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--> --> --> -->3.1. Relationship between precipitation and vegetation dynamics
There was significant correlation (p<0.10) between growing season NDVI and precipitation of the previous year over the majority of the Plateau from the early 1980s to the mid-1990s (Fig. 1a). However, from the mid-1990s to the early 2010s the correlations were not significant (p>0.10) across most of the Plateau, except for a few areas in the IID1 and IIAB1 zones (Fig. 1b). The decrease in correlation coefficients and switch from significant positive to non-significant correlations (Fig. 1c) indicate that after the mid-1990s precipitation was no longer the key control on vegetation dynamics on the Plateau.By comparison, the correlation for precipitation in the same year shows a different pattern (Fig. 2). From the early 1980s to the mid-1990s, except for the northeastern (IID2 and IIC2 zones) and part of the southwestern Plateau (IIC1 zone), there were significant negative correlations between vegetation dynamics and precipitation in the same year over the southeastern Plateau (IIAB1 zone) (Fig. 2a). From the mid-1990s, excluding the southwestern Plateau, there were non-significant correlations in most of the Plateau. In the southeastern Plateau, there were also weakened negative correlations between precipitation in the same year and vegetation growth after the mid-1990s. Compared with concurrent precipitation, the precipitation prior to the growing season was likely to have closer connections with vegetation dynamics, which might be owing to the time lag effect between variation in precipitation and deep soil moisture that is critical for plant growth. In the central and southeastern Plateau, where needle-leaf forest and shrubland are distributed, the most moisture resource for trees comes from deep soil water (Hua et al., 2015), and thus it takes a certain period of time for the vegetation dynamics to respond to precipitation changes (Bigler et al., 2007). Moreover, the finer-grained soil of the southeastern Plateau (Brady and Weil, 1999) with a higher water holding capacity may also be the contributor for the significant correlation between NDVI and precipitation accumulated during a longer time period (Lloret et al., 2007).
Figure2. Pearson′s correlation coefficient between the detrended growing season NDVI and gridded precipitation in the same year on the Tibetan Plateau for (a) 1982-96 and (b) 1997-2011 [areas with non-significant (p>0.1) correlation coefficients are shown in grey], and (c) the difference between coefficients before and after 1996 (only areas with a difference of >0.45 are shown).
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3.2. Relationship between temperature and vegetation dynamics
From the early 1980s to the mid-1990s, there was no significant correlation (p>0.10) between variations in temperature and growing season NDVI for most of the Plateau, despite some scattered areas (e.g., the IIC1, IC1, and IIC2 zones) with significant negative correlations (Fig. 3a). From the mid-1990s, significant correlations (p<0.05) between temperature and growing season NDVI were obtained in the IC1, IB1, and IIAB1 zones (i.e., the central and southeastern part of the Plateau) (Fig. 3b), although negative correlations were recorded in the IC2, IIC1, and IIC2 zones. The difference in the correlation coefficients pre- and post-1996 (Fig. 3c) shows a strengthening relationship between temperature and growing season NDVI in the central and southeastern part of the Plateau, suggesting the key factor controlling vegetation dynamics in these regions switched from precipitation to temperature during the mid-1990s.Figure3. Pearson′s correlation coefficient between the detrended growing season NDVI and temperature on the Tibetan Plateau for (a) 1982-96 and (b) 1997-2011 [areas with non-significant (p>0.1) correlation coefficients are shown in grey], and (c) the difference between the coefficients before and after 1996 (only areas with a differences of >0.45 are shown).
The effects of rising temperature on vegetation dynamics were spatially variable across the Tibetan Plateau. A negative relationship between NDVI and temperature, as seen in the IC2, IIC1, and IIC2 zones (i.e., the southwestern and northeastern Plateau) after the mid-1990s, suggests that rising temperature (Wang et al., 2008) leads to warming-induced moisture deficits (Beck et al., 2011), thereby suppressing vegetation activity (Zhao and Running, 2010). In these regions with relative low annual mean precipitation (<400 mm), the suppressing effect of temperature-rise-driven moisture deficits on vegetation dynamics after the mid-1990s was also illustrated by the significant positive correlations between growing season NDVI and the Palmer Drought Severity Index (PDSI) series (See Electronic Supplementary Materials and Fig. S3), which suggests moisture is a key limiting climatic factor for vegetation activity. Therefore, in these regions the temperature increase had a negative impact on vegetation activity after the mid-1990s.
