 0.2 0.3 Average Mean SE 3.0 0.3 124.4 6.1 7.9 0.4 2.3 0.2 3.7 0.2 3.1 0.2 163.3 8.2 8.0 1.0 3.2 0.2 3.8 0.2 1.8 0.6 76.2 9.5 9.7 1.1 1.8 0.2 9.2 1.0 1.9 0.3 80.0 7.1 8.9 0.6 2.0 0.2 6.5 0.7 1.6 0.5 58.6 6.0 14.6 0.8 2.0 0.2 11.0 0.9 3.9 0.3 136.1 8.3 4.3 0.7 3.2 0.2 3.7 0.2 2.2 0.3 Dry Mean 1.4 104.7 6.8 3.5 4.3 1.4 132.5 6.4 4.1 4.7 0.5 59.1 7.1 2.6 11.6 0.7 61.5 7.1 3.3 8.9 0.4 41.3 10.8 2.4 14.2 1.7 112.7 3.6 4.4 4.3 0.9 SE 0.2 6.1 0.4 0.2 0.2 0.2 8.2 1.0 0.2 0.2 0.6 9.5 1.1 0.2 1.0 0.3 7.1 0.6 0.2 0.7 0.5 6.0 0.8 0.2 0.9 0.3 8.3 0.7 0.2 0.2 0.3 TEMPERATE DESERT TEMPERATE STEPPE TROPICAL/SUBTROPICAL DESERT TROPICAL/SUBTROPICAL STEPPE WARM CONTINENTAL Event # Event Size Extreme CDD CDD # Extreme Events Event # Event Size Extreme CDD CDD # Extreme Events Event # Event Size Extreme CDD CDD 124.5 147.9 42.0 86.0 94.2 222.4 38.8 66.5 32.4 236.1 112.6 141.7 30.8 68.0 <0.0001 <0.0001 <0.0001 <0.0001 <0.0001 <0.0001 <0.0001 <0.0001 <0.0001 <0.0001 <0.0001 <0.0001 <0.0001 <0.0001 112.5 13.8 1.6 4.6 3.0 90.5 5.2 1.4 6.2 4.4 86.8 9.0 2.0 6.0 3.3 0.8 0.1 0.3 0.2 5.0 0.3 0.2 1.5 0.2 6.1 0.5 0.2 0.5 97.5 11.2 2.3 5.2 1.5 69.8 4.5 2.1 7.9 1.9 75.5 7.1 2.4 6.6 3.3 0.8 0.1 0.3 0.2 5.1 0.4 0.2 1.5 0.2 6.1 0.5 0.2 0.5 77.1 8.8 3.4 6.3 0.5 48.7 3.7 3.3 12.7 0.6 61.0 5.5 3.3 8.0 3.4 0.8 0.2 0.3 0.3 5.1 0.4 0.2 1.5 0.2 6.1 0.5 0.2 0.5 # Extreme Events Event # Event Size Extreme CDD CDD 260.1 259.5 195.8 56.1 99.9 <0.0001 <0.0001 <0.0001 <0.0001 <0.0001 2.8 40.7 13.1 0.9 14.2 0.1 2.2 0.9 0.1 2.0 0.6 27.0 8.1 1.3 19.5 0.1 2.2 0.9 0.1 2.0 0.0 16.0 5.2 2.0 31.5 0.1 2.2 0.9 0.1 2.0 # Extreme Events Event # Event Size Extreme CDD CDD # Extreme Events Event # Event Size Extreme CDD CDD 224.0 214.5 121.2 44.3 81.7 174.9 43.4 89.4 15.9 19.6 <0.0001 <0.0001 <0.0001 <0.0001 <0.0001 <0.0001 <0.0001 <0.0001 <0.0001 <0.0001 4.2 87.6 9.2 1.4 6.7 5.1 119.0 9.7 2.3 3.8 0.2 9.4 0.7 0.2 1.1 0.2 3.7 0.6 0.2 0.1 1.5 71.1 6.9 2.1 8.4 2.7 111.2 7.7 2.8 4.0 0.2 9.4 0.7 0.2 1.1 0.2 3.8 0.6 0.2 0.1 0.4 51.3 5.2 3.0 11.8 1.2 95.5 6.2 3.6 4.4 0.2 9.4 0.7 0.2 1.1 0.2 3.8 0.6 0.2 0.1 50 51 52 53 54 55 56 57 58 59 5 60 Table S3. Summary of results of simple linear regressions relating annual precipitation vs. year 61 for each of the 144 sites with precipitation datasets spanning 100 years (12 from each of the 12 62 ecoregion divisions). Shown are the number of sites with no statistically significant temporal 63 trends in annual precipitation (69% overall), the number of sites with significant relationships 64 (most have very low r2 values), the number of sites with significant relationships and r2 values 65 >0.10, and the number of sites with negative relationships (4% overall). 66 Ecoregion (12 sites in each) HOT CONTINENTAL MARINE MEDITERRANEAN PRAIRIE SAVANNA SUBARCTIC SUBTROPICAL TEMPERATE DESERT TEMPERATE STEPPE TROPICAL/SUBTROPICAL DESERT TROPICAL/SUBTROPICAL STEPPE WARM CONTINENTAL ALL COMBINED (144 total) No temporal relationship 10 6 8 9 11 4 10 7 9 10 8 7 99 (69%) 67 68 69 70 71 72 73 6 Significant relationships (p<0.05) 2 6 4 3 1 8 2 5 3 2 4 5 45 (31%) Significant relationships (p<0.05 and r2 > 0.10) 0 1 0 0 0 6 0 3 1 0 0 3 14 (9.7%) Negative slopes (p<0.05) 0 0 1 1 1 0 0 0 2 1 0 0 6 (4.2%) 40 Extreme Wet Years Extreme Dry Years Frequency 2 r = 0.195 p < 0.001 30 20 10 0 1900 1920 1940 1960 1980 2000 1920 1940 1960 1980 2000 Decade 74 Dry Years 250 Wet Years Frequency 2 r = 0.549 p = 0.014 200 150 100 50 0 1900 75 76 77 78 79 80 81 82 83 84 1920 1940 1960 1980 2000 1900 1920 1940 1960 1980 2000 Decade Figure S2. Top: Temporal trends in the occurrence of extreme wet and dry years by decade for the 12 ecoregions (each point is the sum of the number of statistically defined extreme years that occurred in each decade for 12 sites representing each ecoregion). Bottom: Mean values for all 12 ecoregions (144 sites). At the ecoregion level, there were no significant trends in dry years, but 5 ecoregions showed statistically significant trends for the frequency of extreme wet years increasing in more recent decades. These were: Marine: p=0.01; r2=0.58; slope = 0.17; Mediterranean : p=0.05, r2=0.39; slope=0.12; Subarctic: p=0.001; r2=0.75; slope = 0.15; Temperate Desert: p=0.02; r2=0.49; slope=0.2: Warm Continental: p=0.04; r2=0.42; slope =0.12. 7