1. Introduction
There is growing evidence that global warming is changing the water cycle in terms of altering the spatial and temporal distributions of water availability worldwide. Specifically, changes in the magnitude, timing, frequency, and form of precipitation (rainfall/snowfall) and runoff (rainfed runoff/snow melt/glacier melt) have been widely observed [
1,
2,
3,
4,
5,
6,
7,
8,
9]. The changes are projected to intensify through the end of this century [
10,
11,
12,
13,
14,
15]. These changes have profound impacts on water resources management, particularly in water-limited arid or semi-arid environments, including the State of California, United States (U.S.).
As a globally important economy, California is the most populous State and one of the most productive agriculture areas in the United States [
16]. The State has built a vast and complex water storage and transfer system to redistribute water from the wetter northern half of the State to the drier southern half, which has a higher population and water demand and, from the wet season to the dry season, when the demand is the highest but precipitation is minimal, to support its population/agriculture and sustain its economy. The system contains hundreds of dams, reservoirs, pumping and hydropower plants, and thousands of kilometers of delivery aqueducts, canals, conduits, and tunnels [
17,
18]. Operations of the system are regulated by state and federal rules and decisions to ensure that the flow and water quality standards are met for municipal, agricultural, and environmental usage. These include the Water Right Decision 1641 (D1641) of the California State Water Resources Control Board [
19] and the more recent Biological Opinion (BO) of U.S. Fish and Wildlife Service [
20], among others. The flow and water quality objectives prescribed in D1641 and BO vary across different water year types (WYTs). WYTs are classifications that designate the wetness or dryness (and thus water availability) of the interested regions [
21]. In California, five different types of water years are defined (wet, above normal, below normal, dry, and critical) based on the wet season (October–March) runoff and snowmelt season (April–July) runoff, together with preset runoff thresholds. During the wet season, flood management is typically one of the highest priorities for water managers; during the snowmelt season, water supply is normally a bigger concern. Before snowmelt season starts or during the snowmelt season when the full April–July runoff is not observable, the forecasted April–July runoff is applied instead. In operations, a set of regression equations is used to forecast a range of April–July runoff volumes with different occurrence probabilities (specifically a low, a most likely, and a high forecast with 90%, 50%, and 10% exceedance probabilities, respectively) to account for hydroclimatic uncertainty in the period from the forecast time to the end of July [
22,
23,
24,
25]. In addition to WYTs and flow volumes (e.g., with different exceedance probabilities), drought indices have also been explored or applied to inform water operations, particularly drought response and planning practices in California. These indices include the Palmer Drought Severity Index [
26], deciles [
27], Standard Precipitation Index [
28], Aggregate Drought Index [
29], Standardized Runoff Index [
30], Standardized Precipitation-Evapotranspiration Index [
31], Multivariate Standardized Drought Index [
32], and Groundwater Drought Index [
33].
The determination and application of the water year classification, runoff quantiles, and drought indices are based on the stationarity assumption that the future hydroclimate in California would mimic the historical conditions. However, existing research has reported non-stationary changes in hydroclimatic variables across the State. The changes include warming [
34,
35], more rain versus snow in precipitation partition [
36], declining snowpack [
3,
37], earlier streamflow timing [
38,
39,
40], among others. There is a strong consensus that these changes are expected to manifest themselves in the future [
41,
42,
43], while there is much less certainty on the changing magnitudes that largely depend on future greenhouse gas emissions [
44,
45]. A worldwide collaborative framework, titled Coupled Model Intercomparison Project (CMIP), was designed to better understand future climate uncertainty in a multi-model and multi-emission scenario context [
46]. The CMIP is developed in phases and it provides multi-model projected climate dataset (representing the start-or-the-art climate science at the time when a specific phase is developed) to support regional, national, and international assessment of climate change. The project is currently in its sixth phase (CMIP6) [
47]. However, phase five (CMIP5) is the most recent completed and operative phase [
48]. Based on downscaled CMIP5 climate projections through the end the current century, California developed its latest (the fourth) climate assessment (CCCA4) to guide statewide climate adaptive planning activities.
