Journal of Arid Environments 74 (2010) 1616e1623 Contents lists available at ScienceDirect Journal of Arid Environments journal homepage: www.elsevier.com/locate/jaridenv Partitioning of evapotranspiration and its relation to carbon dioxide fluxes in Inner Mongolia steppe X. Huang a, Y. Hao a, *, Y. Wang a, Y. Wang b, X. Cui b, X. Mo c, X. Zhou b a College of Life Sciences, Graduate University of the Chinese Academy of Sciences, YuQuan Road 19, Beijing 100049, China College of Resources and Environment, Graduate University of the Chinese Academy of Sciences, YuQuan Road 19, Beijing 100049, China c Institute of Geographic Sciences and Natural Resources Research, Chinese Academy of Sciences, Beijing 100101, China b a r t i c l e i n f o a b s t r a c t Article history: Received 13 July 2009 Received in revised form 13 June 2010 Accepted 27 July 2010 Available online 23 August 2010 A process-based model (VIP model) was used to partition evapotranspiration (ET) into transpiration (T) and evaporation (E). Gross ecosystem productivity (GEP) and ecosystem respiration (Re) were calculated based on CO2 fluxes measured by eddy covariance in a typical steppe. The results revealed that the water and CO2 fluxes were low before the growth of vegetation in the spring. During the growth period, plant transpiration was found to account for 33e74% of the total ET. Additionally, the variations in daily net ecosystem exchange (NEE) and GEP were found to be correlated with precipitation and T, but not ET during the study periods. The peak responses of Re to rain events lagged by 1e2 days when compared to the evaporation peak. The leaf area index (LAI) primarily regulated the changes in water use efficiency (WUE). Taken together, the results of this study indicated that the development of vegetation and the pattern of precipitation worked in concert to regulate the components of water and carbon fluxes and their coupling. Ó 2010 Elsevier Ltd. All rights reserved. Keywords: Eddy covariance Evaporation Model Precipitation pulse Transpiration 1. Introduction Arid and semiarid ecosystems are particularly vulnerable to climate variability, the most important component of which is water availability (Zhang et al., 1997). Because water is a major determinant of hydrological and biogeochemical processes, evaluation of the patterns of soil water availability and their effects on the ecosystems are important research topics (Dunne et al., 1991; Noy-Meir, 1973; Reynolds et al., 2000, 2004; Scott et al., 2006; Whitford, 2002). The development of potential vegetation type and production is also closely associated with soil water availability (Huxman et al., 2004). In turn, vegetation type and geomorphology interact to influence water partitioning following precipitation in different hydroclimatic zones (Scott et al., 2006). In these regions, the response of major ecological and biogeochemical processes to future climate conditions is mediated by the spatio-temporal variations in soil water resource supply. Thus, to predict how these systems respond to climate change and other disturbances, we must understand how water availability and productivity are coupled over the long-term in these regions (Huxman et al., 2004; Reynolds et al., 2000; Risch and Frank, 2007; Scott et al., 2006). * Corresponding author. Tel.: þ86 10 88256066. E-mail address: [email protected] (Y. Hao). 0140-1963/$ e see front matter Ó 2010 Elsevier Ltd. All rights reserved. doi:10.1016/j.jaridenv.2010.07.005 In water-limited grassland ecosystems, small water-associated variations in CO2 fluxes could have a considerable effect on the ecosystem carbon cycle (Scott et al., 2006). However, our current understanding of soil water availability and plant and atmospheric interactions in these ecosystems is limited (Reynolds et al., 2000). For example, conflicting evapotranspiration investigations conducted using different experimental methods and in different locations have prevented understanding the importance of factors that control the timing and amounts of water lost as transpiration vs. evaporation Additionally, due to the complicated properties within and between soils (structure, infiltration, and