sustainable yield of ground water, Victor Miguel Ponce

Sustainable Yield of Ground Water

Victor M. Ponce
Department of Civil Engineering
San Diego State Universitry
5500 Campanile drive
San Diego, CA 92182-1324 USA
[email protected]
http://ponce.sdsu.edu

Abstract
All groundwater pumping comes from capture; the greater the intensity of pumping, the greater the capture. Capture comes from decreases in natural discharge and increases in recharge. Natural discharge supports riparian, wetland, and other groundwater-dependent ecosystems, as well as the baseflow of streams and rivers. Capture depends on usage, and it is not related to size or hydrogeological characteristics of the aquifer, or to the natural recharge. The traditional concept of safe yield, which equates safe yield with natural recharge, is flawed and has been widely discredited. It has now been replaced with sustainable yield. Sustainable yield depends on the amount of capture, and whether this amount can be accepted as a reasonable compromise between a policy of little or no use, on one extreme, and the sequestration of all natural discharge, on the other extreme.
1. Introduction
Water occurs both on the surface and under the surface of the Earth. The surface water and the ground water are both part of the hydrologic cycle. Surface water can become ground water through infiltration, while ground water can become surface water through exfiltration. Therefore, surface water and ground water are inextricably connected; one cannot be considered or evaluated without regard to the other.
Surface water and ground water can be shown to differ in two important ways: (1) surface water is completely renewable, usually within days or weeks, while ground water is not completely renewable, since it may take decades, centuries, or even longer time to renew; and (2) fresh surface water is scarce, particularly when compared with the large volumes of fresh ground water which are known to exist below the surface.
This paper examines the historical development of groundwater use and of the limits placed thereon throughout the years. The concepts of safe yield and sustainable yield are reviewed. The traditional concept of safe yield, which equates safe yield to annual recharge, is shown to be flawed because of its narrow focus. Sustainable yield extends beyond the conventional boundaries of hydrogeology, to encompass surface water hydrology, ecology, and other related subjects.
2. Background
Excessive groundwater pumping can lead to groundwater depletion, and this may have serious social and economic consequences. Attempts to limit groundwater pumping have been commonly based on the concept of safe yield, defined as the attainment and maintenance of a long term balance between the annual amount of ground water withdrawn by pumping and the annual amount of recharge. This definition is too narrow because it does not take into account the rights of groundwater-fed surface water and groundwater-dependent ecosystems (Sophocleous 1997).
Recently, the emphasis has shifted to sustainable yield (Alley and Leake 2004; Maimone 2004; Seward et al. 2006). Sustainable yield reserves a fraction of the so-called "safe yield" for the benefit of the surface waters. There is currently a lack of consensus as to what percentage of safe yield should constitute sustainable yield. The issue is complicated by the fact that knowledge of several earth sciences is required for a correct assessment of sustainable yield. Additionally, there are social, economic, and legal implications which have a definite bearing on the analysis.
At the outset, a distinction is necessary between pristine and non-pristine groundwater reservoirs. Pristine reservoirs are those that have not been subject to human intervention; conversely, non-pristine reservoirs have a history of pumping. In pristine reservoirs, average annual natural recharge, which is a fraction of precipitation, is equal to average annual natural discharge, which feeds springs, streams, wetlands, lakes, and groundwater-dependent ecosystems. Average annual recharge is normally taken over the period of record or some other suitably long period. Actual values of annual recharge may differ from the long-term average value. Thus, net recharge, i.e, average annual recharge minus average annual discharge, is zero.
Three groundwater scenarios are possible: (1) a pristine groundwater system, in equilibrium or steady state, in the absence of pumping; (2) a developed groundwater system, in equilibrium or steady state, with moderate pumping at a fixed depth; and (3) a depleted groundwater system, in nonequilibrium or unsteady state, with heavy pumping at an ever increasing depth.
In the pristine groundwater system, natural recharge is equal to natural discharge, net recharge is zero, and pumping is zero. Thus, natural recharge equals natural discharge (Fig. 1 a). In the developed groundwater system, captured recharge is the increase in recharge induced by pumping. Likewise, captured discharge is the decrease in discharge induced by pumping. Then, residual discharge is equal to natural recharge minus captured discharge. Net recharge is equal to the sum of captured recharge plus captured discharge. Net recharge varies with the intensity of pumping; the greater the intensity of pumping, the greater the net recharge. Pumping in the developed groundwater system is equal to net recharge, i.e., capture (Fig. 1 b). In addition to captured recharge and captured discharge, the depleted groundwater system also features captured storage. Net recharge is equal to captured recharge plus captured discharge. Pumping in the depleted groundwater system is equal to net recharge plus captured storage (Fig. 1 c).

Fig. 1 Recharge and discharge in groundwater systems.

