Climate risk management for water in semi–arid regions
© Robertson et al.; licensee Springer. 2014
Received: 1 October 2013
Accepted: 3 March 2014
Published: 17 June 2014
New sources of hydroclimate information based on forecast models and observational data have the potential to greatly improve the management of water resources in semi-arid regions prone to drought. Better management of climate-related risks and opportunities requires both new methods to develop forecasts of drought indicators and river flow, as well as better strategies to incorporate these forecasts into drought, river or reservoir management systems. In each case the existing institutional and policy context is key, making a collaborative approach involving stakeholders essential.
This paper describes work done at the IRI over the past decade to develop statistical hydrologic forecast and water allocation models for the semi arid regions of NE Brazil (the “Nordeste”) and central northern Chile based on seasonal climate forecasts.
In both locations, downscaled precipitation forecasts based on lagged SST predictors or GCM precipitation forecasts exhibit quite high skill. Spring-summer melt flow in Chile is shown to be highly predictable based on estimates of previous winter precipitation, and moderately predictable up to 6 months in advance using climate forecasts. Retrospective streamflow forecasts here are quite effective in predicting reductions in water rights during dry years. For the multi-use Oros reservoir in NE Brazil, streamflow forecasts have the most potential to optimize water allocations during multi-year low-flow periods, while the potential is higher for smaller reservoirs, relative to demand.
This work demonstrates the potential value of seasonal climate forecasting as an integral part of drought early warning and for water allocation decision support systems in semi-arid regions. As human demands for water rise over time this potential is certain to rise in the future.
Water scarcity in semi-arid regions having only one rainy season per year is a serious problem especially in developing countries. Seasonal climate forecasts, where they are skillful, provide a potential mechanism to manage drought in rainfed areas, and to better manage water allocation and reservoir operations. This paper describes approaches developed at the IRI in two semi-arid regions of South America, Central Chile, and NE Brazil covering these three aspects.
The central Chile case study
Climate variability can have serious social impacts in semiarid regions, especially for farmers who depend on rain-fed agriculture and on livestock production based on natural vegetation. In the Elqui Valley and Coquimbo region in central northern Chile (approx. 28S–32S), where rainfall amounts often drop under the limit for crop growth, a lack of rainfall results in a crisis situation for society. Over USD2.6 million were spent during the severe drought of 2007 to support affected families and farmers as they repair damage, recover degraded soils, and increase irrigation programs (MINAGRI 2008).
A typical problem here is the lack of preparedness prior to these natural events, making any governmental action afterward less cost effective. Despite the need, the current Drought Alleviation Plan formulated by the Chilean government for the region (FOSIS 2008) does not include strategies for drought early warning, and the feasibility of such a system has yet to be demonstrated.
The majority of precipitation in the region falls during the austral winter (May–August) as rain in the Valley and snow in the mountains, leaving the remaining months extremely dry (Aceituno 1988; Carrasco et al. 2008). Total precipitation averages approximately 100 mm annually near the coast, with larger amounts towards the Cordillera and south, and with a high degree of interannual variability (Young et al. 2010). El Niño-Southern Oscillation (ENSO) has been identified as a strong driver of this variability, with positive precipitation anomalies during El Niño events and below normal precipitation mostly associated with La Niña conditions (Aceituno 1988; Montecinos and Aceituno 2003; Falvey and Garreaud 2007; Garreaud et al. 2009; Quintana and Aceituno 2012). The Elqui River is predominantly fed through snowmelt over the October–January season, and a skillful streamflow forecast could provide advanced information to guide water allocation decisions in the Valley, especially during drought.
During the 1980s and 1990s, the framework for privatized water in Chile was established to encourage optimal allocation and efficiency through a market-oriented approach, as prescribed by the Water Code of 1981 (Donoso 2006; Young et al. 2010). The national water authority initially issued water rights, while supervision is the responsibility of the local water authority. Rights along the Elqui River are fully allocated, with each right valued at 1 liter per second. In years with near normal or above normal precipitation and snowpack in the Andes, supply is typically sufficient for all holders to use the full 1 liter per second; however in years with less than normal precipitation and snowpack, a reduction in the water rights value is required, occasionally to 0.5 liters per second or even less. All water rights holders have equal priority. Farmers dominate the landscape, holding approximately 92% of all rights, with half of those held by a small minority practicing large-scale viticulture. Municipalities and the mining industry share the remaining rights. Skillful forecasts of potential water rights reductions may thus be informative for planning purposes across a number of sectors.