root zone), vegetation (physiological production, phenology etc.) and short study times, it is difficult for experimental studies to quantify the magnitude and importance of these interactions, particularly over the long-term. In the present study, we applied a modeling analysis that focused on several key components of this ecosystem and was designed to examine how biotic (plant) and abiotic (precipitation) factors interact to affect the loss of soil water (evapotranspiration) and long-term carbon fluxes in an arid and semiarid grassland ecosystem. Specifically, we measured ecosystem-scale evapotranspiration (ET) and net ecosystem exchange (NEE) in the Inner Mongolia Steppe, China, and then used a process-based ecosystem model to separate ET into transpiration (T) and evaporation (E). We partitioned the daily total ET into E and T, paying particular X. Huang et al. / Journal of Arid Environments 74 (2010) 1616e1623 attention to days following different sized rainfall events. We then analyzed the coupled response of evaporation and transpiration and their covariation with respiration and GEP using this unique dataset. Specifically, this study was intended to answer the following questions: (1) how do the relative amounts of transpiration and evaporation in the study area vary from year to year? (2) What was the relationship between key ecosystem component fluxes and the water and carbon balance of a spatially extensive semiarid ecosystem? 2. Materials and methods 2.1. Model description The Vegetation Interface Process (VIP) model was used to calculate evaporation (E) from the soil surface and canopy transpiration (T). The ratio of E/T was then used to decompose ET, which was measured using the eddy covariance method as described below. The VIP model was designed to simulate canopy carbon assimilation, radiation absorption, and energy partitioning into heat fluxes and soil moisture and thermal dynamics. The model had been widely applied to crops and catchments by Mo and Liu (2001) and Mo et al. (2004, 2005) and was validated in this study site by comparing the simulated and observed parameters including daily evapotranspiration and net radiation in three continuous years (Wang et al., 2008, detail see Appendix). In the VIP model, the features associated with heat fluxes include: (1) Division of the canopy into sunlit and shaded leaf groups for energy partitioning; (2) Prognostic equations for energy balance at the canopy and below the soil surface based on the PenmaneMonteith double-resource model (Mo et al., 2004); (3) Partitioning of the soil into three layers and simulation of the soil water changes using the soil moisture conductivity. In the doubleresource energy balance model, canopy transpiration latent heat flux (LEc) and direct evaporation from the intercepted water and soil evaporation latent heat flux (LEs) were described as follows: LEc ¼ LEs ¼ DRnc þ rCp D0 =rac Dþg 1þ rc rac 1 Wfr DðRns GÞ þ rCp D0 =ras Dþg 1þ rs ras (1) (2) where Ec and Es are the canopy transpiration and direct evaporation from soil evaporation, respectively, and correspond to T and E used elsewhere in the text; L is latent heat of vaporization, G was soil heat flux, Rnc and Rns are the net radiation absorbed by the canopy and soil, respectively. In addition, D is the slope of the temperatureesaturated vapor pressure curve, g is the psychrometric constant, r is air density, Cp is the air specific heat capacity under constant pressure, rac and ras are aerodynamic resistances, rc is canopy resistance, and rs is soil resistance. D0 is the air vapor pressure deficit at the reference height (2 m above the canopy), which indicated the difference in the vapor pressure at the saturation point and actual air at that height. Wfr is the fraction of day length consumed by wet canopy evaporation. The mean daytime canopy surface conductance (gcan, measured in m s1) was calculated as follows: gcan ¼ gLEga DðRn GÞ þ rcp VPD LEðD þ gÞ (3) where ga is the aerodynamic conductance calculated using MonteitheUnsworth equation: ga ¼ u 2 u* 1617 1 þ 6:2u* 0:67 (4) where u is the mean wind speed and u* is the friction velocity. 