The greater the level of development, the greater the amounts of captured recharge and captured discharge, and, in the case of a depleted system, captured storage. The greater the captured discharge, the smaller the residual discharge. Since all aquifer discharge feeds surface water and evapotranspiration, it follows that intensive groundwater development can substantially affect local, subregional, or regional groundwater-fed surface water bodies and groundwater-dependent ecosystems.

3. Historical Perspective

Lee (1915) defined safe yield as the limit to the quantity of water which can be withdrawn regularly and permanently without dangerous depletion of the storage reserve. He noted that water permanently extracted from an underground reservoir reduces by an equal quantity the volume of water passing from the basin by way of natural channels, i.e., the natural discharge. To illustrate the existence of this natural discharge, Lee observed that heavy pumping would commonly result in the drying up of springs and wetlands. Thus, he distinguished between a theoretical safe yield, equal to the natural recharge, and a practical safe yield, a lower value which takes into account the need to maintain a residual discharge.

Theis (1940) recognized that all ground water of economic importance is in constant movement through a porous rock stratum, from a place of recharge to a place of discharge. He reasoned that under pristine conditions, aquifers are in a state of approximate dynamic equilibrium. Discharge by pumping is a new discharge superimposed on a previously stable system; consequently, it must be balanced by: (a) an increase in natural recharge; (b) a decrease in natural discharge; (c) a loss of storage in the aquifer; or (d) a combination thereof. Theis distinguished between natural recharge and available recharge. Available recharge is the sum of unrejected and rejected recharge. The unrejected recharge is the natural recharge; the rejected recharge is the portion of available recharge rejected by portions of an aquifer on account of being full (at least part of the time). To assure maximum utilization of the supply, Theis argued that groundwater development should tap primarily the rejected recharge and, secondarily, the evapotranspiration by non-productive vegetation. Thus, he defined perennial safe yield as equal to the amount of rejected recharge plus the fraction of natural discharge that it is feasible to utilize. Where rejected recharge is zero, the only way to replace the well discharge is by artificial recharge.

Kazmann (1956) argued that the concept of safe yield, when taken independent of considerations of regional hydrology, is a fallacious one, because it cannot be reconciled with the legal doctrine of appropriation. All water coming from the ground must be replaced by water coming from the land surface in order for a perennial groundwater supply to be obtained. When all surface runoff in the area overlying an aquifer has been appropriated, a perennial supply cannot be obtained from the ground without encroaching on established rights. Echoing Theis (1940), Kazmann saw artificial recharge as an effective technological fix to the safe yield quandary.

The concept of sustainable development emerged in the 1980s, forcing a reconsideration of safe yield practices (World Commission on Environment and Development 1987). Sustainability refers to renewable natural resources; therefore, sustainability implies renewability. Since groundwater is neither completely renewable nor completely nonrenewable, it begs the question of how much groundwater pumping is sustainable. In principle, sustainable yield is that which is in agreement with sustainable development. This definition is clear; however, its practical application requires the understanding of complex interdisciplinary relationships, which have only recently been examined.

Alley et al. (1999) defined groundwater sustainability as the development and use of ground water in a manner that can be maintained for an indefinite time without causing unacceptable environmental, economic, or social consequences. The definition of "unacceptable" is largely subjective, depending on the individual situation. For instance, what may be established as an acceptable rate of groundwater withdrawal with respect to changes in groundwater level, may reduce the availability of surface water, locally or regionally, to an unacceptable level. The term safe yield should be used with respect to specific effects of pumping, such as water level declines or reduced streamflow. Thus, safe yield is the maximum pumpage for which the consequences are considered acceptable.

Sophocleous (2000) pointed out that the traditional concept of safe yield ignores the fact that, over the long term, natural recharge is balanced by discharge from the aquifers by evapotranspiration and/or exfiltration into streams, springs, and seeps. Consequently, if pumping equals recharge, eventually streams, marshes, and springs may dry up. Additionally, continued pumping in excess of recharge may eventually deplete the aquifer.

Alley and Leake (2004) recognized the dependence of yield on the amount of capture. Unlike natural recharge, which tends to be a constant for a given basin, capture is a function of the level of development; the greater the pumping, the greater the capture. Thus, capture could not be sustainable in all cases. There is concern about the long-term effects of groundwater development on the health of springs, wetlands, lakes, streams, and estuaries. Sustainability is seen as all-encompassing, addressing issues across the disciplines.
Maimone (2004) argued that if sustainable yield must be all-inclusive, the idea that there exists a single, correct number representing sustainable yield must be abandoned. Instead, he proposed a working definition, coupled with an adaptive management approach, based on the following components:

Understand the local, subregional, and regional effects, and interactions thereof.

Develop a comprehensive conceptual water budget, including surface water and ground water, and consumptive vs non-consumptive use.

