Productivity responses of desert vegetation to precipitation patterns
Transcription
Productivity responses of desert vegetation to precipitation patterns
J Plant Res (2015) 128:283–294 DOI 10.1007/s10265-014-0685-4 REGULAR PAPER Productivity responses of desert vegetation to precipitation patterns across a rainfall gradient Fang Li · Wenzhi Zhao · Hu Liu Received: 5 May 2014 / Accepted: 27 September 2014 / Published online: 23 January 2015 © The Botanical Society of Japan and Springer Japan 2014 Abstract The influences of previous-year precipitation and episodic rainfall events on dryland plants and communities are poorly quantified in the temperate desert region of Northwest China. To evaluate the thresholds and lags in the response of aboveground net primary productivity (ANPP) to variability in rainfall pulses and seasonal precipitation along the precipitation-productivity gradient in three desert ecosystems with different precipitation regimes, we collected precipitation data from 2000 to 2012 in Shandan (SD), Linze (LZ) and Jiuquan (JQ) in northwestern China. Further, we extracted the corresponding MODIS Normalized Difference Vegetation Index (NDVI, a proxy for ANPP) datasets at 250 m spatial resolution. We then evaluated different desert ecosystems responses using statistical analysis, and a threshold-delay model (TDM). TDM is an integrative framework for analysis of plant growth, precipitation thresholds, and plant functional type strategies that capture the nonlinear nature of plant responses to rainfall pulses. Our results showed that: (1) the growing season NDVIINT (INT stands for time-integrated) was largely correlated with the warm season (spring/summer) at our mildly-arid desert ecosystem (SD). The arid ecosystem (LZ) exhibited a different response, and the growing season NDVIINT depended highly on the previous year’s fall/winter precipitation and ANPP. At the extremely arid site (JQ), the variability of growing season NDVIINT was equally correlated with the cool- and warm-season precipitation; (2) F. Li · W. Zhao (*) · H. Liu Linze Inland River Basin Research Station, Key Laboratory of Inland River Basin Ecohydrology, Cold and Arid Regions Environmental and Engineering Research Institute, Chinese Academy of Sciences, 320 Dong‑gang West Road, Lanzhou 730000, China e-mail: [email protected] some parameters of threshold-delay differed among the three sites: while the response of NDVI to rainfall pulses began at about 5 mm for all the sites, the maximum thresholds in SD, LZ, and JQ were about 55, 35 and 30 mm respectively, increasing with an increase in mean annual precipitation. By and large, more previous year’s fall/winter precipitation, and large rainfall events, significantly enhanced the growth of desert vegetation, and desert ecosystems should be much more adaptive under likely future scenarios of increasing fall/winter precipitation and large rainfall events. These results highlight the inherent complexity in predicting how desert ecosystems will respond to future fluctuations in precipitation. Keywords Aboveground net primary productivity · Previous precipitation · Rainfall events · Temperate desert regions · Threshold-delay model Introduction Water is the primary limiting resource for terrestrial biological activity in arid and semi-arid regions, and water availability mediates the responses of plant communities and entire ecosystems (Fay et al. 2003; Fay et al. 2008; Huxman et al. 2004a; Jenerette et al. 2008; Zeppel et al. 2007). In water-limited ecosystems, complex linkages exist between rainfall and vegetation behavior, as rain is intermittent, and unpredictable, and exhibits lag-effects (Li et al. 2013; Ospina et al. 2012). Global climate change is predicted to further increase rainfall variability, with increases in drought intensity and duration, and changes in seasonality (less summer and more winter precipitation) (IPCC 2007). Exactly how different desert ecosystems will respond to these changes is unclear and requires research at 13 284 the interface of ecology and hydrology, especially in arid regions (Plaut et al. 2013; Roca et al. 2004). Aboveground net primary productivity (ANPP), a key ecosystem process, exhibits spatial and temporal variability, and reflects floral and community responses to fluctuations in annual and seasonal precipitation (Bradford et al. 2006; Shafran-Nathan et al. 2012). In all terrestrial ecosystems, plant functions, including ANPP, respond by constraining gas exchange during dry periods, and altering structural and physiological attributes that affect the ability of plants to utilize soil water following precipitation (Blackman et al. 2009; Brodribb et al. 2010; Resco et al. 2009). The normalized difference vegetation index (NDVI) provides information on plant density and growing conditions on the ground (Berger et al. 2013), and it is widely used as a proxy for productivity in arid ecosystems (Gamon et al. 2013; Horion et al. 2013; Svoray and Karnieli 2011). NDVI is closely and positively correlated with the fraction of photosynthetically active radiation absorbed by green vegetation which tends to be in synchrony with canopy development, when the inter-annual variability of incident radiation and radiation use efficiency is small (Camberlin et al. 2007; Paruelo et al. 1997). These requirements were met in our study sites, and thus most of the inter-annual variability in ANPP was accounted for by changes in green-leaf biomass (Fabricante et al. 2009). Precipitation seasonality exerts an important control over ecosystem