PUBLICATIONS Journal of Geophysical Research: Atmospheres RESEARCH ARTICLE 10.1002/2015JD023830 Key Points: • Hot extremes in summer and soil moisture deficit are in negative correlation • Offers an evidence for different warming patterns of regional climate • Sheds light on physical mechanisms behind warming climate at the regional scale Correspondence to: Q. Zhang, zhangq68@mail.sysu.edu.cn Citation: Zhang, Q., M. Xiao, V. P. Singh, L. Liu, and C.-Y. Xu (2015), Observational evidence of summer precipitation deficit-temperature coupling in China, J. Geophys. Res. Atmos., 120, 10,040–10,049, doi:10.1002/ 2015JD023830. Received 19 JUN 2015 Accepted 11 SEP 2015 Accepted article online 14 SEP 2015 Published online 6 OCT 2015 Observational evidence of summer precipitation deficit-temperature coupling in China Qiang Zhang1,2,3, Mingzhong Xiao1,2, Vijay P. Singh4, Lin Liu3, and Chong-Yu Xu5 1 Department of Water Resources and Environment, Sun Yat-sen University, Guangzhou, China, 2Key Laboratory of Water Cycle and Water Security in Southern China of Guangdong High Education Institute, Sun Yat-sen University, Guangzhou, China, 3Guangdong Provincial Key Laboratory of Urbanization and Geo-simulation, School of Geography and Planning, Sun Yat-sen University, Guangzhou, China, 4Department of Biological and Agricultural Engineering and Zachry Department of Civil Engineering, Texas A&M University, College Station, Texas, USA, 5Department of Geosciences and Hydrology, University of Oslo, Oslo, Norway Abstract Partition of the energy between sensible heat and latent heat indicates that surface temperatures are affected by soil moisture deficits. Since transpiration by plants is the largest contributor to the land’s total latent heat, the coupling of temperature and soil moisture will depend on the response of vegetation to soil moisture deficit and those are influenced by the soil moisture regimes. Utilizing daily precipitation and temperature data from China for a period of 1961–2010, this study computes average annual climatic water balance (AACWB) for defining soil moisture regimes and then quantitatively investigates the summer soil moisture-temperature coupling. With precipitation deficits (indicated by standardized precipitation index with the selected optimal timescale of 3 months) as proxy of soil moisture deficits, results indicate that the relationship between summer precipitation deficits and hot extremes tends to be enhanced when the negative AACWB draws closer toward zero while tends to be weakened with the increase of positive AACWB. For the region with the negative AACWB closing zero, the enhanced relationship should be attributed to the increase of the proportion of latent heat compared to the absorbed total energy. However, the weakened relationship with the increase of positive AACWB may be owing to the different responses of vegetation to precipitation deficit that the transpiration in the region with lower positive AACWB is less when responding to precipitation deficit. However, the physiological mechanisms behind vegetation response to soil moisture deficits still need to be further analyzed. By quantifying relevant biological and hydrological processes and their interaction, it is expected that the uncertainties in future climate scenarios be reduced, which would then allow the development of early warning and adaptation measures prior to the occurrence of hot extremes. Further, the summer precipitation deficit-temperature coupling is strongest along the strip stretching from southwest to northeast in China. 1. Introduction Owing to the potential for improving long-term and large-scale climate prediction, interactions between soil moisture and climate are important [e.g., Seneviratne et al., 2010]. Hence, the coupling between soil moisture and extreme temperatures has received much attention in recent decades [Hirschi et al., 2011; Mueller and Seneviratne, 2012; Ford and Quiring, 2014]. With the quantile regression method, it has been established that the impact of soil moisture deficit on temperature extremes is asymmetric; i.e., the connection is the strongest for most extreme heat events, as highlighted in southeastern Europe [e.g., Hirschi et al., 2011] and Oklahoma Mesonet, USA [e.g., Ford and Quiring, 2014]. In a recent global study [Mueller and Seneviratne, 2012], the soil moisture-temperature coupling has been shown to be geographically extensive, such as most areas of North America, South America, Europe, Australia, and parts of China. In order to generalize this soil moisture-temperature coupling, data should be collected from climatically