The Nordeste case study
Northeast Brazil is a region with a high potential for seasonal rainfall predictability during the February–April rainy season, due to strong teleconnections with ENSO and with variability of the tropical Atlantic Ocean (Hastenrath and Heller 1977; Moura and Shukla 1981; Nobre and Shukla 1996). Reservoir optimization results are shown for the Oros system, which is the upper most reservoir in the Jaguaribe-Metropolitan multi-reservoir system. Currently, a conservative policy is used in water allocation for municipal, industrial, and agricultural use, assuming zero inflow into the reservoir in the upcoming year—essentially assuming a drought will occur every year. The work reviewed here investigates the potential for climate forecasts to improve the water allocation and reservoir releases through pre-emptive optimization analyses that are used to guide subsequent land use and other water sensitive decisions in a collaborative setting.
Seasonal climate forecasts
The IRI has issued seasonal climate forecasts for precipitation and near-surface temperature over global land areas operationally since 1998. These “Net Assessments” are described in detail in a separate paper (Barnston et al., this volume). Issued in the form of shifts in the odds of below-normal, near-normal and above-normal tercile categories for three-month average conditions at lead time up to about 6 months, these forecasts can provide decision makers with a heads-up to anomalous conditions. The Net Assessment was designed for that purpose, consisting of a map that is blank where climatological probabilities are expected, and which is shaded in progressively stronger colors when and where the calibrated forecasts indicate large probability shifts toward a particular category. However, the global nature of the map, its use of tercile categories, and its focus on seasonal average conditions are not directly useful for quantitative decision making in any particular instance. For drought management over rainfed areas, as well as the best use of limited water resources from rivers, research has been done at IRI and elsewhere to tailor seasonal climate forecasts for particular water decision making contexts.
Northeast Brazil exhibits some of the highest rainfall skills on the globe in the IRI Net Assessment, while the skill is comparatively low over Chile (Barnston et al. 2009). We summarize several methodologies used to enhance, downscale and tailor seasonal climate forecasts for drought management and streamflow forecasting for the Chile and NE Brazil case studies below.
Downscaling of daily rainfall characteristics for drought management over Chile
The character of daily rainfall within a season, often termed “weather within climate” is known to be more relevant for agriculture and water resource management than seasonal rainfall total and thus for agricultural drought. Dry spells (low rainfall frequency) can cause drought stress especially during the flowering stage of the crop (Challinor et al. 2004; Hansen et al. 2006). High-intensity downpours may run off without recharging soil moisture and may damage crops. By expressing seasonal total rainfall as the product of the number of rainy days (e.g. > 1 mm/day) and the mean rainfall intensity on wet days, it has been shown that rainfall frequency is generally much more seasonally predictable in the tropics than mean intensity (Moron et al. 2006; Robertson et al. 2009). This has been attributed to the higher spatial coherence of seasonal anomalies of rainfall frequency at the station scale (Moron et al. 2006; Moron et al. 2007). Thus, seasonal forecasts of relevant daily rainfall statistics have the potential to be more skillful than forecasts of trimester rainfall amount.
One of the simplest yet effective methods to downscale general circulation model (GCM) seasonal forecasts to rainfall at the station scale is using regression approaches based on cross-validated principal component regression (PCR) or canonical correlation analysis (CCA) (Tippett et al. 2003), as implemented in IRI’s Climate Predictability Tool (CPT) software (http://iri.columbia.edu/climate/tools/cpt); these procedures avoid the problems associated with multicollinearity in multiple linear regression. This approach was used to downscale (or tailor) precipitation hindcasts (forecasts made retrospectively for past years) of the NCEP Climate Forecast System version 1 (CFSv1) coupled ocean-atmosphere GCM (Saha et al. 2006) over Chile. The hindcasts were initialized on April 1 and expressed in terms of station-averaged standardized precipitation index based on station data for the May–August season for the years 1981–2005 (Verbist et al. 2010). This methodology has been shown to match or even to outperform more complex dynamical downscaling models over the Philippines (Robertson et al. 2011). The CPT formulation uses a regression model (either PCR or CCA) to calculate the mean of the forecast distribution, and the standard deviation of cross-validated error residuals of these values to determine the forecast spread, calculated from a Student’s t distribution.
The CFSv1 15-member ensemble mean gridded precipitation was used over the domain 20S–40S and 65W–85W.
