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--> --> -->The properties of cloud are generally associated with cloud types, and the climate effects caused by various cloud types differ greatly; in some circumstances they are even totally opposite. For instance, high cloud has a warming effect on the surface, as opposed to the cooling effect of low-level clouds (IPCC, 2013). Unfortunately, cloud profiles are poorly understood at present and remain a primary source of uncertainty in global weather and climate studies (Stephens, 2005).
The retrieval of cloud profiles relies primarily on satellite- (e.g., Minnis and Harrison, 1984; Morel and Senesi, 2002) and surface-based observations (e.g., Dong et al., 2006). The advent of spaceborne active cloud radar (e.g., CloudSat) has allowed for a better portrayal of cloud vertical structure on both regional and global scales, making it one of the most popular data sources for cloud studies (Stephens et al., 2002; Sassen and Wang, 2008; Naud et al., 2010; Evan and Norris, 2012; Chen et al., 2016).
Cloud-base height (CBH) is an important cloud macrophysical parameter, strongly affecting the energy exchanges between the cloud layer and the ground surface (Wild, 2012). Using the cloud profiles and CBH data determined from the active-sounding measurements of CloudSat and CALIPSO has helped resolve the long-standing debate over the underestimation of thermal back-radiation, which has been updated from the previous estimate of 324 W m-2 (Kiehl and Trenberth, 1997) to around 345-350 W m-2 (Kato et al., 2011; Stephens et al., 2012). However, thin clouds cannot be accurately identified by the cloud profiling radar onboard CloudSat (Marchand et al., 2008). A recent study indicated that large uncertainties exist in the CBH from CloudSat-CALIPSO data, based on comparison with ground-based active remote sensing of cloud (Zhang et al., 2017b).
In comparison to satellite measurements, ground-based cloud observations based on instruments such as cloud radars, lidars (e.g., Borg et al., 2011) and ceilometers (e.g., Martucci et al., 2010; Costa-Surós et al., 2009), can provide CBH measurements with higher accuracy and continuous temporal coverage (Sharma et al., 2016). In North America, an automated observation system employs ceilometers to observe cloud. However, these ceilometers observe cloud at a cutoff range, generally lower than 4 km (Dai et al., 2006). In other parts of the world, these instruments are generally deployed at very few locations. Fortunately, radiosondes can also penetrate cloud layers to provide in-situ measurements such as temperature, relative humidity and pressure, which are fundamental to estimating the profiles of atmospheric and cloud properties (Poore et al., 1995; Zhang et al., 2010). More importantly, operational radiosonde networks make it possible to retrieve the CBH over a large scale. For example, (Wang and Rossow, 1995) successfully obtained the cloud vertical structure based on relative humidity (RH) sounding data alone, and (Chernykh et al., 2001) analyzed worldwide long-term cloud-base and -top height trends based on RH and temperature sounding data.
Warren et al. (1986, 1988) produced a database from surface land stations and ship measurements and compiled a climatology of CBH over land and ocean by focusing on different cloud types (Warren et al., 2007; Eastman et al., 2011; Eastman and Warren, 2014). (Sun et al., 2007) comprehensively analyzed the temporal trend of cloud-top heights and frequencies over the United States since the early 1950s, based mainly on human observations at weather stations. (An et al., 2017) interpreted the diurnal, seasonal and interannual variability of the CBH over the contiguous United States based on an automated surface observing system.
However, notwithstanding a few CBH studies (e.g., Zhang et al., 2010) that were limited to a specific region of interest in China, no attempt (to the best of our knowledge) has been made to examine the climatology of CBH across China from long-term sounding observations from the China Radiosonde Network (CRN; Guo et al., 2016b). Accordingly, the main goals of the present study were to estimate the CBH with a robust method, and then elucidate the spatial and temporal characteristics of the CBH across China based on long-term soundings from the CRN. The remainder of the paper is organized as follows: Section 2 describes the data and the methods employed in this study. The uncertainty of the CBH estimation method is analyzed and discussed in section 3, followed in the same section by an analysis of the climatology, diurnal variation and seasonal differences of the CBH across China. The main conclusions are summarized in section 4.
