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--> --> --> -->4.1. GMA
To predict future changes, we define the "present day" (LE experiment) as 1980-2005, and the "end of the 21st century" as 2071-2100 (also called "future" for short). To compute GMA differences, two methods are employed: (2) We first compute the ensemble mean (EM) of the climatological precipitation in each scenario; then, the GMAs, as well as their differences, are computed based on the EMs (displayed as bars in Fig. 2). (3) We gain a GMA from the climatological precipitation in each ensemble, and then the mean GMA is computed in each scenario. Finally, the differences are obtained by comparing mean GMAs between scenarios (displayed in Fig. 2 as solid circles and error bars). The GMA differences based on the two methods are slightly different, but the gross changes are similar. Compared to present-day climate, the gross GMAs significantly expand under 1.5OS and 2.0NE (approximately 1.7%), whereas little change occurs under 1.5NE (Figs. 2a-c). Interestingly, despite nearly the same GMT change in 2100, different carbon emissions lead to different GMA changes. If the GMT increase relative to the pre-industrial level reaches both 1.5°C and 2.0°C without exceeding them, the 0.5°C difference leads to a significance change in GMA (Fig. 2e).Figure2. GMA differences (units: 106 km2) (a) between 1.5NE and LE, (b) between 1.5OS and LE, (c) between 2.0NE and LE, (d) between 1.5OS and 1.5NE, (e) between 2.0NE and 1.5NE, and (f) between 2.0NE and 1.5OS. The GMAs are based on the EM precipitation of each experiment. On the x-axis, D represents the corresponding GMA differences, E1 (S1) represents the GMA expansion (shrinkage) due to monsoon precipitation only, E2 (S2) represents the GMA expansion (shrinkage) due to the ratio of monsoon precipitation to annual precipitation only, and E3 (S3) represents the GMA expansion (shrinkage) due to both monsoon precipitation and the ratio. The results displayed in bars are computed by using "method 1". The gray, mesh and dotted bars respectively denote the results of the global, ocean and land monsoon. The solid dots and error bars are the corresponding GMA differences computed by using "method 2" and their 95% confidence intervals.
To investigate the causes of the GMA change, we compare the GMAs of the scenarios. Consider the GMA change in 1.5NE relative to LE, for instance. First, we determine the area inside the GMA of 1.5NE but outside of the GMA of LE, named the "expansion area". Then, we classify the "expansion area" into three categories. (2) E1: This area expands due to GMR only. More precisely, in this area in the LE experiment, the percentage of monsoon precipitation is no less than 55% and the monsoon precipitation annual range is less than 2 mm d-1; under the 1.5NE scenario, the percentage is still no less than 55% and the annual range increases to no less than 2 mm d-1. (3) E2: The area expands due to GM percentage only. In the LE experiment, the monsoon precipitation annual range in E2 is no less than 2 mm d-1 and the percentage of monsoon precipitation is less than 55%; under the 1.5NE scenario, the annual range is still no less than 2 mm d-1, and the percentage increases to no less than 55%. (3) E3: The area expands due to both GMR and the GM percentage. In the LE experiment, the monsoon precipitation annual range in E3 is less than 2 mm d-1 and the percentage of monsoon precipitation is less than 55%; under the 1.5NE scenario, the annual range increases to no less than 2 mm d-1 and the percentage increases to no less than 55%. Similarly, we define the GMA shrinking area and classify the area into three categories named S1, S2 and S3. The changes in the specified areas are displayed as bars in Fig. 2. In all comparisons, the areas that occur due to GM percentage change are the greatest (see terms E2 and S2 in Fig. 2). The net changes due to GM percentage are approximately equal to the total GMA change. The contribution of monsoon precipitation annual range is second, and the contribution due to both GMR and the GM percentage is quite low.
Under a scenario of global warming, climate change is not spatially homogeneous. For example, due to the discrepant properties of Earth's surface (the low heat content of land and oceanic evaporation), surface temperature change in reponse to global warming is not uniform (Sutton et al., 2007). Global warming alters ocean dynamics, which may exert influence on atmospheric circulation and precipitation (Xie et al., 2010). In addition, heat storage by land is relatively low. In this light, during global warming, discrepancies may exist in the responses of the ocean and land monsoons.
