W WATER AND ENERGY CYCLES Taikan Oki1 and Pat J.-F. Yeh2 1 Institute of Industrial Science, University of Tokyo, Tokyo, Japan 2 Department of Civil and Environmental Engineering, National University of Singapore, Singapore, Singapore Synonyms Global water balance; Global water budget; Global water cycle Definition The global hydrological cycle can be described by the following physical processes which form a continuum of water movement. Complex pathways include the passage of water from the gaseous envelope around the planet called the atmosphere through the bodies of water on the surface of Earth such as the oceans, glaciers, and lakes and at the same time (or more slowly) passing through the soil and rock layers underground. Later, the water is returned to the atmosphere. A fundamental characteristic of the hydrological cycle is that it has no beginning and it has no end. Introduction The role of hydrological cycles in the Earth system, the amount of water on the Earth’s surface, and its distribution in various reserves are first introduced together with the water cycles on the Earth. The concept of mean residence time, water stored in various parts over the Earth’s surface as various phases, such as glacier, soil moisture, water vapor, and water flux among these reserves, such as precipitation, evaporation, transpiration, and runoff, is briefly explained with their roles in global climate system, and their quantitative estimates are presented. The zonally averaged net transport of freshwater and the role of rivers in the global hydrological cycle are quantitatively shown. Finally, the measurements of certain fluxes and storages in the global hydrological cycle by using satellite remote sensing are reviewed. Earth system and water The Earth system is unique in that water exists in all three phases, that is, water vapor, liquid water, and solid ice, compared to the situations in other planets. The transport of water vapor is regarded as energy transport because of its large amount of latent heat exchange during phase change to liquid water (approximately 2.5 106 J kg1); therefore, water cycle is closely linked to energy cycle. Even though the energy cycle on the Earth is an “open system” driven by solar radiation, the amount of water on the Earth does not change on shorter than geological timescales (Oki, 1999; Oki et al., 2004), and the water cycle itself is a “closed system.” On the global scale, the hydrological cycles are associated with atmospheric circulation, which is driven by the unequal heating of the Earth’s surface and atmosphere in latitude (Peixoto and Oort, 1992). Annual mean absorbed solar energy at the top of the atmosphere is maximum near equator with approximately 300 W m2, decreases suddenly at higher latitudes, and is approximately 60 W m2 at Arctic and Antarctic regions. Emitted terrestrial radiative energy from the Earth at the top of the atmosphere is approximately 250 W m2 for 20 north and south, gradually decreases at higher latitudes, and is approximately 175 W m2 at Arctic and 150 W m2 at Antarctic region. As a consequence, the net annual energy balance is positive (absorbing) for tropical and subtropical regions in 30 north and south and negative in higher latitudes (Dingman, 2002). If there are no atmospheric and oceanic circulation on the Earth, temperature difference on the Earth should have E.G. Njoku (ed.), Encyclopedia of Remote Sensing, DOI 10.1007/978-0-387-36699-9, © Springer Science+Business Media New York 2014 896 WATER AND ENERGY CYCLES Water and Energy Cycles, Table 1 World water reserves (simplified from Table 9 of “World water balance and water resources of the Earth” by UNESCO Korzun (1978). The last column, mean residence time, is from Table 34 of the report) Form of water Covering area (km2) Total volume (km3) Mean depth (m) Share (%) Mean residence time World ocean Glaciers and permanent snow cover Groundwater Ground ice in zones of permafrost strata Water in lakes Soil moisture Atmospheric water Marsh water Water in rivers Biological water Artificial reservoirs Total water reserves 361,300,000 16,227,500 134,800,000 21,000,000 2,058,700 82,000,000 510,000,000 2,682,600 148,800,000 510,000,000 510,000,000 1,338,000,000 24,064,100 23,400,000 300,000 176,400 16,500 12,900 11,470 2,120 1,120 8,000 1,385,984,610 been more drastic; temperature in the equatorial zone should have been high enough that the outgoing terrestrial radiation balances the absorbed solar energy, and temperature in the polar regions, which should have been low enough, as well. In reality, there are atmospheric and oceanic circulations that lessen this expected temperature gradation in the absence of circulations. Both atmosphere and ocean carry energy from the equatorial region toward both polar regions. In the case of atmosphere, the energy transport consists of sensible heat and latent heat fluxes (Masuda, 1988). The global water circulation is this latent heat transport itself, and water plays an active role in the atmospheric circulation; it is not a passive compound of the atmosphere, but it affects atmospheric circulation by both radiative transfer and latent heat release of phase change. Water reserves, fluxes, and residence time The total volume of water on the Earth is estimated as approximately 1.4 1018 m3, and it corresponds to a mass of 1.4 1021 kg. Compared with the total mass of the Earth (5.974 1024 kg), the mass of water constitutes only 0.02 % of the planet, but it is critical for the survival of life on the Earth, and the Earth is called Blue Planet and Living Planet. There are various forms of water on the Earth’s surface. Approximately 70 % of its surface is covered with salt water, the oceans. Some of the remaining areas (continents) are covered by freshwater (lakes and rivers), solid water (ice and snow), and vegetation (which implies the existence of water). Even though the water content of the atmosphere is comparatively small (approximately 0.3 % by mass and 0.5 % by volume), approximately 60 % of the Earth is always covered by clouds (Rossow et al., 1993). The Earth is the planet whose surface is dominated by various phases of water. Water on the Earth is stored in various reserves, and various water flows transport water from one to another. Water flow (mass or volume) per unit time is also called water flux. 3,700 1,463 174 14 85.7 0.2 0.025 4.28 0.014 0.002 96.539 1.736 1.688 0.0216 0.0127 0.0012 0.0009 0.0008 0.0002 0.0001 2,718 100.00 2,500 years 1,600 years 1,400 years 10,000 years 17 years 1 years 8 days 5 years 16 days A few hours 72 days The mean residence time in each reserve can be simply estimated from the total storage volume in the reserve and the mean flux rate to and from the reserve; there is even a distribution of flux rate coming in and going out from the storage (Chapman, 1972). The last column of Table 1 presents the values of the global mean residence time of water. Evidently, the water cycle on the Earth is a “stiff” differential system with the variability on many timescales, from a few weeks to thousands of years. Tmean ¼ Total storage volume Mean flux rate (1) The mean residence time is also important to consider when water quality deterioration and restoration are discussed, since the mean residence time can be an index of how much water is turned over. Apparently, river water or surface water is more vulnerable than groundwater to be polluted; however, any measure to recover better water quality works faster for river water than groundwater. Since the major interests of hydrologists have been the assessment of volume, inflow, outflow, and chemical and isotopic composition of water, the estimation of the mean residence time of certain domains has been one of the major targets of hydrology. Existence of water on the earth Table 1 (simplified from a table in Korzun, 1978) introduces how much water is stored in which reserves on the Earth: The proportion in the ocean is large (96.5 %). Even though the classical hydrology has traditionally excluded ocean processes, the global hydrological cycle is never closed without including them. The ocean circulation carries huge amounts of energy and water. The surface ocean currents are driven by surface wind stress, and the atmosphere itself is sensitive to the sea surface temperature. Temperature and salinity WATER AND ENERGY CYCLES determine the density of ocean water, and both factors contribute to the overturning and deep ocean general circulation. Other major reserves are solid water on the continent (glaciers and permanent snow cover) and groundwater. Glacier is the accumulation of ice of atmospheric origin generally moving slowly on land over a long period. Glacier forms discriminative U-shaped valley over land and remains moraine when it retreats. If a glacier “flows” into an ocean, the terminated end of the glacier often forms an iceberg. Glaciers react in comparatively longer timescale against climatic change, and they also induce isostatic responses of continental scale upheavals or subsidence in even longer timescale. Even though it is predicted that the thermal expansion of oceanic water dominates the anticipated sea level rise due to global warming, glaciers over land are also a major concern as the cause of sea level rise associated with global warming. Groundwater is the subsurface water occupying the saturated zone. It contributes to runoff in its low-flow regime, between floods. Deep groundwater may also reflect the long-term climatological situation. Groundwater in Table 1 includes both gravitational and capillary water. Gravitational water is the water in the unsaturated zone (vadose zone), which moves under the influence of gravity. Capillary water is the water found in the soil above the water table by capillary action, a phenomenon associated with the surface tension of water in soils acting as porous media. Groundwater in Antarctica (roughly estimated as 2 106 km3) is excluded from Table 1. Soil moisture is the water being held above the water table. It influences the energy balance at the land surface as a lack of available water suppresses evapotranspiration and as it changes surface albedo. Soil moisture also alters the fraction of precipitation partitioned into direct runoff and percolation. The water accounted for in the runoff cannot be evaporated from the same place, but the water infiltrated into soil may be uptaken by the capillary suction and evaporated again. The atmosphere carries water vapor, which influences the heat budget as latent heat. Condensation of water releases latent heat, heats up the atmosphere, and affects the atmospheric general circulation. Liquid water in the atmosphere is another result of condensation. Clouds significantly change the radiation in the atmosphere and at the Earth’s surface. However, as a volume, liquid (and solid) water contained in the atmosphere is quite little, and most of the water in the atmosphere exists as water vapor. Precipitable water is the total water vapor in the atmospheric column from land surface to the top of the atmosphere. Water vapor is also the major absorber in the atmosphere of both shortwave and longwave radiation. Water in rivers is very tiny as stored water all the time however, the recycling speed, which can be estimated as the inverse of the mean residence time, of river water 897 (river discharge) is relatively high, and it is important because most social applications ultimately depend on water as a renewable and sustainable resource. Overall, the amount of water stored transiently in a soil layer, in the atmosphere, and in river channels is relatively minute, and the time spent through these subsystems is short, but, of course, they play dominant roles in the global hydrological cycle. Water cycle on the earth The water cycle plays many important roles in the climate system, and Figure 1, revised from Oki and Kanae (2006), schematically illustrates various flow paths of water (Oki, 1999). Values are taken from Table 1 and also calculated from the precipitation estimates by Xie and Arkin (1996). Precipitable water, water vapor transport, and its convergence are estimated using ECMWF objective analyses, obtained as 4 year mean from 1989 to 1992. The roles of these water fluxes in the global hydrological system are now briefly introduced: Precipitation is the water flux from atmosphere to land or ocean surface. It drives the hydrological cycle over land surface and changes surface salinity (and temperature) over the ocean and affects its thermohaline circulation. Rainfall refers to the liquid phase of precipitation. Part of it is intercepted by canopy over vegetated areas, and the remaining part reaches the Earth’s surface as throughfall. Highly variable, intermittent, and concentrated behavior of precipitation in time and space domain compared to other major hydrological fluxes mentioned below makes the observation of this quantity and the aggregation of the process complex and difficult. Snow has special characteristics compared with rainfall. Snow may be accumulated, the albedo of snow is quite high (as high as clouds), and the surface temperature will not rise above 0 C until the completion of snowmelt. Consequently, the existence of snow changes the surface energy and water budget enormously. A snow surface typically reduces the aerodynamic roughness, so that it may also have a dynamical effect on the atmospheric circulation and hydrological cycle. Evaporation is the return flow of water from the surface to the atmosphere and takes the latent heat flux from the surface. The amount of evaporation is determined by both atmospheric and hydrological conditions. From the atmospheric point of view, the fraction of incoming solar energy to the surface leading to latent and sensible heat flux is important. Wetness at the surface influences this fraction because the ratio of actual evapotranspiration to the potential evaporation is reduced due to drying stress. The stress is sometimes formulated as a resistance, and such a condition of evaporation is classified as hydrology driven. If the land surface is wet enough compared to the available energy for evaporation, the condition is classified as atmosphere driven. 