Understand the boundaries and rate of replenishment of the system.

Understand human water needs and their changing nature.

Consider the temporal aspects of yield, including droughts and floods.

Consider the effects of new technology.

Work with stakeholders to understand tradeoffs and develop consensus.

Recognize the interdisciplinary nature of the impacts of groundwater utilization.

Seward et al. (2006) found serious problems with the simplistic assumption that sustainable yield should equal recharge. In many cases, sustainable yield will be considerably less than average annual recharge; therefore, the general statement that sustainable or "safe" yield equals recharge is incorrect. Natural recharge does not determine sustainable yield; rather, the latter is determined by the amount of capture that it is permissible to abstract without causing undesirable or unacceptable consequences.
4. Analysis
The historical perspective confirms that sustainable yield is indeed an evolving concepts. In assessing groundwater sustainability, issues of surface water hydrology, ecology, and water resources technology are seen to be intertwined with the issue of social license. The concepts may be summarized as follows:

All groundwater of economic importance is in transit from a place of recharge to a place of discharge. Therefore, any water extracted from the ground would have to be eventually replaced by a corresponding withdrawal from surface water. If the latter is already fully appropriated, a conflict arises (Kazmann 1956). Where rejected discharge is present, it could be abstracted and used as ground water, provided there is no prior claim to it.

A perennial safe yield may be assured as long as capture abstracts only rejected discharge. Thus, in humid and other areas where the water table is near the surface, a moderate amount of capture may be self-sustaining if it can count on abstracting rejected discharge (Theis 1940).

Determinations of safe or sustainable yield must subtract from recharge the fraction that can be shown to fulfill the needs of surface water and related ecosystems. Some controversy remains as to whether vegetation can be classified as beneficial or non-beneficial. Furthermore, the effects of groundwater development on neighboring springs and wetlands requires a thorough hydrological assessment.

Artificial recharge constitutes essentially free groundwater and, therefore, should be encouraged in areas where ground water is being actively developed or depleted. It is most effective when it uses rain or snowmelt water in rural areas. Certain socioeconomic activities such as deforestation, overgrazing, overcultivation, and urban development should be limited or regulated to the extent possible, because they have a tendency to reduce recharge, amounting to "negative" artificial recharge.

Assessments of sustainable yield must reach beyond hydrogeology, to encompass the interdisplinary synthesis of surface water hydrology, ecology, geology, and climatology, to name a few. In addition, since ground water is a resource held in common, sustainable yield assessments must consider the socioeconomic context (Hardin 1968). In general, different communities will have different perceptions of what constitutes an acceptable rate of groundwater withdrawal, and these perceptions may vary over time.

