Fig. S1: Monthly rainfall totals for the seven study sites from several different data sources (see Fig. S2).
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1 Campos et al. 217 Supporting Information Global Change Biology Total Monthly Rainfall Year Month Rainfall Total (mm) Fig. S1: Monthly rainfall totals for the seven study sites from several different data sources (see Fig. S2). 1
2 Campos et al. 217 Supporting Information Global Change Biology Data Sources for Composite Rainfall Set Year Month Data Source GPCC (corrected) GPCC (raw) Nearby weather station On site rain gauge TRMM (corrected) TRMM (raw) Fig. S2: Data sources for the monthly rainfall values shown in Fig. S1. 2
3 Campos et al. 217 Supporting Information Global Change Biology Berkeley Earth TAVG Anomalies Year Month Temperature Anomaly ( C) Fig. S3: Monthly average temperature anomalies for the seven study sites. Data from Berkeley Earth. 3
4 Campos et al. 217 Supporting Information Global Change Biology AICc for models of survival Coefficient estimates (β) for models of survival p c =.85 p c =.87 p c =.79 p c =.85 p c =.83 p c =.9 p c =.84 p c =.87 p c =.1 p c =.88 p c =.88 p c = (c) (d) AICc for models of fertility p c =.84 p c =. p c =.13 p c = Coefficient estimates (β) for models of fertility (e) Climate variable pairwise correlations Temperature ENSO Index IOD Index Pearson correlation coefficient Rainfall Temperature ENSO Index Fig. S4: AICc values for climate models of Verreaux s sifaka adult, juvenile, and infant survival rates and adult female fertility rates (c) for each climatic time window. The components of the plot are as described in Fig. 3a. Coefficient estimates for the climate variable term for survival models and fertility models (d) in each time window. (e) Within-site pairwise correlations between climate variables for time window for the Verreaux s sifaka study site. 4
5 Campos et al. 217 Supporting Information Global Change Biology AICc for models of survival Coefficient estimates (β) for models of survival p c =.9 p c =.89 p c =.51 p c =.8 p c =.83 p c =.88 p c =.77 p c =.84 p c =.3 p c =.84 p c =.8 p c = (c) (d) AICc for models of fertility p c =.8 p c =.87 p c =. p c = Coefficient estimates (β) for models of fertility (e) Climate variable pairwise correlations Temperature ENSO Index IOD Index Pearson correlation coefficient Rainfall Temperature ENSO Index Fig. S5: AICc values for climate models of white-faced capuchin adult, juvenile, and infant survival rates and adult female fertility rates (c) for each climatic time window. The components of the plot are as described in Fig. 3a. Coefficient estimates for the climate variable term for survival models and fertility models (d) in each time window. (e) Within-site pairwise correlations between climate variables for time window for the white-faced capuchin study site. 5
6 Campos et al. 217 Supporting Information Global Change Biology AICc for models of survival Coefficient estimates (β) for models of survival p c =. p c =.88 p c =.89 p c =.87 p c =.89 p c =.92 p c =.89 p c =.89 p c =.81 p c =.87 p c =.91 p c = (c) (d) AICc for models of fertility p c =.25 p c =.73 p c =.89 p c = Coefficient estimates (β) for models of fertility (e) Climate variable pairwise correlations Temperature ENSO Index IOD Index Pearson correlation coefficient Rainfall Temperature ENSO Index Fig. S: AICc values for climate models of northern muriqui adult, juvenile, and infant survival rates and adult female fertility rates (c) for each climatic time window. The components of the plot are as described in Fig. 3a. Coefficient estimates for the climate variable term for survival models and fertility models (d) in each time window. (e) Within-site pairwise correlations between climate variables for time window for the northern muriqui study site.