898 WATER AND ENERGY CYCLES Water and Energy Cycles, Figure 1 Global hydrological fluxes (103 km3/year) and storages (103 km3/year) with natural and anthropogenic cycles are synthesized from various sources. Big vertical arrows show total annual precipitation and evapotranspiration over land and ocean (103 km3/year), which include annual precipitation and evapotranspiration in major landscapes (103 km3/year) presented by small vertical arrows; parentheses indicate area (106 km3/year). The direct groundwater discharge, which is estimated to be about 10 % of total river discharge globally, is included in river discharge (Revised from Oki and Kanae, 2006). Water and Energy Cycles, Table 2 Annual freshwater transport from continents to each ocean (1015 kg/year) mean for 1985–1988. “Inner” indicates the runoff to the inner basin within Asia and Africa. HH Q· indicate the direct freshwater supply from the atmosphere to the ocean. N.P., S.P., N. At., and S. At. represent North Pacific, South Pacific, North Atlantic, and South Atlantic Ocean, respectively N.P. From rivers From atmosphere Asia Europe Africa N. America S. America Australia Antarctica Total HH Q Grand total 4.7 2.9 0.5 8.1 9.9 18.0 S.P. 0.4 0.4 0.1 1.0 1.9 11.1 9.2 Transpiration is the evaporation of water through stomata of leaves. It has two special characteristics different from evaporation from soil surfaces. One is that the resistance of stomata is related not only to the dryness N. At. 0.2 1.7 0.2 4.8 5.7 12.2 12.7 0.5 S. At. Indian 0.9 3.3 0.0 0.2 Arctic 2.7 0.7 Inner 0.1 0.4 1.1 8.3 0.1 9.3 14.0 4.7 0.1 0.8 4.0 14.0 10.0 4.5 2.2 6.7 0.3 0.3 Total 11.4 2.4 0.1 8.8 14.9 0.2 1.9 39.7 39.7 0.0 of soil moisture but also to the physiological conditions of the vegetation through the opening and closing of stomata. Another is that roots can transfer water from deeper soil than in the case of evaporation from bare soil. WATER AND ENERGY CYCLES Vegetation also modifies surface energy and water balance by altering surface albedo and by intercepting precipitation and evaporating this rainwater. Runoff at the hillslope scale is nonlinear and a complex process. Surface runoff could be generated when rainfall or snowmelt intensity exceeds the infiltration rate of the soil or precipitation falls over saturated land surface. Saturation at land surface can be formed mostly by topographic concentration mechanism along hillslopes. Infiltrated water in the upper part of the hillslope flows down the slope and discharges at the bottom of the hillslope. Because of the highly variable heterogeneity of topography, soil properties such as conductivity and porosity, and precipitation, basic equations such as Richards’ equation, which can express the runoff process fairly well at a point scale or hillslope scale, cannot be directly applied to the macroscale because of its nonlinearity. Runoff returns water to the ocean which may have been transported inland in vapor phase by atmospheric advection. The runoff into oceans is also important for the freshwater balance and the salinity of the oceans. Rivers carry not only water mass but also sediments, chemicals, and various nutritional matters from continents to seas. Without rivers, the global hydrological cycles on the Earth will never close. The global water cycle unifies these components consisting of the state variables (precipitable water, soil moisture, etc.) and the fluxes (precipitation, evaporation, etc.). Zonally averaged net transport of freshwater The meridional (north–south direction) distribution of the zonally averaged annual energy transports by the atmosphere and the oceans has been evaluated, even though there are quantitative problems in estimating such values (Trenberth and Solomon, 1994). However, the corresponding distribution of water transport has not often been studied although the cycles of energy and water are closely related. Wijffels et al. (1992) used values of the convergence of water vapor flux in the atmosphere (Q) from Bryan and Oort (1984) and discharge data from Baumgartner and Reichel (1975) to estimate the freshwater transport by oceans and atmosphere, but their results seem to have large uncertainties, and they did not present the freshwater transport by rivers. The annual freshwater transport in the meridional (north–south) direction can be estimated from Q and river discharge with the geographical information such as the location of river mouths and basin boundaries (Oki et al., 1995). Results are introduced in the next section. Rivers in global hydrological cycle The freshwater supply to the ocean has an important effect on the thermohaline circulation because it changes the salinity and thus the density. The impacts of freshwater supply to ocean are enhanced in the case of large river basins because they concentrate freshwater from large 899 Water and Energy Cycles, Figure 2 The annual freshwater transport in the meridional (north–south) direction by atmosphere, ocean, and rivers (land) (Oki et al., 1995). Water vapor flux transport of 20 1012 m3/year corresponds to approximately 1.6 1015 W of latent heat transport. Shaded bars behind the lines indicate the fraction of land at each latitudinal belt. areas to their river mouths. It also controls the formation of sea ice and its temporal and spatial variations. Annual freshwater transport by rivers and the atmosphere to each ocean is summarized in Table 2 based on the atmospheric water balance (Oki, 1999). Some part of the water vapor flux convergence remains in the inland basins. There are a few negative values in Table 2, suggesting that net freshwater transport occurs from the ocean to the continents. This is physically impossible and is caused by errors in the source data. Although detailed discussion of the values in Table 2 may not be meaningful, it is nevertheless interesting that such an analysis does make at least qualitative sense using the atmospheric water balance method with the geographical information on basin boundaries and the location of river mouths. In this analysis, it should be noted that the total amount of freshwater transport into the oceans from the surrounding continents has the same order of magnitude as the freshwater supply that comes directly from the atmosphere, expressed by Q. The annual freshwater transport in the meridional direction has also been estimated based on the atmospheric water balance with the results shown in Figure 2. The estimates in Figure 2 are the net transport, that is, in the case of oceans, it is the residual of northward and southward freshwater fluxes by all ocean currents globally, and it cannot be compared directly with individual ocean currents such as the Kuroshio and the Gulf Stream. It should be noted that the directions of river flows are mostly steady unlike the ocean or atmospheric circulations and concentrate the freshwater in one direction throughout the year. 900 WATER AND ENERGY CYCLES Transports by the atmosphere and by the ocean have almost the same absolute values at each latitude but with different signs. The transport by rivers is about 10 % of these other fluxes globally (this may be an underestimation because Q tends to be smaller than the river discharge observed at a land surface). The negative (southward) peak by rivers at 30 S is mainly due to the Paraná River in South America, and the peaks at the equator and 10 N are due to rivers in South America, such as the Magdalena and Orinoco. Large Russian rivers, such as the Ob, Yenisey, and Lena, carry freshwater toward the north between 50 N and 70 N. These results suggest that the hydrological processes over land play nonnegligible roles in the climate system, not only by the exchange of energy and water at the land surface but also through the transport of freshwater by rivers, which affects the water balance of the oceans and forms a part of the hydrological circulation on the Earth among the atmosphere, continents, and oceans. Remote sensing in global hydrological cycle Over the past 20 years, significant progress has been made toward routine monitoring of certain fluxes and storages in the global hydrological cycle by satellite remote sensing, while continued progress is anticipated from upcoming missions. Table 3 gives an overview on the past, current, and planned future hydrological remote sensing capabilities. Some of these important achievements in measuring global water cycle components are discussed below: Precipitation – The remote sensing precipitation obser- vation systems were originated about three decades ago (Griffith et al., 1978). Most rainfall products measured from spaceborne platforms, for example, NEXRAD (Next-Generation Radar) and TRMM (Tropical Rainfall Measuring Mission) Precipitation Radar rainfall measurements, are typically provided at large space–time scales suitable for coarse-scale meteorological applications, such as climatologic analysis and water balance studies. Satellite rainfall retrieval is subject to errors caused by various factors ranging from infrequent sampling to the high complexity and variability in the relationship of the measurement to precipitation parameters. Therefore, advanced retrieval algorithm and spatial downscaling techniques (e.g., PERSSIAN, Precipitation Estimation from Remotely Sensed Information Using Artificial Neural Networks; Sorooshian et al., 2000) are necessary to be applied to the satellite rainfall data for the purpose of the study of global water cycle. The planned Global Precipitation Measurement (GPM; http://gpm.gsfc.nasa.gov/), which is an international satellite mission scheduled to launch in 2014, envisions a large constellation of passive microwave sensors to provide global rainfall products at the temporal resolution of 3 h and spatial resolution Water and Energy Cycles, Table 3 Summary of past, current, and planned future hydrological satellite remote sensing capabilities Satellite sensors/missions Hydrological variables measured Time period of observation Geostationary Operational Environmental Satellite (GOES) Special Sensor Microwave/Imager (SSM/I) Scanning Multichannel Microwave Radiometer (SMMR) European Remote Sensing-1 (ERS-1) Radar Altimeter and SAR TOPEX/Poseidon European Remote Sensing-2 (ERS-2) Radar Altimeter and SAR Tropical Rainfall Measuring Mission (TRMM) Advanced Microwave Sounding Unit (AMSU) Moderate Resolution Imaging Spectroradiometer (MODIS)/Terra Geosat Follow-On Mission Atmospheric Infrared Sounder (AIRS)/Aqua Advanced Microwave Scanning Radiometer – EOS (AMSR-E)/Aqua Moderate Resolution Imaging Spectroradiometer (MODIS)/Aqua ENVISAT Radar Altimeter-2 and ASAR Jason-1 Gravity Recovery and Climate Experiment (GRACE) Soil Moisture and Ocean Salinity (SMOS) Soil Moisture active Passive (SMAP) Global Precipitation Measurement (GPM) Precipitation 1978–present Precipitation, snow water equivalent, snow extent Snow water equivalent, snow extent 1987–present 1978–1987 Surface water height, soil moisture 1991–2000 Surface water height Surface water height, soil moisture 1993–2005 1996–present Precipitation Precipitation Snow extent, evapotranspirationa 1998–present 1998–present 2000–present Surface water height Water vapor Soil moisture, snow water equivalent 2000–present 2002–present 2002–present Snow extent, evapotranspirationa 2002–present Surface water height, soil moisture Surface water height Total water storage, soil moisture,a groundwatera Soil moisture Soil moisture Precipitation 2002–present 2002–present 2002–present 2009 - present Scheduled in 2014 Scheduled in 2014 a Not directly measured; ancillary data required in the