2.1. Sounding data
The operational CRN consists of 120 sites equipped with L-band sounding systems, including GFE (L) 1 secondary wind radar and GTS1 digital electronic radiosondes (Guo et al., 2016b). The new-generation GTS1 digital radiosonde takes measurements of temperature, pressure, RH, wind speed, and wind direction twice a day [at 0800 Local Standard Time (LST, UTC+8) and 2000 LST], with a sampling frequency of once every 1.2 seconds. The vertical resolution varies from site to site, and from sounding to sounding at the same radiosonde site. A previous intercomparison of GTS1 against Vaisala RS80 indicated that they are in good agreement in terms of their profile measurements in the troposphere, despite a large bias in the upper atmospheric levels (Bian et al., 2011).The setup of CRN dates back to 2002 when the China Meteorological Administration decided to upgrade existing radiosonde instruments; however, the GTS1 radiosonde at 14 sites only officially came into operation in 2006, as illustrated in Fig. 1. The L-band sounding systems with GTS1 radiosondes began to be widely deployed in 2007 across China, and had gradually expanded to 120 operational radiosonde stations by 2011. As such, each site of the CRN with GTS1 radiosonde data differs in their period of coverage (Fig. 1b). Overall, roughly 60% (97%) of radiosonde sites have more than 10 (6) years of L-band sounding data, which provides an even distribution across China and sufficient samples to characterize the climatology of the CBH from sounding data.
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Therefore, the sounding data collected from the CRN during the period 1 December 2006 to 31 December 2016 were used to estimate the CBH across China. In summer (June-July-August), two additional soundings were launched (at 0200 LST and 1400 LST) to improve the predictability of high-impact weather at selected sites of the CRN, depending on the locations of large-scale synoptic weather systems. In this way, we in total made use of 421 729 profiles across China, including 1979 profiles at 0200 LST, 208 445 profiles at 0800 LST, 9726 profiles at 1400 LST, and 201 579 profiles at 2000 LST.
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2.2. Methods
Cloud generally forms at an RH of about 100%. It is, however, rarely observed in radiosonde observations for the reasons listed in (Wang and Rossow, 1995). In particular, the thermal lag tends to result in lower-than-normal RH values by about 3%, which is mainly caused by the temperature in the hygristor element being roughly 1°C above the ambient temperature as the radiosonde passes through the cloud layer (Garand et al., 1992). Regarding the hygristor inside the GTS1 of the CRN, the abovementioned thermal lag is too serious to be used to detect the cloud top (Bian et al., 2011). This is why the cloud top height was not investigated in this study.In our analysis, the method proposed by (Wang and Rossow, 1995) was modified to better detect the cloud base, given the high temporal vertical resolution (1.2 s). First, the soundings under rainy conditions (rainfall amount >0.1 mm) were excluded from the cloud-base detection. On average, 6.49% of all soundings witnessed valid precipitating events for all of the sounding hours during the period 2006-16 [Fig. S1 in electronic supplementary material (ESM)]. Therefore, the treatment of rainy sounding at missing value is reasonable. Then, the cloud base was determined by taking the following three steps: (1) the base of the lowest moist layer was determined as the average altitude where the minimum RH greater than 84% reached for at least four consecutive valid measurements; (2) an at least 3% jump in the RH could be seen from the adjacent lower level; and (3) the minimum CBH was set to 600 m above ground level (AGL) to avoid the noise caused by drizzle or rainfall below the cloud. In this way, RH profiles for all valid soundings were examined from 600 m AGL to the top to determine cloud bases.
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To understand the frequency distribution of cloud with various CBH, the sounding-derived CBH retrievals were grouped into three height intervals: 0.6-2 km; 2-3.6 km; and above 3.6 km, with the 0.6-2-km category representing low cloud (Sun et al., 2007). Due to the spatial inhomogeneity, all sites were interpolated onto a regular 5°× 5° grid. Then, the CBH for each grid was calculated by simply averaging the available site data within the grid. In this way, any potential biases resulting from the spatial inhomogeneity of the radiosonde sites was minimized (Fig. 1a).
3.1. Uncertainty analysis
The estimated CBH depends on the RH threshold values, which inevitably induces uncertainty in the CBH climatology. Uncertainty analysis, therefore, is imperative, and this is achieved by investigating the magnitude of changes in the CBH due to the selection of various critical RH thresholds.Accordingly, scatterplots were produced that compare the CBH calculated using 84% and 83% as the critical RH versus those calculated using 84% and 85%. As expected, Figs. 2a and b show that the CBH based on RH = 85% (83%) is typically higher (lower) than that based on RH = 84%. However, the CBHs calculated using various RH thresholds are significantly correlated (R=0.987). Figures 2c and d illustrate the absolute and relative uncertainties, respectively, as a function of CBH (RH = 84%). Most of the 50th and 75th percentile values of the absolute uncertainties are <0.02 km and <0.03 km, respectively; and the 50th and 75th percentile values of the corresponding relative uncertainties are both <10% for CBH (RH = 84%) >2 km, and <20% for CBH (RH = 84%) within 1-2 km. In this sense, the uncertainty induced by the selection of the RH threshold is negligible.