Methods for spatio-temporal downscaling to obtain daily sequences of rainfall at the station level are of two general types: analog-type resampling approaches based on historical daily data such as weather-typing or K-nearest neighbors approaches (Rajagopalan and Lall 1999; Gangopadhyay et al. 2005; Moron et al. 2008), or weather generator approaches such as the nonhomogeneous hidden Markov model (NHMM) (Hughes and Guttorp 1994; Charles et al. 1999; Robertson et al. 2006). In both cases, the stochastic models for daily rainfall sequences need to be conditioned on a predictor variable, which is either taken to be a measure of relevant antecedent climate conditions, such as the Niño 3.4 sea surface temperature (SST) index, or forecasts of precipitation over the region of interest. The performance of these methods was shown to be comparable over Senegal (Moron et al. 2008). Once the daily rainfall sequences have been calculated, the rainfall or drought statistic of choice can be easily calculated. This is illustrated for Chile below, using the NHMM to forecast the number of heavy rainfall days (Verbist et al. 2010). The NHMM has also been applied over NE Brazil to downscale daily rainfall occurrence sequences to the station scale (Robertson et al. 2004).
Seasonal streamflow forecasts based on climate information can guide water managers toward improved reservoir operations, leading to better water resources management efficiency. Uncertainty is always present in seasonal streamflow forecasts, affecting the forecast value. Kwon et al. (2002) (Kwon et al. 2012) found that uncertainties associated with the climate forecast are much larger than those from parameter estimation in the hydrologic model.
Streamflow forecasting approaches primarily fall into two categories: statistical or dynamical (climatic-hydrologic model integration). Statistical approaches directly estimate streamflow using predictors of SST or a related hydroclimatic index (e.g. (Souza Filho et al. 2003)). Dynamical approaches couple climate and hydrology processes by passing downscaled information in an iterative or static manner (e.g. (Wood et al. 2002)).
Linear regression models – Chile
Both purely statistical and dynamical-statistical streamflow prediction models have been developed to characterize October–January average streamflow at the Algorrobal station on the Elqui River, upstream of the Puclaro reservoir in Chile. The Algorrobal station acts as a proxy for inflow to the Puclaro reservoir, with daily records available from 1949–present. Presently, the dynamical-statistical approach is used for the May-issued forecast, while the purely statistical approach is used for the September-issued forecast; future work improving both techniques for both leads is warranted. The statistical model takes a PCR approach, evaluating numerous large-scale and local hydro-climatic predictors and observations in the preceding season. The dynamical-statistical approach uses the CFSv1 precipitation hindcasts and builds on the work of (Verbist et al. 2010) by relating predicted austral winter precipitation to summertime streamflow using PCR.
Semiparametric models – NE Brazil
Souza and Lall (2003) (Souza Filho et al. 2003) developed a semi-parametric approach for forecasting streamflow at multiple gauging locations on a river network in NE Brazil conditional on climate precursors. The strategy considers statistical forecasts of annual or seasonal streamflow totals at each of the sites and their disaggregation to monthly or higher resolution flows using a K-nearest neighbor (K-NN) resampling approach that maintains space-time consistency across the sites and subperiods. This approach is used to develop seasonal streamflow forecasts for the Oros system. A total of 1000 traces of retrospective monthly streamflow forecasts are constructed for the water-allocation year July–June, based on the previous April–June average Niño 3.4 and East Atlantic Dipole (EAD) [(5N–20N, 60W–30W) minus (0–20S, 30W–10E)] SSTs(Souza Filho et al. 2003). The basic premise is that future streamflows are weighted ensembles of past K similar conditions based on the current SST predictor conditions. For additional details, see (Souza Filho et al. 2003).
Water rights forecasting in Chile
Previously, the local water authority used an analog streamflow forecast conditioned on the multivariate ENSO index (MEI, (Wolter and Timlin 1998)) to prescribe reservoir operations, with mixed success (M. Dominguez, personal communication.). Although the predictive skill was only moderate, it is encouraging that the local water authority has been using forecasts explicitly as part of their decision strategy. Additionally, the water authority indicated they were free (institutionally) to use forecasts produced by others (e.g. NOAA providing the multivariate ENSO index), including local institutions, as long as the forecasts were not produced in-house for potential conflict of interest reasons. This motivated enhancement of the existing streamflow forecast framework to provide water rights value forecasts.