2.2. Site description and datasets The experimental site was located within the Inner Mongolia Grassland Ecosystem Research Station in the Xilin River Watershed of the Inner Mongolia Autonomous Region (43 320 N, 116 400 E, 1200 m a.s.l.). The study site, which covers 400 600 m, has been fenced off since 1979 and was located on a smooth wide plain that contains low hills. The tops of the low hills were 20e30 m above the surrounding plain, and the hills have slopes of <5 . The area has a semiarid continental temperate steppe climate characterized by dry springs and humid summers. The average annual temperature was 0.4 C, and the growing season was 150e180 d. The annual precipitation ranges from 320 to 400 mm, with most rainfall occurring from June to August. The experimental site contains dark chestnut (Mollisol) soil with a depth of 100e150 cm (Wang and Cai, 1988). The soil moisture was 0.29 m3 m3 and 0.12 m3 m3 at field capacity and the wilting point, respectively. The A horizon was 20e30 cm deep and there was no obvious CaCO3 layer in the soil profile. The mean soil composition was 21% clay, 60% sand, and 19% silt. Of the 86 flowering plant species, which belong to 28 families and 67 genera, 11 were grass species (Jiang, 1985). The xeric rhizomatous grass, L. chinensis (Trin.) Tzvelev (syn. Aneurolepidium chinensis (Trin.) Kitagava), was the constructive species, and S. grandis Smirnov, Koeleria pyramidara (Lam.) P. Beauv (syn. K. cristata (L) Link), and Agropyron cristatum (L.) Gaertn. were the dominant species. The height of the grass clusters ranges from 50e60 cm, and the average coverage is 30e40%, but can reach 60e70% during rainy years. Litter has been accumulating since 1979 due to enclosure and exclusion of grazing in the site. An eddy covariance system was utilized to continuously measure carbon dioxide (CO2) and water fluxes in the grassland. The fetch was calculated to be approximately 200 m using a Markovian simulation footprint model based on the predominant wind directions (Leclerc and Thurtell, 1990). Sensible heat, latent heat, and CO2 fluxes were measured at 2.2 m above the ground using a 3D sonic anemometer (CSAT3, Campbell Scientific Inc., MS, USA) in combination with an open path infrared CO2/H2O gas analyzer (LI-7500, LI-COR Inc. NE, USA). The eddy covariance measurements were taken at a frequency of 10 Hz, and the turbulent fluxes from January 2003 to December 2006 were recorded on a datalogger (CR5000, Campbell Scientific Inc.) as half-hour averages. Other auxiliary micrometeorological variables were measured at a site close to the EC (Eddy Covariance) system. Air temperature (Ta), humidity, wind speed, photosynthetic active radiation (PAR), net radiation (Rn), soil heat flux (G), and soil temperature (Ts) were also measured. Soil moisture was monitored using time domain reflectometry (TDR). All data were logged every 30 min using a digital datalogger (CR23X, Campbell Scientific Inc.). 2.3. Data processing The measurement of the leaf area index (LAI) and biomass has been described in detail in a previous study (Hao et al., 2007). All flux and meteorological data collected were quality controlled (Lee and Fuentes, 1999). Roughly 20% of the data obtained from our EC system were discarded, which was similar to most Fluxnet sites. The gaps due to discarded data and instrument malfunction were filled using the MDV (Mean Diurnal Variation) (Falge et al., 2001) 1618 X. Huang et al. / Journal of Arid Environments 74 (2010) 1616e1623 and interpolation methods (Aubient et al., 2002; Baldocchi et al., 2001; Xu and Baldocchi, 2004). The integral daily Net Ecosystem Exchange (NEE) was decomposed into ecosystem respiration (Re) and Gross Ecosystem Production (GEP) by Eqs. (5)e(7). GEP ¼ Re NEE a (5) Daily ecosystem respiration Re was composed of daytime respiration (Re,day) and nighttime respiration (Re, night): Re ¼ Re;day þ Re;night b (6) The nighttime respiration, which was the nighttime net exchange measured by the eddy covariance system, was fitted to the following equation (Mielnick et al., 2005): (7) EWUE ¼ P NEE P ET (8) and plant canopy-scale water use efficiency (PWUE) as: PWUE ¼ P GEP P T (9) 3. Results and discussions 3.1. Environmental conditions