diverse regions and this is the major motivation of the current study. ©2015. American Geophysical Union. All Rights Reserved. ZHANG ET AL. Soil moisture is a major source of water for evapotranspiration from land areas, including transpiration and bare soil evaporation. As the energy required for evaporation is large, the soil moisture amount will affect how energy absorbed by the land surface is returned to the atmosphere [Alexander, 2011]. Whenever soil moisture limits the total energy used by the latent heat flux (manifested as the evaporation of liquid water), more energy is available for sensible heating (directly heats air or land), which induces an increase of the RAINFALL DEFICIT-TEMPERATURE COUPLING 10,040 Journal of Geophysical Research: Atmospheres 10.1002/2015JD023830 near-surface air temperature [Seneviratne et al., 2010]. Thus, surface temperature is affected by soil moisture anomalies through the partition of energy between sensible heat and latent heat [Seneviratne et al., 2010; Alexander, 2011]. Besides, transpiration by plants is the largest contributor to the total land evapotranspiration (the main manifestation of latent heat); the relationship between the surface temperature and soil moisture deficits will depend on the response of vegetation to soil moisture deficit, and those are expected to be influenced by the soil moisture regimes. It has been found that Hirschi et al. [2011] and Meng and Shen [2013] classified the soil moisture regimes into soil moisture-limited evapotranspiration regime and energy-limited evapotranspiration regime when analyzing the influence of soil moisture regime on hot extremes. However, above mentioned classification was not quantified. Besides, previous studies [Stephenson, 1990; Vicente-Serrano et al., 2013] have shown that climatic water balance (the difference between annual precipitation and potential evapotranspiration) is one of the main climate drivers behind the geographical distribution of vegetation types. Further, as a function of average annual climatic water balance (AACWB), different responses of the land biomes to drought have been found, when considering separately negative and positive AACWB [Vicente-Serrano et al., 2013]. Therefore, in this study AACWB has been utilized to define soil moisture regimes to quantitatively analyze the relationship between soil moisture deficits and hot extremes. Like other regions of the world, China has also been identified as one of the regions with strong soil moisturetemperature coupling in the Global Land and Atmosphere Coupling Experiments [Koster et al., 2006], and a significant relationship between soil moisture deficits and extreme temperatures has been found in east China by Meng and Shen [2013]. In that study, the 6 month standardized precipitation index (SPI) has been used to represent antecedent soil moisture deficits in order to avoid uncertainties associated with modeled soil moisture. However, no reasons have been given concerning why not to select the SPI with other alternative timescales. So in this current study, the 3 month, 6 month, and 9 month SPI have been calculated as a measure of soil moisture conditions, respectively, and then the optimal timescale of SPI is selected when the relationship between the SPI and hot extremes is the best. Furthermore, China has a huge land area, and its climate is diverse with transition from arid northwest to humid southeast, resulting in different vegetation types. It is expected that the coupling of soil moisture and temperature would vary with climate regions. However, previous studies [Meng and Shen, 2013] did not quantitatively identify the soil moisture-extreme temperature coupling in different regions with different climates, even though this coupling is valuable for the development of early warning and adaptation measures before the occurrence of hot extremes and reduction of uncertainties in future climate scenarios in particular with regard to changes in climate variability and extreme events [Seneviratne et al., 2010]. Thus, this study will serve as a reference for other regions of the world. The objectives of this study therefore are to (1) investigate the relationship between the summer monthly SPI and hot days in China using the quantile regression with the selected optimal timescale of SPI and (2) quantitatively evaluate the variation of the relationship between the summer monthly SPI and hot extremes corresponding to the different soil moisture regimes which are represented by the AACWB. 