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1 1 2 Human influence on terrestrial precipitation trends revealed by dynamical adjustment 3 Ruixia Guo 1,2, Clara Deser 1,*, Laurent Terray 3 and Flavio Lehner 1 4 5 6 7 1 Climate and Global Dynamics Laboratory, National Center for Atmospheric Research, Boulder, USA 2 Key Laboratory for Semi-arid Climate Change of the Ministry of Education, College of Atmospheric Sciences, Lanzhou University, Lanzhou, China 8 3 Climate, Environment, Coupling and Uncertainties group, Université de Toulouse, 9 10 CERFACS/CNRS, Toulouse, France * Corresponding author: Clara Deser (cdeser@ucar.edu) 11 12 (Letter submitted to Nature Climate Change, 30 October 2018)

2 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 Detecting and attributing a human influence on observed rainfall trends is a major challenge due to the presence of large internal variability on all time scales and by data limitations including restricted temporal and spatial coverage 1-3. Here we apply, for the first time, a dynamical adjustment methodology to a gridded archive of monthly precipitation to estimate an anthropogenic influence on long-term trends (1921-2015) over North America and Eurasia during winter (November-March). This empirical approach aims to remove atmospheric circulation influences from precipitation variability and trends, thereby revealing the thermodynamicallyinduced component as a residual. This thermodynamic residual can be interpreted as an estimate of anthropogenic influence since forced circulation trends are small 4-6. We find that the amplitude and spatial pattern of the thermodynamic residual component of observed winter precipitation trends over the Northern Hemisphere (NH) continents agree well with the anthropogenicallyforced response found in ensembles of historical climate model simulations. Since our dynamical adjustment method uses no information from climate models, this consistency provides compelling evidence for a human influence on century-scale precipitation trends over North America and Eurasia during the cold season. 28 29 30 31 32 33 Precipitation plays a crucial role in climate and sustains life on earth. Without efforts to reduce greenhouse gas emissions from the burning of fossil fuels, humans will cause unprecedented changes in precipitation worldwide, with dire consequences for society, agriculture and the environment 7-10. Globally, precipitation is projected to increase at an approximate rate of 1-2% per K warming; regionally, however, rainfall changes will be more complex depending on local

3 34 35 36 37 horizontal and vertical temperature gradients and associated changes in atmospheric circulation. For example, intensification and poleward expansion of the Hadley Circulation will lead to zonalmean precipitation increases in the deep tropics and middle latitudes and reductions in the subtropics 7,11,12. 38 39 40 41 42 43 44 45 46 47 48 49 50 51 While theory and climate models provide a physical framework for understanding the projected changes in rainfall, detecting and attributing a human influence on observed rainfall trends is a major challenge 3,13. This challenge stems from the high degree of internal variability of precipitation at all time scales, and by limitations of the observational record including data quality issues and restricted spatial and temporal coverage 1-3. Nonetheless, formal detection and attribution methods applied to various observational and modeling data sets have revealed a role for anthropogenic climate change in precipitation trends over limited latitudinal bands and regions, including parts of the NH continents in winter and spring as reviewed in ref. 3. Most recently, ref. 13 assessed the degree to which regional terrestrial precipitation trends are consistent with historical climate model simulations. They concluded that models possibly underestimate centuryscale trends over extratropical land in comparison with observations, with important implications for the veracity of model projections over the coming decades. Ref. 13 ascribed the underestimation to a combination of model and forcing errors, in addition to data quality issues. 52 53 54 Here, we present a different approach to the problem of identification of a possible human influence on century-scale (1921-2015) precipitation trends over North America and Eurasia