estimation WATER AND ENERGY CYCLES of 100 km2 (Hossain and Lettenmaier, 2006; Smith et al., 2007). The GPM mission will provide almost real-time rainfall information at three hourly sampling interval on a global basis, thus allowing hydrologists an opportunity to improve flood prediction capability for medium to large river basins, especially in the underdeveloped world where in situ precipitation gauge networks are sparse. Another current community-wise agenda on the satellite precipitation missions is the “Program for Evaluation of High Resolution Precipitation Products (PEHRPP),” which is an effort led by the International Precipitation Working Group (IPWG) to evaluate the quality of currently available high-resolution satellite rainfall products (Ebert et al., 2007). Terrestrial water storage – Another contribution of remote sensing technologies to understand the global hydrological cycle has been the measurement of terrestrial water storage (TWS) and its components (Famiglietti, 2004). The major achievements in this aspect include (1) soil moisture retrieval (Jackson et al., 2002; Njoku et al., 2003) from the Soil Moisture and Ocean Salinity (SMOS; Pellarin et al., 2003) and Hydrosphere Satellite Mission (Hydros; Entekhabi et al., 2004), (2) surface water height measurement using the altimetry (Alsdorf and Lettenmaier, 2003; Alsdorf et al., 2007), and (3) integrated measurement of TWS from the Gravity Recovery and Climate Experiment (GRACE) mission (Tapley et al., 2004), among others. TWS is a fundamental component of the global water cycle and an integrated measure of surface and subsurface water availability (i.e., the sum of soil moisture, groundwater, snow and ice, waters in vegetation and biomass, and surface water in lakes, reservoirs, wetlands, and river channels snow). It has great importance for the management of water resources, agriculture, and ecosystem health. TWS controls the partitioning of precipitation into evaporation and runoff and the partitioning of net radiation into the sensible and latent heat fluxes, with significant implications for precipitation recycling, hydrological extremes (i.e., flood and drought), and land memory processes (Shukla and Mintz, 1982; Eltahir and Bras, 1996; Eltahir and Yeh, 1999; Koster et al., 2004), while TWS change is a basic quantity in closing the terrestrial water balance from local to regional and global scales (Ngo-Duc et al., 2005; Güntner et al., 2007; Yeh and Famiglietti, 2008). Despite its importance, its role in the global hydrological cycle has received little attention relative to other hydrological processes (Lettenmaier and Famiglietti, 2006), and there are no extensive networks currently in existence for monitoring TWS changes. Satellite observations of the Earth’s time-variable gravity field from the GRACE mission (Tapley et al., 2004) present a new opportunity to explore the feasibility of monitoring TWS variations from space. Short-term (monthly, seasonal, and interannual) temporal variations in gravity on land are largely due to corresponding changes in vertically 901 integrated terrestrial water storage (Wahr et al., 2004). This has allowed for the first time observations of variations in total TWS at large river basins (Swenson et al., 2003; Chen et al., 2005; Seo et al., 2006; Winsemius et al., 2006) to continental scales (Wahr et al., 2004; Ramillien et al., 2005; Schmidt et al., 2006; Klees et al., 2007; Syed et al., 2008); for new approaches to remote estimation of discharge (Syed et al., 2005) and evapotranspiration (Rodell et al., 2004); of groundwater variations (Rodell and Famiglietti, 2002; Yeh et al., 2006) and snow water storage (Frappart et al., 2005); and for validation and improvement of the terrestrial water balance in the global land surface hydrological models (Niu and Yang, 2006; Swenson and Milly, 2006). Water vapor – Another example of remote sensing measurements is the global water vapor distribution. Water vapor is one of the most important greenhouse gases; small amounts of water vapor in the form of clouds can strongly affect both shortwave and longwave radiations. Buoyancy created by changes in the phase of water largely drives the vertical motion of the atmosphere. The Atmospheric Infrared Sounder (AIRS) on board NASA’s Earth Observing System (EOS) Aqua spacecraft measures water vapor at 2 km vertical resolution with 10–15 % accuracy in clear sky conditions (Moustafa et al., 2006). Such information is available only in a small percentage of the globe because most of the AIRS pixels are cloud contaminated. Success in applying AIRS data has been achieved via selectively choosing cloud-free pixels. Additionally, surface lidar can also provide useful information on water vapor, temperature, and winds in clear air below clouds although they are rather expensive and delicate instruments of limited deployment and coverage. Global Positioning System (GPS) also holds promise to be used as a water vapor sensor when combined with independent temperature analyses. 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Yeh2 1 Institute of Industrial Science, University of Tokyo, Tokyo, Japan 2 Department of Civil and Environmental Engineering, National University of Singapore, Singapore, Singapore Synonyms Freshwater resources; Runoff Definition Water resources mainly correspond to freshwater which can be utilized by human beings for irrigation, industrial purposes, and domestic uses. Even though the stocks of water in natural and artificial reservoirs are helpful to increase the available water resources for human society, the flow of water should be mainly regarded as water resources since water is a naturally circulating resource that is constantly recharged. Maximum (potential) availability of renewable freshwater resources under given climatic condition has been traditionally regarded as precipitation minus evapotranspiration, which corresponds to runoff. However, transpiration from soil moisture through crops is contributing to human society and the flux is regarded as water resources as well. Therefore, evapotranspiration from soil moisture in croplands is called as green water nowadays, and conventional water resources withdrawn from rivers, surface water, and groundwater are called as blue water. Introduction All organisms, including humans, require water for their survival. Therefore, ensuring adequate and sufficient water supplies is essential for human well-being. Stored waters, such as deep groundwater and water in reservoirs, are often considered as water resources. However, they are a part of hydrological cycles, and groundwater is also circulating even though its speed could be rather slow. Some groundwater is called “fossil water,” which implies that the aquifer was recharged long term ago and that it will be depleted if being overly exploited just as fossil fuels. From this point of view, flows of water should be considered as water resources in the assessments, designing, and planning of sustainable water usage. Global water balance and water resources Conventionally, available freshwater resources are defined as annual runoff estimated by compiling observed river discharge data or by using water balance equation (i.e., the residual of annual precipitation minus evapotranspiration; see Baumgartner and Reichel, 1975; Korzun, 1978). Such an approach has and is continuing to provide information on the annual freshwater resources for many countries. Theoretically, available annual freshwater resources can be derived using annual 904 WATER RESOURCES precipitation (P) and evapotranspiration (E) measurements; however, the residual term annual runoff (R), namely, annual available freshwater resources, is relatively small compared to P and E. P and E are approximately 1,100 and 1,200 mm/year, respectively, over the ocean and 800 and 500 mm/year over the land (Oki, 1999). Therefore, the estimation of R could contain certain amount of uncertainties due to even comparatively small errors in the estimation of P and E. Atmospheric water balance computation using the information of water vapor flux convergence could be alternatively used to estimate global runoff distribution owing to the advent of four-dimensional data assimilation (4DDA) technique in atmospheric science (Oki et al., 1995). Even though the microwave remote sensing of precipitable water (vertically integrated water vapor) and temperature profiles is contributing to improve the quality of 4DDA data, this approach is suitable for global overview of the distribution of available freshwater resources (Trenberth et al., 2007). Model-based estimation of available freshwater resources Relatively simple water balance models have been used to estimate grid-based available freshwater resources in the world (Alcamo et al., 2000; Vörösmarty et al., 2000). Later, land surface models (LSMs) were applied for the estimation of global water cycles (Oki et al., 2001; Dirmeyer et al., 2006) and for the global water resources assessment by comparing the demand side for both the twentieth century and the future (Shen et al., 2008). Some of these estimates on global water balance were calibrated by multiplying an empirical factor inferred from available observed river discharge data. However, recent model developments are capable to estimate runoff with adequate accuracy without the need of calibration (Hanasaki et al., 2008a). Such estimates by using numerical models require external atmospheric forcing data such as precipitation and temperature, and the accuracy of estimated freshwater resources is highly dependent on the quality of the forcing data (Oki et al., 1999). Satellite remote sensing can provide reasonable estimates of the forcing data for the regions with low density of in situ observations, particularly with regard to the quantities such as precipitation and downward shortwave and longwave radiation. Additionally, 4DDA reanalysis products have been commonly used as the forcing data for air temperature, humidity, and wind speed. In order to assure the quality of the estimations, the results of land surface simulations have been validated, typically, by comparing with in situ discharge observations. However, recently, various satellite remote sensing observations have been used to validate hydrological variables other than discharge such as inundated area (Prigent et al., 2007) and total terrestrial water storage (Kim et al., 2009). Also, some remote sensing variables, such as topsoil moisture (Reichle and Koster, 2005) and snow cover (Zaitchik and Rodell, 2009), have been assimilated into modeling system to reduce the simulation uncertainty. Global distribution of available freshwater resources Figure 1 illustrates the global distribution of annual runoff estimated by land surface models from the multi-model ensemble simulations under the Global Soil Wetness Project (Dirmeyer et al., 1999). Annual runoff (Figure 1) can be considered as the maximum available renewable freshwater resources (RFWR) if waters from upstream cannot be reused at downstream due to consumptive use or water pollution (Oki et al., 2001). Runoff is accumulated through river channels and realized as river discharge (Figure 1). River discharge can be considered as the potentially maximum available RFWR if all the water from upstream can be used. Both runoff and river discharge are concentrated in limited areas, and their amounts range from nearly zero in desert areas to more than 2,000 mm/ year in the tropics and greater than 200,000 m3/s of discharge on average near the river mouth of the Amazon (Oki and Kanae, 2006). Some macroscale hydrological models recently developed for water resources assessments have been equipped with a reservoir operation scheme (e.g., Haddeland et al., 2006; Hanasaki et al., 2006) in order to simulate the “real” hydrological cycles and provide information on actually available freshwater resources. These water resources have been significantly influenced by anthropogenic activities and modified from the “natural” hydrological cycles even on the global scale in “Anthropocene” (Crutzen, 2002). Water resources for crop growth An integrated water resources model can further be linked to a crop growth sub-model designed for inferring the timing and quantity of irrigation requirement and estimating environmental flow (Hanasaki et al., 2008a). Such an approach enables the assessment of the balances between demand and supply of water resources on a daily time scale. Using this approach (Hanasaki et al., 2008a), a gap in the sub-annual distribution of water availability and water use can be detected in the Sahel, the Asian monsoon region, and southern Africa, where the conventional water scarcity indices such as the ratio of annual water withdrawal to water availability or the available annual water resources per capita (Falkenmark and Rockström, 2004) cannot properly detect the stringent balance between water demand and supply (Hanasaki et al., 2008b). Moreover, macroscale numerical models can be associated with a scheme tracing the origin of flow path as if tracing the isotopic ratio of water (Yoshimura et al., 2004). Such a water flow-tracing function, if incorporated into an integrated water resources model (e.g., Hanasaki et al., 2008a) with the consideration of multiple sources of water withdrawals including streamflow, medium-size WATER RESOURCES 905 Water Resources, Figure 1 Global distribution of (a) mean annual runoff (mm/year), (b) mean annual discharge (million m3/year), and (c) water scarcity index Rws. Water stress is higher for regions with larger Rws (Oki and Kanae, 2006). 