2. Study Region and Data Located in East Asia (Figure 1), China (18°–54°N, 73°–135°E) is climatologically characterized by winter and summer monsoons. The annual total precipitation in China generally ranges from less than 25 mm in northwest to more than 2000 mm in southeast and is mainly concentrated in summer [Zhai et al., 2005]. Owning to the complex topographic landscape and various underlying features, climate across China is complicated and diverse. China is subdivided into eight climatic regions [Xiao et al., 2013]: western arid (semiarid) zone, Qinghai-Tibetan Plateau, east arid zone, southwest China, northeast China, north China, central China, and south China (Figure 1). Data on daily precipitation and daily 2 m air temperature (Tmax and Tmin) covering a period of 1961–2010 from 554 weather stations in China were obtained from the National Meteorological Information Center of the China Meteorological Administration. For daily precipitation, there are 70 weather stations containing missing days with the largest missing rate of 0.36%, and most of them had less than 0.1% of total missing values. For daily temperatures, there are 220 and 299 weather stations containing missing days, respectively, for Tmax and Tmin with the largest missing rate of 2%. However, most of them had less than 0.1% of total missing values. It should be noted here that the 554 stations were extracted from 754 stations in China with the guidelines that first, the stations ZHANG ET AL. RAINFALL DEFICIT-TEMPERATURE COUPLING 10,041 Journal of Geophysical Research: Atmospheres 10.1002/2015JD023830 Figure 1. Study region and locations of weather stations. with time series less than the period of 1961–2010 were deleted, and then the stations with missing data of consecutive months were also excluded from the analysis, as it is hard to fill a vacancy for the stations with missing data over a consecutive month. The missing values of specific days were replaced by the long-term average of the same days of other years, and a similar gap fill method was used by Zhang et al. [2011]. The percentage of hot days (% HD) and the maximum heat wave duration (HWDmax) were used to represent the summer (June, July, and August) hot extremes. According to Hirschi et al. [2011], % HD was defined as the percentage of hot days in each month with daily Tmax exceeding the local 90th percentile temperature in the reference period (1961–1990) and HWDmax was defined as the maximum consecutive days in each month with daily Tmax exceeding the local 90th percentile of the same reference period. Similar to Mueller and Seneviratne [2012], a time window of 5 days centered on each day of the reference period was considered to calculate the local 90th percentile temperature. In addition, the subsoil (30–100 cm) pH data for China have also been extracted from the Regridded Harmonized World Soil Database v1.2 provided by the Oak Ridge National Laboratory Distributed Active Archive Center [Fischer et al., 2008; Wieder et al., 2014], and the spatial resolution of the data set is 0.05° longitude × 0.05° latitude. In this study, the spatial resolution of the station-based grid weather data is 1° longitude × 1° latitude; to match the spatial resolution of the grid weather data, the spatial resolution of the subsoil pH data, i.e., 0.05° longitude × 0.05° latitude, was resampled to the spatial resolution of 1° longitude × 1° latitude, which was done with the average of the original subsoil pH data. If the resampled grids contain more than half of the original grids with missing values, then the resampled grids were set as the missing values. 3. Methodology 3.1. Gridding of Station-Based Data Since the observation stations are not evenly distributed across China, it is difficult to obtain regional averages without bias. To reduce the bias, a method to grid the station-based data onto a regular latitudelongitude grid was used, as suggested by Alexander et al. [2006]. Compared to several other methods such as thin-plate splines and Delaunay triangulation, New et al. [2000] have found that the angular distance weighting method is the most appropriate method for gridding irregularly spaced data, and then this method has been used in this study. For gridding, the angular distance weighting method was used by weighting each station according to its distance and angle from the center of a search radius while the search radius was determined based on the spatial correlation structure of station data, and this method has also been used by Caesar et al. [2006] and Alexander et al. [2006]. In this study, the resolution of gridding was 1° latitude × 1° longitude, and details of the calculation of the angular distance weighting