In the work described here, the value of water rights each year is conditioned on both the predicted October–January streamflow total and the existing volume of the Puclaro reservoir; however unless the Puclaro volume is uncharacteristically low, it is really the austral summer streamflow prediction that dictates.1 Water rights values are set in October of each year. For planning and management purposes, the local water authority issues statements of the predicted water rights value in advance of October. The first statement is issued in early May, providing a five-month lead; the second statement is issued in September, and represents the updated and finalized value. Forecasts of the water rights values are subsequently derived from the streamflow forecast and existing reservoir volume through a simple water balance.
Forecast-based water allocation in NE Brazil
A participatory water allocation process based on probabilistic forecasts was introduced by Sankarasubramanian et al., (2009) (Sankarasubramanian et al. 2009a).
Users request the quantity of water they need at a particular reliability, the temporal distribution of this “allocation” within the upcoming season or year, their willingness to pay, and compensation in the event of non-delivery. The water manager then assesses feasible allocations using the forecast that tries to meet these criteria across all users.
The proposed framework consists of (a) a structure for water contracts, and (b) a water allocation model based on reservoir levels and streamflow forecasts (Sankarasubramanian et al. 2009a). The water allocation model is a (single site) multi-purpose reservoir optimization model that maximizes a utility function subject to the desired yield reliabilities, sectoral water allocation constraints and preferences (Lall and Miller 1988; Lall 1995). The yield denotes the reservoir releases for a future period with a given probability, which is usually expressed as its reliability of supply. In the traditional yield model, firm and secondary reservoir yields (corresponding to high and low reliability respectively) are calculated through simulation or stochastic analysis of historical streamflow data so as to maximize the long term performance of the reservoir over the planning horizon.
The key element of the framework is that if all the stakeholders agree on the end-of-season target storage and specify their desired reliability of supply, then the allocation model will determine the month-by-month reservoir releases required for each use, conditional on the probabilistic streamflow forecasts.
Results and discussion
Downscaling of precipitation forecasts over Chile for dryland management
Verbist et al. (2010) (Verbist et al. 2010) investigated the seasonal predictability of total seasonal rainfall total, daily rainfall frequency, and mean daily rainfall intensity on wet days at the station scale over the the Coquimbo region (the 4th administrative region of Chile), using station rainfall data obtained from Chilean Water Authority (DGA). CCA was used to downscale these seasonal rainfall summary statistics directly, while a large ensemble of daily rainfall sequences was simulated at each station using the NHMM, from which the rainfall summary statistics were calculated a posteriori. Similar cross-validated skill estimates were obtained using both approaches, with the highest anomaly correlations with observations found for seasonal rainfall amount and rainfall frequency (up to 0.9 at individual stations) (Verbist et al. 2010).
Daily rainfall sequences
Chile streamflow forecasts and water rights
As mentioned above, water rights are set in October for the water year starting in October with a first statement issued in early May, and a final one in September. Numerous predictors from the suite of season-ahead hydroclimatic variables were evaluated for the September-issued forecast, but observed precipitation in the prior May–August season was found to give the best prediction of October–January streamflow. Twenty-four precipitation stations throughout the basin, from the coast to the high elevations were included in the principal components regression model using CPT, following (Verbist et al. 2010). Snowpack data, which is very highly correlated with basin precipitation, also led to good skill, however the number of sites and length of record is still quite limited. Additionally, the national water authority is striving to convert many precipitation stations to real-time with online accessibility, which could eventually promote a fully automated forecast system.
The decision to use May–August precipitation observations for the September-issued forecast prompted the use of the CFSv1 forecast model to evaluate May–August precipitation forecasts for the May-issued forecast at all stations to subsequently predict streamflow. This was motivated by Verbist et al.’s (2010) work and by a desire to use a single, uncomplicated, transparent framework relating wintertime precipitation with summertime streamflow.
The observed streamflow and Niño 3.4 index are also plotted. Not surprisingly, the September-issued forecast produces superior skill (ACC = 0.88; RPSS = 0.5), however the May-issued forecast is still notable (ACC = 0.49; RPSS= -0.24), although the reasons for the negative RPSS score require further investigation. The ability of these models to predict categorically dry years is especially noteworthy. For the ten driest observed years, the September-issued forecast correctly predicts eight of those ten years. The September-issued forecast utilizing precipitation season-ahead observations is also markedly superior to the local authority’s previous September-issued approach using the multivariate ENSO index and historical analogs (not shown).