For ocean monsoons, relative to present climate, scenarios 1.5OS and 2.0NE display significant areal changes, whereas scenario 1.5NE shows no significant change (Figs. 2a-c). It is qualitatively the same as the responses of the GMA. Among the three "future" scenarios, the monsoon areas display no significant changes (Figs. 2d-f). The above changes in the ocean monsoon area are mainly led by monsoon percentage change (see terms E2 and S2 in Fig. 2). More precisely, expansion or shrinkage of the oceanic monsoon areas are mainly controlled by monsoon percentage change, which causes more or less area to meet the criteria of monsoon.
For land monsoons, the features show some discrepancies. Relative to present climate, the monsoon areas in all the three "future" scenarios display significant changes, but the changes are less than those associated with ocean monsoons (Figs. 2a-c). This indicates that the land monsoon areas among the ensembles in each experiment vary little and that the ocean monsoon areas among the ensembles of each experiment display greater variances. Among the three "future" scenarios, the discrepancies are insignificant (Figs. 2d-f). For the land monsoon area change, the change in monsoon precipitation and monsoon precipitation percentage both affect the area, with the first factor slightly greater than the latter.
By comparing the land and ocean monsoons, it is found that the area change in ocean monsoons mainly accounts for the GMA change. For example, compare 2.0NE with LE. The area change in ocean monsoons contributes to 71% of the GMA change. That is, the expansion or shrinkage of the GMA mainly occurs over oceans.
Therefore, relative to the present day, the GMA change displays little change in the 1.5NE scenario and significant increases in the 1.5OS and 2.0NE scenarios. There is a significant increase in 2.0NE relative to 1.5NE. The above increases are mainly led by the GM percentage change. Furthermore, the GM percentage changes over ocean monsoon domains mainly account for the above GMA changes.
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4.2. GMP
Using a method similar to "method 2" in section 4.1, we obtain the GMP and its confidence intervals. The results are shown in Fig. 3a. In 1.5NE, 1.5OS and 2.0NE, all GMP values significantly increase relative to the present day. The increases in GMP in the three scenarios are 0.18 mm d-1, 0.19 mm d-1 and 0.24 mm d-1, respectively, or relative increases of 2.9%, 3.1% and 3.9%. Little change is observed between 1.5NE and 1.5OS, indicating that different trajectories reaching the goal of a 1.5°C GMT increase in 2100 make no difference in terms of GMP. Relative to the 1.5°C temperature goal, the GMP under the 2.0°C temperature goal increases significantly (approximately 0.06 mm d-1).Figure3. The (a) GMP, (b) ocean monsoon precipitation and (c) land monsoon precipitation (units: mm d-1) of the scenarios. Bars indicate the EMs and error bars display the 95% confidence intervals. The area averages of monsoon precipitation over the GMAs are first calculated in each ensemble, and then the confidence intervals are obtained in each experiment.
The scales of the patterns of GMP change generally meet the scales of the GMP. The patterns of GMP change in the three "future" scenarios relative to the present day are similar (Fig. 4). It is interesting that the enhanced precipitation over the Asian monsoon domain is more prominent than that over other monsoon areas.
Figure4. The differences (units: mm d-1) in GMP between (a) 1.5NE and LE, (b) 1.5OS and LE, (c) 2.0NE and LE, (d) 1.5OS and 1.5NE, (e) 2.0NE and 1.5NE, and (f) 2.0NE and 1.5OS. The green contours are the outlines of the GMAs. In (a-c), the GMAs are the results of the LE EM; in (d, e), the GMAs are the results of the 1.5NE EM; in (f), the GMA is the result of the 1.5OS EM. The GMP is the local summer mean result, where local summer is May to September in the Northern Hemisphere and November to March in the Southern Hemisphere. Lattices indicate that the confidence level of the results reaches 90%.
As GMAs change in the future, do such changes affect the GMP? To study the influences, we first compute the EM of the precipitation for each experiment; then, we obtain the GMP in each experiment, and the difference between the future and the present day is called "precipitation with GMA change". Then, we compute the average of the monsoon precipitation change over the areas that belong to the GMAs in both future and present-day climate. We call these results "precipitation without GMA change". Finally, the effect of GMA change on GMP is obtained by comparing the precipitation "with" and "without" GMA change. The GMA effect on GMP change is the strongest in 1.5OS compared to LE. The GMA change contributes to 0.02 mm d-1, which is approximately 10% of the precipitation change and is 0.3% of the GMP in present-day climate. The effects of GMA change on GMP are negligible. The change in ocean monsoon area accounts for approximately one-third of ocean monsoon precipitation; the effect on the change in land monsoon area is negligible (figures not shown). This is consistent with the fact that the area change in ocean monsoons is greater than that of land monsoons.