A number of studies have applied the CCCA4 dataset in assessing the potential changes in California’s future hydroclimate and their impacts on the State’s water operations. Refs. [
49,
50] examined changes in precipitation and temperature. They reported consistent warming across all of the climate models with large uncertainties in precipitation changes on seasonal and annual scales. Refs. [
51,
52] investigated changes in future streamflow. They projected wetter wet season and drier dry seasons in the future. Refs. [
53,
54] assessed the impacts of projected hydroclimatic changes on the State’s water system. They concluded that, under the current system and operating rules, water deliveries would become less reliable. Ref. [
50] explored trends in the Standardized Precipitation-Evapotranspiration Index and noted increasing meteorological drought risks across the State particularly in dry regions. Nevertheless, no studies have analyzed the potential changes in hydrological droughts, runoff quantiles, as well as water year type distributions in California based on the latest operative CCCA4 dataset. Ref. [
21] evaluated how climate change affects water year classification in the State. However, an older generation of climate projections (from the third phase of CMIP, CMIP3) was utilized in that study. CMIP5 has advances over CMIP3 in terms of model spatial resolution, concept of future radiative forcing, available variables, among others [
55]. When compared to CMIP3 climate projections, the CIMP5 projections have significant improvements on key Pacific climate patterns and they show different climatic characteristics (wetter and warmer) in the Sierra Nevada region of California [
56,
57].
The current study aims to fill this gap. Specifically, the study examines the potential changes in water year type distribution, as well as hydrological drought and different ranges of runoff (at temporal scales that are meaningful to practical water resources management operations in California) through the 21st century with non-stationary, but highly uncertain, climatic conditions. The uncertainty in future climate is represented by a set of climate models from the latest operative CMIP5 under two different greenhouse gas emission scenarios. The rest of the paper is structured, as follows.
Section 2 describes the study area, variables, dataset, and metrics in detail.
Section 3 presents the results and findings of the study.
Section 4 discusses the potential causes and implications of these findings as well as future work.
Section 5 summarizes the study.
3. Results
3.1. Exceedance Probability
Figure 2 depicts the exceedance probability curves of the observed and projected Sacramento four rivers’ (SAC4) total runoff volume on three temporal scales (water year, October–March, and April–July). The sample size for each probability curve is 80, covering 1920–1999 for the observations and 2020–2099 for the projections, respectively. The “complement” (MIROC5) and “warm/dry” (HadGEM2-ES) models project generally similar annual (water year total) runoff as the historical baseline. Meanwhile, the “cool/wet” (CNRM-CM5) and “average” (CanESM2) models both project higher annual runoff across all of the exceedance probabilities under both emission scenarios (
Figure 2a). However, for October–March runoff, all of the models tend to project higher volumes than the historical baseline under both emission scenarios (
Figure 2b). This is particularly the case for the “cool/wet” model. Conversely, for April–July runoff, all models project lower than the baseline volumes (
Figure 2c). For a specific model, declines in the April–July runoff are more pronounced under the higher emission scenario when compared to the lower emission scenario. In Sacramento River region, historical October–March runoff accounts for a majority of the annual total runoff (red curves in
Figure 2a,b). Projected decreases in April–July runoff are outweighed by projected increases in October–March runoff (
Figure 2b,c, note the scale difference between these two panels), leading to overall increases in total annual runoff projections. Comparing two emission scenarios, the “cool/wet” model and the “average” model generally predict higher October–March runoff and lower April–July runoff under the higher emission scenario. The “warm/dry” model projects more annual and October–March runoff and less April–July runoff under the higher emission scenario, while the results are mixed for the “complement” model across three time scales.