and evapotranspiration partitioning Variations in the daily average soil water and air temperature from 2003 through 2006 are shown in Fig. 1. The annual maximum air temperatures were all observed in August and ranged from 22.8 to 25.7 C, while the minimum air temperature occurred in Jan. or Feb. and ranged from 27.67 to 30.04 C (Fig. 1(a)). The air temperature during the growing season was higher in 2005 (15.51 5.21 C) than during the other three years (14.60 4.42 C for 2003; 14.70 4.65 C for 2004; 15.42 4.83 C for 2006). Temporal variation in the soil moisture was more pronounced at 5 cm than at 20 cm (Fig. 1(b)). The volumetric soil water content ranged from 0.27 m3 m3 to 0.05 m3 m3 at 20 cm, with obvious water stress being observed in 2005 and lasting through the entire growing season. The daily variation in soil moisture responded briefly to precipitation; however, it took less than 10 rain-free days for soil moisture at 5 and 20 cm to decline to near pre-event levels. Only large rain events (>24 mm in 1 day or >20 mm rainfall for multiple days) resulted in the soil moisture at 20 cm increasing. The changes in soil moisture at the shallow surface were partially attributed to the high evaporation demand, frequent antecedent dry conditions, and high Ta, as well as the high intensity rainfall, excess infiltration rates and run-off (Cable, 1980; Sala and Laurenroth, 1982; Scott et al., 2006). Fig. 1. Annual variation in daily air temperatures (a), average volumetric soil moisture and precipitation (b) from 2003 to 2006. ET was strongly associated with precipitation and soil moisture in rainfed ecosystems (Hao et al., 2007; Mielnick et al., 2005; Risch and Frank, 2007). ET, vegetation transpiration (T) and bare-soil evaporation (E) in the study area reflected the pattern of rainfall and the soil moisture pulse (Fig. 2). Prior to the rainy growing season, both ET and T were approximately zero (Fig. 2). At the beginning of the rainy growing season (May), E dominated ET except for in 2006, accounting for 54%, 67% and 57% of ET in 2003, 2004 and 2005, respectively (Table 1). These findings were similar to the results of a study of the Chihuahuan desert shrub ecosystem (Scott et al., 2006). Later in the season, following soil freeze, ET and T declined to zero. Throughout the study period most rain fell during June, July and August (Table 1). Additionally, transpiration accounted for approximately 70% of the monthly ET during these three months in each year evaluated, except for 2005. This occurred because the vegetation became highly active during this period (Hao et al., 2008), which resulted in increased extraction of water from the soil (Fig. 1(b)). Transpiration and evaporation was almost equal in July and August of 2005, during which time rainfall was much lower than in the other three years. In the other nine months of the year, the majority (60e80%) of water lost from the steppe was lost 5 2003 -1 where a, b and c are constants, Ts is the soil temperature ( C) at a depth of 0.05 m, and qv is the volumetric soil water content at 0e20 cm. The complete dataset (all years) was used to determine the best-fitted coefficients of the model (a ¼ 6.42, b ¼ 0.087, c ¼ 1.46). Soil water content was bound to the minimum (0.08) and maximum (0.30) qv values in the dataset to exclude situations in which the soil CO2 flux was limited by extremely dry and wet conditions. Eq. (7) was extrapolated to estimate Re,day using Ts and qv observed in daytime, assuming the function between respiration and the two soil parameters was the same in the day and at night. We defined ecosystem water use efficiency (EWUE) as (Scott et al., 2006): Evapotranspiration or evaporation(mm d ) c Re;night ¼ aeðbTs Þ 2:12 ðqv minqv Þ ðmaxqv qv Þ 2006 2005 2004 T ET 4 3 2 1 0 150 301 87 238 23 174 325 111 263 DOY Fig. 2. Daily evapotranspiration (ET) and evaporation (E) in the four study years. X. Huang et al. / Journal of Arid Environments 74 (2010) 1616e1623 1619 Table 1 Monthly total water and carbon fluxes. * mean average values of each variable during growing seasons from 2003 to 2006 over Inner Mongolia Steppe, China. P (mm) ET (mm) T (mm) E (mm) LAI (m2 m2) T/ET