processes, particularly in dry ecosystems, and affects productivity (Gao and Reynolds 2003; Xiao and Moody 2004), vegetation structure, and composition (Robinson et al. 2013). Desert ecosystems have a high potential to respond to changes in seasonality (Robinson et al. 2013). The relationship between seasonally-accumulated rainfall and ANPP during the growing season has been studied extensively on a regional scale, but fall/winter climate dynamics also play an important role in determining the structure and function of arid-land ecosystems (Hamerlynck et al. 2013; Hamerlynck et al. 2012a). Previous-year precipitation controls a significant fraction of the variability in current-year production (Hamerlynck et al. 2013; Reichmann et al. 2013; Sala et al. 2012; Yahdjian and Sala 2006). In arid-land ecosystems fall/winter rainfall, especially that of low intensity, long duration, and large areal extent, is critical for plant springtime activity (Hamerlynck et al. 2012a; Reichmann et al. 2013). At the same time, the spring response of plant physiology and production to fall/ winter precipitation also affects the response to summer rainfall threshold values (Emmerich and Verdugo 2008). However, within-season variation in ANPP, especially that from July to September, is controlled by a variety of interacting factors, mainly the magnitude and frequency of precipitation events (Muldavin et al. 2008). In fact, high 13 J Plant Res (2015) 128:283–294 rates of shrub production are triggered by water pulses during warm periods (Sponseller et al. 2012). ANPP generally increases with rainfall event size, but remains within the limits of the upper and lower thresholds of the size of events that effectively contribute to ANPP (Ogle and Reynolds 2004; Swemmer et al. 2007). For short-grass prairie, the greatest response of ANPP to an individual precipitation event was an event of 15–30 mm (Lauenroth and Sala 1992). However, responses of different plant functional types to rain events differ across different biomes (Reynolds et al. 2004). For example, ANPP was reduced by 18 % in a tallgrass prairie (Fay et al. 2003; Heisler-White et al. 2009; Knapp et al. 2002) and by 16 % in an arid grassland (Zhang et al. 2013b), but increased by 70 % in a mixedgrass grassland (Heisler-White et al. 2009) following extreme precipitation regimes. The objective of this study was to evaluate different responses of desert ecosystems to precipitation patterns along a natural rainfall gradient ranging from 84 to 198 mm of mean annual precipitation. We evaluated 13 years of precipitation and corresponding NDVI datasets in three desert ecosystems, selected individual precipitation events during the summer, and evaluated different ecosystem responses using the threshold-delay model and statistical analysis. Specifically, we wanted to answer the following questions: (1) How does ANPP in desert ecosystems respond to different-sized rainfall events? (2) Does ANPP respond differently to warm-season than to cool-season precipitation in desert ecosystems? Understanding the responses to variations in precipitation patterns will assist in assessing how desert ecosystems may change under likely future scenarios of more extreme precipitation regimes. Materials and methods Study area and datasets In this study, we selected three desert ecosystems in northwestern China: Shandan (SD, 38°45′–38°49′ N, 100°46′– 100°50′ E, 1664 m), Linze (LZ, 39°24′–39°26′ N, 100°05′– 100°08′ E; 1445 m), and Jiuquan (JQ, 39°58′–40°02′ N, 98°36′–98°41′ E; 1477 m), which are about 100–200 km apart. These three sites exhibited different climate, vegetation and soil properties. The climate of the SD desert is alpine semi-arid temperate continental desert; at LZ, it is arid to semiarid temperate continental desert; and at JQ, it is arid temperate continental desert. Mean annual temperatures are 6.5, 7.6 and 7.9 °C; the potential evaporation values are 1,700, 2,390 and 2,560 mm; the relative humidity values are 49, 46 and 43 %; and mean annual precipitation values are 198, 110 and 87 mm, at SD, LZ and JQ, respectively, about 60 % of which falls during June–August. J Plant Res (2015) 128:283–294 285 summer, decreased, in the 2000- to- 2012 period, compared to 1953 to 2012, and changed from 39, 43, and 46 % to 35, 40, and 41 % at SD, LZ, and JQ, respectively (Fig. 1). Furthermore, the mean annual temperature increased about 0.41, 0.24 and 0.19 °C per 10 years at SD, LZ and JQ from 1952 to 2012. Zonal vegetation is temperate desert steppe and consists of super xerophytic shrubs as well as xerophytic and salttolerant sub-shrubs at the three sites; however each site had different vegetation community characteristics. Vegetation cover percentages were 19, 11, and 7 % at SD, LZ and JQ, respectively. Vegetation densities were 0.93, 0.35, and 0.19 plants m−2, and numbers of species were 18, 11 and 8, at SD, LZ and JQ, respectively. The plant community at SD was dominated by a C3 sub-shrub—Asterothamnus alyssoides, with an average height of 20–50 cm, a C4 sub-shrub—Salsola passerina, with an average height of 15–30 cm, and annual plants that were abundant in the late growing season and hand relatively complex structures. Only one C3 sub-shrub—Reaumuria soongorica, at an average height of 15–40 cm, and a few annual plants in the late growing season with relatively simple structure, dominated at LZ. A C3 sub-shrub—Reaumuria soongorica, with average height of 10–30 cm, and a C4 sub-shrub—Salsola passerina, with average height of 15–25 cm, and few annual plants, dominated