906 WATER RESOURCES Water Resources, Figure 2 (a) The ratio of blue water to the total evapotranspiration during a cropping period from irrigated cropland (the total of green and blue water). The ratios of (b) streamflow, (c) medium-size reservoirs, and (d) nonrenewable groundwater withdrawals to blue water (Hanasaki et al., 2010). reservoirs, and nonrenewable groundwater in addition to precipitation on the croplands, is able to trace the origin of water used to produce the major crops (Hanasaki et al., 2010). Figure 2a illustrates the ratio of blue water to the total evapotranspiration during the cropping period in irrigated croplands. Here the blue (green) water is defined as the amount of water evapotranspiration originated from irrigation (precipitation) (see Falkenmark and Rockström, 2004). Figure 2a shows distinctive geographical distribution of the pattern of the dependence on blue water. Total annual blue water consumption is estimated approximately as 1,500 km3/year, which is about 20 % of the total consumptive use of approximately 7,000 km3/year of water resources in croplands during the cropping period (Hanasaki et al., 2009). Further, the ratios of the source of blue water are shown for streamflow including the influence of large reservoirs, medium-size reservoirs, and nonrenewable groundwater in Figure 2b–d, respectively. Areas highly dependent on nonrenewable groundwater are detected in the Pakistan, Bangladesh, and in western part of India, north and western parts of China, some regions in the Arabian Peninsula, and the western part of the United States and Mexico. Cumulative nonrenewable groundwater withdrawals estimated by the model correspond fairly well with the country statistics of total groundwater withdrawals, and such an integrated model has the ability to quantify global virtual water flow (Allan, 1998; Oki and Kanae, 2004) and “water footprint” (Hoekstra and Chapagain, 2007) through the major crop water consumption (Hanasaki et al., 2009). Remote sensing applications in water resources The last two decades have witnessed significant achievements toward routine monitoring of global hydrologic cycle components by using remote sensing techniques, while continued progress is anticipated from upcoming missions. Among these space efforts, the following missions are particularly relevant to water resources applications: 1. Integrated measurement of terrestrial water storage (TWS) from the Gravity Recovery and Climate Experiment (GRACE) mission (Tapley et al., 2004), launched in 2002 2. Soil moisture retrieval from the Soil Moisture and Ocean Salinity (SMOS; Kerr et al., 2000), launched WATER RESOURCES by the European Space Agency (ESA) in 2009, and the Soil Moisture Active and Passive (SMAP) mission (Entekhabi et al., 2004), planned to launch by NASA in 2014 3. Surface water height measurement using the altimetry from the Surface Water Ocean Topography (SWOT) mission (Alsdorf and Lettenmaier, 2003), planned to launch by NASA in 2014 TWS is a fundamental component of in closing the terrestrial water balance from local to regional and global scales. As an integrated measure of surface and subsurface water availability, TWS bears significant implications for water resources planning and management. Despite its importance, there are no extensive networks currently in existence for monitoring TWS changes. Satellite observations of Earth’s time-variable gravity field from the GRACE mission present a new opportunity to explore the feasibility of monitoring TWS variations from space. Short-term (monthly, seasonal, and interannual) temporal variations in gravity on land are largely due to corresponding changes in vertically integrated terrestrial water storage (Wahr et al., 2004). This has allowed for the first time observations of variations in total TWS at large river basins (Swenson et al., 2003) to continental scales (Wahr et al., 2004). Also, application using GRACE data has been made in the estimation of discharge (Syed et al., 2005), evapotranspiration (Rodell et al., 2004), groundwater variations (Yeh et al., 2006), snow water storage (Frappart et al., 2005), surface water dynamics (Han et al., 2009), lateral redistribution of water storage through river networks (Kim et al., 2009), and validation and improvement of global land surface hydrological models (Niu and Yang, 2006). The SMOS and upcoming SMAP missions are the first dedicated satellite missions to measure surface soil moisture levels globally. Soil moisture is an important factor which interfaces water and energy exchanges between the land surface/atmosphere and is the most important hydrological quantity for agriculture. Water management for irrigation is a critical issue for global crop production and food safety. Root zone soil moisture, which is strongly related with transpiration (green water), will be more reliably estimated by merging SMOS and SMAP observations with a land surface model in a data assimilation system, even though the enhanced technologies in those satellites are still limited to directly observe only topsoil moisture. It will enable meteorology and food agencies to forecast crop yield and enhance the capabilities of crop water stress decision support systems, monitor global climate change, detect droughts, and conduct flood forecasting and weather prediction. The SWOT satellite mission and its wide-swath (20–120 km) altimetry technology for repeated elevation measurements can measure the water height variations of the global oceans and terrestrial surface waters accurately. For water resources applications, hydrological observations of the temporal and spatial variations in water 907 volumes stored in all wetlands, lakes, and reservoirs are extremely important. However, because of coarse spatial (>100 km) and temporal (>1 month) resolutions, previous researches using altimetry (e.g., Birkett et al., 2002) have been used in only limited conditions and objectives. By measuring water height and area variations in higher spatial (2 m 10 m to 2 m 60 m) and temporal (2 weeks) resolutions which allow accurate estimation of river discharges and lake/wetland storages in remote regions, SWOT will contribute to a fundamental understanding of the terrestrial branch of the global water cycle and hence benefit global water resource planning and management. Conclusions Current advancement of remote sensing technology has not proved to be well capable of observing global water fluxes; thus, it is not an easy task to accurately estimate available freshwater resources based on remotely sensed data. However, remote sensing technique can help in providing necessary information such as meteorological forcing data, land use and land cover, extent of surface water bodies, and topography for the modeling estimation of water resources. Remote sensing of cropland coverage, planting date, and harvesting date, and detection of irrigated areas are necessary for assessing the balances between demand and supply of water resources in addition to the social information, such as population distribution, urban area, industrial water use, and domestic water use. 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J., Green, P., Salisbury, J., and Lammers, R. B., 2000. Global water resources: vulnerability from climate change and population growth. Science, 289, 284–288. Wahr, J., Swenson, S., Zlotnicki, V., and Velicogna, I., 2004. Time variable gravity from GRACE: first results. Geophysical Research Letters, 31, L11501, doi:10.1029/2004GL019779. Yeh, P. J.-F., Famiglietti, J., Swenson, S. C., and Rodell, M., 2006. Remote sensing of groundwater storage changes using gravity recovery and climate experiment (GRACE). Water Resources Research, 42, W12203, doi:10.1029/2006WR005374. Yoshimura, K., Oki, T., Ohte, N., and Kanae, S., 2004. Colored moisture analysis estimates of variations in 1998 Asian monsoon water sources. Journal of the Meteorological Society of Japan, 82, 1315–1329. Zaitchik, B., and Rodell, M., 2009. Forward-looking assimilation of MODIS-derived snow-covered area into a land surface model. Journal of Hydrometeorology, 10, 130–148. Cross-references Agriculture and Remote Sensing Crop Stress Earth Radiation Budget, Top-of-Atmosphere Radiation Irrigation Management Rainfall Surface Water Snowfall Soil Moisture Water and Energy Cycles WATER VAPOR Eric Fetzer Jet Propulsion Laboratory, California Institute of Technology, Pasadena, CA, USA Synonyms Atmospheric humidity; Atmospheric moisture Definition Water vapor. Water in gaseous form, usually mixed with dry air in the Earth’s atmosphere. Water vapor mixing ratio. The ratio of density of water vapor to the density of air. Typical values range from a few grams/kilogram in the tropical lower troposphere to a few micrograms/kilogram around the tropopause. Relative humidity. The ratio of water vapor partial pressure to saturation vapor pressure. A common measure of water vapor amount, but not conserved as an air parcel changes temperature. Mixing ratio is conserved. Saturation vapor pressure. Maximum partial pressure of water vapor adjacent to a plain surface of water or ice. Water vapor saturation vapor pressure follows the Clausius-Clapeyron relation for water and varies approximately exponentially with temperature. Clausius-Clapeyron relation. Equation relating equilibrium pressure of a gaseous substance adjacent to a solid or liquid surface. The Clausius-Clapeyron relation varies exponentially with temperature at about 7 %/K near 909 freezing. In terrestrial atmospheric sciences, this term generally refers to water vapor with respect to liquid water or ice. Latent heat of vaporization. Heat required to convert a unit mass of liquid water to water vapor. The same heat is released when water vapor condenses to liquid, as happens in clouds. Analogous latent heat of fusion refers to conversion between ice and liquid. Water vapor latent heats are very large: about 2.3 106 J/kg for conversion of liquid water to vapor compared to dry air heat capacity of 717 J/kg-K. See American Meteorological Society (2010) and Wallace and Hobbs (2006) for additional terms, including dew point, frost point, and specific humidity. Introduction Water vapor varies significantly throughout the atmosphere. While a trace species in the middle atmosphere, it is the third most abundant gas in the Earth’s lower troposphere. It has three important roles in weather and climate. First, water vapor is the dominant greenhouse gas so it has a significant effect on the planetary energy balance. Second, because the atmospheric capacity for water vapor varies exponentially with temperature, its radiative effects may act to amplify any surface warming; water vapor feedbacks are believed to roughly double anthropogenic warming (Intergovernmental Panel on Climate Change, 2007). Third, clouds and precipitation both begin as water vapor. Thus, water vapor acts indirectly on radiatively important clouds, while its condensation releases latent heat and affects precipitation. A major challenge in weather forecasting is improved precipitation forecasts, and water vapor is the atmospheric source for precipitation. Latent heat release represents about half the warming of the tropical atmosphere and makes a small but important contribution at higher latitudes, especially in storm systems (Hartmann, 1994). The importance of water vapor has made its observation a cornerstone of remote sounding techniques for decades. Influence on weather Thunderstorms and severe weather are significantly enhanced by the presence of water vapor, especially at low levels. Latent heat released by water vapor condensing onto cloud liquid droplets causes warming and reduced density, enhancing convective instability (Emanuel, 1994). This instability is most pronounced where cooler, dry air overlies warm, moist air, as is common in spring, summer, and fall in the American Midwest; high convective instability is a major factor in the formation of tornadoes. Latent heat release is also a major factor in organized tropical convective systems, including hurricanes. Radiative effects and climate feedbacks Water vapor is the dominant greenhouse gas in the atmosphere, with