NEE (g cm2) GEP (g cm2) Re (g cm2) 2003 May June July August September MayeSeptember 57.9 40.7 114.8 79.7 61.2 354.3 39.2 55.0 74.8 78.8 40.4 288.2 18.1 36.0 54.2 58.6 22.4 189.3 21.1 19.0 20.6 20.2 18.0 98.9 0.38 0.75 1.27 1.39 0.65 0.88* 0.46 0.65 0.72 0.74 0.55 0.62* 6 37 22 13 9 75 17 69 69 52 30 237 23 32 47 39 21 162 2004 May June July August September MayeSeptember 29.5 73.6 61.9 120.8 58.5 344.3 35.7 58.2 69.6 66.6 43.9 274 11.9 38.5 48.6 47.3 22.9 169.2 23.8 19.7 21.0 19.3 21.0 104.8 0.30 0.84 1.13 1.54 0.68 0.90* 0.33 0.66 0.7 0.71 0.52 0.58* 17 2 38 67 24 114 2 38 86 117 51 294 19 36 48 50 27 180 2005 May June July August September MayeSeptember 12.6 38.9 47.0 24.7 2.8 126.0 33.6 41.0 53.6 36.5 12.6 177.3 14.3 22.0 31.2 19.9 5.3 92.7 19.3 19.0 22.4 16.6 7.3 84.6 0.52 0.49 0.56 0.38 0.32 0.45* 0.43 0.54 0.58 0.55 0.42 0.50* 3 3 8 1 15 30 16 27 28 30 1 102 19 30 36 31 14 130 2006 May June July August September MayeSeptember 14.98 76.3 122.9 21.93 39.7 275.8 12.2 46.7 88.0 64.4 37.4 248.7 6.8 24.4 59.6 44.4 22.7 157.9 5.4 22.3 28.4 20.0 14.7 90.8 0.16 0.42 0.64 0.73 0.40 0.47* 0.56 0.52 0.68 0.69 0.61 0.61* 32 2 9 17 3 35 13 39 54 16 27 123 19 37 45 33 24 158 to evaporation. Additionally, high precipitation during the warm summer resulted in increased productivity in the steppe. Most rains only permeated the upper soil layer; therefore, an average of 80% of the total fine root mass was concentrated within 0.30 m of the surface (Chen et al., 2003). Monthly transpiration accounted for 33e74% of evapotranspiration in growing seasons in the study period (Table 1). On an annual basis, transpiration and evaporation contributed equally to ET due to the dormancy of the steppe during winter and high rates of T and E during summer. Song (1995) found that the average T/ET was 75%, but that this ratio declined to 50% in areas near S. grandis communities. However, high seasonal T/ET fluctuation was expected at one site due to climate variability, the soil moisture dynamic and differential plant functional responses (Niu et al., 2000; Reynolds et al., 2000; Song, 1995). Indeed, the seasonal distribution of precipitation was expected to affect the T/ ET. For example, a similar value of rainfall during the 2003 and 2004 growing seasons induced different amounts of seasonal variability in the T/ET (Table 1). Gai et al. (2004) found that the water table was >10 m and no run-off occurred when there was vegetative cover. In the present study, the ratio of total ET to precipitation varied annually, ranging from 81% to 140% during the same periods. During the study period, daily ET, T and E were found to be significantly correlated with LAI, vapor pressure deficit (VPD) and net radiation (Rn) in this ecosystem (Table 2). Specifically, ET and T were strongly correlated with LAI and precipitation. However, E was only correlated with VPD. 3.2. Relationships between components of ET and carbon fluxes Prior to the rainy season (May to September), ET was minimal and NEE was slightly positive. Furthermore, these factors showed seasonal and annual fluctuation (Fig. 3). The variation in NEE during the study period was found to be associated with precipitation, not ET. Additionally, NEE was enhanced by the onset of summer rains. As the vegetation in the steppe ended their dormancy and began to transpire, the NEE was driven down and eventually reflected a net uptake. Daniel et al. (2006) found that discrete precipitation events triggered brief, but important episodes of biological activity in water-limited ecosystems. In the present study, NEE was found to have a systemlevel hysteresis when compared with ET. The dynamics of NEE and ET observed in the present study confirmed Daniel’s findings. However, the steppe ecosystem was opportunistic with the available water resource, and rapidly transformed rain into productivity when under long-term drought stress (e.g. during the drought of 2005). By separating NEE into GEP and Re and ET into E (evaporation) and T (transpiration), interpretation of the mutual relationship becomes easier (Fig. 3). E and Re both spiked in response to precipitation, with Re peaking slightly after E. The temporal differences in