JQ. The zonal soil type is aridisol with soil texture of 53 and 78 % sand, 42 and 19 % silt, and 5 and 3 % clay, at SD and LZ, respectively; no data were available for JQ. Average annual soil moisture at 0-60 cm soil depth is 3.7, 2.5, and 1.9 % at SD, LZ, and JQ, respectively (Zhang et al. 2007). Bulk density was 1.32 and 1.57 gm−2, and pore space was 50 and 41 % at SD and LZ, respectively; no data were available for JQ (Wang and Zhao 2009). Roots of Asterothamnus alyssoides were concentrated near the soil surface at 0–10 cm depth, and accounted for 60 % of total roots, with Reaumuria soongorica roots making up the remaining 40 %. Soil freezing occurs from October to March–April at all three sites. In these systems, water availability depends largely on precipitation, supplemented with infrequent mountain snowmelt. The depth of snow in cold season at SD, LZ, and JQ is detailed in Table 1. We used 13 years of growing season NDVI data for SD, LZ, and JQ to evaluate patterns of plant growth in desert ecosystems across a gradient of MAP. We acquired surface reflectance 8-day composited data with reduced influence of weather conditions and clouds from MODIS Terra maintained by the NASA Land Processes Distributed Active Archive Center at the USGS (http://ladsweb.nascom.nasa. gov/data/search.html.). Data were at 5-level, 3-global, 250 m spatial resolution (MOD09Q1) in HDF format, for the growing season from May to September. The images were treated with projection transformation and image registration, and were clipped using the study area borders executed in ENVI 4.7 Software. MOD09Q1 include red and near-infrared spectral bands that are used to obtain NDVI. Because NDVI values for an 8-day period could be recorded on any date within that period, we assumed that the NDVI value corresponded to the middle day of the NDVI compositing period (Zhang et al. 2013a). In addition, we obtained growing-season scales (total-, early- and late-) NDVI (NDVIINT, where INT stands for time-integrated) by summing NDVI for each 8-day period from 1 May to 30 September (total growing season), from 1 May to 30 June (early growing season) and from 1 July to 30 September (late growing season) to determine the interannual variation at the three sites. The midseason date of 1 July was determined based on personal communication with principal investigators. Frequency distributions of rainfall events Rainfall data Precipitation patterns at the three sites in our study can be characterized as typical of arid regions. Annual rainfall averaged 198, 110, and 84 mm in SD, LZ, and JQ from 1953 to 2012, but appeared to be increasing to 215, 113 and 92 mm at the three sites, respectively, in the last thirteen years (2000–2012) (Table 1). Precipitation was unimodal, with the majority of precipitation occurring in the summer (June–August). Most of the rainfall events were small (<5 mm). Large rainfall events (>10 mm) made up 15, 10 and 7 % of total precipitation at SD, LZ, and JQ, respectively, over the 60-year period from 1953 to 2012; however, these proportions increased to 18, 12 and 9 % at the three sites in the last thirteen years (Fig. 1). Also, the frequency of rainfall events in fall/winter/spring increased; and in Meteorological data (2002–2012) for the LZ study area were measured at an open-field weather station located approximately 5 km from the study site. Daily rainfall data for years 1967–2002 at LZ, and 1953–2012 at SD and JQ, were acquired from http://www.cma.gov. cn/2011qxfw/2011qsjgx/, maintained by the National Meteorological Information Center (NMIC). Continuous rainy-day data were treated as individual rainfall events. Those events totaling less than 3 mm were not used, as this amount of rain was assumed to be negligible for plant activity. We then selected 37, 33, and 38 independent precipitation events at JQ, LZ, and SD, respectively. The selected rainfall events met the following conditions (Wang et al. 2003): (1) no other major rainfall events NDVI data 13 286 J Plant Res (2015) 128:283–294 Table 1 Climate, vegetation and soil characteristics of three desert ecosystems located within the He-xi corridor of Northwest China Climate properties Characteristics Shandan (SD) Linze (LZ) Jiuquan (JQ) Study area (km2) Altitude (m) Topography Climatic types 56 1,664 Mildly undulating Alpine semi-arid temperate desert 198 39.4 45 1,445 Flat Arid to semiarid temperate desert 110 29.1 52 1,477 Mildly undulating Arid temperate desert 84 26.5 68.7 5.9 49 1,700 <12 19 ± 7 24 ± 8 0.1319 ± 0.016 0.93 ± 0.31 18 73.7 7.6 46 2,390 <10 11 ± 5 19 ± 9 0.0752 ± 0.008 0.35 ± 0.11 11 46.9 7.9 43 2,560 <14 5 ± 4 14 ± 9 0.0652 ± 0.005 0.19 ± 0.17 8 Reaumuria soongorica Sandy–silt–clay* (%) Bulk density* (gm−3) Pore space* (%) Swcg (0–60 cm) (%) Swc (60–180 cm) (%) Asterothamnus alyssoides, Salsola passerina 53–42–5 1.32 50 3.7 ± 1.67 – 78–19–3 1.57 41 2.45 ± 1.33 1.89 ± 0.67 Reaumuria soongorica, Salsola passerina – – – 1.87 ± 0.92 – MSFDh (cm) 110 100 143 MAPa (mm) MNb (n) MEc (mm) MATd (°C) RHe (%) Evaporation (mm) Snow depth(mm) Vegetation properties Cover (%) Height (cm) Average NDVIf Density (N m−2) Species richness Dominant plant species Soil properties a MAP is the mean annual precipitation from 1953 to 2012 b MN is the mean number of precipitation events per year from 1953 to 2012 c ME is the maximum number of precipitation events during 1953–2012 d MAT is the mean annual temperature from 1953 to 2012 e RH is relative humidity from 1953 to 2012 f Average NDVI is the average value over the growing season (May–September) from 2000 to 2012 g Swc is average soil water content during April–October from 2002 to 2012 at the Linze site h MSFD is the maximum depth of soil freezing *The data of soil physical properties were compiled from the literature (Wang and Zhao 2009) – Indicates no data available occurred during the preceding 15 days, the antecedent soil moisture was constant, and 15 days after the pulse, soil moisture returned to pre-pulse conditions (Hamerlynck et al. 2012b); (2) the event occurred close to the middle of the growing season (June–August), when temperatures were relatively high. In addition, we calculated hydrological annual precipitation as the sum of all precipitation from the previous September to August, based on a plant-centric precipitation. We then sub-divided the hydrological annual precipitation data into four seasons: autumn (September– November), winter (December–February), spring (March– May) and summer (June–August). Additionally, we defined the cool and warm season precipitation as that falling in 13 the previous autumn and winter and in spring and summer, respectively. Statistical associations between variables We examined multiple regression analyses with forward selection to assess the sensitivity of ANPP (total, early-, and late-growing season NDVIINT) to seasonal patterns of precipitation using cool- (previous autumn and winter) and warm- (current spring and summer) season precipitation as predictors of ANPP. Moreover, we used adjusted R2 and partial (r2) to evaluate the explanatory power of our analyses. The analyses were considered to be statistically J Plant Res (2015) 128:283–294 287 Fig. 1 Frequency distributions of rainfall events. a represents the average from 1953 to 2012 throughout all panels; b represents the average from 2000 to 2012 throughout all panels supported when they had a P < 0.01. We performed all statistical analyses in SPSS and mapping in Origin 8.0. The threshold‑delay model We used the threshold-delay model (Ogle and Reynolds 2004) to analyze and compare the rate, and duration of response, and the thresholds below or above which no, or no further, response was observed. The threshold-delay model is an integrative framework for analysis of plant growth, precipitation thresholds, and plant functional type strategies that capture the nonlinear nature of plant responses to rainfall pulses. It is based on six parameters, including lower and higher precipitation thresholds (RL or RU), lags (τ), potential responses (δmax), maximum response rates (ymax), and the reduction in the response variables over time (k). A large (small) k-value means that the duration of the plant response to a precipitation pulse should be longer (shorter). The model can be expressed as follows: yt = k × yt −1 +δt (1) yt −1 ∗ δt = Min ymax × (1 − k), δt 1 − ymax (2) δ · (Rt−τ − RL ) RUmax −RL ∗ δt = 0 δmax RL < Rt - τ <RU Rt−τ ≤ RL Rt−τ ≥ RU (3) 13 288 J Plant Res (2015) 128:283–294 In this study, the response variable (yt) is NDVI; yt−1 is the antecedent value of this NDVI; ymax is the maximum value of NDVI; δt is the magnitude of the increase in NDVI; δ*t is the potential increase; δmax is the maximum potential increase; RL is the lower threshold and RU is the upper threshold of rainfall; Rt−τ is the effective rainfall event; τ is the time lag; t is the response time; and k is the reduction rate. We estimated rainfall thresholds using regression models of rainfall size and NDVI increments induced by different-sized rainfall events. NDVIs following the response were selected as the maximum response values because the response lasted for a significant period of time. When NDVI increments increased or decreased negligibly, the corresponding rainfall size was used as the upper threshold. The other parameters of threshold delay were determined by multiple regression based on Eqs. 1, 2, and 3 (Zeppel et al. 2007; Zhao and Liu 2010). Results Relationship between growing season NDVIINT and precipitation in different periods Current warm-season precipitation explained 43, 15 and 29 % of the variation in the growing season NDVIINT at SD, LZ and JQ, respectively. Hydrological annual precipitation significantly increased the proportion of the explained growing season NDVIINT to 68, 46 and 68 %, at the three sites, respectively (Fig. 2). These results indicated that the previous autumn and winter precipitation cannot be ignored in explaining the inter-annual variation of the growing season NDVIINT. In addition, the rain-use efficiency (RUE, growing season NDVIINT/precipitation) both that in the warm season and the hydrological annual value, did not differ significantly across the three sites (Fig. 2a, F2, 36 = 2.034 P = 0.146; Fig. 2b, F2, 36 = 0.692 P = 0.507). The relationship between the growing season (early- and late-) NDVIINT and the two precipitation seasons (previous cool and warm) was expressed as a linear function within our three sites (Table 2). However, large within-site differences were observed. The relationship between the growing season NDVIINT and the warm-season precipitation at SD was stronger (rw = warm2 = 0.45) than that with the cool-season precipitation (rc = cool2 = 0.32). Also, the lategrowing-season NDVIINT was correlated with the warm(rw2 = 0.51) rather than with the cool-season precipitation (rc2 = 0.18). In contrast, both total- and late-growing-season NDVIINT were more highly correlated with cool- than with warm-season precipitation at LZ, with rw2 = 0.17 and rc2 = 0.29 (growing-season) and rw2 = 0.15 and rc2 = 0.27 13 Fig. 2 Relationships