Chile water rights forecasts
Ceará streamflow forecasts
Streamflow forecasts for water allocation
In 1994, with the simulated initial storage being at the lowest in 10 years, the simulated reliability of supply using the hindcasts was reduced to 90% for all uses, but recovered to 100% thereafter because of larger observed inflows (Figure 9b). Thus, the utility of climate forecasts is more pronounced during drought periods when the initial storage is less than the total demand.
Since municipal use has the highest priority, its entire annual demand was allocated every year under both hindcast and zero inflows. This is also the case for industrial use, except in 1994, although even then there was no difference in releases since the allocations were zero using both schemes due to low initial storage conditions.
As forecast skill increases, the percentage improvement in water allocation relative to the climatological approach increases; however, the percentage improvement is much higher for systems having low storage to demand ratio. This is mainly because systems with large storage-to-demand ratio have the ability to supply the annual demand (including evaporation losses) from the initial storage alone; streamflow forecasts are much more potentially useful for smaller reservoirs relative to demand.
Sankarasubramanian et al., (2009) (Sankarasubramanian et al.2009b) demonstrated a much higher potential utility of climate forecasts in improving reservoir operation for the Angat Reservoir in the Philippines, which is a within-year storage system with a storage-to-demand ratio of only 0.83.
Nonetheless, according to 2007 growth in the Ceará region is likely to lead to increased demand that will constrain the system allocation more often, increasing the potential utility of climate forecasts.
In the Chilean Elqui River valley, the Puclaro reservoir has a high storage-to-demand ratio of 20 in normal to wet years, as demand is balanced against input from snow melt. In dry years, when precipitation amounts drop significantly, a large part of the reservoir is needed to fulfill demands, reducing the storage-to-demand ratio to 1.54 (Orphanopoulos et al. 2013). As these drought years have a return period of 6–7 years for this region (Nuñez et al. 2011), the potential for applying seasonal streamflow forecasting to optimize water allocation is expected to be significant.
This potential is likely to further increase, given the observed decreasing trend of precipitation in the region, as well as the further decline projected by the different climate change scenarios (Solomon et al. 2007). The current multi-year drought (2009–2013), for example, has reduced the storage of the Puclaro reservoir to a historical low level of only 5%, eliminating its buffering capacity for upcoming years. Under such conditions, agriculture will be directly dependent on precipitation from the previous season, and could benefit greatly from anticipated seasonal outlooks for planning purposes.
This paper has reviewed IRI work in Chile and NE Brazil that assesses the potential for using seasonal climate forecasts to improve management of drought and water resources in semi-arid regions. In both locations, downscaled precipitation forecasts made with statistical models based on lagged SST predictors or GCM precipitation forecasts have quite high skill. For drylands management in Chile, these forecasts were expressed in terms of station and regional-scale drought indices based on daily rainfall sequences, which better matches the approach used by local drought agencies than does the three-month rainfall totals in global seasonal forecasts, in additional to being more spatially specific. Extension of the analysis southwards, as presented in this paper, indicates that the seasonal forecast skill remains high, which warrants application of the methodology in the whole central Chilean drylands.
Streamflow in central-northern Chile is largely snow-fed, and in some new work reported here, this spring-summer melt flow is shown to be highly predictable based on observed estimates of precipitation in the previous winter, but also to be moderately predictable up to 6 months in advance using climate forecasts. These streamflow forecasts were shown to be quite effective in retrospectively predicting categories of reduction in water rights during dry years. In 2011, the September forecast was incorporated into the decision making process of the Elqui Water Authority. Three scenarios were presented to the stakeholders, showing distinct options for water allocation for the following summer season, based on the seasonal forecast, the available reservoir storage and the requested water allocation. This first experience confirmed the potential of seasonal forecasting as an integral part of the water allocation decision support system. Turning the seasonal forecast model into an operational product remains a challenge, however, as this requires further integration of data sets that are currently collected manually. Different alternatives of remote sensing proxies for precipitation in the region are also currently being evaluated.
Reservoir managers in Ceará must manage water releases to supply agreed-upon allocations for municipal, industrial and agricultural users, with a given level of reliability. Currently, a conservative policy is used that assumes zero inflow into the reservoir in the upcoming year—essentially assuming a drought will occur every year, and allocating water from the beginning-of-year storage. Climate forecasts tailored to streamflow are shown to have the most potential to optimize this practice during multi-year low-flow periods where the beginning-of-year storage is low. However, the Oros reservoir is a large multi-year-storage reservoir, and the highest potential for utilizing climate forecasts is shown to be for smaller reservoirs, relative to demand. As human demands for water rise over time, the number of such reservoirs is certain to rise.