Similarly, San Joaquin four rivers’ (SJQ4) total annual runoff is projected to increase across nearly all of the exceendance probabilities via the “cool/wet” model (CNRM-CM5) and the “average” model (CanESM2) (
Figure 3a). The increases are generally larger for higher flows with lower exceendance probabilities. Meanwhile, the “complement” model (MIROC5) and “warm/dry” model (HadGEM2-ES) project similar annual runoff to the the historical baseline. One difference from the Sacramento rivers (SAC4) is that the “complement” projection on SJQ4 tends to be slightly drier than the corresponding baseline. Similar to the Sacramento River region, the San Joaquin River region is expected to experience larger volumes of October–March runoff than the baseline in all of the projections (
Figure 3b). The increases are larger for runoff volumes with lower exceendance probability. Different from the Sacramento River region, not all four models project decreases in the April–July runoff (
Figure 3). The “cool/wet” model projects increases under both of the emission scenarios for the San Joaquin River region. The “average” model also projects increases under the higher emission scenario. This difference highlights the geographic differences between these two regions, which will be discussed in
Section 4. Finally, under the higher emission scenario, the “cool/wet” model projects higher October–March runoff and lower April–July runoff, while the “average” model predicts higher runoff across all three time scales, a result that is consistent with the Sacramento River region.
In brief, projections for both of the regions share some common features. The “cool/wet” model and “average” model project increases in annual runoff and all four models project increases in the October–March runoff for both regions under both emission scenarios. In addition, under the higher emission scenario, the “cool/wet” model projects more (than historical baseline) October–March runoff and less April–July runoff, while the “average” model projects increased runoff across all three time scales for both of the regions. There are also some differences, a significant one of which is that while all models project decreases in April–July runoff in the Sacramento River region in most cases, the “cool/wet” model projects increases in April–July runoff in the San Joaquin River region across most exceedance probabilities, particularly under the lower emission scenario.
3.2. Water Year Type
Historically (1920–1999), wet years, near-normal years (including above normal and below normal years), and dry conditions (containing both dry and critical years) are almost evenly distributed in the Sacramento River (
Figure 4a;
Figure A1 in
Appendix A). When compared to wet years (33%), dry conditions occur slightly more frequently (36%), while near-normal years are marginally less (31%). During the historical period (1920–1999), critical years account for about one-sixth (16%) of years. Under the “complement” (MIROC5) lower emission projection (
Figure 4b), both wet years and dry conditions are expected to decrease by 7% and 8%, respectively, when compared to the historical baseline. Meanwhile, near-normal years are projected to increase, particularly for below normal years (12% increase). For the same climate model under the higher emission scenario (
Figure 4f), slightly more wet years and dry conditions are projected. Like the “complement” model, the “warm/dry” (HadGEM2-ES) model projects are fewer (than historical baseline) wet years under both emission scenarios. However, more critical years are expected in the “warm/dry” projections when compared to the historical baseline.
The “cool/wet” (CNRM-CM5) projection and “average” (CanESM2) projection are strikingly different from that of the “complement” projection and “warm/dry” projection. Under the lower emission scenario (
Figure 4c,d), the wet years are expected to markedly increase, while the dry conditions are projected to decline distinctly compared to the historical baseline. When compared to the “average” model, the “cool/wet” model projects even more wet years (62% versus 49%) and less critical years (4% versus 5%). The “average” model projects more near-normal years (44%) than both the “cool/wet” model (29%) and the corresponding historical baseline (31%). Under the higher emission scenario, the “cool/wet” model projects fewer wet years and more near-normal years, while the changes in dry conditions are minimal when compared to that of the lower emission scenario (
Figure 4g versus
Figure 4c). The “average” model projects more wet years, more dry conditions, and less near-normal years (
Figure 4h versus
Figure 4d).
Like the Sacramento River region, the San Joaquin River region observes nearly evenly distributed wet, near-normal, and dry/critical years in the historical period (
Figure 5a;
Figure A2 in
Appendix A). However, it experiences slightly fewer wet years (3% less) and more critical years (4% more). When compared to the historical baseline, both the “complement” model (MIROC5) and the “warm/dry” model (HadGEM2-ES) project fewer wet years and significantly more critical years under both emission scenarios (
Figure 5b,e,f,i). Even fewer wet years are expected under the higher emission scenario and for the “complement” model. Both of the models project that approximately 50% of years are expected to be in dry or critical years (versus 34% in the historical baseline). Contrariwise, the “cool/wet” model (CNRM-CM5) projects remarkably more wet years and fewer critical years (
Figure 5c,g). Particularly under the lower emission scenario, the wet years are projected to nearly double, while the critical years and the overall dry conditions are expected to roughly decrease by half. The “average” model (CanESM2) also projects an increase in wet years (
Figure 5d,h). However, the increase is relatively milder when compared to that of the “cool/wet” model, particularly under the lower emission scenario. In addition, the declines in critical years and the overall dry conditions in “average” projections are also smaller.