By comparison, in the central and southeastern Plateau (e.g., the IC1, IB1, and IIAB1 zones), after the mid-1990s temperature variations were significantly and positively correlated with NDVI. In these areas, due to high amounts of annual precipitation (>400 mm), moisture was not the dominant control on vegetation growth, as indicated by the insignificant relationship between PDSI and NDVI (Fig. S3). As a result, rising temperature did not increase drought stress, but did lengthen the growing season (Liu et al., 2006) and enhance vegetation activity (Nemani et al., 2003). Therefore, after the mid-1990s, temperature rise played a positive role on vegetation activity of the central and southeastern Plateau.
In addition, results from MODIS NDVI also showed that, during the period of 2000 to 2011, vegetation activity in the central and southeastern part of the Plateau had closer relationships with temperature than that of precipitation of both the previous and concurrent growing season (Fig. S4), and the correlation coefficients of the areal mean time series were 0.663 (p<0.05) and -0.225 (p=0.460) for temperature and precipitation of the previous year, respectively, all of which further support our finding regarding climate control changes from the mid-1990s onward.
Figure4. Temporal trends in growing season vegetation activity (1982-2011) and its correlations with the gridded (a) precipitation in the previous year and (b) temperature on the central and southeastern Tibetan Plateau. Correlation coefficients were calculated using a nine-year moving window with trends pre-removed. Correlation coefficients above/below the horizontal gray dashed lines are statistically significant (\(\vert r\vert>0.582\); P<0.1).
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3.3. Temporal trends in the factors controlling vegetation dynamics in the central and southeastern Plateau
The ecosystem of the central and southeastern part of the Plateau is of greater importance to regional and global climatic and environmental changes than other regions on the Plateau (Immerzeel et al., 2010). Over the past three decades the central and southeastern Plateau has experienced changes in the main climate controls on vegetation dynamics. Correlation analyses of the areal mean NDVI series (e.g., the IC1, IB1, and IIAB1 zones) with mean CRU precipitation of the previous year demonstrate a change from a positive and significant correlation (r=0.54, p=0.04) during the early 1980s to the mid-1990s to a negative and non-significant correlation of -0.01 (p=0.96) during the mid-1990s to the early 2010s. The nine-year moving correlation coefficient between the areal mean precipitation and NDVI also reveals that the importance of precipitation as a control on vegetation dynamics gradually decreased from the early 1980s to the present, as indicated by the decrease in the correlation coefficient from ~ 0.70 (p<0.05) before the mid-1990s to -0.30 (p>0.30) by the early 2010s (Fig. 4a). These results indicate that, as temperature increases, precipitation plays a weakening role in the vegetation dynamics over the central and southeastern part of the Plateau.After the mid-1990s, the importance of temperature as a controlling factor on vegetation dynamics increased in the central and southeastern part of the Plateau. For instance, from the early 1980s to the mid-1990s, the correlation coefficient between areal mean NDVI and temperature was only 0.04 (p=0.89), compared with 0.58 (p=0.02) from the mid-1990s to the early 2010s. The nine-year moving correlation results also show that before the mid-1990s the temperature was negatively and non-significantly correlated with vegetation activity (r is around -0.10, p>0.70), whereas from the mid-1990s the correlation coefficient increased to near 0.50 (p<0.20) and even to over 0.60 (p<0.10) in the late 2000s (Fig. 4b). This result suggests that, with the occurrence of global warming, temperature is an increasingly important control on vegetation dynamics. The results with in-situ data also display a similar pattern to that of the gridded dataset and the shift in the correlation with climate factors (Fig. S5).