Since 2011, the water supply agency in Ceará, COGERH, has implemented the use of the climate forecasts and reservoir optimization scenarios as part of its regular water allocation process. An initial implementation took place through the quarterly stakeholder meetings at the Curu reservoir. In 2012, the program was extended to 13 reservoirs in the system. Forecasts are updated and provided by the regional natural resource agency FUNCEME, and training to COGERH on forecast development, interpretation and use with the optimization models was provided by the Federal University of Ceará in Fortaleza. At this point the process has been institutionalized within COGERH. Current constraints on the use of these forecasts are likely to be reduced by shifts in water demand, water allocation in the agricultural Jaguaribe Valley, participatory processes for water allocation between this valley and the capital city of Fortaleza, and risk perception. The qualitative analysis by (Broad et al. 2007), based upon extensive fieldwork with farmers, agencies, politicians and other key actors in the water sector, stresses that forecast value changes as a society shifts.
1 If the over-year volume is very low, water rights values will likely be reduced even if the inflow is normal or above to promote refilling the reservoir. This is at the discretion of the operators, but typically these reductions begin when the reservoir is at half capacity or less.
2 It can be shown that, in the idealized case of well-calibrated normally distributed forecasts, where r is the anomaly correlation coefficient. An ACC of 0.4 equates to an RPSS of about 0.08.
This work was funded by NOAA under a cooperative agreement with the IRI.
Responsible editor: Michael Piasecki
- Aceituno P: On the functioning of the Southern Oscillation in the South American sector. Part I: Surface climate. Mon Weather Rev 1988, 116: 505–524. 10.1175/1520-0493(1988)116<0505:OTFOTS>2.0.CO;2View ArticleGoogle Scholar
- Barnston AG, Li S, Mason SJ, DeWitt DG, Goddard L, Gong X: verification of the first 11 years of IRI’s seasonal climate forecasts. J Appl Meteorol Climatol 2009, 49(3):493–520. [http://dx.doi.org/10.1175/2009JAMC2325.1]View ArticleGoogle Scholar
- Barrett BS, Carrasco JF, Testino AP: Madden–Julian Oscillation (MJO) modulation of atmospheric circulation and Chilean winter precipitation. J Climate 2011, 25(5):1678–1688.View ArticleGoogle Scholar
- Broad K, Pfaff A, Taddei R, Sankarasubramanian A, Lall U, de Assis de Souza Filho F: Climate, stream flow prediction and water management in northeast Brazil: societal trends and forecast value. Climatic Change 2007, 84(2):217–239. [http://dx.doi.org/10.1007/s10584-007-9257-0] 10.1007/s10584-007-9257-0View ArticleGoogle Scholar
- Byun HR, Wilhite DA: Objective quantification of drought severity and duration. J Climate 1999, 12: 2747–2756. 10.1175/1520-0442(1999)012<2747:OQODSA>2.0.CO;2View ArticleGoogle Scholar
- Carrasco JF, Osorio R, Casassa G: Secular trend of the equilibrium-line altitude on the western side of the southern Andes, derived from radiosonde and surface observations. J Glaciology 2008, 54(186):538–550. 10.3189/002214308785837002View ArticleGoogle Scholar
- Challinor AJ, Wheeler TR, Craufurd PQ, Slingo JM, Grimes DIF: Design and optimisation of a large-area process-based model for annual crops. Agric Forest Meteorol 2004, 124(1–2):99–120. [http://www.sciencedirect.com/science/article/pii/S0168192304000085]View ArticleGoogle Scholar
- Charles SP, Bates BC, Hughes JP: A spatiotemporal model for downscaling precipitation occurrence and amounts. J Geophys Res–Atmospheres 1999, 104(D24):31657–31669. 10.1029/1999JD900119View ArticleGoogle Scholar
- Donoso G: Water markets: case study of Chile’s 1981 water code. Cienc Investig Agrar 2006, 33: 131–146.Google Scholar