between precipitation and NDVIINT in desert ecosystems at SD, LZ, and JQ; the relationships were significant a Relationship between growing season precipitation (accumulated precipitation from March to August) and NDVIINT: R2 = 0.65, P < 0.001; b Relationship between annual precipitation (accumulated precipitation from previous September to current August) and NDVIINT. The slopes were not significantly different among the three sites (late-season). At JQ, the variability of growing-season NDVIINT was equally correlated with the cool- (rc2 = 0.33) and warm-season precipitations (rw2 = 0.32). In addition, the early-growing-season NDVIINT was much more correlated with the cool-season precipitation than with spring precipitation, at all sites. Spring precipitation showed some response relationship to vegetation growth over the early growing season, but this relationship was not significant. Previous NDVIINT significantly increased the proportion of the explained variance of the model considering only the precipitation of cool and warm seasons, at LZ and JQ, but not at SD (Table 3). At LZ, between 25 and 36 % of the growing season (early- and late-) NDVIINT inter-annual variation was associated with the previous NDVIINT. In contrast, 27 % of early-growing-season NDVIINT interannual variation was related to the previous NDVIINT, but growing- and late-season NDVIINT values were not significant at JQ. These results indicated that the response of current NDVIINT to previous-year production differed across these three sites. J Plant Res (2015) 128:283–294 289 Table 2 Regression statistics for the relationships between the entire- (May–September), early- (May–June), and late-growing-season (July– September) NDVIINT, and precipitation at different times of the year in three desert ecosystems Growing season Early Site Formula R2 r2 SD pt = 1.337 + 0.007xc + 0.006xw R2 = 0.77 rc2 = 0.32; rw2 = 0.45 LZ pt = 1.037 + 0.003xc + 0.003xw R = 0.46 JQ pt = 1.071 + 0.003xc + 0.002xw R2 = 0.65 SD LZ pt = 0.065 + 0.002xc + 0.002xs pt = 0.492 + 0.001xc + 0.001xs rc2 = 0.29; rw2 = 0.17 rc2 = 0.33; rw2 = 0.32 2 rc2 = 0.34; rs2 = 0.06 2 rc2 = 0.23; rs2 = 0.04 2 R = 0.40 R = 0.26 SD pt = 0.798 + 0.004xc + 0.005xw R = 0.67 rc2 = 0.26; rs2 = −0.01 rc2 = 0.18; rw2 = 0.51 LZ pt = 0.604 + 0.002xc + 0.002xw R2 = 0.42 rc2 = 0.22; rw2 = 0.20 JQ Late 2 JQ pt = 0.457 + 0.001xc + 0.0004xs pt = 0.662 + 0.002xc + 0.001xw R = 0.25 2 2 R = 0.64 rc2 = 0.33; rw2 = 0.31 Multiple regressions were performed with cool and warm season precipitation as predictors of ANPP. Both partial (r2) and overall model (R2) coefficients are shown. x, cumulative precipitation; the subscripts c, w, and s represent cool season, warm season, and spring season, respectively. pt represents current year growing season NDVIINT. Bold font represents significant level (P < 0.01) Table 3 Regression statistics for the relationships between the entire growing season NDVIINT (early, late) and hydrological annual precipitation and the previous NDVIINT in three desert ecosystems Growing season Early Late Site Formula R2 r2 SD pt = 1.349 + 0.006xh + 0.082 pt−1 R2 = 0.65 LZ pt = 0.384 + 0.003xh + 0.527 pt−1 R = 0.73 rh2 = 0.72; rt−12 = –0.08 rh2 = 0.40; rt−12 = 0.34 JQ pt = 0.840 + 0.003xh + 0.200 pt−1 R2 = 0.71 rh2 = 0.65; rt−12 = 0.07 2 2 SD pt = 0.289 + 0.003xc + 0.135 pt−1 R = 0.44 LZ pt = 0.245 + 0.001xc + 0.192 pt−1 R2 = 0.47 rh2 = 0.48; rt−12 = –0.04 rh2 = 0.20; rt−12 = 0.27 JQ pt = 0.132 + 0.001xc + 0.245 pt−1 R2 = 0.53 rh2 = 0.30; rt−12 = 0.23 2 LZ pt = 0.140 + 0.002xh + 0.378 pt−1 R = 0.70 rh2 = 0.64; rt−12 = –0.07 rh2 = 0.34; rt−12 = 0.36 JQ pt = 0.577 + 0.001xh + 0.075 pt−1 R2 = 0.72 rh2 = 0.69; rt−12 = 0.02 SD pt = 1.009 + 0.005xh– 0.025 pt−1 R = 0.57 2 Multiple regressions were performed with hydrological year precipitation and previous year ANPP as predictors of current year ANPP. Both partial (r2) and overall model (R2) coefficients are shown. xh, hydrological year precipitation; pt, the NDVI integrated over the current growing season; pt−1, the NDVI integrated over the previous growing season; xc, cool season precipitation. Bold font indicates significant level (P < 0.01) Response relationship of NDVI to precipitation pulse Increments of NDVI could be a direct response of the ANPP to the size of rainfall events (Fig. 3). Increments of NDVI differed across the three ecosystems, as did the relationships between NDVI and rainfall event size classes, and the SD site maintained higher overall rates of NDVI change than the other two ecosystems. At all three sites, increments in NDVI could be expressed as a sigmoidal function of rainfall event size classes. The minimum rainfall thresholds in the three ecosystems were similar, at about 5 mm; however, there were large differences among the maximum rainfall thresholds, which increased with increasing MAP, and the maximum rainfalls for SD, LZ, and JQ were about 55, 35, and 30 mm, respectively (Fig. 3). The values of k were different across the three sites, with the lowest at SD, and the highest at JQ (Table 4), indicating that the duration of desert habitat response to a precipitation pulse decreased from SD to JQ. The magnitudes of the increase in response (δt) and potential response (δ*t ) values were highest at SD, and lowest at JQ, indicating that the NDVI response values at SD were significantly greater than those at JQ after the same precipitation pulses. The maximum potential response variable values (ymax) and, correspondingly, the NDVI values, were highest at SD (0.4826), and lowest at LZ (0.1491). Discussion The rainfall-productivity relationship at the ecosystem scale differed from that at the temporal scale. In this study, we analyzed productivity responses to both individual precipitation events, and cumulative precipitation at specific temporal scales. Our results highlighted the importance of variability in precipitation to desert ecosystems. 