method can be referred to Alexander et al. [2006] and Caesar et al. [2006]. ZHANG ET AL. RAINFALL DEFICIT-TEMPERATURE COUPLING 10,042 Journal of Geophysical Research: Atmospheres 10.1002/2015JD023830 3.2. Quantile Regression The ordinary least squares (OLS) regression has been commonly used to estimate the change in the mean of a response variable. However, the OLS is not suitable for regression models with heterogeneous variance as rate of change is not constant [Hirschi et al., 2011; Meng and Shen, 2013]. Since it has been well documented that the influence of soil moisture on temperature extremes is asymmetric [Hirschi et al., 2011; Mueller and Seneviratne, 2012; Ford and Quiring, 2014], the quantile regression was used in this study to analyze the relationship between soil moisture and temperature, as it estimates multiple rates of change from the minimum to the maximum quantile, and these have also been done by Hirschi et al. [2011] and Mueller and Seneviratne [2012]. Details of the quantile regression can be found in Koenker [2005] and Hirschi et al. [2011]. The quantile regression was analyzed using R package “quantreg” [Koenker, 2013]. To assess the significance of regression relation, confidence intervals for the regression slope were also computed, and the rank test method, assuming errors to be independent and identically distributed, was used, as it is the default option in the R package quantreg. 3.3. SPI The standardized precipitation index (SPI) was used to represent the antecedent precipitation deficit (positive values indicate wet conditions while negative values drought). The SPI was developed by McKee et al. [1993] to evaluate drought conditions and is based on the statistical probability of precipitation. The SPI can be calculated by first fitting a gamma distribution to precipitation data and then transform the data to an inverse normal function [Meng and Shen, 2013; Zhang et al., 2013]. Detailed calculation of SPI can be found in Zhang et al. [2013, and references therein]. Considering precipitation of the previous months, the SPI can be used to represent drought at various timescales (i.e., 1, 2, 3, 6, 9, 12, and 24 months). The 6 month SPI has been used by Meng and Shen [2013] as a measure of soil moisture conditions in east China. However, so far, no confirmative evidence is available as to the decision for timescales for SPI analysis. In this study, 3, 6, and 9 month SPIs were calculated as measures of soil moisture conditions, and then the optimal timescale of SPI was selected when the relation between summer monthly SPI and hot extremes was satisfactory. 3.4. Climatic Water Balance To quantitatively analyze the influence of the soil moisture regimes on the relationship between precipitation deficits and hot extremes, AACWB was employed to define soil moisture regimes. The AACWB is the average of annual difference between precipitation and potential evapotranspiration (PET). The soil moisture regimes have also been qualitatively classified into soil moisture-limited evapotranspiration regime and energy-limited evapotranspiration regime by Hirschi et al. [2011] and Meng and Shen [2013], and the soil moisture-limited evapotranspiration regime nearly corresponds to the region with the negative AACWB, while energy-limited evapotranspiration regime nearly corresponds to the region with the positive AACWB. This classification used in the study is not exactly the same but similar to the soil moisture regimes introduced in Seneviratne et al. [2010]. Besides, PET is the amount of evaporation and transpiration that would occur if sufficient water were available. In this study, a modified form of the Hargreaves equation [Droogers and Allen, 2002; Hargreaves, 1994] was used to compute the monthly PET using the Hargreaves program in the R package of “SPEI” [Beguería and Vicente-Serrano, 2013]. 4. Results 4.1. Selection of Timescale of SPI To select the optimal timescale for SPI as a proxy for precipitation deficit, the quantile regression slopes of 0.05–0.95 quantiles of summer monthly % HD in relation to 3, 6, and 9 month SPI for each subregion in China were analyzed (Figure 2). The larger the slope, the stronger the relationship is between summer monthly precipitation deficits and hot extremes; then it can be seen from Figure 2 that the relationship between summer monthly %HD and precipitation deficit is stronger when the precipitation deficit is represented by the 3 month SPI. Hence, the 3 month timescale was chosen for SPI for all the subregions. It should be noted that in some subregions, the 3 month SPI and 6 month SPI perform nearly