these processes may have occurred as a result of independent responses of plants and microbes (Daniel et al., 2006; Huxman et al., 2004) or the increased resistance of CO2 diffusion from the deeper soil layer as a result of water infiltration into the soil surface immediately after rainfall (Conant et al., 2004; Scott et al., 2006), which would explain the peak in activity that occurred several days after the rainfall. During the study period, the changes in GEP Table 2 The correlation coefficients of ET, E, and T and Rn, LAI, VPD, and P and the multiple linear regression equations. Variable LAI VPD P Rn Equation R2 ET E T 0.97 0.78 0.99 0.80 0.90 0.70 0.92 0.75 0.92 0.83 0.88 0.74 ET ¼ 0.93 þ 1.09 LAI þ 0.04 VPD þ 0.05 P þ 0.002 Rn E ¼ 0.69 þ 0.03 LAI þ 0.04 VPD þ 0.055 P þ 0.002 Rn T ¼ 1.61 þ 1.05 LAI þ 0.01 VPD 0.01 P þ 0.001 Rn 0.98 0.88 0.98 1620 X. Huang et al. / Journal of Arid Environments 74 (2010) 1616e1623 3 2003 2004 -2 -1 2006 a a 2 y=0.98+1.01x, R =0.46 6 Re E 1 -2 -1 GEP(gCm d ) -1 CO2 fluxes (gCm d ) or water fluxes (mmd ) 2 2005 0 6 4 NEE ET F b 4 2 2 0 0 -2 -0.5 0.0 0.5 1.0 -4 1.5 2.0 2.5 3.0 3.5 -1 6 GEP T 4 T(m m d ) 5 c b 2 y=1.28+0.82x, R =0.35 4 -2 -1 Re(gCm d ) 2 0 180 231 149 199 249 146 196 251 188 243 DOY Fig. 3. Annual change in daily ecosystem respiration (Re), evaporation (E, a), net ecosystem exchange (NEE), daily evapotranspiration (ET, b), gross ecosystem productivity (GEP), and transpiration (T, c) in the four study years. corresponded with T, and T and GEP had similar responses, although the peaks in GEP seem to precede those in T by 1 or 2 days. These results were likely due to changes in the diurnal pattern of instantaneous photosynthetic gas exchange relative to the maximum achievable photosynthetic rates of individual leaves within a canopy, which influenced the leaf water loss (Scott et al., 2006). Overall, GEP was found to be well correlated with T, while the integrated Re was not correlated with E in any of the study periods (Fig. 4). As expected, changes in soil moisture influenced Re and E differently, especially during drought. This, together with other factors, resulted in failure to calculate Re by Eq. (7) (Christopher et al., 2005; Reichstein et al., 2002b; Scott et al., 2006). However, if we only considered the data from 2003 and 2004 (normal rainfall years), there was a good linear relationship between Re and E (R2 ¼ 0.5, Hao et al., 2007). Fierer and Schimel (2002) found that a frequent dryerewetting cycle induced an increase in the substrate limit, which led to a decreased correlation between Re and E. A strong coupling between canopy conductance for water vapor ðg can Þ and carbon uptake was evident for all years (Fig. 5). The relationship between gross ecosystem exchange (GEP) and canopy conductance for water appeared to be linear over a large range of average conductance. During 2003 and 2004, which had average amounts of rainfall, the canopy achieved higher gross ecosystem exchange rates at the same canopy conductance level than during 2005 and 2006, which were dry years. There was a very strong coupling between carbon and water fluxes, which was manifested as a close correlation between carbon uptake and mean daytime canopy conductance (Table 3). These findings reinforce those of previous studies (Buchmann and Schulze, 1999; Law et al., 2000; Reichstein et al., 2002a; Valentini et al., 1995). 3 2 1 0 -0.5 0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 -1 E(m m d ) Fig. 4. Regression plots of (a) gross ecosystem productivity (GEP) versus daily transpiration (T) and (b) ecosystem respiration (Re) versus daily evaporation (E). vegetation was active (Fig. 6). These were breaks in monsoon rainfall that lasted 10 days or longer, during which time there was little accumulative rainfall (<3 mm) (Hao et al., 2008). Differences among years were observed in the normalized average rate of E and T. During the growing seasons of 2003, 2004 and 2006, when 3.3. Influence of rain pulse on components of ET To quantify the effects of rain pulses and time on the components of ET fluxes, four interstorm periods were selected when the Fig. 5. Gross ecosystem productivity versus mean daytime