To understand the dynamic structure of the GMP change, a diagnostic analysis of the moisture budget is performed. Following (Chou et al., 2009), the precipitation in anomaly form is \begin{equation} \label{eq2} P'=-\langle\bar{\omega}\partial_pq'\rangle-\langle\omega'\partial_p\bar{q}\rangle-\langle\overline{{V}}\cdot\nabla q'\rangle -\langle{V}'\cdot\nabla\bar{q}\rangle+E', \ \ (2)\end{equation} where the overbars and primes denote reference states and changes relative to reference states, respectively; P, ω, q, V and E respectively represent the precipitation, pressure velocity, specific humidity, horizontal wind vector and evaporation; and \(\langle\ \rangle\) denotes a mass integration from the surface to 100 hPa.
As the GMA changes affect GMP very little, we analyze the moisture budget over the GMA belonging to both the two comparable experiments. For example, if we diagnose the moisture budget equation of the 1.5NE scenario relative to LE, we focus on the shared GMA in 1.5NE and LE. Here, the analysis is based on "method 1", and the results are displayed in Fig. 5. In all of the comparisons, the qualitative conclusion is the same: the GMP change is mainly affected by the change in the vertical gradient of specific humidity and the change in evaporation. The change in the vertical gradient of specific humidity is mainly due to the enhancement of specific humidity led by surface warming. For evaporation change, the lack of surface specific humidity in the output makes the evaluation of reasons for evaporation change difficult. Inferred from the results in (Hsu et al., 2013), the evaporation change over the GMA may be mainly caused by the change in the humidity difference between the surface and air. The change in the vertical velocity makes an opposite-sign contribution. Over the GM domains, the vertical motion is dominated by ascendance. Under a warming scenario, the atmospheric circulation tends to slow (Held and Soden, 2006), which means that the ascending motion over the GM domains weakens. It partly cancels out the increase in precipitation. At the same time, horizontal moisture advection contributes little to the GMP change. Our GMP responses share the same mechanism as those under global warming revealed by (Kitoh et al., 2013), (Hsu et al., 2013), (Endo and Kitoh, 2014), and (Endo et al., 2018).
Figure5. Area-averaged terms of the moisture budget equation associated with GMP in (a) 1.5NE relative to LE, (b) 1.5OS relative to LE, (c) 2.0NE relative to LE, (d) 1.5OS relative to 1.5NE, (e) 2.0NE relative to 1.5NE, and (f) 2.0NE relative to 1.5OS. The terms are displayed on the x-axis. The units are mm d-1. The associated GMAs and the variables are calculated using "method 1". The gray, mesh and dotted bars respectively denote the results of global, ocean and land monsoon.
Over the Asian monsoon area, our results are similar to those in (Lee et al., 2018). They examined the Asian monsoon response between 1.5°C and 2°C target experiments using five atmospheric global climate models forced by designated sea surface temperature, sea ice, aerosols and GHGs. It implies that the air-sea interaction may contribute quite little to the monsoon rainfall increases.
Relative to present-day climate, the behaviors of ocean monsoon precipitation changes are similar to those of GMP change. The three "future" scenarios all display significant increases (significance level exceeding 99%) in ocean monsoon precipitation (Fig. 3b). The increases in the three "future" scenarios are similar and have insignificant differences. A moisture budget diagnosis is performed on ocean and land monsoons. The results are similar to those for the GMP change. The change in ocean monsoon precipitation is mainly controlled by the enhancement of humidity and evaporation under a warming climate (Fig. 5). Changes in ascending motion have opposite-sign contributions.