4 55 56 57 58 59 60 61 62 63 64 during the cold season using a dynamical adjustment methodology based on Constructed Circulation Analogs (CCA: see Methods). The benefit of this approach is that it provides an observationally-based estimate of response to anthropogenic forcing that is independent of climate models. This methodology has been applied to terrestrial surface air temperatures (SAT) to understand and attribute warming trends over the NH 5,14,15 and to identify hotspots of landatmosphere coupling 16. To the best of our knowledge, this is the first time dynamical adjustment has been used to study and attribute century-scale precipitation trends. Ref. 17 used dynamical adjustment to isolate residual thermodynamic effects of the Atlantic Multi-decadal Oscillation (AMO) upon European rainfall, while Ref. 6 used it to attribute changes in hydroclimate over the southwestern US over the last few decades. 65 66 67 68 69 70 71 72 73 74 75 Trend maps Northern Eurasia (north of approximately 40 N) shows widespread and statistically significant increases in winter precipitation during 1921-2015, with values exceeding 1.2-1.6 mm mo -1 per decade west of the Ural Mountains and along the east coast, while southern Europe exhibits coherent albeit weaker amplitude drying trends that attain statistical significance over the eastern Mediterranean (Fig. 1a). These precipitation trends occur in the context of changes in the largescale atmospheric circulation, with negative sea level pressure (SLP) trends over northern Eurasia and positive SLP trends over the central North Atlantic extending into southwestern Europe (Fig. 1a). Precipitation trends over North America are generally positive but statistically insignificant, accompanied by relatively weak trends in SLP (Fig. 1a).

5 76 77 78 79 80 81 82 83 84 85 86 87 The dynamical contribution to these observed trends as estimated with our CCA procedure is shown in Fig. 1b. Atmospheric circulation changes account for approximately half of the wetting over northern Eurasia, and most of the drying over southern Europe (and extending northward into France and the southern U.K.), consistent with the cyclonic and anticyclonic SLP trends in these two regions respectively (Fig. 1b). These circulation-induced precipitation trends are generally statistically significant for magnitudes exceeding 0.4 mm mo -1 per decade (Fig. 1b). Over North America, anticyclonic circulation trends produce significant drying in the east, while cyclonic trends contribute to wetting over the western U.S. (albeit insignificant; Fig. 1b). It is evident by comparing the total (Fig. 1a) and reconstructed (Fig. 1b) SLP trends that our CCA procedure is highly skillful, with SLP trend differences near zero throughout the Northern Hemisphere (Fig. 1c). 88 89 90 91 92 93 94 95 96 Subtracting the dynamically-induced component of observed precipitation trends from the total yields an estimate of the thermodynamic contribution, hereafter referred to as thermodynamic residual (Fig. 1c). The spatial pattern and amplitude of this observed thermodynamic residual precipitation trend are in good agreement with the radiatively-forced component of trends simulated by climate models, here given by the ensemble-mean of 37 models in the Fifth Coupled Model Intercomparison Project (CMIP5) (Fig. 1d) and of the 40-member Community Earth System Model, version 1 (CESM1) (Fig. 1e), more so than are the original (total) precipitation trends. For example, over Eurasia the thermodynamic residual trends show a more zonally-uniform

6 97 98 99 100 101 102 103 104 105 106 107 108 109 structure compared to the total trends, with precipitation increases (decreases) north (south) of approximately 35 N, similar to the models forced (ensemble-mean) patterns. In addition, the reduced magnitudes of the thermodynamic residual wetting and drying trends are in better agreement with the amplitudes of the models forced responses than are the total trends. Over North America, the thermodynamic residual trends show an area of significant positive values over the eastern third of the continent, a feature that is absent from the total trends and which corresponds well with the region of enhanced wetting in the models forced responses, especially CMIP5. The thermodynamic residual trends over the rest of North America are generally insignificant and do not resemble the models ensemble-mean trends. [Note that the ensemblemean precipitation trends in CMIP5 and CESM1 show a high degree of statistical significance due to the large number of simulations averaged together; thus statistical significance cannot be directly compared between the models ensemble-mean trends and the observed thermodynamic residual trends.] 110 111 112 113 114 115 116 117 The forced SLP trends in both CMIP5 and CESM1 are very weak compared to the observed SLP trends, underscoring that the radiatively-forced precipitation trends in the two model ensembles are predominantly thermodynamic in origin (Fig. 1 d and e). This lends credence to our physical interpretation of the observed residual precipitation trends (Fig. 1c). Indeed, we have verified that removing the forced SLP response (by subtracting the CESM1 or CMIP5 ensemble mean SLP in each month and year) before performing dynamical adjustment on the observations does not appreciably alter the thermodynamic residual precipitation trends (see Fig. S3 in the Supplemental