On the other hand, the significant negative (r=-0.416, p=0.025) autocorrelation of the growing season precipitation time series (i.e., the correlation between precipitation of the previous and of the current year) and the relationship between precipitation and temperature may affect the correlation between climate factors (i.e., temperature/precipitation of the previous year) and NDVI. Therefore, a partial correlation was performed to remove the influence of these connections on the correlation between each climate factor and vegetation dynamics. The result shows that when their relationship with precipitation of the current year was excluded, the correlation of neither the temperature or the precipitation in the previous year with NDVI was weakened obviously (Table 1). During the period of 1982 to 1996, the partial correlation of precipitation in the previous year decreases to 0.661 to 0.582, but they are both significant (p<0.05); whereas, from 1997 to 2011, the partial correlation coefficient of temperature increases slightly, from p=0.557 to p=0.595, both of which are significant at the 0.05 level.
In addition, the spatial pattern in the partial correlations of vegetation activity with temperature and precipitation of the previous year were also analyzed in both sub-periods. Following the method of a previous study (Wu et al., 2015), the absolute value of the partial correlation coefficients (0-1) was linearly scaled to 0-255, and the scaled values of temperature and precipitation were then performed on red and green in the RGB (Red, Green, and Blue) color mode, respectively (the other primary color is constant), which illustrates the relative role of temperature and precipitation in the vegetation activity. The result shows that, before 1996, the vegetation activity in most of the central and southeastern Plateau was mainly controlled by precipitation variations (Fig. 5a), while after 1997 it was driven primarily by temperature changes (Fig. 5b). These different patterns also suggest a shift in the main climate controls on vegetation from precipitation to temperature.
Figure5. Partial correlation coefficients between the detrended growing season NDVI and precipitation in the previous year on the Tibetan Plateau for (a) 1982-96 and (b) 1997-2011.
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3.4. Possible mechanism for the temporal variations in the controls on vegetation dynamics
With the development of global warming, the central and southeastern Plateau has also been experiencing climate change in recent decades (Figs. S6 and S7). As suggested by (Piao et al., 2006), the relationship between climatic factors and vegetation dynamics is closely linked with the climate condition and will vary with the changing climate system, which might be the reason for the temporal variations in the climate controls of vegetation growth in the central and southeastern Plateau.Figure6. Variations in the correlation coefficient (r) between the detrended growing season NDVI and the in-situ precipitation of the previous year/temperature along with their corresponding mean (a)/(c) precipitation and (b)/(d) temperature over the central and southeastern Plateau from 1982 to 1996 (open circles) and from 1997 to 2011 (solid circles). The solid (dashed) lines are the linear regressions (also shown by correlation coefficients r) between correlations and precipitation of previous year/temperature obtained from the least-squares method.
To verify this assumption, we also analyzed the relationships between the correlation coefficient of each meteorological station (between climate time series and NDVI) and their corresponding mean temperature and precipitation during the two sub-periods, respectively (Fig. 6). It is clear that the correlation coefficient between NDVI and precipitation during 1982-1996 is higher than that of 1997-2011, while the correlation coefficient of temperature is higher during 1997-2011, which are both consistent with the statements mentioned above. The correlation between NDVI and precipitation in the previous year is more dependent on the mean precipitation than the mean temperature (Figs. 6a and b), and there were significant (p<0.10) and negative relationships between them for both sub-periods, which indicates that increasing precipitation may cause a declining connection between NDVI and precipitation in the previous year. However, the correlation coefficient between NDVI and temperature is more linked with temperature (Figs. 6c and d), and their positive relationships show that higher temperature appears to be associated with a closer correlation between temperature and vegetation growth.
In the central and southeastern part of the Plateau, the relationships between precipitation in the previous year and NDVI decreases as the mean precipitation increases, while the favorable influence of temperature on vegetation growth tends to increase as the mean temperature rises. As global warming progresses, the increasing (albeit non-significant) precipitation, and the significant rising temperature, in the central and southeastern Plateau (Figs. S6 and S7) might contribute to the weakening influence of precipitation and the strengthening influence of temperature on vegetation activity, respectively. Therefore, the shift in the controlling factor on regional vegetation dynamics can be regarded as the result of their responses to the changing climate condition under global warming.