the same; ZHANG ET AL. RAINFALL DEFICIT-TEMPERATURE COUPLING 10,043 Journal of Geophysical Research: Atmospheres 10.1002/2015JD023830 Figure 2. Quantile regression slopes of 0.05–0.95 quantiles of summer monthly % HD in relation to SPI with different timescales for each subregion in China, (a) for western arid (semiarid) zone, (b) for Qinghai-Tibetan Plateau, (c) for east arid zone, (d) for southwest China, (e) for northeast China, (f) for north China, (g) for central China, and (h) for south China. The 90% confidence intervals of the estimated slopes are also shown as shading. however, to maintain consistency, only the 3 month SPI has been selected as the index with the optimal timescale for precipitation deficit. The same procedure was used to calculate the summer monthly HWDmax, and the selected timescales for SPI were the same as those for % HD, as shown in Table 1. Besides, it should be noted here that in these analyses regionally averaged hot extremes and SPI were used, and the regional average was based on gridding as discussed in section 3.1. Table 1. The Selected Timescale of SPI as a Measure of Precipitation Deficit for Each Subregion in China and Also the Estimated Slope of Summer % HD and a HWDmax at the 50th and 90th Percentiles (Including Their 90% Confidence Intervals) in Relation to the SPI With the Optimal Timescale Summer %HD Summer HWDmax %/SPI SPI Timescale Western arid (semiarid) zone Qinghai-Tibetan Plateau East arid zone Southwest China Northeast China North China Central China South China a 3 3 3 3 3 3 3 3 Days/SPI 50th 0.02 [ 0.06 [ 0.06 [ 0.07 [ 0.08 [ 0.05 [ 0.07 [ 0.04 [ 0.04,0.01] 0.08, 0.00] 0.08, 0.04] 0.10, 0.04] 0.11, 0.07] 0.07, 0.02] 0.09, 0.02] 0.06, 0.01] 90th 0.06 [ 0.07 [ 0.12 [ 0.14 [ 0.13 [ 0.05 [ 0.14 [ 0.08 [ 0.09, 0.10, 0.14, 0.17, 0.14, 0.09, 0.19, 0.11, SPI Timescale 0.00] 0.04] 0.00] 0.06] 0.06] 0.04] 0.04] 0.00] 3 3 3 3 3 3 3 3 50th 0.12 [ 1.17 [ 0.87 [ 1.13 [ 1.19 [ 0.83 [ 1.20 [ 0.57 [ 0.74, 0.07] 1.59, 0.04] 1.34, 0.55] 1.44, 0.56] 1.60 0.89] 1.14, 0.37] 1.46, 0.29] 1.05, 0.23] 90th 0.98 [ 1.24 [ 1.21 [ 1.71 [ 1.48 [ 0.51 [ 1.92 [ 0.78 [ 1.41, 1.09] 1.76, 0.68] 2.14, 0.07] 2.43, 0.81] 2.16, 0.61] 1.07, 0.10] 2.98, 0.07] 1.68, 0.02] And the bold numbers indicate the slopes which are not significantly different from 0 at the 90% confidence intervals. ZHANG ET AL. RAINFALL DEFICIT-TEMPERATURE COUPLING 10,044 Journal of Geophysical Research: Atmospheres 10.1002/2015JD023830 Figure 3. Scatterplots of summer monthly % HD versus 3 month SPI for each subregion in China, (a) for western arid (semiarid) zone, (b) for Qinghai-Tibetan Plateau, (c) for east arid zone, (d) for southwest China, (e) for northeast China, (f) for north China, (g) for central China, and (h) for south China. The regression lines for 0.1, 0.3, 0.5 (median), 0.7, and 0.9 quantiles are also shown in the figures, and for 90% confidence intervals of the slopes of quantile regression lines, see Figure 2. 4.2. Relationship Between Summer Monthly SPI and Hot Extremes Figure 3 shows scatterplots of summer monthly % HD versus 3 month SPI in each subregion and also with quantile regression lines fitted for quantiles 0.1, 0.3, 0.5, 0.7, and 0.9, corresponding to the lowest (10% and 30%), median (50%), and highest (70% and 90%) of the sorted % HD. It can be seen from Figure 3 that the slope of the quantile regression lines generally increases from 0.1 to 0.9 quantiles for all regions but for the western arid (semiarid) zone and the Qinghai-Tibetan Plateau. Similar to the results of Meng and Shen [2013], the increased negative slope toward higher % HD indicates a stronger correlation between higher % HD quantile (hot extremes) and SPI in the east part of China. These negative slopes are statistically different from 0 slope at the 90% level for most quantiles (Figure 2). For the western arid (semiarid) zone and the Qinghai-Tibetan Plateau, it seems that there are no significant relationships between summer monthly % HD and SPI. And this may be owing to the fact that these regions are very dry with the average annual precipitation less than 100 mm, and also, most of these regions are dominated by the desert or desert vegetation. Compared to the sensible heat, the latent heat is very small in those regions. Any increase in precipitation will remain sufficiently small such that it will have only a limited ZHANG ET AL. RAINFALL DEFICIT-TEMPERATURE COUPLING 10,045 Journal of Geophysical Research: Atmospheres 10.1002/2015JD023830 Figure 4. Spatial distribution of gridded average annual climate water balance (AACWB) in China, and areas with no data are depicted in white. influence on the partitioning of incoming radiation. Consequently, significant relationships cannot be expected between summer monthly % HD and SPI. In addition, a similar pattern was also found in the quantile analysis between summer monthly HWDmax and SPI with the selected timescale (Table 1). 