But what about the accuracy of the CBH estimated from the chosen RH threshold? Based on a field campaign carried out by our group last summer in Xingtai (37.05°N, 114.48°E), Hebei Province, China, we took the CBH retrievals for May 2016 from the micro-pulse lidar (MPL) and millimeter-wave cloud radar (MMCR) implemented at Xingtai and compared them with the estimated CBHs from the radiosonde data. Figure S2 shows a comparison between the CBHs retrieved from MPL and MMCR and those from the radiosonde data on 25 May 2016. It can be seen that the difference in the CBH between the two data sources is quite small during the daytime, and in both cases the sky turns overcast after 2000 LST, suggesting a dominance of stratus cloud. Therefore, the CBH detected by radiosonde is comparable to that derived from the MPL under this condition. More specifically, the CBH from MPL is 5156 m when averaged over the three minutes centered on the minute when the radiosonde detects the CBH, with a value of 4950 m. Therefore, the CBH results are in good agreement. Other cases throughout the field campaign at Xingtai from 15 May to 15 June 2016 were also examined (Fig. S3), the results of which verify that the CBH retrievals from MPL and radiosonde observations are consistent (R=0.998).
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3.2. Geographic distribution and seasonality of CBH in China
Figure 3 presents the geographic distribution of CBH derived from the 0800 LST radiosonde observations for the whole period from 2006 to 2016. Clearly, the CBH at 0800 LST does not exhibit strong latitudinal dependence. However, some strong spatial and seasonal variation stands out. On average, the CBH reaches its peak (2.99 1.2 km) in summer, followed by spring and fall, whereas the lowest CBH (2.38 1.1 km) is observed in winter. The strong contrast in CBH between summer and winter could be caused by the discrepancy in solar radiation reaching the surface. In addition, the lowest mean CBH found in winter is likely associated with the lowest temperature, which makes it easy for water vapor to condense or coalesce/collide to form cloud droplets under upward motion conditions, leading to a low cloud-top height.
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Spatially, most sites in southwestern China, including the Tibetan Plateau (TP), Pearl River Delta (PRD) and Sichuan Basin (SCB), have a relatively low CBH (<2.4 km AGL). Most sites in the Yangtze River Delta (YRD) and North China Plain (NCP) have a CBH greater than 3.6 km AGL in spring and summer, which is on average 0.6 km lower than that in fall and winter. In Northeast China, the summertime cloud can form at altitudes greater than 3.0 km——higher than the cloud in spring, fall and winter. Likewise, a peak in CBH can be seen in Inner Mongolia in summer, which is generally higher than 3.0 km AGL.
Similar to 0800 LST, the spatial variation of CBH at 2000 LST also does not exhibit distinct latitudinal dependence. Moreover, the spatial distributions of the 2000 LST CBH bear resemblance to those of the 0800 LST CBH, and the magnitude of the mean CBH in the four seasons changes little (Fig. 4). In terms of CBH seasonality, the springtime mean CBH is 2.86 km, which is slightly lower than that in summertime (2.92 km), and most radiosonde sites in winter have the lowest CBH. More specifically, the PRD has the lowest CBH in winter, and the CBH in NCP is highest in spring. The CBH diurnal and seasonal features in China are generally consistent with those obtained in the contiguous United States (An et al., 2017), which means that the geographic distribution of CBH in different seasons and at different times of the day have similar patterns.