- Falvey M, Garreaud R: Wintertime precipitation episodes in central Chile: associated meteorological conditions and orographic influences. J Hydrometeor 2007, 8: 171–193. 10.1175/JHM562.1View ArticleGoogle Scholar
- Gangopadhyay S, Clark M, Rajagopalan B: Statistical downscaling using K-nearest neighbors. Water Resour Res 2005, 41: W02024,. doi:10.1029/2004WR003444View ArticleGoogle Scholar
- Garreaud R, Vuille M, Compagnucci R, Marengo J: Present-day South American climate. Palaeogeogr Palaeocl 2009, 281: 180–195. 10.1016/j.palaeo.2007.10.032View ArticleGoogle Scholar
- Guttman N: Comparing the palmer drought index and the standardized precipitation index. J Amer Water Resour Assoc 1998, 34: 113–121. 10.1111/j.1752-1688.1998.tb05964.xView ArticleGoogle Scholar
- Hansen JW, Challinor A, Ines A, Wheeler T, Moron V: Translating climate forecasts into agricultural terms: advances and challenges. Climate Res 2006, 33: 27–41.View ArticleGoogle Scholar
- Hastenrath S, Heller L: Dynamics of climatic hazards in Northeast Brazil. Quart J R Meteor Soc 1977, 103(435):77–92. 10.1002/qj.49710343505View ArticleGoogle Scholar
- Hughes JP, Guttorp P: A class of stochastic models for relating synoptic atmospheric patterns to regional hydrologic phenomena. Water Resour Res 1994, 30: 1535–1546. 10.1029/93WR02983View ArticleGoogle Scholar
- Kwon HH, de Assis de SouzaFilho F, Block P, Sun L, Lall U, Reis DS: Uncertainty assessment of hydrologic and climate forecast models in Northeastern Brazil. Hydrological Process 2012, 26(25):3875–3885. [http://dx.doi.org/10.1002/hyp.8433] 10.1002/hyp.8433View ArticleGoogle Scholar
- Lall U: Yield model for screening surface-water and groundwater development. J Water Resour Plann Manage 1995, 121: 9–22. 10.1061/(ASCE)0733-9496(1995)121:1(9)View ArticleGoogle Scholar
- Lall U, Miller C: An optimization model for multi-purpose, multi-reservoir screening, with explicit yield reliability consideration. Water Resour Res 1988, 24(7):953–968. 10.1029/WR024i007p00953View ArticleGoogle Scholar
- Montecinos A, Aceituno P: Seasonality of the ENSO-related rainfall variability in central Chile and associated circulation anomalies. J Climate 2003, 16: 281–296. 10.1175/1520-0442(2003)016<0281:SOTERR>2.0.CO;2View ArticleGoogle Scholar
- Moron V, Robertson AW, Ward MN: Seasonal predictability and spatial coherence of rainfall characteristics in the tropical setting of Senegal. Mon Weather Rev 2006, 134(11):2148–2148.View ArticleGoogle Scholar
- Moron V, Robertson AW, Ward MN, Camberlin P: Spatial coherence of tropical rainfall at the regional scale. J Climate 2007, 20(21):5244–5263. 10.1175/2007JCLI1623.1View ArticleGoogle Scholar
- Moron V, Robertson AW, Ward MN, Ndiaye O: Weather types and rainfall over Senegal. Part II: downscaling of GCM simulations. J Climate 2008, 21: 288–307. 10.1175/2007JCLI1624.1View ArticleGoogle Scholar
- Moura AD, Shukla J: On the dynamics of droughts in Northeast Brazil – observations, theory and numerical experiments with a general-circulation model. J Atmos Sci 1981, 38(12):2653–2657. 10.1175/1520-0469(1981)038<2653:OTDODI>2.0.CO;2View ArticleGoogle Scholar
- Nobre P, Shukla J: Variations of sea surface temperature, wind stress, and rainfall over the tropical Atlantic and South America. J Climate 1996, 9(10):2464–2479. 10.1175/1520-0442(1996)009<2464:VOSSTW>2.0.CO;2View ArticleGoogle Scholar
- Nuñez JH, Verbist K, Wallis J, Schaeffer M, Morales L, Cornelis W: Regional frequency analysis for mapping drought events in north-central Chile. J Hydrol 2011, 405: 352–366. 10.1016/j.jhydrol.2011.05.035View ArticleGoogle Scholar
- Orphanopoulos D, Verbist K, Chavez A, Soto G: Water use efficiency in an arid watershed: a case study. Sci Cold Arid Regions 2013, 5: 16–26.View ArticleGoogle Scholar