7 118 Information). 119 120 Regional time series 121 122 123 124 125 126 127 128 129 130 131 To complement the trend maps, we show time series of total, dynamical and thermodynamic residual cold season precipitation anomalies for two regions (outlined in Fig. 1c): Northern Europe (42-75 N, 12 W-60 E) and Eastern North America (30-55 N, 55-95 W). The significant upward trend in total precipitation over Northern Europe (0.79 +/- 0.25 mm mo -1 per decade) is superimposed upon large interannual variability (Fig. 2a, top panel). Atmospheric circulation changes account for 40% of the total long-term trend, and 74% of the total interannual variance (Fig. 2a, middle panel; Table 1), leaving a substantial upward trend (0.47 +/- 0.12 mm mo -1 per decade) and minimal variance in the residual time series (Fig. 2a, bottom panel; Table 1). Note that the total interannual variance slightly exceeds the sum of the individual dynamical and thermodynamic residual interannual variances due to non-zero temporal correlation between these components (Table 1). 132 133 134 135 136 137 The magnitude of the residual trend is similar to the anthropogenic (ensemble-mean) trends in CMIP5 and CESM1 (0.30 +/- 0.10 and 0.29 +/- 0.09 mm mo -1 per decade, respectively), and the residual variance is comparable to that in both model ensembles, obtained by applying dynamical adjustment to each ensemble member and then averaging the residual variances across the members (Table 1). These results are visually apparent in Fig. 2a (bottom panel), which shows that

8 138 139 140 141 142 143 144 the observed residual time series lies almost entirely within the spread of the 40 individual CESM1 residual time series (similar results are obtained for CMIP5; not shown). The lack of interannual variability in the CESM1 and CMIP5 ensemble-mean time series (thick red and blue curves in Fig. 2a, bottom panel) results from averaging across the random sequences of internal variability in the individual members. Thus, the amplitude of interannual variance cannot be directly compared between an ensemble-mean time series and an individual (observed or simulated) residual time series. 145 146 147 148 149 150 151 152 153 154 155 156 157 Compared to Northern Europe, total precipitation over Eastern North America displays a much smaller (and statistically insignificant) upward trend (0.27 +/- 0.46 mm mo -1 per decade) and a higher level of interannual variance (Fig. 2b, top panel; Table 1). Atmospheric dynamics causes a drying trend (-0.32 +/- 0.37 mm mo -1 per decade), leaving a statistically significant wetting trend in the residual time series (0.59 +/- 0.36 mm mo -1 per decade: Fig. 2a, middle and bottom panels; Table 1). Like Northern Europe, the magnitude (and sign) of the residual trend is similar to the anthropogenic trends in CMIP5 and CESM1 (0.44 +/- 0.34 and 0.38 +/- 0.34 mm mo -1 per decade, respectively), and the residual variance is comparable to that in both model ensembles (Table 1). Indeed, the observed residual time series lies within the ensemble of residual time series from CESM1 (Fig. 2b, bottom panel) and CMIP5 (not shown). A larger proportion of interannual variance remains in the observed residual time series for Eastern North America (65%) compared to Northern Europe (25%; Table 1).

9 158 159 Interannual variance 160 161 162 163 164 165 166 167 168 Figure 3a and b show maps of cold season precipitation climatology and its interannual variance (based on detrended data), respectively. There is a strong correspondence between the climatology and the amplitude of variability. For example, coastal regions are wetter and more variable than continental interiors. The variance attributable to atmospheric dynamics maximizes over western North America and Eurasia, exceeding 50% within these areas and more than 70% along the European coast (Fig. 3c). Less variance is explained elsewhere, even in the highly variable regions of eastern North America and Japan. Both CMIP5 and CESM1 show realistic simulations of the geographical patterns and amplitudes of precipitation climatology and total interannual variance, as well as the proportion of variance attributable to dynamics (Fig. 4; Table 1). 169 170 Concluding remarks 171 172 173 174 175 176 To the best of our knowledge, this is the first use of dynamical adjustment to identify an anthropogenic influence on observed long-term (95-year) precipitation trends. In particular, we have applied a CCA-based procedure to estimate the dynamically-induced portion of winter (November-March) precipitation trends during 1921-2015 over North America and Eurasia. Subtracting this dynamical component from the total trend yields the thermodynamic residual precipitation trend. The geographical pattern and amplitude of this observed thermodynamic