13 290 J Plant Res (2015) 128:283–294 Fig. 3 Relationships between NDVI increments and rainfall event sizes at three desert ecosystems in northwestern China. JQ: n = 30; LZ: n = 33; SD: n = 37; here, the NDVI increment is the maximum response to a rainfall event Responses of the three desert ecosystems’ ANPP to cool and warm season precipitation Our results indicated that early-growing-season NDVIINT was related mainly to the cool-season precipitation, which accounted for 25–40 % at the three sites (Table 2), but was not significantly affected by spring precipitation. One possible reason for this result is that increased temperature leads to enhanced evaporation and hence depletion of soil moisture, in spring time in arid regions (Yang et al. 2011; Zeppel et al. 2014). Thus, temperature might account for some of the unexplained variation of NDVIINT. However, previous cool-season precipitation could be related to the carryover effects of soil water from the melting of frozen water in the preceding autumn, and in the snowpack accumulated over the winter. Our results were consistent with those from previous research in that previous cool-season precipitation was the critical resource needed for springtime plant activity (Hamerlynck et al. 2013; Hamerlynck et al. 2012a; Reichmann et al. 2013). In addition, previous growing-season production accounted for 23–27 % of inter-annual variation in early-growing-season NDVIINT at LZ and JQ (Table 4). These results may be explained by a carry-over effect of the structure of the vegetation, ranging from canopy cover and plant density to species composition, which determined the density of meristems where plant growth occurs (Yahdjian and Sala 2006). This result agreed with the observation that plant density is the main characteristic of vegetation structure that constrains primary productivity in the Patagonian steppe when a wet year follows a dry year (Yahdjian and Sala 2006). It is also similar to that of the spring response of plant physiology and production, both of which would amplify their response to summer rainfall (Heisler-White et al. 2008; Muldavin et al. 2008). Our results also indicated that variation in NDVIINT during the growing season responded to both cool-season (fall/winter) and warm-season (spring/summer) precipitation at the scale of years; this response was observed in all three desert ecosystems studied (Table 2; Fig. 2), and confirmed long-term data for many grassland sites (Ogle and Reynolds 2004; Reichmann et al. 2013). However, our three sites differed markedly in the sensitivity of ANPP to precipitation changes in different seasons; thus, NDVIINT was largely correlated with warm-season (spring/summer) precipitation at SD, highly dependent on autumn/winter precipitation and previous production at LZ, and equally correlated with cool- and warm-season precipitation at JQ. The result at LZ supported the conclusion that production Table 4 Parameters of the threshold-delay model for changes in NDVI in response to rainfall pulses at SD, LZ, and JQ Desert RL (mm) RU (mm) k δt ymax δ*t δmax SD LZ 5.0 5.0 55 35 0.9484 0.9564 0.0249 0.0065 0.4826 0.1491 0.0337 0.0139 0.1369 0.0670 JQ 4.0 30 0.9751 0.0048 0.1927 0.0072 0.0205 RL and RU are the lower and maximum thresholds of rainfall; k is the reduction rate; ymax is the maximum response variable value; δt is the response increase; and δt* is the potential response increase 13 J Plant Res (2015) 128:283–294 was sensitive to changes in cool-season precipitation, but only slightly sensitive to changes in warm season precipitation at arid and semiarid steppes and semi-desert regions in Patagonia (Milchunas et al. 1994; Oesterheld et al. 2001). In contrast, it has been reported that January-July precipitation was mainly responsible for the fluctuations of community biomass production at a semiarid temperate steppe site in Inner Mongolia, in China (Bai et al. 2004; Zeppel et al. 2014). These contrasting results are likely to be a consequence of a complex interplay among plant-available water, plant functional type, and resultant influences on plant phenology, growth, and water relations (Zeppel et al. 2014). The differing sensitivities of ANPP to changes in cooland warm-season precipitation at our three sites may also be partly explained by vegetation structure (Byrne et al. 2013). In our study, the SD desert site was dominated by Asterothamnus alyssoides and Salsola passerina; 60 % of roots of A. alyssoides and 70 % of roots of S. passerina occurred in the top 0–10 cm (Wang et al. 2013). In August, the ground was also covered with many annual plants, all of which are adapted to efficiently utilize episodic summer rains with the use of shallow root systems and the ability to rapidly respond with high rates of photosynthesis following rainfall (Nobel 1980). However, vegetation at LZ and JQ is dominated by Reaumuria soongorica, a plant with 40 % of roots occurring in the top 0–10 cm of soil (Wang et al. 2013); the plant can respond to moisture in shallow soil in the early growing season, and that in deep soil in the late growing season (Zhou et al. 2013). The relatively deep soil moisture carryover from previous