canopy conductance for the 4 study years. Arrows point to the respective linear regression lines. Statistics of the regression are shown in Table 3. X. Huang et al. / Journal of Arid Environments 74 (2010) 1616e1623 Table 3 Parameters estimated for the linear model describing the CEP gcan relationship during growing seasons (MayeSep.) from 2003 to 2006. Year a b N R2 2003 2004 2005 2006 0.81 0.33 0.32 0.51 0.34 0.97 0.41 0.30 134 134 134 134 0.51 0.90 0.61 0.42 rainfall events occurred, E and T began to increase, reaching the maximum magnitude approximately 1e3 days after the rainfall event. Conversely, there was a decreasing tendency in the daily E and T during periods of prolonged drought. Peak rates were not maintained for long and began to decline rapidly. Additionally, 50% of the original flux was attained after 10 days without rain (Fig. 6). However, the time at which the peak value occurred was different for T and E, with the peak evaporation rate occurring prior to the peak in transpiration during all years evaluated in this study, except for 2005. These results were similar to those of a study conducted in the Chihuahuan desert shrubland (Scott et al., 2006). In 2005, the peak E and T rates had a greater lag time than in other years. In a water-limited ecosystem, ecosystem response was controlled by rainfall scarcity and its intermittent and unpredictable nature. The uncertainty of both the timing and amount of rainfall has induced vegetation to develop different strategies in which the above-ground biomass rapidly decreases and the belowground biomass increases in response to water stress to optimize reproduction and productivity (Hugo et al., 2006; Noy-Meir, 1973; Yoshihiro et al., 2007). The response of GEP and Re to rain pulses 1621 was similar to that of E and T (Hao et al., 2009). A similar response of NEE and ET to precipitation has previously been observed (Hao et al., 2008). 3.4. Water use efficiency The steppe ecosystem absorbed more CO2 during the growing season when there was more precipitation (2003 and 2004) and released more CO2 during the drought growing seasons (2005 and 2006). Overall, the ecosystem appeared to have a neutral position in the carbon budget (Table 1). Rainfall-use efficiency has been a topic of concern in water-limited ecosystems (Epstein et al., 1999; LeHouerou, 1984; Niu et al., 2000) that has been evaluated in many different ways and on many scales (leaf, community and ecosystem scale) (Ehleringer and Osmond, 1989; Niu et al., 2000; Scott et al., 2006). In the present study, according to Eq. (9), calculating PWUE does not account for the loss of CO2 through plant respiration and thus only represents an approximation of the photoautotrophic efficiency. However, it is reasonable to assume that the proportion of plant productivity that was lost to plant respiration was a constant function of GEP (Scott et al., 2006; Waring et al., 1998). The variation in EWUE and PWUE were distinct for the four growing seasons with different rainfall amounts (Fig. 7), with the maximum PWUE and EWUE corresponding to the maximum amount of precipitation during normal precipitation years (2003 and 2004). However, the peak biomass combined with the maximum rainfall induced the highest water use efficiency (e.g. 2004). In water-limited years (2005 and 2006), the peak PWUE and 200 40 2004 150 2003 E T 100 P 30 50 20 0 10 -100 -150 0 200 40 2005 150 2006 30 100 50 20 0 -50 10 -100 -150 -2 0 2 4 6 8 days since event 10 12 14 -2 0 2 4 6 8 10 days since event Fig. 6. Response of soil evaporation (E) and canopy transpiration (T) to rainfall pulse (P). 12 0 14 Precipitation(mmd-1) Relative value of E or T (%) -50 1622 X. Huang et al. / Journal of Arid Environments 74 (2010) 1616e1623 4. Conclusions 0 2003 2004 2005 2006 -3 -2 Water Use Efficiency (gCm )/(mmH2O) 3 -6 May June Plant July August September 3 0 -3 Ecosystem -6 May June July August September Month Fig. 7. The annual variation in monthly ecosystem and plant water use efficiency. EWUE was lower than in 2003 and 2004, as was the difference in the monthly water use efficiency. 