7 Campos et al. 217 Supporting Information Global Change Biology AICc for models of survival Coefficient estimates (β) for models of survival p c =.9 p c =.9 p c =.8 p c =.95 p c =.91 p c =.93 p c =.9 p c =.92 p c =.91 p c =.92 p c =.92 p c = (c) (d) AICc for models of fertility p c =.32 p c =.74 p c =.25 p c = Coefficient estimates (β) for models of fertility (e) Climate variable pairwise correlations Temperature ENSO Index IOD Index Pearson correlation coefficient Rainfall Temperature ENSO Index Fig. S7: AICc values for climate models of blue monkey adult, juvenile, and infant survival rates and adult female fertility rates (c) for each climatic time window. The components of the plot are as described in Fig. 3a. Coefficient estimates for the climate variable term for survival models and fertility models (d) in each time window. (e) Within-site pairwise correlations between climate variables for time window for the blue monkey study site. 7
8 Campos et al. 217 Supporting Information Global Change Biology AICc for models of survival Coefficient estimates (β) for models of survival p c =.87 p c =.93 p c =.93 p c =.93 p c =.97 p c =.9 p c =.48 p c =.9 p c =.94 p c =.87 p c =.9 p c = (c) (d) AICc for models of fertility p c =.9 p c =.95 p c =.83 p c = Coefficient estimates (β) for models of fertility (e) Climate variable pairwise correlations Temperature ENSO Index IOD Index Pearson correlation coefficient Rainfall Temperature ENSO Index Fig. S8: AICc values for climate models of yellow baboon adult, juvenile, and infant survival rates and adult female fertility rates (c) for each climatic time window. The components of the plot are as described in Fig. 3a. Coefficient estimates for the variable term for survival models and fertility models (d) in each time window. (e) Within-site pairwise correlations between climate variables for time window for the yellow baboon study site. 8
9 Campos et al. 217 Supporting Information Global Change Biology AICc for models of survival Coefficient estimates (β) for models of survival p c =.98 p c =.9 p c =.97 p c =.98 p c =.9 p c =.9 p c =.9 p c =.1 p c =.9 p c =.97 p c =.9 p c = (c) (d) AICc for models of fertility p c =.95 p c =.87 p c =.97 p c = Coefficient estimates (β) for models of fertility (e) Climate variable pairwise correlations Temperature ENSO Index IOD Index Pearson correlation coefficient Rainfall Temperature ENSO Index Fig. S9: AICc values for climate models of eastern chimpanzee adult, juvenile, and infant survival rates and adult female fertility rates (c) for each climatic time window. The components of the plot are as described in Fig. 3a. Coefficient estimates for the climate variable term for survival models and fertility models (d) in each time window. (e) Within-site pairwise correlations between climate variables for time window for the eastern chimpanzee study site. 9
10 Campos et al. 217 Supporting Information Global Change Biology AICc for models of survival Coefficient estimates (β) for models of survival p c =.55 p c =.82 p c =.79 p c =.97 p c =.97 p c =.97 p c =.97 p c =.98 p c =.97 p c =.9 p c =.9 p c = (c) (d) AICc for models of fertility p c =.95 p c =.97 p c =.97 p c = Coefficient estimates (β) for models of fertility (e) Climate variable pairwise correlations Temperature ENSO Index IOD Index Pearson correlation coefficient Rainfall Temperature ENSO Index Fig. S1: AICc values for climate models of mountain gorilla adult, juvenile, and infant survival rates and adult female fertility rates (c) for each climatic time window. The components of the plot are as described in Fig. 3a. Coefficient estimates for the climate variable term for survival models and fertility models (d) in each time window. (e) Within-site pairwise correlations between climate variables for time window for the mountain gorilla study site. 1
11 Campos et al. 217 Supporting Information Global Change Biology Average Temperature C Accumulated Rainfall (mm) Month Month Fig. S11: Determination of extreme quarters (i.e., three consecutive months) at each study site. Warmest and coldest quarters. The colored bars show long-term monthly means values of average temperature. The black lines show the mean of the focal month and the two months that follow. Red dots indicate the start month of the warmest quarter and blue dots indicate the start month of the coldest quarter for each site. Wettest and driest quarters. The colored bars show long-term monthly means values of accumulated rainfall. The black lines show the sum of the focal month and the two months that follow. Blue dots indicate the start month of the wettest quarter and brown dots indicate the start month of the driest quarter for each site. 11
12 Campos et al. 217 Supporting Information Global Change Biology Autocorrelation Lag (years) Fig. S: Autocorrelation in population-level annual fertility rates for lags up to 15 years. The gray region shows a 95% confidence interval for the autocorrelation function; autocorrelations falling outside this region (highlighted in red) are significantly different from zero. Significant negative 1-year-lagged autocorrelations are evident in capuchins, muriquis, and blue monkeys. This indicates a pattern in which years with large infant cohorts tend to be followed by years with smaller infant cohorts and vice versa.
13 Campos et al. 217 Supporting Information Global Change Biology Rainfall Temperature Intra annual variability Intra annual variability Inter annual variability Inter annual variability Less seasonal Breeding More seasonal Breeding Fig. S13: Intra-annual (i.e., seasonal) and inter-annual climate variability experienced by each study population in relation to degree of breeding seasonality. Let W represent a locally measured climatic variable, either average temperature or total monthly rainfall. Each W m,y is indexed by months m ( : ) and by years y (y 1 : y n ), where y 1 is the first year of a study with duration n years. We calculated monthly climatological means and coefficients of variation for each month and site: µ m = mean(w m,y1,..., W m,yn ) and CV m = CV (W m,y1,..., W m,yn ). We calculated intra-annual variability as CV (µ m ). For example, the 37 uary rainfall totals for the muriqui site were averaged to calculate µ and this process was repeated for the other 11 months. We then calculated intra-annual variability as CV (µ,..., µ ). We calculated inter-annual variability as mean(cv m ). Again using the muriqui site as an example, we calculated CV,..., CV based on the 37 years of data, and we then calculated inter-annual variability as mean(cv,..., CV ). 13
14 Table S1: Seasonality of births in the seven primate populations. The value of the mean vector (r) indicates how unevenly observations are spread across the annual cycle. When r = 1, all births occur on the same day-of-year, and when r =, the births are evenly distributed across the months. The p values show the results of a Rayleigh test for non-uniformity of circular data. Significant results indicate seasonal reproduction. See also Fig. 4. Species N Births % births in top 3 % births in Mean birth r p months bottom 3 months day-of-year Verreaux s <.1 White-faced <.1 Northern < <.1 Yellow <.1 Eastern Mountain
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