In summary, the near uniform historical distribution of wet years, near-normal years, and dry (including critical) years in both Sacramento River and San Joaquin River regions is projected to significantly change in almost all of the models and emission scenarios analyzed here. In general, the “cool/wet” and “average” models project more frequent wet years and less critical and dry years. Conversely, the “warm/dry” model project fewer wet years and more critical years. The “complement” model projects fewer wet years overall. When comparing two regions, more critical years are consistently projected in the San Joaquin Region across all the climate models under both emission scenarios.
3.3. Standardized Streamflow Index
During the historical period (water year 1920–1999), there are slightly more dry conditions (AJ SSI < 0 for 56% of the time) than wet conditions (AJ SSI > 0 for 44% of the time) in the Sacramento River region (
Figure 6a) in terms of the April–July Standard Streamflow Index. There are two extremely wet cases (1952 and 1983) and two extremely dry cases (1924 and 1977), respectively. The mean and variance of the index are −0.1 and 1.0, respectively (
Table A2 in
Appendix B). Except for the “cool/wet” model (CNRM-CM5) under the lower emission scenario, dry conditions are projected to increase, ranging from 3% (“cool/wet” model under RCP 8.5) to 13% (“average” (CanESM2) and “warm/dry” (HadGEM2-ES) models under RCP 8.5) in all other cases as compared to the historical baseline. Extremely wet conditions are expected to consistently decrease across all models under both emission scenarios. Both the “complement” and “cool/wet” models project increases in the number of extreme dry conditions under both emission scenarios, so does the “warm/dry” model under RCP 4.5. However, the increases (from 2 to 3) are moderate. The mean index values generally become smaller. In general, under both of the emission scenarios, the “warm/dry” (“cool/wet”) projections have the smallest (largest) mean values. Only the “cool/wet” and the “warm/dry” projections under RCP 4.5 exhibit higher than the baseline variability, as they have higher variance values.
Historically, when measured by April–July SSI (
Figure 7), the distribution of wet (48%) and dry conditions (52%) over the San Joaquin River region is similar to that of the Sacramento River region. The former has the same number of extremely dry conditions (in 1924 and 1977) as the latter, but with one less extremely wet condition. The mean (−0.09) and variance (0.94) of the index of the former are also similar to their counterparts of the latter (
Table A2 in
Appendix B). Differently, “cool/wet” (CNRM-CM5) and “average” (CanESM2) models both project more (than the baseline) or similar wet conditions under both emission scenarios. The corresponding mean April–July SSI values are also larger than the historical mean. These two models also project more extremely wet conditions. Conversely, the other two models (“complement” (MIROC5) and “warm/dry” (HadGEM2-ES) project more extremely dry conditions. However, the magnitudes of projected increases or decreases in extreme conditions are generally small (e.g., up to two more extremely wet years and up to one more extremely dry year). In terms of variability, both “cool/wet” and “warm/dry” projections have higher than the baseline variance under both emission scenarios. The SSI indices on the annual and October–March time scales (
Figure A1,
Figure A2,
Figure A3 and
Figure A4 in the
Appendix A and
Appendix B) share some similarities with April–July SSI for both regions. Specifically, projected changes in extremely wet and dry conditions are not expected to be dramatic. Nevertheless, there are also some noticeable differences. One major difference is that more wet conditions are expected based on annual SSI and October–March SSI. This is particularly the case for October–March SSI, where nearly all four models project wetter than baseline conditions over both regions under both emission scenarios. These observations are generally in line with what the runoff exceedance probabilities in
Figure 4 and
Figure 5 have shown.
In addition to the SSI time series that are depicted in
Figure 6 and
Figure 7, the study further examines the overall trend of historical and projected SSI indices. For projected SSI, temporal scales that are longer than one year are also explored, as multi-year droughts are not uncommon in California.
Table 1 presents the corresponding trend slope information.