10 177 178 179 180 181 182 183 184 185 186 residual trend are in good agreement with anthropogenically-forced trends obtained from two different climate model large ensembles: the 37-model CMIP5 archive and the 40-member CESM1. In particular, the observed thermodynamic residual trends over Eurasia show a more zonally-uniform structure compared to the total trends, with precipitation increases (decreases) north (south) of approximately 35 N, similar to the models forced (ensemble-mean) patterns. In addition, the magnitudes of the residual wetting and drying trends are in better agreement with the models forced responses than are the total trends. Over North America, the thermodynamic residual trends show enhanced wetting over the eastern third of the continent, similar to the forced responses in the model ensembles. In observations, this thermodynamic wetting trend is nearly completely offset by a dynamically-induced drying trend. 187 188 189 190 191 192 193 194 195 The fact that the forced circulation (SLP) trends in both model ensembles are close to zero over the time period considered leads us to conclude that the dynamically-induced portion of the observed precipitation trends is almost entirely internally generated. This, in turn, leads us to the interpretation that the observed residual precipitation trends are externally forced. The close similarity between the models forced trends and the observed residual trend lends strong support to our inference. We emphasize that our dynamical adjustment procedure applied to observations is entirely independent of information from climate models, unlike other approaches such as those used in formal detection and attribution studies. 196

11 197 Acknowledgements 198 199 200 201 We thank Drs. Isla Simpson and Angeline Pendergrass for useful discussions during the course of this work. The first author was supported by China Scholarship Council and National Natural Science Foundation of China (41722502, 41575006, 41521004, 91637312) and the China 111 project (No. B 13045). NCAR is sponsored by the US National Science Foundation. 202 203 References 204 205 206 207 208 209 210 211 212 213 214 215 216 1. Hawkins, E. & Sutton, R. The potential to narrow uncertainty in regional climate predictions. Bull. Am. Meteorol. Soc. 90, 1095 1107 (2009). 2. Hegerl, G. C. et al. Challenges in Quantifying Changes in the Global Water Cycle. Bull. Am. Meteorol. Soc. 96, 1097 1115 (2015). 3. Sarojini, B. B., Stott, P. A. & Black, E. C. L. Detection and attribution of human influence on regional precipitation. Nat. Clim. Change 6, 669-675 (2016). 4. Wallace, J. M, Fu, Q., Smoliak, B., Lin, P. & Johanson, C. M. Simulated versus observed patterns of warming over the extratropical Northern Hemisphere continents during the cold season. P. Natl. Acad, Sci. 109, 14337-14342 (2012). 5. Deser, C., Terray, L. & Phillips, A. S. Forced and internal components of winter air temperature trends over North America during the past 50 years: Mechanisms and implications. J. Clim. 29, 2237-2258 (2016). 6. Lehner, F., Deser, C., Simpson, I. R. & Terray, L. Attributing the US Southwest s recent shift