4.3. Influence of Soil Moisture Regime on the Relationship Between Summer Precipitation Deficits and Hot Extremes To quantitatively analyze the influence of soil moisture regime on the relationship between summer precipitation deficit and hot extremes, the AACWB was used to define the soil moisture regimes. The spatial distribution of gridded AACWB is shown in Figure 4, indicating that the AACWB is generally increasing from northwest to southeast. As the station-based data are gridded onto a 1° latitude × 1° longitude grid, the quantile regression analysis of summer % HD and HWDmax in relation to 3 month SPI was done for each grid. Corresponding to the AACWB, the slopes of 0.5, 0.7, and 0.9 quantiles for % HD and HWDmax are shown in Figure 5. It can be observed from Figure 5 that when the negative AACWB draws closer to zero, the magnitude of negative slope tends to increase and reach the maximum in the region with the near-zero AACWB then the magnitude of negative slope tends to decrease with the increasing of positive AACWB, and these relations are more significant for higher quantiles. Based on the definition of AACWB, it can be assumed that all of the precipitation can be used for the evapotranspiration in the region with negative AACWB. As the potential evapotranspiration is nearly the same, the negative AACWB is just increased with the increasing of precipitation. So for the region with the negative AACWB drawing closer toward zero, there is more precipitation for the latent heat (manifested as the evaporation). As the absorbed energy from the radiation are also nearly the same, the proportion of latent heat compared to the absorbed total energy is increasing, and this indicates that the precipitation deficit will have a greater influence on the partition of radiation to the sensible heat at this region, so it can be expected that the magnitude of negative slope will increase when the negative AACWB is nearing to zero. Besides, the vegetation generally ranges from the desert vegetation to the grassland and to the forest when the negative AACWB is nearing toward zero, implying that the total transpiration of plant is increased; then this further enhances the influences of precipitation deficit on the partition of latent heat to the sensible heat. However, it is hard to explain why the magnitude of negative slope tends to decrease with the increase of positive AACWB. For the region with positive AACWB, the precipitation is more than the potential evapotranspiration; then more precipitation will not increase the evapotranspiration and also not affect the vegetation coverage, so it can be considered that the proportion of latent heat compared to the absorbed total energy is nearly the same. Yet as transpiration is the largest contributor to the total land evapotranspiration [Seneviratne et al., 2010], the characteristic of decreasing negative slope magnitude with the increase of positive AACWB may ZHANG ET AL. RAINFALL DEFICIT-TEMPERATURE COUPLING 10,046 Journal of Geophysical Research: Atmospheres 10.1002/2015JD023830 Figure 5. Relationships between slopes of 0.5, 0.7, and 0.9 quantiles and AACWB across China for (top row) % HD and (bottom row) HWDmax. The linear fits and coefficients are also shown in all graphs considering separately negative and positive AACWB, and dots are shown as filled when the slopes of 0.5, 0.7, or 0.9 quantiles are significant at the 90% confidence intervals. be owing to the different responses of vegetation to precipitation deficit. The less the total energy used by transpiration, the more energy is available for sensible heating, and that would induce a larger increase of near-surface air temperature [Seneviratne et al., 2010]. As the relationship between summer precipitation deficit and hot extremes is much stronger in the region with lower positive AACWB, the transpiration in that region should be less when responding to precipitation deficit. Besides, for the region with more annual precipitation, the more basic elements such as calcium, magnesium, sodium, and potassium held by soil colloids are leached by the precipitation, and they are replaced by hydrogen ions; then the soils are inherently more acidic in this region and vice versa. It can be seen from Figure 6 that the region with near-zero AACWB corresponds to the