strongest absorption in the middle and upper 910 WATER VAPOR troposphere (400–100 hPa pressure) where many of its infrared spectral lines become saturated (Liou, 1992). Water vapor is not well mixed (unlike other greenhouse gases such as carbon dioxide or methane), so estimating its radiative effects has required direct observations of its distribution. This has presented a challenge, because only recently have high information content water vapor data sets become available from satellites (see below). The global upper tropospheric water vapor record prior to 2002 was based on regression models of local relative humidity versus satellite-observed brightness temperatures in the 6.3 mm infrared band from broadband radiometers (Soden et al., 2005). Other early studies addressed upper tropospheric water vapor variability using balloonborne sensors, but only in the early twenty-first century did those sensors become sensitive enough to detect the very small water vapor amounts typical of the upper troposphere (Voemel et al., 2007). Water vapor is also an important factor in climate feedbacks. Atmospheric water vapor has an enormous source at the ocean surface, depends strongly on temperature through the Clausius-Clapeyron relation, and acts as a greenhouse gas. Combined, these factors give water vapor a positive feedback (amplifying effect) on surface warming or cooling. Dessler et al. (2008) used satellite observations and El Nino-Southern Oscillation as a proxy for carbon dioxide-induced surface warming and examined radiative forcing kernel functions from climate models. They showed that climate models’ water vapor feedback in response to warming roughly doubled surface warming, consistent with the observed atmospheric response (see also Dessler and Sherwood, 2009). In further confirmation of water vapor response to surface warming, Santer et al. (2007) attributed an increase in a 20 year record of total water vapor as a response to anthropogenic warming. Direct confirmation of upper tropospheric water vapor response to surface warming – and verification of a positive water vapor feedback – remains a challenge (Boers and van Meijgaard, 2009; National Research Council, 2003). Also, the mechanisms whereby water vapor is mixed throughout the troposphere are not fully understood (Gambacorta et al., 2008). The vertical distribution of water vapor is important in feedback processes because lower tropospheric water vapor strongly couples surface changes to the atmosphere. Climate models are based on deep convective parameterizations, which can lead to biased water vapor distributions in models (Pierce et al., 2006) along with height-dependent temperature biases (John and Soden, 2007). Because water vapor and temperature are coupled by deep convection, these biases are related and their radiative contributions partly cancel (National Research Council, 2003; Bony et al., 2006). John and Soden (2007), following Held and Soden (2006), show evidence that climate model feedbacks are robust despite biases in mean fields. While the water vapor feedback is well understood, parameterization of cloud physics in climate models (including the coupling between clouds and water vapor) is a major source of uncertainty in climate projection (Stephens, 2005; National Research Council, 2003). Remote sensing of water vapor The basis of all remote sensing or remote sounding systems is an instrument, or set of instruments, to observe electromagnetic radiation. (Remote sounding is the process of inferring vertical structure of temperature, clouds, and constituent gases like water vapor from observed spectral information.) In the case of water vapor, the observations are typically in the 6.3 mm infrared band or the 183 GHz microwave band. In addition to an instrument making observations, remote sensing systems usually include a numerical post-processing system to retrieve vertical distributions of geophysical parameters from the calibrated observed radiances. Therefore, remote sensing “observations” of water vapor (and many other atmospheric quantities) are in fact inferences about the state of the atmosphere. This makes the attribution of uncertainties an especially important and challenging component of remote sounding. History of satellite remote sensing of water vapor Satellite remote sensing of atmospheric water vapor extends back to the 1960s, when a variety of remote sensing instruments were launched into polar and geosynchronous orbits (Kidder and Vonder Haar, 1995). Many of these instruments included observations at wavelengths sensitive to water vapor. By the 1970s, basic methodologies for observing water vapor from space were established, and the United States began launching the TIROS Operational Vertical Sounder (TOVS) series of satellite instruments dedicated to tropospheric sounding. TOVS was first launched in 1978 and included the HighResolution Infrared Sounder (HIRS) and the Microwave Sounding Unit. The highest-quality long-term satellite water vapor record is from Special Sensor Microwave Imager (SSM/I) instrument, though only as total water vapor. Other improvements in water vapor include the incorporation of four microwave water vapor channels with the Advanced Microwave Sounding Unit-B (AMSU-B) in 2000. AMSU-A, part of the Advanced TOVS sounders, included only a single water vapor channel. Technological advances have produced infrared instruments with higher spectral resolution than their microwave counterparts. This improved spectral resolution leads to greater information about water vapor vertical structure. The strength of microwave instruments is their greater coverage in the presence of clouds, though at the cost of vertical resolution. The Atmospheric Infrared Sounder (AIRS) instrument, launched in 2002 by the United States National Aeronautics and Space Administration (NASA) on the Aqua spacecraft into a 1:30 equator WATER VAPOR crossing orbit, provides detailed information about water vapor (and a number of other quantities) from the surface to the upper troposphere with its 2000+ infrared channels and 20 microwave channels in a co-boresited AMSU-A instrument (Chahine et al., 2006). A similar instrument, the Infrared Atmospheric Sounding Interferometer (IASI), launched in 2006 by the European Space Agency provides similar information in a 9:30 local orbit on the first of three Meteorological Operational satellites (Centre National D’Etude Spatiales, 2010). IASI observations are collocated with microwave observations from the Microwave Humidity Sounder (Polar Orbiting Environmental Satellite, 2010) for additional constraints on the water vapor distribution. Other modern satellite instruments observing water vapor include the Microwave Limb Sounder (MLS), a limb-viewing instrument with sensitivity from the upper troposphere to the stratosphere and carried on the NASA Aura platform. This is a follow-on to an MLS instrument on the Upper Atmosphere Research Satellite (UARS) but with sensitivity to both temperature and water vapor (UARS MLS could detect variations in relative humidity only; see Fueglistaler for a review of instruments sensing the upper troposphere and stratosphere). Aura carries the Tropospheric Emission Spectrometer, with the unique ability to sense the water vapor isotopologue HDO in the troposphere (Worden et al., 2007). Acknowledgment This research was carried out at the Jet Propulsion Laboratory, California Institute of Technology, under a contract with the NASA. Bibliography American Meteorological Society, 2010. Online glossary. http:// amsglossary.allenpress.com/glossary/. Boers, R., and van Meijgaard, E., 2009. What are the demands on an observational program to detect trends in upper tropospheric water vapor anticipated in the 21st century? Geophysical Research Letters, doi:10.1029/2009GL040044. Bony, S., Colman, R., Kattsov, V. M., Allan, R. P., Bretherton, C. S., Dufresne, J.-L., Hall, A., Hallegatte, S., Holland, M. M., Ingram, W., Randall, D. A., Soden, B. J., Tselioudis, G., and Webb, M. J., 2006. How well do we understand and evaluate climate change feedback processes? Journal of Climate, 19, 3445–3482. Centre National D’Etude Spatiales, 2010. http://smsc.cnes.fr/IASI/ index.htm. Chahine, M. T., Pagano, T. S., Aumann, H. H., Atlas, R., Barnet, C., Blaisdell, J., Chen, L., Divakarla, M., Fetzer, E. J., Goldberg, M., Gautier, C., Granger, S., Hannon, S., Irion, F. W., Kakar, R., Kalnay, E., Lambrigtsen, B. H., Lee, S.-Y., Le Marshall, J., McMillan, W. W., McMillin, L., Olsen, E. T., Revercomb, H., Rosenkranz, P., Smith, W. L., Staelin, D., Strow, L. L., Susskind, J., Tobin, D., Wolf, W., and Zhou, L., 2006. The atmospheric infrared sounder (AIRS): improving weather forecasting and providing new data on greenhouse gases. Bulletin of the American Meteorological Society, 87, 911–926. 911 Dessler, A. E., and Sherwood, S. C., 2009. A matter of humidity. Science, 323, 1020–1021. Dessler, A. E., Zhang, Z., and Yang, P., 2008. Water-vapor climate feedback inferred from climate fluctuations, 2003–2008. Geophysical Research Letters, doi:10.1029/2008GL035333. Emanuel, K., 1994. Atmospheric Convection. New York: Oxford University Press. Available online: http://books.google.com/books. Fueglistaler, S., Dessler, A. E., Dunkerton, T. J., Folkins, I., Fu, Q., and Mote, P. W., 2009. Tropical tropopause layer. Reviews of Geophysics, doi:10.1029/2008RG000267. Gambacorta, A., Barnet, C., Soden, B., and Strow, L., 2008. An assessment of the tropical humidity-temperature covariance using AIRS. Geophysical Research Letters, doi:10.1029/ 2008GL033805. Hartmann, D. L., 1994. Global Physical Climatology. San Diego: Academic. Held, I. M., and Soden, B. J., 2006. Robust responses of the hydrological cycle to global warming. Journal of Climate, 19, 5686–5699. Intergovernmental Panel on Climate Change, 2007. Summary for policymakers. In Solomon, S., Qin, D., Manning, M., Chen, Z., Marquis, M., Avery, K. B., Tignor, M., and Miler, H. L. (eds.), Climate Change 2007: The Physical Science Basis. Contribution of Working Group I to the Fourth Assessment Report of the Intergovernmental Panel on Climate Change. Cambridge, NY: Cambridge University Press. John, V. O., and Soden, B. J., 2007. Temperature and humidity biases in global climate models and their impact on climate feedbacks. Geophysical Research Letters, doi:10.1029/ 2007GL030429. Kidder, S. Q., and Vonder Haar, T. H., 1995. Satellite Meteorology: An Introduction. San Diego: Academic. Liou, K. N., 1992. Radiation and Cloud Processes in the Atmosphere. New York: Oxford University Press. National Research Council, 2003. Understanding Clime Change Feedbacks. Washington, DC: National Academies. Pierce, D. W., Barnett, T. P., Fetzer, E. J., and Gleckler, P. J., 2006. Three-dimensional tropospheric water vapor in coupled climate models compared with observations from the AIRS satellite system. Geophysical Research Letters, doi:10.1029/ 2006GL027060. Polar Orbiting Environmental Satellite, 2010. http://goespoes.gsfc. nasa.gov/poes/instruments/mhs.html. Santer, B. D., Mears, C., Wentz, F. J., Taylor, K. E., Gleckler, P. J., Wigley, T. M. L., Barnett, T. P., Boyle, J. S., Bruggemann, W., Gillett, N. P., Klein, S. A., Meehl, G. A., Nozawa, T., Pierce, D. W., Stott, P. A., Washington, W. M., and Wehner, M. F., 2007. Identification of human-induced changes in atmospheric moisture content. Proceedings of the National Academy of Sciences, 104(39), 15248–15253. Soden, B. J., Jackson, D., Ramaswamy, V., Schwarzkopf, M. D., and Huang, X., 2005. The radiative signature of upper tropospheric moistening. Science, 310, 841–844. Stephens, G. L., 2005. Cloud feedbacks in the climate system: a critical review. Journal of Climate, 18, 237–273. Voemel, H., David, D. E., and Smith, K., 2007. Accuracy of tropospheric and stratospheric water vapor measurements by the cryogenic frost point hygrometer: instrumental details and observations. Journal of Geophysical Research, doi:10.1029/ 2006JD007224. Wallace, J. M., and Hobbs, P. V., 2006. Atmospheric Science: An Introductory Survey. San Diego: Academic. Worden, J., Noone, D., and Bowman, K., 2007. Importance of rain evaporation and continental convection in the tropical water cycle. Nature, 445, 528–532. 