The behaviors of land monsoon changes in the future relative to present-day climate are similar to those of ocean monsoons (Fig. 3c). However, the change in land monsoon precipitation in 2.0NE is significantly different than that in 1.5NE and 1.5OS. Similar to ocean monsoon precipitation, land monsoon precipitation change is mainly controlled by the enhancement of humidity and evaporation, which is induced by global warming; the vertical motion change partly offsets the increase in precipitation (Fig. 5). Compared to the magnitudes of ocean monsoon precipitation changes, the land monsoon differs in the following ways: (2) the land-averaged increases in monsoon precipitation are greater than ocean-averaged increases; (3) regardless of the sign, the contribution of vertical motion change on land monsoon precipitation change is less than that on ocean monsoon precipitation change. It is easy to understand that, over land monsoon areas, the greater increase in mean precipitation is mainly due to less of a weakening in the ascending motion.
Figure 6 displays the differences of ω at 500 hPa between the given two experiments. In the three "future" scenarios, all monsoon areas display a dominant descending response, except the Asian monsoon area (Figs. 6a-c). From the southeastern Tibetan Plateau to South China, enhanced ascending motion is observed. This makes the increase in local monsoon precipitation stronger than in other monsoon areas. The enhanced ascending motion may be the consequence of enhanced moisture convergence caused by the strengthening of the North Pacific anticyclonic circulation under a warming climate (Seo and Ok, 2013; Wang et al., 2013). No large-scale enhancement of ascending motion is observed over ocean monsoon areas. Thus, this large-scale ascending motion enhancement results in the land-ocean difference in the increase in monsoon precipitation.
Figure6. As in Fig. 4. but for the differences of ω at 500 hPa. Units: Pa s-1.
Therefore, relative to present-day climate, the GM, ocean and land monsoon precipitation significantly increase under the two 1.5°C scenarios and an additional significant increase is found in the results of the GMP and land monsoon precipitation under the 2.0NE scenario. The monsoon area changes affect the increase in GMP and land monsoon precipitation very little. The increases in GM, ocean and land monsoon precipitation are mainly due to the enhancement of humidity and evaporation, whereas weakened ascending motion partly cancels out the increase in the monsoon precipitation. However, the overall ascending motion weakens less in land monsoon areas than than in ocean monsoon areas, leading the overall incease in land monsoon precipitation to be greater than that in ocean monsoon precipitation.
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4.3. Monsoon rainfall percentage
Similar to the calculation of GMP differences, we compute the differences in GM percentage. The corresponding results are displayed in Fig. 7. The GM percentage differences are no greater than 0.32%, which is low relative to the averaged GM percentage (71.4%) in a present-day climate.Figure7. Differences of GM (gray bars), ocean monsoon (mesh bars) and land monsoon (dotted bars) percentage (units: %) between the given two scenarios. On the x-axis, for example, 1.5NE-LE means the corresponding percentage in the 1.5NE scenario minus that in the LE experiment. The calculation is based on "method 2". The error bars displays the 95% confidence intervals.
This means that the ratios of the monsoon precipitation (also the local summer precipitation) to annual precipitation barely change in the "future".
On a regional scale, the scale of GM percentage change is approximately 1%. Consider the difference between 2.0NE and 1.5NE, for example. The percentage difference varies from -10.7% to 9.1% (figures not shown). The negligible changes in GM percentage in future scenarios implies that no consistent percentage change over the GMA occurs.
In addition, it can be implied from the negligible changes in GM percentage that the increase in the area-average local winter precipitation over the GMA is the same percentage as local summer precipitation (monsoon precipitation). For the global average, since the local winter precipitation is less than local summer precipitation, an increase in both of the same percentage leads to an increase in the GMR.
Similar results are found for ocean and land monsoons. For both types of monsoon, the monsoon precipitation percentage barely changes in all scenarios (Fig. 7). It can be inferred that, for both land and ocean monsoons, local winter precipitation and monsoon annual range both increase.