12 217 into drier conditions. Geophys. Res. Lett. 45, 6251-6261 (2018). 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 7. IPCC Climate Change 2013: The Physical Science Basis (eds Stocker, T. F. et al.) (Cambridge Univ. Press, 2013). 8. Xie, X. H. et al. Detection and attribution of changes in hydrological cycle over the Three- North region of China: Climate change versus afforestation effect. Agr. Forest Meteorol. 203, 74-87 (2015). 9. Pendergrass, A. G., Knutti, R., Lehner, F., Deser, C. & Sanderson, B. M. Precipitation variability increases in a warmer climate. Sci. Rep. 7, 17966 (2017). 10. Trenberth, K. E. Climate change caused by human activities is happening and it already has major consequences. J. Energy Nat. Resour. Law. 36, 463-481 (2018). 11. Held, I. M. & Soden, B. J. Robust responses of the hydrological cycle to global warming. J. Clim. 19, 5686 5699 (2006). 12. O Gorman, P. A. & Schneider, T. The physical basis for increases in precipitation extremes in simulations of 21st-century climate change. P. Natl. Acad, Sci. 106, 14773-14777 (2009). 13. Knutson, T. R. & Zeng, F. R. Model Assessment of Observed Precipitation Trends over Land Regions: Detectable Human Influences and Possible Low Bias in Model Trends. J. Clim. 31, 4617 4637 (2018). 14. Smoliak, B. V., Wallace, J. M., Lin, P. & Fu, Q. Dynamical Adjustment of the Northern Hemisphere Surface Air Temperature Field: Methodology and Application to Observations. J. Clim. 28, 1613 1629 (2015). 15. Lehner, F., Deser, C. & Terray, L. Toward a new estimate of time of emergence of

13 238 239 240 241 242 243 244 anthropogenic warming: Insights from dynamical adjustment and a large initial-condition model ensemble. J. Clim. 30, 7739 7756 (2017). 16. Merrifield, A., Lehner, F., Xie, S. -P. & Deser, C. Removing Circulation Effects to Assess Central US Land-Atmosphere Interactions in the CESM Large Ensemble. Geophys. Res. Lett. 44, 9938-9946 (2017). 17. O Reilly, C. H., Woollings, T. & Zanna, L. The Dynamical Influence of the Atlantic Multidecadal Oscillation on Continental Climate. J. Clim. 30, 7213 7230 (2017). 245 246 Figure Captions 247 248 249 250 251 252 253 Figure 1. (a) Observed winter (November-March) precipitation (color shading; mm mo -1 per decade) and SLP (contours, hpa per decade) trends during 1921-2015. (b) Dynamical contribution to (a). (c) Thermodynamic residual (a minus b). Ensemble-mean precipitation and SLP trends from (d) CMIP5 and (e) CESM1. In all panels, the SLP contour interval is 0.1 hpa per decade, with positive (negative) values in red (blue) and the zero contour in black. Stippled regions denote precipitation trends that are insignificant at the 90% confidence level based on a two-sided Student-t test. The zero contour is suppressed for clarity on panel (c). 254 255 256 257 Figure 2. Observed time series of winter (November-March) precipitation anomalies (mm mo -1 ) averaged over (a) Northern Europe and (b) Eastern North America (regions outlined in Fig. 1c). The upper curve shows the total precipitation, middle curve shows the dynamical contribution, and

14 258 259 260 261 the bottom curve shows the thermodynamic residual. Also shown are the best-fit linear trend lines. The thick red and blue curves show the CESM1 and CMIP5 ensemble mean time series, respectively, and the thin red curves show the thermodynamic residual time series for each of the 40 CESM1 ensemble members. 262 263 264 265 Figure 3. Observed winter (November-March) precipitation (a) climatology (mm mo -1 ), (b) interannual variance (mm mo -1 ) 2, and (c) percentage of interannual variance explained by dynamical adjustment (%) based on detrended data during 1921-2015. 266 267 268 269 270 Figure 4. Simulated winter (November-March) precipitation (a, d) climatology (mm mo -1 ), (b, d) interannual variance (mm mo -1 ) 2, and (c, e) percentage of interannual variance explained by dynamical adjustment (%) for CMIP5 and CESM1 based on averaging across all ensemble members. All data are detrended prior to computing the variance. 271 272 273 274 275 276 277 278 Tables Table 1. (Top) Observed total, dynamical, and thermodynamic residual precipitation trends (1921-2015) and associated 90% confidence intervals ((mm mo -1 ) decade -1 ) for Northern Europe and Eastern North America. The last column shows ensemble-mean trend values and 90% confidence intervals based on (top) CMIP5 and (bottom) CESM1. Note that the models confidence intervals are obtained by averaging the confidence intervals of the thermodynamic residual trends across all members. Values in bold font are significant at the 90% confidence level.