3.5. Effect of LAI on WUE -2 Water Use Efficiency (gCm )/(mmH2O) To examine the effects of LAI on an annual scale, we calculated the mean LAI over the entire growing season (LAImean) and then compared it to the annual EWUE and PWUE. The results showed that the annual EWUE and PWUE were closely correlated with the LAImean (Fig. 8), and that EWUE and PWUE increased as the LAImean increased. At the site evaluated in this study, LAI played a key role in inducing such a positive correlation with WUE through its regulation of T/ET (Table 1). This finding differs from the results of many previously conducted studies, which have suggested that the variation in WUE is mainly controlled by VPD (e.g. Ponton et al., 2006; Scanlon and Albertson, 2004; Verhoef et al., 1996). This discrepancy may have been caused by differences in the timescales investigated (i.e. from hours to several weeks) (Hu et al., 2008). Additionally, many of the studies that have shown a correlation between WUE and VPD were conducted in ecosystems with welldeveloped canopies (e.g. forest) (Herbst et al., 2002). Plant Ecosystem Plant 2 0 Ecosystem -2 -4 In this study, we examined how ET was partitioned into transpiration and evaporation in an arid and semiarid steppe from 2003 to 2006. In addition, we investigated how these components of ET were coupled with NEE. We found that during the dormant period, ET and T were approximately zero, but that T dominated ET during the growing period. On an annual basis, plant transpiration accounted for 44e58% of the total ET, and evaporation and transpiration were equivalent to ET. Evaporation peaked and declined very rapidly following rainfall events, and evaporation dominated ET following larger rainfall events. The peak in transpiration usually lagged behind that of evaporation, and declined more gradually. The size of the rain pulse affected the response of evaporation and transpiration to precipitation events. During the growing season, transpiration, photosynthesis and respiration were closely linked, but evaporation and respiration were not. The amount and time of precipitation affected the CO2 absorption by the ecosystem and regulated the dynamics of the CO2 fluxes in concert with the vegetation. Finally, the water use efficiency of the ecosystem and the plants were distinct in each of the study years. This disaggregation of the water and carbon fluxes into their respective components revealed the dynamic characteristics of the biological and non-biological response of the ecosystem as well as their responses to environmental conditions. The results presented here should facilitate the development of a mechanistic understanding of water and carbon flux coupling. Acknowledgements Financial support was subsidized by the National Natural Science Foundation (Grant No. 30590380, 90711001, and 30700079) and the National Key Basic Research Program (NKBRP) (Grant No. 2010CB833500). We greatly appreciate the help from Inner Mongolia Grassland Ecosystem Research Station, the Chinese Academy of Sciences. Appendix We used flux data derived from eddy covariance technology from 2003 to 2005 over the Inner Mongolia Steppe and the parameterized VIP (Vegetation Interface Processes) model to simulate ET of the grassland. The results were validated using halfhourly latent heat fluxes (LE) and net radiation (Rn) estimated from eddy covariance measurements. The model can effectively simulate latent heat fluxes of the grassland (R2 ¼ 0.80). ET had a close relationship with the quantity and distribution of precipitation (P). In the humid years of 2003 and 2004, the annual ET was 337 mm and 338 mm, which was greater than P. In the drier year of 2005, ET was 223 mm, which was also larger than P. On average, the water consumed by ET could be replenished by P, and E and T made relatively equivalent contributions to ET. About 83% of the annual ET occurred during the growing season. In addition, E was the primary component of ET before June, while T was the main component after June. The maximum ET and T were observed in July and August, respectively. ET and T were also strongly correlated with LAI. E changed little during the growing season, and the difference in ET came from T. 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