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3.3. Frequency distribution of CBH
Figure 5 shows the spatial distributions of CBH frequency for cloud bases within various altitudes at 0800 LST and 2000 LST during the period 2006-16. One striking feature is that the TP, PRD, and SCB are characterized by a high frequency (>70%) of low cloud base (0.6 km < CBH<2.0 km), suggesting cloud tends to form at low altitude. In contrast, at most sites of the YRD and NCP, about 40%-50% of cloud starts to develop at altitudes greater than 3.6 km AGL, for both the 0800 and 2000 LST observations, indicating it is difficult for cloud to form in the lower atmospheric boundary layer. Mid-level cloud (2.0 km < CBH<3.6 km) can be frequently (about 40%-50%) observed at most sites in Xinjiang Uygur Autonomous Region (Figs. 4c-d). For almost all sites in Southeast China, less than 30% of CBHs belong to mid-level cloud, at both 0800 and 2000 LST, due to their CBHs ranging between 2.0 km and 3.6 km AGL.To improve the forecasting accuracy of high-impact stormy weather in summer, atmospheric profile measurements at 0200 LST and 1400 LST are required at most sites of the CRN, in addition to the usual operational soundings at 0800 LST and 2000 LST. Figure 6 presents frequency histograms for the CBHs at 0200 LST, 0800 LST, 1400 LST, and 2000 LST during the period 2006-16 for all radiosonde sites in China. As also can be seen, 50% of valid CBH retrievals are less than 2.4 km AGL, which is slightly higher than 2.0 km for the CBHs at 2000 LST. On average, the frequency distribution of CBHs at 0200 LST is quite similar to that at 1400 LST. That is, about half of the CBHs are less than 1.6 km AGL.
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3.4. Diurnal variation of CBH
The additional one or two soundings (i.e., 0200 LST and 1400 LST) at some sites of the CRN provide us with a unique opportunity to investigate the diurnal cycle of CBH across China from a radiosonde perspective. Figure 7 shows the spatial distributions of average CBH at 0200 LST, 0800 LST, 1400 LST and 2000 LST for the period 2006-16. Overall, the average CBH at 0200 LST and 1400 LST is slightly lower that that at 0800 LST and 2000 LST. Our understanding is that the soundings at 0200 LST and 1400 LST are mainly launched under atmospheric conditions favorable for the initiation and development of precipitation, which will inevitably lead to the more frequent occurrence of low precipitating cloud. This at least accounts for the lower CBH observed at 1400 LST despite the stronger solar-radiation induced convection in summer.Interestingly, we can still see a distinct spatial discrepancy in the CBH at 1400 LST, which is the same as that obtained at 0800 LST and 2000 LST. For instance, most of the sites on the NCP, and in Xinjiang, are characterized by high CBH, which is generally greater than 3.0 km AGL. The lowest CBH at 1400 LST tends to occur in the PRD, which is lower than 1.2 km AGL.
As for the annual average CBH at 0800 LST, the maximum CBH tends to occur on the NCP and in the YRD, as opposed to the minimum CBH seen on the TP. In terms of the geographic distribution of the annual average CBH at 2000 LST, the contrast does not change too much.
Accounting for the large longitudinal difference (63°E) between the radiosonde sites of the CRN, the time when the CBH is calculated had to be converted to LST, which should better represent the diurnal cycle of CBH. Putting all the CBHs together, the height-resolved frequency distributions of CBH during the course of a day for the period of 2006-16 were calculated for all radiosonde sites of the CRN (Fig. 8). On the whole, a gap exists due to the scarcity of valid CBH retrievals at 0300, 0400, 1000, 1600, 2200, 2300 and 2400 LST. In particular, more low cloud (CBH <2.0 km) tends to form at 0100, 0800, 1400, 1900 and 2000 LST, as compared with that at other times. The frequency distribution more or less reveals the zonal distribution of the radiosonde sites of the CRN.
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Overall, CBH does not show any distinct latitudinal dependence; rather, it exhibits large spatial variability across China, at both 0800 LST and 2000 LST, for all seasons. In particular, the highest cloud tends to occur in relatively dry regions, such as Inner Mongolia, Xinjiang, and the NCP. In contrast, the TP, YRD and SCB have relatively low CBH (<2.4 km AGL). Meanwhile, the CBH also exhibits large seasonal variability; peak CBH is found at most sites of the CRN in summer, followed by spring and fall, with the lowest CBH observed in winter. On average, roughly 70% of cloud belongs to low cloud over the TP, YRD and SCB, due to the mean CBH being less than 2.0 km AGL. In contrast, at most sites of the YRD and NCP, about 40%-50% of cloud develops to high altitude. Interestingly, no marked diurnal cycle can be found for CBH across all sites of the CRN, most likely due to the extra soundings at 1400 LST in summertime launched for improving the numerical forecasting of high-impact weather.
This study is just the first step in an attempt to fully understand the spatial and temporal distribution of CBH in China, which will provide a viable approach to obtain observational cloud-base information. Such information will in turn assist in better quantifying the cloud response to the increased aerosol pollution in recent years (Guo et al., 2011). However, the factors accounting for such a large spatial discrepancy have not been fully analyzed, which merits further detailed investigation in the future. In addition, more insight should be gained into the true diurnal cycle of CBH if more routine 1400 LST sounding observations become available.