912 WEATHER PREDICTION WEATHER PREDICTION Peter Bauer European Centre for Medium-Range Weather Forecasts (ECMWF), Reading, UK Synonyms Weather forecasting Definition Weather. State of the atmosphere and its day-to-day variation, mostly described by temperature, wind, cloudiness, and precipitation. Weather Prediction. Prediction of weather at a given time and location using numerical models and observations. Numerical atmospheric modeling Numerical models are used to simulate the evolution of all those processes in the atmosphere and at surfaces that affect the atmospheric state. Increasingly, these models add complexity to the modeled components of atmosphere and surfaces that go beyond the basic formulation of mass, heat, and momentum transport. With increasing complexity of the models, a wider range of spatial and temporal process scales has to be accounted for and the diversity and nonlinearity of the modeled processes increases as well (Kalnay, 2003). In many applications, numerical models or model output are combined, for example, by nesting smallerscale models into larger-scale models; by coupling of models for the atmosphere and land surfaces (see “Ocean-Atmosphere Water Flux and Evaporation”; “Land-Atmosphere Interactions, Evapotranspiration”), hydrology, waves, and oceans; and by coupling of atmospheric dynamics with chemistry models. Global numerical models usually employ a set of primitive equations to describe atmospheric dynamics under the assumption of momentum conservation, heat exchange through thermodynamics, and mass conservation (see “Atmospheric General Circulation Models”). Processes with scales well below the scales that the numerical model can resolve are described by physical parameterizations that approximate the effect of sub-grid processes on the resolved scales and vice versa. Among these are radiation processes (see “Radiation, Electromagnetic”), cloud condensation and convection, orographic drag, turbulent diffusion, and most surface processes (Kalnay, 2003). Since most processes exhibit nonlinear behavior and are discretized in space and time, the corresponding equations are solved numerically. The choice of solution method depends on the model type. Some global models are spectral models, where the horizontal dimension is described by a set of waves and where the horizontal resolution is proportional to the highest defined wave number. Others solve the above equations on structured or unstructured horizontal grids. The vertical dimension is usually defined by finite layers with varying choice of coordinate systems (e.g., sigma, eta, theta, hybrid coordinates; e.g., Warner, 2011). At operational numerical weather prediction (NWP) centers, numerical models are run as part of the analysis system that estimates the state of the (global) atmosphere at a given time as well as for producing the forecast over the desired time range. The analyses are used to initialize the forecast model runs. These deterministic forecasts are often complemented by ensemble forecasts for which a set of forecasts are produced from perturbed initial conditions, possibly using further stochastic input. The perturbations are supposed to represent the uncertainty of the initial state estimate as well as the model, so that the ensemble of forecasts provides an estimate of forecast uncertainty. To reduce computational cost, the ensemble forecasts are run at lower spatial resolutions than the deterministic model. With increasing forecast range (monthly/ seasonal), ensemble-type modeling becomes more important because the nonlinear response to small differences in the initial conditions and model errors become large and the knowledge of ensemble forecast spread is crucial for interpreting forecast skill. Atmospheric data assimilation Data assimilation systems (see “Data Assimilation”) in NWP provide the mathematical framework for performing atmospheric analyses that represent the best estimate of the state of the atmosphere at a certain time. The quality of the forecast depends on both the accuracy of the numerical model and the accuracy of the initial state estimate. The initial state estimate is called the analysis and represents an inversion problem. In general, this inversion problem is underdetermined so that the analysis must employ information from a priori data (in NWP usually short-range forecasts initialized with previous analyses) and observations using a mathematical framework to optimally combine the two. The complexity of the data assimilation system to be used depends on the application and the affordable computational cost and can range from simple interpolation techniques to four-dimensional variational and ensemble Kalman filter schemes or even nonlinear methods (Daley, 1991; Ide et al., 1997; Rabier, 2005). Global analysis systems are solving the above inversion problem with state vector dimensions of the order of 108 (the product of the number of grid points, number of levels, and dimension of state vector) and observation vector dimensions of the order of 107 (product of number of observation points, number of levels, or satellite instrument channels/range gates). Today, most global operational NWP centers are operating 4D-Var (Lewis and Derber, 1985) data assimilation systems that are capable of combining sparse and heterogeneously distributed data with a dynamical model. A computationally efficient derivative is the incremental 4D-Var method that is based on the assumption that model behavior is nearly linear in the vicinity of a good WEATHER PREDICTION short-range forecast of the model state (first guess) so that the analysis is produced from incrementally updating the first-guess estimate (Bouttier and Courtier, 2002; Rawlins et al., 2007). The advantage of 4D-Var methods lies in the fact that (1) they produce meteorological fields that are dynamically consistent because the optimization is performed over a time window through which the model is integrated and (2) that computationally efficient adjoint models can be used with incremental methods (Courtier et al., 1993). Systems like this are currently in use at ECMWF, the UK Met Office, Météo-France, the Meteorological Service of Canada (MSC), the Japan Meteorological Agency (JMA) (for the regional model), and in the USA at the Naval Research Laboratory (NRL). At regional scales, ensemble-based methods (Andersen, 2001; Houtekamer and Mitchell, 2001) become increasingly implemented because they do not require the development of adjoint models and are capable of explicitly calculating analysis error statistics than can be used for estimating model errors and for initializing ensembles of forecasts (Lorenc, 2003). Due to the necessity of running ensembles, the computational effort is considerable and currently not affordable at global scales with the same horizontal resolutions as obtained with variational assimilation methods. However, increasingly hybrid systems composed of high-resolution variational and low-resolution ensemble data assimilation are implemented in which the ensemble system provides background error statistics for the highresolution analysis. Satellite data in weather prediction Satellite data products Satellite data can be assimilated as level 1 (e.g., calibrated and geo-located electromagnetic radiances) or level 2 (e.g., derived geophysical products such as temperature and humidity; see “Geophysical Retrieval, Overview”) data. The choice depends on various factors, most prominently on the amount of maintenance required in an operational system. Level 2 product retrieval often employs a similar inversion framework as NWP data assimilation system to derive the desired parameters, namely, a priori information from NWP models or climatologies, radiative transfer, error, and bias models. Most level 2 products, however, employ different models and a priori constraints than used in NWP modeling, and their error characteristics are often not well defined or difficult to account for in data assimilations systems (Joiner and Dee, 2000). Further, when retrieval algorithms or instrument characteristics (e.g., loss of channels, increase of noise, and instrument recalibration) change, the NWP data assimilation system must be tuned to the performance of the new product, which is often cumbersome in an operational framework. On the other hand, level 1 satellite data assimilation requires running radiative transfer models (see “Radiative Transfer, Solution Techniques”; “Radiative Transfer, Theory”) that simulate observation-equivalent radiances 913 from the model state. For the most important application of satellite data in NWP, that is, the observation of temperature and moisture structures in the atmosphere, radiative transfer models are very fast and accurate (Saunders et al., 1999; Han et al., 2006), and they allow the flexible use of radiometer channels as a function of situationdependent sensitivity and potential channel corruption. They also greatly simplify observation error and bias estimation. The same approach of level 1 data assimilation is increasingly used for observations sensitive to clouds, precipitation, aerosols, surface characteristics and trace gases and observables from active sensors. History of satellite data usage Derived wind vectors obtained from geostationary cloud (later also water vapor) feature tracking were among the first products used in the early days of satellite data assimilation. The associated cloud feature heights are retrieved from infrared window channels (Nieman et al., 1993), and the data produced good impact on analysis and forecast quality, mainly in the Southern Hemisphere where little conventional observations were available. With the launch of infrared and microwave sounders onboard polar orbiting satellites, more information on vertical temperature structures became available. At that time, the assimilation of retrieved geophysical products was preferred over radiances due to less efficient radiative transfer models, more simple observation operators, and the uncertain impact of satellite data in general. Initial experiments with sounder data produced even negative impact due to unknown bias characteristics of the retrieved profiles and model error statistics that were not tuned to deal with profile data obtained from observations other than radiosondes. An intermediate step between the assimilation of retrieved products and radiance assimilation is based on 1D-Var techniques. Here, a single-column (onedimensional variational or 1D-Var) retrieval is performed with radiance observations, and the retrieval product is assimilated globally by the corresponding global analysis scheme (optimum interpolation, 3D/4D-Var). The advantage of such an approach is that the constraints and assumptions used in the 1D-Var retrieval are very similar to those used in the global scheme because they are performed within the same analysis system. One of the earliest protagonists of this approach were Eyre et al. (1993) in Europe, producing retrieved temperature profiles from TOVS data that comprises observations from the HIRS, MSU, and SSU instruments. This approach has greatly facilitated the promotion of satellite data usage in NWP and was later extended to the use of moisturesensitive channels and instruments such as the AMSU-B and the SSM/I (Phalippou, 1996). Most of these systems were later replaced by direct radiance assimilation, that is, excluding the intermediate retrieval step, for the abovementioned reasons (Andersson et al., 1994; Derber and Wu, 1998). 914 WEATHER PREDICTION The initial concerns over general satellite data impact were mostly overcome by the time 4D-Var data assimilation systems were established, mainly because of the improved treatment of spatial and temporal collocation between data and model simulations, better forecast model error formulations, and the improved interaction of temperature and moisture with model dynamics (Andersson and Thépaut, 2008). In the 1990s and early years of the twenty-first century, the dominant impact of satellite data on numerical weather forecast skill was contributed by ATOVS data that combines HIRS AMSU-A and AMSU-B observations. The first ATOVS sensor package was launched with NOAA-15 in 1998 and has been continued until NOAA-19 (launched in 2009). For both NOAA-18 and NOAA-19, the AMSU-B has been replaced with MHS. Since 2006, the same package is also available on the EPS series METOP. The microwave sounder system is complemented by, so-called, microwave imagers (e.g., SSM/I, and the follow-on instrument SSMIS, AMSR-E onboard Aqua, TMI onboard TRMM, AMSR-2 onboard GCOM-W) that contribute information on sea-surface temperature, nearsurface wind speed, integrated atmospheric moisture, clouds, and precipitation (see “Microwave Radiometers”). A major step forward has been the development of infrared spectrometers (grating spectrometer AIRS onboard EOS Aqua in 2002, interferometer IASI onboard METOP-A/B in 2006/2012 and CrIS onboard Suomi NPP in 2011) that provide unprecedented vertical resolution and measurement accuracy by making available thousands of channels with very high spectral resolution covering the 4–15 mm range. These instruments have produced substantial impact on NWP (Collard and McNally, 2009) and will complement microwave sounding radiometers for the next 20 years. Due to their superior spectral resolution, these instruments are also crucial for atmospheric chemistry and air quality applications (Clerbaux et al., 2009). Further, the utilization of information on atmospheric temperature and moisture