precipitation provided vegetation with an ability to mediate the growing season ANPP response (Reichmann et al. 2013; Robertson et al. 2009; Thomey et al. 2011). Moreover, previous research at the LZ desert indicated that NDVI for sites dominated by with Reaumuria soongorica responded to summer rainfall events of <30 mm, and had no significant increase (Fig. 3b). At JQ, vegetation is dominated by Reaumuria soongorica (40 %, 0–10 cm) and Salsola passerina with shallower roots, with 70 % of roots occurring in the top 0–10 cm (Wang et al. 2013), and a larger response to cool-season and warm-season precipitation. This explains why the growing season NDVIINT responded equally to the cool- and warm-season precipitations. In addition, the growing season ANPP was closely related to the previous production at LZ; this can be explained with an increase in resource exploration following two or more consecutive wet years, and attributed to biotic mechanisms mediating the ecosystem response to antecedent environmental conditions (Reichmann et al. 2013). The lag in response of growing season ANPP to previous precipitation was pronounced at LZ compared with other two sites (Oesterheld et al. 2001); additionally, flat topography at LZ allowed deeper infiltration and more 291 water storage (Zeppel et al. 2014). Our results were similar to those from the Chihuahuan Desert where tiller density accounted for an extra 13 % of variability in ANPP (Reichmann et al. 2013). These results indicate that the correlation of NDVI and precipitation was modified (buffered or amplified) by vegetation structure (Fabricante et al. 2009; Milchunas et al. 1994; Yang et al. 2011). However, Yang et al. (2011) revealed that climate and soil factors play important roles in regulating plant community structure and composition in response to precipitation fluctuation in arid-semiarid ecosystems. For example, warming may indirectly affect species richness and production of grass species by altering soil water availability, which would, in turn, buffer the response of precipitation to ANPP (Fatichi and Ivanov 2014; Yang et al. 2011). Also, the projected change in timing of snowfall, in combination with rising temperatures, may lead to altered snowmelt and modify the seasonal availability of soil water; these changes would affect plant growth (Yang et al. 2011). In addition, the effects that soil moisture from redistributed precipitation may have on plant processes is likely to depend upon soil properties, microclimate, plant functional types, and the nature of the change in timing (Yang et al. 2011; Zeppel et al. 2014). Moreover, variation in soil water content and soil characteristics often have a substantial effect on plant production and soil processes, with increasingly large fluctuations in soil water content following redistributed precipitation driving physiological responses, community structure, and the distribution of plant functional types (Zeppel et al. 2014). However, variation in soil moisture storage, carbon and water fluxes among species and precipitation regime in the early growing season were minor compared to the variation observed for these factors following late-growing-season precipitation (Potts et al. 2006). Therefore these factors should be incorporated into future research in models predicting terrestrial vegetation dynamics under precipitation fluctuations. Responses of the three desert ecosystems’ ANPP to rainfall pulses A precipitation event of >5 mm has a pronounced effect on NDVI of both desert ecosystems and grasslands, independent of the actual precipitation amount (P < 0.001) (Heisler-White et al. 2009; Jankju 2008; Li et al. 2013; Swemmer et al. 2007). This rainfall threshold represents an ecologically significant rainfall event that interacts with plant water-use patterns of utilizing soil moisture pulses at particular infiltration depths or durations (Schwinning and Sala 2004; Zhao and Liu 2011). For example, in the North American short-grass steppe, rain events as small as 5 mm improved water conditions and increased soil water potential (Loik 2007; Sala and Lauenroth 1982). Furthermore, 13 292 for the desert shrubs Nitraria sphaerocarpa and Elaeagnus angustifolia, the lower rainfall thresholds were 5 mm for sap flow response (Zhao and Liu 2010) as an indicator of the potential for shrub growth and water use; by comparison, in a temperate Australian woodland, the threshold needed for rain events to elicit an increase in sap flow exceeded 20 mm (Zeppel et al. 2007). Therefore, rainfall events of 5 mm appear to be ecologically significant for ANPP responses in desert ecosystems. However, large rainfall events resulted in significantly higher pulse-response soil moisture in the top 16 cm of soil, extended the duration of the water pulse for up to 6 days longer (Thomey et al. 2011), and also resulted in a higher plant growth response. Our results indicate that NDVI responses were increasing in response to precipitation events >5 mm and less than the maximum threshold. Compared with a 5 mm rain event, shrub species with deep roots would continue to take up water from deeper soil after a large event (Reynolds et al. 2004; Schwinning and Sala 2004); this could trigger a large productivity increase, but when precipitation reached an upper threshold, the response would not increase. In this study, these upper thresholds were 55, 35, and 30 mm, for SD, LZ, and JQ, respectively. The effective response of plants to water inputs is optimum at moderate event size, while precipitation at larger events