- Quintana JM, Aceituno P: Changes in the rainfall regime along the extratropical west coast of South America (Chile). 2012. 30–43S. Atmosfera 25:1–22Google Scholar
- Rajagopalan B, Lall U: A k-nearest-neighbor simulator for daily precipitation and other weather variables. Water Resour Res 1999, 35: 3089–3102. 10.1029/1999WR900028View ArticleGoogle Scholar
- Robertson AW, Mechoso CR: Circulation regimes and low-frequency oscillations in the South Pacific sector. Mon Weather Rev 2003, 131(8):1566–1576. 10.1175//2548.1View ArticleGoogle Scholar
- Robertson AW, Kirshner S, Smyth P: Downscaling of daily rainfall occurrence over Northeast Brazil using a hidden Markov model. J Climate 2004, 17: 4407–4424. 10.1175/JCLI-3216.1View ArticleGoogle Scholar
- Robertson AW, Kirshner S, Smyth P, Charles SP, Bates BC: Subseasonal-to-interdecadal variability of the Australian monsoon over North Queensland. Quart J R Meteor Soc 2006, 132: 519–542. 10.1256/qj.05.75View ArticleGoogle Scholar
- Robertson AW, Moron V, Swarinoto Y: Seasonal predictability of daily rainfall statistics over Indramayu district, Indonesia. Int J Climatol 2009, 29: 1449–1462. 10.1002/joc.1816View ArticleGoogle Scholar
- Robertson AW, Qian JH, Tippett MK, Moron V: Downscaling of seasonal rainfall over the Philippines: Dynamical vs. statistical approaches. Mon Wea Rev 2011, 140: 1204–1218.View ArticleGoogle Scholar
- Saha S, Nadiga S, Thiaw C, Wang J, Wang W, Zhang Q, Van den Dool HM, Pan HL, Moorthi S, Behringer D, Stokes D, Peña M, Lord S, White G, Ebisuzaki W, Peng P, Xie P: The NCEP climate forecast system. J Climate 2006, 19(15):3483–3517. 10.1175/JCLI3812.1View ArticleGoogle Scholar
- Sankarasubramanian A, Lall U, de Souza Filho F, Sharma A: Improved water allocation utilizing probabilistic climate forecasts: short term water contracts in a risk management framework. Water Resour Res 2009a.,45(W11409)Google Scholar
- Sankarasubramanian A, Lall U, Devineni N, Espunevea S: Utility of operational streamflow forecasts in improving within-season reservoir operation. J Appl Meteor Climatol 2009b, 48(7):1464–1482. 10.1175/2009JAMC2122.1View ArticleGoogle Scholar
- Solomon S, Qin D, Manning M, Chen Z, Marquis M, Averyt K, Tignor M, Miller H (Eds): Contribution of Working Group I to the Fourth Assessment Report of the Intergovernmental Panel on Climate Change. Cambridge, United Kingdom and New York, NY, USA: Cambridge University Press; 2007.Google Scholar
- Souza Filho FA, Lall U, Water Resour Res: Seasonal to interannual ensemble streamflow forecasts for Ceara, Brazil: Applications of a multivariate, semiparametric algorithm. 2003, 1307.http://dx.doi.org/10.1029/2002WR001373Google Scholar
- Tippett MK, Barlow M, Lyon B: Statistical correction of Central Southwest Asia winter precipitation simulations. Internat J Climatol 2003, 23: 1421–1433. 10.1002/joc.947View ArticleGoogle Scholar
- Verbist K, Robertson AW, Cornelis WM, Gabriels D: Seasonal predictability of daily rainfall characteristics in central-northern Chile for dry-land management. J Appl Meteorol Climatol 2010, 49: 1938–1955. 10.1175/2010JAMC2372.1View ArticleGoogle Scholar
- Wolter K, Timlin M: Measuring the strength of ENSO - how does 1997/98 rank? Weather 1998, 53: 315–324. 10.1002/j.1477-8696.1998.tb06408.xView ArticleGoogle Scholar
- Wood A, Maurer E, Kumar A, Lettenmaier D: Long-range experimental hydrologic forecasting for the eastern United States. J Geophys Res 2002, 107(D20):4429,. doi:10.1029/2001JD000659View ArticleGoogle Scholar
- Young G, Zavala H, Wandel J, Smit B, Salas S, Jimenez E, Fiebig M, Espinoza R, Diaz H, Cepeda J: Vulnerability and adaptation in a dryland community of the Elqui Valley. Climatic Change 2010, 98: 245–276. 10.1007/s10584-009-9665-4View ArticleGoogle Scholar
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