structures obtained from the bending of rays of actively transmitted radio waves by the GNSS has vastly increased over the past 5 years (Eyre, 1994; Healy and Thépaut, 2006; see “Limb Sounding, Atmospheric”; “GPS, Occultation Systems”). Currently, the assimilation of GPS signals in occultation mode by dedicated receivers (onboard CHAMP, GRAS onboard METOP, COSMIC Formosat-3 constellation) provides radiosonde-equivalent measurement accuracy, mainly in the upper atmosphere where NWP models tend to exhibit significant errors. Apart from temperature structures in the upper atmosphere, trace gas observations (mainly ozone) can provide valuable contributions to weather prediction since ozone has a strong impact on radiative heating (see “Stratospheric Ozone”). Solar backscattered ultraviolet instruments (e.g., SBUV, OMI, and GOME-1/2) provide the bulk of the observations when sunlight is available, while infrared spectrometers complement the observations at nighttime. Apart from clear-sky satellite data, efforts toward cloud-affected data assimilation have been successful in recent years (Bauer et al. 2010; Geer et al. 2010; Bauer et al. 2011. Bauer et al., 2006a, b). This was mainly achieved by the greatly improved global model moist physical parameterizations and the enhanced computational capabilities that allow the operational employment of multiple scattering radiative transfer models (Greenwald et al., 2002; Bauer et al., 2006c). The explicit treatment of clouds and precipitation in operational analysis systems is accompanied by a large set of uncertainties, for example, greater model nonlinearity, potential dynamic instabilities, large and unknown error structures, as well as unknown model biases (Errico et al., 2007). Atmospheric modeling requires accurate constraints of energy and water fluxes at the interface with land and ocean surfaces. Over oceans, the interaction between wind and waves is treated by wave models. Here, near-surface wind observations from passive (microwave radiometers) or active (scatterometers; see “Radar, Scatterometers”) satellite data and direct observations of wave height from altimeters (see “Radar, Altimeters”) and directional wave spectra from synthetic aperture radars (see “Radar, Synthetic Aperture”) are part of the operational set of assimilated data. Over land surfaces, a recent development in NWP is the use of microwave radiometer observations to constrain soil moisture analysis (see “Soil Moisture”). This can be accomplished by fixed aperture radiometer observations at 6–10 GHz from TMI and AMSR-E (Reichle et al., 2007) and moderate resolution observations at 1.4 GHz from synthetic aperture imagery by SMOS (Merlin et al., 2006). Note that over land surfaces, RFI can impose serious limitations on data quality and usefulness for NWP (see “Radio-Frequency Interference (RFI) in Passive Microwave Sensing”). Also scatterometer is used to extract information on soil properties. Snow and sea-ice products, mostly obtained from passive and active microwave instruments, provide important information for NWP systems on how to define surface albedo and heat fluxes. Figure 1 illustrates the dramatic increase of satellite data diversity and volume since 1996 as well as a prediction until 2017 at ECMWF. The historic evolution of used data does not necessarily reflect the sequential launch of individual satellites but rather the ability of NWP data assimilation systems and computers to digest the available information. Today, data from about 50 different instruments is used constraining geophysical parameters in the atmosphere and at both land and ocean surfaces. The gap between data volume contributed by conventional (i.e., nonsatellite) and satellite data has largely widened. More WEATHER PREDICTION 915 80 Number of satellite data products actively assimilated at ECMWF 70 60 50 40 30 20 10 0 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016 2017 POES COSMIC Megha Tropiques Oceansat TERRA/AQUA AMV Sentinel 1 Suomi-NPP COSMIC-2 AQUA HY-2A Cryosat Sentinel 3 DMSP CNOFS AURA Meteosat SMOS Metop GRACE FY-3A/B GOES EarthCARE ERS-1/2 GCOM-W1 QuikSCAT MTSAT ADM Aeolus ENVISAT TRMM JASON-1/2/3 FY-2C/D GOSAT 60 Total number of observations monitored at ECMWF 50 CONV+AMV TOTAL 40 30 20 10 0 1996 1997 1998 1999 2000 2001 2002 2003 2004 2005 2006 2007 2008 2009 2010 2011 2012 2013 2014 2015 2016 2017 Weather Prediction, Figure 1 History and prediction of satellite data usage in data assimilation at ECMWF in terms of instruments (top) and data volume per day for conventional and satellite observations (bottom). 916 WEATHER PREDICTION Anomaly correlation of 500hPa height forecasts Northern hemisphere Southern hemisphere 98 D+3 95 90 D+5 80 70 D+7 60 50 40 OPERATIONS 30 1980 1982 1984 1986 1988 1990 1992 1994 1996 1998 2000 2002 2004 2006 2008 2010 98 D+3 95 90 ERA-INT ERA-40 80 D+5 70 D+7 60 50 40 REANALYSIS 30 1980 1982 1984 1986 1988 1990 1992 1994 1996 1998 2000 2002 2004 2006 2008 2010 Weather Prediction, Figure 2 Evolution of ECMWF 500 hPa height forecast skill score, expressed as anomaly correlation. Top panel shows day 3 (blue), day 5 (red), day 7 (green) scores between Northern (thick lines) and Southern (thin lines) Hemispheres. Bottom panel shows corresponding scores from ECMWF reanalysis, namely, ERA-40 (gray) and ERA-Interim (colors). than 40 million satellite observations are monitored per day, 95 % of which are assimilated directly as radiances while the remainder is composed of retrieved products. Impact of satellite data on prediction skill Data impact in NWP systems can be quantified in various ways and by assessing the impact on both analyses and forecasts. It is assumed that better analyses will provide better initial conditions for forecasts. Analysis quality is usually quantified by the comparison of NWP model fields to all available observations before and after they have been assimilated. A better system is expected to produce a consistently better fit of the analysis to the observations and should maintain this advantage up to the next short-range forecast that has been initialized with this analysis. Forecast skill can be quantified by comparing forecasts to both observations and analyses. Figure 2 shows the evolution of the ECMWF forecast model skill over the period 1980-2010 for the 3, 5, and 7 day forecasts over the Northern and Southern Hemispheres from the operational system (Figure 2a) and from the ECMWF reanalyses ERA-40 (gray, Uppala et al., 2005) and ERA-Interim (in colors, Uppala et al., 2008). Figure 2a illustrates the substantial increase of skill over three decades and the strong reduction of the difference between skill over the Northern and Southern WEATHER PREDICTION Hemispheres. While the former is the result of the combined evolution of model physics, data assimilation, and observing systems, the latter is only explained by the contribution of satellite data due to the sparseness of conventional data over Southern Hemispheric oceans. Figure 2b provides another angle at disentangling the individual contributions to the time series of NWP forecast skill: The reanalyses have been produced with a model version that has been frozen in 2001 (ERA-40) and 2006 (ERA-Interim), respectively. The small increase of skill over the ERA period is mostly due to the advancement of satellite observations, while the difference between ERA-40 and ERA-Interim is mainly due to the improvement of model and data assimilation system between 2001 and 2006. The larger gap of Northern and Southern Hemisphere forecast skill of ERA-40 compared to ERA-Interim in the overlap period between 1989 and 2001 illustrates the fact that the data assimilation system of ERA-Interim exploits the same satellite observations more effectively than ERA-40. If the impact of individual observing systems (satellites or instruments) is evaluated, the most prominent assessment tool is the so-called Observing System Experiment (OSE), in which new data is added to an existing system and the relative difference to a control system is evaluated. Similarly, individual data sources can be withdrawn from a full system to assess the impact of the withdrawn data. More sophisticated methods involve the model operators that are used in the data assimilation system. Based on forecast error estimates from the difference between forecasts and verifying analysis, the model and observation operator adjoints employed in 4D-Var can be used to deduce the dependence of this forecast error on individual observation types that were used in the initializing analysis (Zhu and Gelaro, 2008). An alternative is the use of ensemble-based analysis and forecasting techniques that evaluate forecast impact from ensemble spread (that represents model error) with or without specific observation types. Finally, Observing System Simulation Experiments (OSSE) provide a framework for evaluating the potential impact of observations that do not yet exist and therefore require an observation simulation from independent NWP models (Arnold and Dey, 1986; Tan et al., 2007). A major OSE impact study was conducted in 2006– 2007 to evaluate the impact of the satellite observing system in global NWP at ECMWF (Kelly and Thépaut, 2007). The experiments demonstrated that (a) infrared spectrometers (AIRS, IASI) produce the largest impact per single instrument on geopotential height and temperature forecast skill and (b) that the currently available constellation of 4–5 microwave sounders (AMSU-A/B/MHS) produces a very similar relative impact compared to one advanced infrared sounder. The results are similar for the Northern Hemisphere but with a smaller dynamic range due to the stronger constraint from denser conventional observations obtained over the continents. Further studies 917 suggest that, apart from infrared and microwave sounders, GPS radio-occultation and scatterometer data produce significant contributions to forecast accuracy since they are most directly related to temperature and surface wind (pressure) with good global coverage. In terms of atmospheric moisture, Kelly and Thépaut (2007) confirmed previous investigations showing that SSM/I data has the strongest impact in the lower troposphere over oceans complemented by AMSU-B data in the mid and upper troposphere (Andersson et al., 2007). The impact of clear-sky microwave imager data is about as strong as that of cloud-affected data (Kelly et al., 2008). Figure 3 shows a different measure of global forecast impact from selected observation types that is obtained from the 24 h forecast error sensitivity to the accumulated sensitivity to all observation types (Cardinali, 2009). The methodology is able to estimate observational impact without having to add/withdraw them but only applies to short-range forecast impact estimation. In Figure 3a, the total impact of the most prominent satellite and conventional observations for a 4 month period (September–December 2008) is shown, while Figure 3b shows the impact per individual observation. It is evident that infrared spectrometers and microwave sounders produce the strongest impact followed by radiooccultation observations. Figure 3b shows that surface observations of pressure over the oceans from drifting buoys but also all types of direct wind observations have a strong impact, which suggests the importance of accurate wind observations from satellites as expected from ADM/Aeolus in the future (see “Lidar Systems”). It is important to note that the impact of individual observations depends on the NWP system and the weight assigned to the observations in the analysis. It is therefore crucial to evaluate the NWP model, the data assimilation system, and the entire set of used observations together to characterize the importance of existing satellite data for NWP and to estimate the potential impact of future systems. Summary Current weather forecast skill is strongly driven by the sophistication of the physical processes represented in numerical models and advanced data assimilation schemes allowing vast amounts of data from conventional sources and satellites to be used. Globally, more than 40 million observations per day are used from about 50 different satellite instruments to produce atmospheric analyses with which the forecast models are initialized. The most important instruments are passive radiometers that measure infrared and microwave radiation emitted by the surface-atmosphere system and that are mostly exploited to derive information on temperature and moisture structures. Increasingly, observations of clouds and rain, surface waves, land surface characteristics, and atmospheric trace gases are added. In parallel, numerical models become increasingly capable of representing more 918 WEATHER PREDICTION GOES-Rad MTSAT-Rad MET 9-Rad MET 7-Rad AMSU-B MHS AMSR-E SSMI GPS-RO IASI AIRS AMSU-A HIRS TEMP-mass DRIBU-mass AIREP-mass SYNOP-mass SCAT-wind