Table A3 of
Appendix B provides the corresponding
p-values. In the historical period (1920–1999), SAC4 and SJQ4 SSIs have increasing trends on October–March and multi-year (two to five years) scales, while the annual and April–July indices have decreasing trends. The magnitude of the trend slope is the highest for both regions for April–July SSI. However, all of the historical SSI trends are not shown to be statistically significant.
For the Sacramento River region, all of the models project downward trends in April–July SSI, indicating that April–July is projected to become drier. The slopes that are associated with the “complement” model (MIROC5) and the “warm/dry” model (HadGEM2-ES) under both emission scenarios are statistically significant. On annual and multi-year scales, the “complement” model projections and “warm/dry” projections also exhibit downward trends. In contrast, the “cool/wet” (CNRM-CM5) and “average” (CanESM2) models project increasing trends. The increasing trends that are associated with the “average” model are all statistically significant, along with the trends of the “cool/wet” projections under the higher emission scenarios on multi-year scales. Regarding October–March SSIs, except for the “average” model and “warm/dry” model under the lower emission scenario, increasing trends are projected in other cases.
For San Joaquin River region, except for the “average” model (CanESM2), all of the models project decreasing trends in April–July SSIs under both emission scenarios. However, only the “complement” (MIROC5) projections are statistically significant. On annual and multi-year scales, similar to those of the Sacramento River region, the “complement” model and “warm/dry” model (HadGEM2-ES) project decreasing trends in SSIs while it is the opposite for the “cool/wet” model (CNRM-CM5) and “average” model. Only trends of the “complement” model are mostly statistically significant, along with trends of the “average” model under the higher emission scenario and most trends of the “warm/dry” model under the lower emission scenario. For October–March SSIs, increasing trends (wetter) are projected, with the exception of the “complement” model under the lower emission scenario. In terms of magnitude, the trend slope values of the “average” (“complement”) model are generally larger than that of the “cool/wet” (“warm/dry”) model. Projections under the higher emission generally have larger (smaller) slope values than their lower emission scenario counterparts for the “cool/wet” model and “average” model (the “complement” model and the “warm/dry” model).
In summary, the projected changes in SSI vary across different climate models and emission scenarios, as well as across different temporal scales. Overall, April–July SSIs and October–March SSIs tend to decline and increase throughout the projection period, respectively, highlighting the non-stationarity in these projections. The “complement” model and “warm/dry” model generally project negative (i.e., drier) trends in SSIs on annual and multi-year scales, while it is the opposite for the other two models. Despite these differences, projected changes in the number of extremely wet conditions and extreme drought are not substantial according to all four models under both of the scenarios in both study regions.
5. Conclusions
This study highlights the non-stationarity and long-term uncertainty in key variables typically applied in guiding water resources planning and management in the State of California, United States. These variables include water year types as well as runoff volumes and hydrological droughts at temporal scales that are meaningful to water operations. Specifically, the study indicates that the temporal distribution of annual runoff is expected to change in terms of shifting more volume to wet season from snowmelt season for both major water supply regions in California. Increases in wet season runoff volume are more noticeable under the higher (versus lower) emission scenario, while decreases in the snowmelt season runoff are generally more significant under the lower (versus higher) emission scenario. In comparison, changes in water year types are more influenced by climate models, rather than emission scenarios. “Cool/wet” and “average” models both project more wet years and less critical years for both regions throughout the end of this century, while the “warm/dry” model projects more critical years and less wet years. When comparing two regions, generally speaking, the Sacramento River region is expected to experience more wet years and less critical years than the San Joaquin River region, due to their hydroclimatic and geographic differences. Hydrological droughts in future snowmelt season and wet season exhibit upward and downward trends in most scenarios, respectively. However, changing directions in hydrological droughts on annual and multi-year scales tend to be climate-model and scenario dependent.
These findings suggest that adaptive water resources management strategies need to take considerable uncertainty in future climate and the more certain hydro-climatic non-stationarity into account. In light of these findings, California Department of Water Resources (DWR) is exploring climate-adaptive water year typing methods and assessing their potential impacts on the current water classification system and water operations in the State. DWR is also developing plans to reduce flood risks and increase water supply reliability. These efforts will be reported in our following-up studies.