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4.4. Monsoon onset and withdrawal
Similar to the work of Lee and Wang (2014), the onset month of the summer monsoon is defined as the first month of local summer, which is May in the Northern Hemisphere and November in the Southern Hemisphere. The withdrawal month is defined as the last month of local summer, which is September in the Northern Hemisphere and March in the Southern Hemisphere. The global mean precipitation change over the GMA during the onset and withdrawal months is tightly associated with the onset and withdrawal of the GM, respectively. For example, if the precipitation increases in both the onset and withdrawal months, it indicates an earlier onset and postponed withdrawal.Under the scenarios proposed in the Paris Agreement, the GM onset remains generally unchanged. In both the 1.5NE and 1.5OS scenarios, the precipitation in the monsoon onset month increases insignificantly (Fig. 8). In the 2.0NE scenario, the precipitation change in the monsoon onset month is significant, with an increase of 0.05 mm d-1, which is quite low relative to the corresponding GMP change. The GMA change largely affects the monsoon precipitaiton in the onset month. If the rainfall changes over the shared area of the GMAs in the 2.0NE and LE experiments are compared, the increase is 0.02 mm d-1. The small increase in rainfall over the shared area of the GMAs is mainly caused by the offset of three terms: $-\langle\bar{\omega}\partial_{p}q'\rangle$, $-\langle\omega'\partial_{p}\bar{q}\rangle$ and E' (figures not shown).
The postponed GM withdrawal will occur under the scenarios proposed in the Paris Agreement. Figure 8a displays the precipitation differences in the monsoon withdrawal month between the two experiments. Relative to LE, all future scenarios display a significant precipitation increase (exceeding the 99% significance level) in the monsoon withdrawal month. The increase is close to the magnitude of GMP change. This means that the monsoon withdrawal will be delayed. For precipitation change in the monsoon withdrawal month, the GMA change contributes little (figures not shown). Similar to the method presented in section 4.2, the moisture budget is determined, and the results are displayed in Fig. 9. The results reflect that the precipitation increase is also mainly affected by the enhancement of humidity and evaporation and that the global warming-induced weakening in ascending motion makes an opposite-sign contribution.
Figure8. Area-averaged precipitation change in monsoon onset (mesh bars) and withdrawal (dotted bars) months over the GMAs. Units: mm d-1. Panels (a-c) are the results of the GM, ocean monsoon and land monsoon, respectively. On the x-axis, for example, 1.5NE-LE means GMP in the 1.5NE scenario minus GMP in the LE experiments. The error bars are the 95% confidence intervals of the corresponding differences. The calculation is based on "method 2".
Figure9. As in Fig. 5. but for the moisture analysis in monsoon withdrawal months.
Additionally, a weak postponement of monsoon withdrawal may occur under the 2.0NE scenario compared to the 1.5NE scenario. The precipitation difference in the monsoon withdrawal month is 0.05 mm d-1, reaching the 95% significance level (Fig. 8a). The GMA change affects the precipitation difference very little (figures not shown). The moisture budget analysis indicates that the precipitation difference is mainly affected by an enhancement of humidity and that the weakening ascending motion also provides an opposite-sign contribution (Fig. 9e).
The onset of both land and ocean monsoons is unlikely to advance. In the monsoon onset month, the change in precipitation is quite small (Figs. 8b and c). The maximum precipitation change is the land monsoon change in 2.0NE compared to LE at approximately 0.1 mm d-1. It is less than half of the corresponding change during the withdrawal month.
Relative to present-day climate, in monsoon withdrawal months, the three "future" scenarios all display significant increases (significance level exceeding 99%) for both ocean and land monsoon (Figs. 8b and c). The increases in magnitude are not consistent between land and ocean monsoons. In 1.5NE and 1.5OS relative to LE, the averaged increase in ocean precipitation is geater than that of land precipitation over the GMAs in monsoon withdrawal months; the results are the reverse in 2.0NE relative to LE. Among the three "future" scenarios, the discrepancies are quite small. The results of the moisture budget analysis are similar to those of the GMP results in withdrawal months. The enhancements of humidity and evaporation contribute to the increases in precipitation in withdrawal months, whereas the weakening of vertical motion over the monsoon areas partly cancels out the increases in precipitation (Figs. 9a-c).
Over land monsoon areas, two competing mechanisms affect the precipitation responses to global warming (Seth et al., 2013). One is the local mechanism; that is, the surface warming over land leads to more moisture near the surface, increases low-level moist static energy and dereases the stability. The other is the remote mechanism; that is, in the tropics, the ocean warming may lead to a warmed troposphere over land and increases the stability over land. During the monsoon onset months, the two mechanisms compete, leading to the small change in land monsoon precipitation; during the monsoon withdrawal months, the local mechanism dominates, leading to the larger increases in land monsoon precipitation.
Therefore, the length of the GM, ocean monsoon and land monsoon in each year is possibly prolonged due to their postponed withdrawal.