MODIS-AMV MET-AMV MTSAT-AMV GOES-AMV PILOT-wind TEMP-wind DRIBU-wind AIREP-wind SYNOP-wind 0 2 4 6 8 10 12 14 16 18 20 FEC % GOES-Rad MTSAT-Rad MET 9-Rad MET 7-Rad AMSU-B MHS AMSR-E SSMI GPS-RO IASI AIRS AMSU-A HIRS TEMP-mass DRIBU-mass AIREP-mass SYNOP-mass SCAT-wind MODIS-AMV MET-AMV MTSAT-AMV GOES-AMV PILOT-wind TEMP-wind DRIBU-wind AIREP-wind SYNOP-wind 0 5 10 15 20 25 30 FEC per OBS % Weather Prediction, Figure 3 Relative contribution of different observing systems to 24 h forecast error reduction for September– December 2008 (Cardinali, 2009). Top panel shows contribution per observing system; bottom panel shows contribution per single observation. WEATHER PREDICTION complex physical and chemical processes at smaller scales. Ensemble analysis and forecasting systems allow the estimation of analysis and forecasting uncertainties – a crucial information in forecasting highly nonlinear atmospheric phenomena. Future satellite observing systems will develop toward more hyper-spectral instruments covering wider spectral ranges with fine spectral resolution as well as active instruments that sample vertical structures and wind very accurately. Abbreviations 4D-Var–Four-Dimensional Variational Assimilation AIRS–Atmospheric Infrared Sounder IASI–Infrared Atmospheric Sounding Interferometer ATOVS–Advanced TIROS Operational Vertical Sounder TOVS–TIROS Operational Vertical Sounder HIRS–High-Resolution Infrared Sounder AMSU-A–Advanced Microwave Sounding Unit A AMSU-B–Advanced Microwave Sounding Unit B MHS–Microwave Humidity Sounder SSM/I–Special Sensor Microwave/Imager SSMIS–Special Sensor Microwave Imager Sounder TMI–TRMM Microwave Imager TRMM–Tropical Rainfall Measuring Mission AMSR-E–Advanced Microwave Scanning Radiometer E METOP–Meteorological Operational Polar satellite EPS–EUMETSAT Polar System NOAA–National Oceanic and Atmospheric Administration GNSS–Global Navigation Satellite System GRAS–GNSS Receiver for Atmospheric Sounding CHAMP–Challenging Minisatellite Payload GPS–Global Positioning System NWP–Numerical Weather Prediction ERA–ECMWF Reanalysis ECMWF–European Center for Medium-Range Weather Forecasts SMOS–Soil Moisture Ocean Salinity EOS–Earth Observing System COSMIC–Constellation Observing System for Meteorology, Ionosphere, and Climate OSE–Observing System Experiment OSSE–Observing System Simulation Experiment Suomi NPP–Suomi National Polar-orbiting Partnership CrIS–Cross-track Infrared Sounder GCOM-W–Global Change Observation Mission - Water Bibliography Andersen, J. 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WETLANDS Cross-references Atmospheric General Circulation Models Data Assimilation Geophysical Retrieval, Overview GPS, Occultation Systems Land-Atmosphere Interactions, Evapotranspiration Lidar Systems Limb Sounding, Atmospheric Microwave Radiometers Ocean-Atmosphere Water Flux and Evaporation Radar, Altimeters Radar, Scatterometers Radar, Synthetic Aperture Radiative Transfer, Solution Techniques Radiation, Electromagnetic Radiative Transfer, Theory Radio-Frequency Interference (RFI) in Passive Microwave Sensing Soil Moisture Stratospheric Ozone WETLANDS John Melack Department of Ecology, Evolution and Marine Biology, University of California, Santa Barbara, CA, USA Definitions Passive microwave radiation is emitted from the Earth’s land, seas, and atmosphere at wavelengths generally between 0.15 and 30 cm or, if expressed as frequencies, between 1 and 200 GHz. Emissivity is the ratio of energy radiated by a material to energy radiated by a blackbody at the same temperature. Introduction Wetlands cover extensive areas worldwide (Lehner and Döll, 2004), have important ecological and biogeochemical functions, and play critical roles in improving water quality, mitigating floods, and providing habitat for fish and wildlife. For many wetlands, remote sensing is the preferred approach to obtain a synoptic view of inundation and vegetative cover, and a suite of optical and microwave sensing systems and analysis algorithms are being applied to wetlands (Sahagian and Melack, 1998; Melack, 2004). In the case of the large, temporally varying wetlands found throughout the world, a remote sensing system with frequent, near-global coverage and sensitivity to wetness is necessary. These requirements are met by passive microwave sensors. Passive microwave systems and analyses A global record of passive microwave radiation measured from satellites is available from 1979 to the present. The Scanning Multichannel Microwave Radiometer (SMMR) was operated on board the Nimbus-7 satellite from 1979 to 921 1987, with global coverage every 6 days. The Special Sensor Microwave/Imager (SSM/I) replaced SMMR in 1987 and operates today with 3 day global coverage from a satellite in the US Defense Meteorological Satellite Program. The Tropical Rainfall Measuring Mission (TRMM), launched in 1997, included a microwave radiometer similar to that on SSM/I but providing higher spatial resolution because it flies at lower altitude than the SSM/I. The Advanced Microwave Scanning Radiometer (AMSR), launched in 2002 on the Aqua satellite, offers additional capabilities. Measurements of passive microwave radiation are expressed as brightness temperatures ( K) and are recorded as vertical and horizontal polarizations at several frequencies (Choudhury, 1989). To reduce effects of atmospheric water vapor and temperature on the measurements, the difference between the two polarizations, referred to as DT, is often used. However, surface roughness, exposed soil and rock, seasonal vegetation changes, and other atmospheric conditions can affect the DT. Prigent et al. (1998) have developed an approach to calculate microwave emissivities of land surfaces after removing the contributions from the atmosphere, clouds, and rain and modulation by surface temperatures by using ancillary remotely sensed information and meteorological reanalyses. In general, flooded regions have low microwave emissivities and high polarization differences relative to non-flooded areas. Spatial resolutions of approximately 10–50 km limit the application of the technique to large wetlands or to regions where the cumulative area of smaller wetlands comprises a significant proportion of the landscape. Calm water surfaces result in a strongly polarized emission at 37 GHz (e.g., SMMR DT ca. 60 K), although this is attenuated to varying degrees by overlying vegetation. In the absence of flooding, the dense vegetation and relatively level terrain typical of large wetlands present a stable background of depolarized microwave emission (e.g., SMMR DT averaging ca. 4 K). Fluctuations in the extent of inundation can be quantified if the DT is raised sufficiently above background. Inundation area can be estimated from the DT by mixing models that incorporate the microwave emission characteristics of the major landscape units (Sippel et al., 1994). The results have been validated against independent measures of flooding, such as river-stage records in areas of floodplain where inundation is known to be controlled by a large river. Passive microwave applications Inundation A global monthly time series of inundation during the 1990s was produced by Prigent et al. (2007) based on a combination of passive microwave surface emissivities, scatterometer responses, and visible and near-infrared reflectances for ca. 0.25 grid cells. The detection of inundation relied primarily on SSM/I data. In forested regions it appears that the results do not indicate inundation if standing water occupies less than 10 % of the pixel. 922 WETLANDS In comparison to inundation determined under low and high water levels at 100 m resolution with synthetic aperture radar for the central Amazon (Hess et al., 2003), Prigent et al.’s results do fairly well, underestimating low water area by 11 % and high water area by 30 %. Variations in wetland area match well with variations in water level derived from TOPEX-Poseidon altimetry in the Niger, Ganges, Pantanal, and Amazon basins on a 4 grid. In tropical areas, passive microwave remote sensing studies have focused on analysis of the inundation patterns in seasonally flooded forests and savannas and on comparative analyses of hydrological patterns in the major wetlands in South America (Hamilton et al., 2002). Observations with SMMR at the 37 GHz have been analyzed to determine spatial and temporal patterns of inundation on floodplains of the Amazon, Tocantins and Orinoco basins, and the Pantanal wetlands of South America. Ecological and biogeochemical studies Information about inundation and wetland vegetation are essential for the understanding of carbon dynamics in the Amazon basin. By combining field measurements of carbon dioxide concentrations in surface waters with passive and active remote sensing of inundation, Richey et al. (2002) calculated the evasion (outgassing) of CO2 from water to the atmosphere in the central Amazon basin. Similarly, by combining measurements of methane emission from a variety of habitats and sites with inundation and vegetation variations derived from microwave and optical remote sensing analyses, Melack et al. (2004) estimated methane emissions from the Amazon basin. Variations in the distribution and inundation of floodplain habitats play a key role in the ecology and production of many commercially important freshwater fish. In a comparison of flooded areas estimated from a monthly series of passive microwave data (Sippel et al., 1998) with the annual fish yield aggregated from the Brazilian Amazon, Melack et al. (2009) found significant relationships for small species at lower trophic levels generally at short lag times (0–1 years), while those for large species at higher trophic levels had considerably longer lag times (3–5 years). Summary The principal advantages of the passive microwave observations are their frequent global coverage and their ability to reveal characteristics, such as inundation, of the land surface beneath cloud cover and vegetation. This encyclopedia includes no entries beginning with X, Y and Z. Bibliography Choudhury, B. J., 1989. Monitoring global land surface using Nimbus-7 37 GHz data, theory and examples. International Journal of Remote Sensing, 10, 1579–1605. Hamilton, S. K., Sippel, S. J., and Melack, J. M., 2002. Comparison of inundation patterns among major South American floodplains. Journal of Geophysical Research, doi:10.1029/ 2000JD000306. Hess, L. L., Melack, J. M., Novo, E. M. L. M., Barbosa, C. C. F., and Gastil, M., 2003. Dual-season mapping of wetland inundation and vegetation for the central Amazon basin. Remote Sensing of Environment, 87, 404–428. Lehner, B., and Döll, P., 2004. Development and validation of a global database of lakes, reservoirs and wetlands. Journal of Hydrology, 296, 1–22. Melack, J. M., 2004. Remote sensing of tropical wetlands. In Ustin, S. (ed.), Remote Sensing for Natural Resources Management and Environmental Monitoring, 3rd edn. New York: Wiley. Manual of Remote Sensing, Vol. 4, pp. 319–343. Melack, J. M., Hess, L. L., Gastil, M., Forsberg, B. R., Hamilton, S. K., Lima, I. B. T., and Novo, E. M. L. M., 2004. Regionalization of methane emissions in the Amazon basin with microwave remote sensing. Global Change Biology, 10, 530–544. Melack, J. M., Novo, E. M. L. M., Forsberg, B. R., Piedade, M. T. F., and Maurice, L., 2009. Floodplain ecosystem processes. In Gash, J., Keller, M., and Silva-Dias, P. (eds.), Amazonia and Global Change. Washington, DC: American Geophysical Union. Geophysical Monograph Series, Vol. 186, pp. 525–541, doi:10.1029/GM186. Prigent, C., Rossow, W. B., and Matthews, E., 1998. Global maps of microwave land surface emissivities: potential for land surface characterization. Radio Science, 33, 745–751. Prigent, C., Papa, F., Aires, F., Rossow, W. B., and Matthews, E., 2007. Global inundation dynamics inferred from multiple satellite observations, 1993–2000. Journal of Geophysical Research, doi:10.1029/2006JD007847. Richey, J. E., Melack, J. M., Aufdenkampe, A. K., Ballester, V. M., and Hess, L., 2002. Outgassing from Amazonian rivers and wetlands as a large tropical source of atmospheric carbon dioxide. Nature, 416, 617–620. Sahagian, D., and Melack, J. M., (eds.). 1998. Global wetland distribution and functional characterization: Trace gases and the hydrologic cycle. International Geosphere-Biosphere Program Report 46, Stockholm, 92 p. Sippel, S. K., Hamilton, S. K., Melack, J. M., and Choudhury, B., 1994. Determination of inundation area in the Amazon River floodplain using the SMMR 37 GHz polarization difference. Remote Sensing of Environment, 48, 70–76. Sippel, S. J., Hamilton, S. K., Melack, J. M., and Novo, E. M. M., 1998. Passive microwave observations of inundation area and the area/stage relation in the Amazon River floodplain. International Journal of Remote Sensing, 19, 3055–3074.
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