region with neutral soil with pH about 7 (Figure 6a), and the pH generally decreases with the increase of AACWB (Figure 6b). So these further verify that there are less basic ions in the soil at the region with the higher positive AACWB. It has already been well known that the plants need to absorb mineral nutrients to increase the suction pressure in the root cell to Figure 6. (a) Spatial distribution of subsoil pH in China (areas with no data are depicted in white) and (b) the relationship with the AACWB. ZHANG ET AL. RAINFALL DEFICIT-TEMPERATURE COUPLING 10,047 Journal of Geophysical Research: Atmospheres 10.1002/2015JD023830 absorb water from soil solution to root xylem and which are then used for the transpiration. In this case, when suffered from precipitation deficits, due to the higher concentration of soil solution in the region with lower positive AACWB, the plants need to absorb more mineral nutrients to keep the suction pressure in the root cell, especially during the extreme precipitation deficits. However, it has been found that roots absorb greater amount of ions at a greater rate in dilute solutions of soil than in a relatively high concentration solutions which is called “dilution effect” [Davis, 2009; Jarrell and Beverly, 1981]. Then there will be more reduction of the vegetation transpiration in the region with lower positive AACWB, especially during the extreme precipitation deficits. However, the physiological mechanisms behind vegetation response to the precipitation deficits still need to be further analyzed. And a similar influence of the AACWB on the biomes responding to drought has also been identified by Vicente-Serrano et al. [2013] that arid and humid biomes respond to drought at shorter timescales, while semiarid and subhumid biomes respond to drought at longer timescales. 5. Conclusions The relationship between summer precipitation deficit and hot extremes in China is investigated using the quantile regression technique. Results indicate that the 3 month SPI can be selected as a proxy of precipitation deficit for all subregions in China. Similar to the results of Meng and Shen [2013], summer hot extremes are negatively correlated with precipitation deficit and the relationship is stronger for the higher end of the distribution of summer hot extremes. Acknowledgments This work is financially supported by the National Science Foundation for Distinguished Young Scholars of China (grant 51425903), the Xinjiang Science and Technology Planning Project (grant 201331104), and the Natural Foundation of Anhui Province (grant 1508085MD65) and is fully supported by a grant from the Research Grants Council of the Hong Kong Special Administrative Region, China (project CUHK441313). Daily precipitation and daily temperature data in China are obtained from the National Meteorological Information Center of the China Meteorological Administration in the website http://www.cma.gov.cn/ 2011qxfw/2011qsjgx/, and the subsoil (30–100 cm) pH data are extracted from the Regridded Harmonized World Soil Database v1.2 provided by the Oak Ridge National Laboratory Distributed Active Archive Center (http://daac.ornl. gov/cgi-bin/dsviewer.pl?ds_id=1247). Detailed information such as data can be obtained by writing to the corresponding author at zhangq68@mail.sysu.edu. cn. The last but not the least, my cordial gratitude should be extended to the Editor, L. Ruby Leung, and three reviewers for their careful reviewing and their pertinent and professional comments and suggestions which are greatly helpful for further improvement of the quality of this paper. ZHANG ET AL. Furthermore, the influence of soil moisture regimes on the relationship between precipitation deficit and summer hot extremes is quantitatively analyzed. Results indicate that the relationship between summer precipitation deficit and hot extremes tends to be enhanced when the negative AACWB draws toward zero, while it tends to be weakened with the increase of positive AACWB. For the region with the negative AACWB that draws toward zero, the enhanced relationship should be attributed to the increase of the proportion of latent heat compared to the absorbed total energy. However, the characteristics of weakened relationship with the increasing of positive AACWB may be owing to the different responses of vegetation to precipitation deficit. The less the total energy used by plants’ transpiration, the more energy is available for sensible heating, which would induce a larger increase of near-surface air temperature [Seneviratne et al., 2010]. 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