15 279 280 281 282 283 (Bottom) Observed interannual variance ((mm mo -1 ) 2 of total, dynamical, and thermodynamic residual precipitation for Northern Europe and Eastern North America. The last column shows interannual variance of thermodynamic residual precipitation averaged across all members of (top) CMIP5 and (bottom) CESM1. All data are detrended prior to computing the variance over the period 1921-2015. 284

16 285 286 287 288 289 290 291 292 293 294 Figure 1. (a) Observed winter (November-March) precipitation (color shading; mm mo -1 per decade) and SLP (contours, hpa per decade) trends (1921-2015). (b) Dynamical contribution to (a). (c) Thermodynamic residual (a minus b). Ensemble-mean precipitation and SLP trends from (d) CMIP5 and (e) CESM1. In all panels, the SLP contour interval is 0.1 hpa per decade, with positive (negative) values in red (blue) and the zero contour in black. Stippled regions denote precipitation trends that are insignificant at the 90% confidence level based on a two-sided Student-t test. The zero contour is suppressed for clarity on panel (c).

17 295 296 297 298 299 300 301 302 303 304 305 Figure 2. Observed time series of winter (November-March) precipitation anomalies (mm mo -1 ) averaged over (a) Northern Europe and (b) Eastern North America (regions outlined in Fig. 1c). The upper curve shows the total precipitation, middle curve shows the dynamical contribution, and the bottom curve shows the thermodynamic residual. Also shown are the best-fit linear trend lines. The thick red and blue curves show the CESM1 and CMIP5 ensemble mean time series, respectively, and the thin red curves show the thermodynamic residual time series for each of the 40 CESM1 ensemble members.

18 306 307 308 309 310 311 Figure 3. Observed winter (November-March) precipitation (a) climatology (mm mo -1 ), (b) interannual variance (mm mo -1 ) 2, and (c) percentage of interannual variance explained by dynamical adjustment (%) based on detrended data during 1921-2015.

19 312 313 314 315 316 317 318 Figure 4. Simulated winter (November-March) precipitation (a, d) climatology (mm mo -1 ), (b, d) interannual variance (mm mo -1 ) 2, and (c, e) percentage of interannual variance explained by dynamical adjustment (%) for CMIP5 and CESM1 based on averaging across all ensemble members. All data are detrended prior to computing the variance.

20 319 320 321 322 323 324 325 326 327 328 329 330 331 332 Table 1. (Top) Observed total, dynamical, and thermodynamic residual precipitation trends (1921-2015) and associated 90% confidence intervals ((mm mo -1 ) decade -1 ) for Northern Europe and Eastern North America. The last column shows ensemble-mean trend values and 90% confidence intervals based on (top) CMIP5 and (bottom) CESM1. Note that the models confidence intervals are obtained by averaging the confidence intervals of the thermodynamic residual trends across all members. Values in bold font are significant at the 90% confidence level. (Bottom) Observed interannual variance ((mm mo -1 ) 2 of total, dynamical, and thermodynamic residual precipitation for Northern Europe and Eastern North America. The last column shows interannual variance of thermodynamic residual precipitation averaged across all members of (top) CMIP5 and (bottom) CESM1. All data are detrended prior to computing the variance over the period 1921-2015. Trend (1921-2015) (mm mo -1 ) dec -1 Observed Total Observed dynamical contribution Observed thermodynamic residual Ensemble mean CMIP5 CESM1 Northern Europe 0.79±0.25 0.32±0.22 0.47±0.12 0.30±0.10 0.29±0.09 Eastern North America 0.27±0.46-0.32±0.37 0.59±0.36 0.44±0.34 0.38±0.34 Interannual variance (mm mo -1 ) 2 Observed Total Observed dynamical contribution Observed thermodynamic residual Ensemble mean thermo. resid. CMIP5 CESM1 Northern Europe 20.2 13.1 5.2 3.0 2.4 Eastern North America 54.5 34.9 35.6 30.9 31.4 333