is less effective and therefore reduces RUE (Huxman et al. 2004b) and vegetation production (Swemmer et al. 2007). Compared to previous research in grasslands, this value is much higher than the one for a short-grass steppe, in which precipitation events of 15–30 mm contributed most of the effect on ANPP (Lauenroth and Sala 1992). The difference between these ecosystems was most likely the result of higher water demand in the desert ecosystem, caused by lower holding capacities and hydraulic conductivity, higher evaporation rates, and different soil moisture dynamics (Muldavin et al. 2008). In addition, biodiversity structure, life forms, and the ability of root systems to exploit moisture at varying depths differed greatly between these two types of ecosystems (Huxman et al. 2004b). We used the threshold-delay model to analyze desert ecosystem responses to precipitation pulses, and ultimately estimated several model parameters that quantitatively demonstrated the response process. The parameter k represented complex interactions among root profiles, density, structure and morphology, and soil water dynamics (Ogle and Reynolds 2004). In this study, the three desert ecosystems exhibited different k values in the order JQ > LZ > SD, indicating that the durations of response in JQ and LZ were greater than that in SD (Table 3) due to relatively deep and low-density root systems of the dominant species Reaumuria soongorica at JQ and LZ. In contrast, the mainly horizontal root system of Asterothamnus alyssoides and Salsola passerina, the dominant species in 13 J Plant Res (2015) 128:283–294 SD, combined with an abundance of annual plants in the late growing season, resulted in a smaller k value. Smaller k means a large and rapid response to each pulse event that rapidly diminishes thereafter. This is consistent with smaller k values of annual plants and shallowly-rooted woody plants reported by others (Ogle and Reynolds 2004; Zeppel et al. 2007). The parameter ymax reflects differences in physiology and growth strategies (Ogle and Reynolds 2004). The maximum values of a potential response variable (ymax) in this study were highest at SD, lowest at LZ, and intermediate at JQ, indicating that the physiology and ANPP response to precipitation were much higher at SD than at the other two sites; this result was due partly to plant diversity, in particular of annual plants, which responded during the growing season and with root systems better able to exploit available moisture. Also, the structure of the vegetation, ranging from plant density to species composition, determines the density of meristems where plant growth occurs, and may result in fluctuations in production corresponding to fluctuations in precipitation (Yahdjian and Sala 2006). Second in ANPP response level was the JQ desert; due to the mixture of C3 and C4 plants, Reaumuria soongorica and Salsola passerina, exhibiting a greater response than other desert plant species to precipitation (Throop et al. 2012). Our study demonstrated a direct NDVI response to the precipitation regime. However, we recognize the following limitations: (1) sufficient effective precipitation events are rare in arid regions, and differences in the June–August response varied with environmental variables (Li et al. 2013); (2) the selected rainfall events occurred mainly in summer, but to some extent, fall, winter, and spring precipitations will affect vegetation response to summer rainfall, and these interactions were difficult to determine in this study. However, our results highlight the inherent complexity, as well as the importance to desert ecosystems, of precipitation variability at different temporal scales. Conclusions In this study, we focused on understanding how desert ecosystems responded to variations in previous and current precipitation and rainfall events along a rainfall-productivity gradient. Our results showed that current-year production was positively related with hydrological annual precipitation (R2 = 0.77, 0.46 and 0.65) in SD, LZ, and JQ, of which previous cool-season precipitation explained 32, 29, and 33 % of variation, respectively. Furthermore, NDVI response thresholds of minimum and maximum rainfall events were 5 and 30–55 mm respectively, in these sites. These results showed that previous precipitation and large rainfall events significantly enhance the growth of desert J Plant Res (2015) 128:283–294 vegetation, which should be much more adaptive under expected future scenarios of increasing autumn/winter precipitation and large rainfall events. At the same time, these results highlight the inherent complexity in predicting desert ecosystem responses to fluctuations in precipitation. Our study provides a better model for revealing the nature of the temporal variation of growing season (earlyand late-) ANPP at three desert sites in northwestern China, providing information to develop early warnings of ANPP anomalies that could appear several months in advance or even earlier. Thus, managers may assess the potential response of desert vegetation to fluctuations in precipitation, and, further, make decisions related to livestock grazing or wildlife management. Acknowledgments This study was supported by the National Science Foundation for Distinguished Young Scholars of China (Grant No. 41125002) and the general program of the National Natural Science Foundation of China (Grant No. 41071019). We thank Dr. Kathryn Piatek and Dr. Marian Rhys for language assistance. 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