The solution is to focus on a water balance that considers both surface water and ground water. Precipitation, the source of all ground water, separates into several components as follows: (1) return to the atmosphere via evaporation; (2) return to the atmosphere via evapotranspiration; (3) return to the ocean through direct runoff; (4) return to the ocean through baseflow and, subsequently, streamflow; (5) return to the ocean through deep percolation. Of the five components of precipitation, only the third (direct runoff) is totally independent of ground water. Fractions of evaporation and evapotranspiration may [originate and] be part of ground water. All baseflow originates and is part of ground water. All deep percolation is part of ground water, but not part of streamflow.
The components vary with climate, scale, and local and regional geologic and hydrogeologic conditions. For the sake of reference, on a global annual basis, evaporation and evapotranspiration is 58% of precipitation, streamflow is 40% (direct runoff is 28% and baseflow 12%), and deep percolation is 2% (World Water Balance 1978; L'vovich 1979).
Like precipitation, natural recharge separates into several components as follows: (1) return to the atmosphere via evaporation from bare soil; (2) return to the atmosphere via evaporation from bodies of water; (3) return to the atmosphere via evapotranspiration from vegetation, both natural (ecosystems) and human induced (agriculture); (4) return to the ocean through the baseflow of streams and rivers; and (5) return to the ocean through deep percolation.
Of the five components of natural recharge, only No. 5 (deep percolation) is totally independent of the continental surface waters; therefore, it may be a potential candidate for capture by groundwater systems. Thus, on a global annual basis, up to 2% of precipitation may be potentially tapped by groundwater systems with minimum encroachment on established surface water rights. In practice, specific values of deep percolation would have to be established on a local, subregional, or regional basis. For groundwater basins lying in close proximity to the ocean, the capture of all or fractions of deep percolation should be examined carefully because of the possibility of salt-water intrusion.
Of the remaining four components (Nos. 1 to 4), it may be readily argued that all or fractions of No. 1 (evaporation from bare soil) may be also a candidate for capture by groundwater systems. It is more difficult to argue in favor of capturing all or fractions of No. 2 (evaporation from water bodies) and No. 3 (evapotranspiration from vegetation). It is most difficult to argue in favor of capturing all or fractions of No. 4 (baseflow).
In general, a detailed water balance and related interdisciplinary studies are required to determine whether it is socially acceptable to set values of sustainable yield to encompass not only fractions of component No. 5 (deep percolation), but also appropriate fractions of components 1, 2, 3, and 4. Essentially, the goal is to be able to determine an appropriate yield-to-recharge percentage, and that this percentage be accepted as a reasonable compromise between conflicting interests.
What are typical values of the yield-to-recharge percentage? In this connection, it is instructive to examine examples of usage-to-recharge percentages. Solley et al. (1998) have estimated that the pumpage of fresh ground water in the United States in 1995 was approximately 77 billion gallons per day, which is 8.6% of the estimated more than 891 billion gallons per day of natural recharge to the Nation's groundwater systems (Nace 1960; Alley et al. 1999). Limited experience suggests that workable yield-to-recharge percentages are likely to be somewhat higher (Miles and Chambet 1995; Prudic and Herman 1996; Hahn et al. 1997).
5. Synthesis
All groundwater reservoirs of economic importance are temporarily holding water in transit from a place of recharge to a place of discharge. Any amount of water extracted from the ground through pumping would have to be eventually replaced by the same amount coming from the surface waters. A pristine groundwater reservoir is in steady state, with inflows equal to ouflows. When a groundwater reservoir is full, it rejects all water, which has no choice but to augment the surface waters. Conversely, when a groundwater reservoir is not full, it can take more water, but it will discharge more water too, through natural discharge. The natural discharge supports riparian, wetland, and other groundwater-dependent ecosystems, as well as the baseflow of streams and rivers.
All pumping comes from capture, and all capture is due to pumping. The greater the intensity of pumping, the greater the capture. Capture comes from decreases in natural discharge and increases in recharge, the latter coming either from increased ground surface recharge or from the surrounding areas. In depletion cases, capture is augmented with decreased storage, i.e., with a permanent lowering of the water table.
The water that seeps below the ground surface can follow one of three paths: (1) return to the atmosphere via evaporation and evapotranspiration (2) return to the ocean via baseflow and subsequent streamflow; or (3) return to the ocean through deep percolation. Of these three, only deep percolation is completely independent of the continental surface waters. Therefore, it is the only component of precipitation (or recharge) that may be potentially subject to sequestering (capture) by pumping. Studies are needed on a local, subregional, and regional basis to determine deep percolation as a percentage of precipitation, or alternatively, as a percentage of recharge. For groundwater basins in close proximity to the ocean, the possibility of salt-water intrusion must be examined carefully.
A groundwater reservoir is essentially a leaky, porous natural geologic container (Fig. 2). In nature, precipitation P separates into direct runoff Q, evaporation and evapotranspiration ET, and natural recharge NR. All natural recharge eventually flows out as either natural discharge ND or deep percolation DP, at various spatial scales, from small to large watersheds. Natural discharge can return to the atmosphere via evaporation and evapotranspiration ET, or to the ocean via baseflow BF. The deeper the ground water, the larger the spatial scale of natural discharge, from the local to the regional scale.

Fig. 2 Geometric model of a groundwater reservoir.

The portion of natural discharge that returns to the atmosphere via evaporation and evapotranspiration is mostly already committed. Only a small fraction of it (the water that evaporates directly from the ground) may be subject to capture, if deemed necessary to satisfy socioeconomic needs. The case for the sequestration of the other two fractions (the evaporation from bodies of water and the evapotranspiration from vegetation) is usually less defensible.

Sustainability studies will require a balance of the entire hydrologic system, not just of the aquifer. A careful accounting of the fate of all water is essential for effective management. Aboveground consumption is the key to sustainable management, and not necessarily the rate at which groundwater is pumped (Kendy 2003). Sustainable yield does not depend on the size, depth, or hydrogeologic characteristics of the aquifer. Current practice notwithstanding, sustainable yield does not depend on the aquifer's natural recharge, because the natural recharge has already been appropriated by the natural discharge (Sophocleous 2000a). Sustainable yield depends on the amount of capture, and whether this amount is socially acceptable as a reasonable compromise between little or no use, on one extreme, and sequestration of all natural discharge, on the other (Alley et al. 1999). Sustainable yield is seen to be a moving target, to be determined after a judicious study and appraisal of all issues regarding groundwater utilization (Maimone 2004). These include hydrogeology, hydrology, ecology, climatology, social and economic development, and the related institutional and legal aspects, to name the most relevant.

In practice, sustainable yield may be taken as a suitable percentage of precipitation. A reasonably conservative estimate would take the entire deep percolation amount as sustainable yield. On a global basis, deep percolation amounts to about 2% of precipitation. In the absence of basin-specific studies, this figure may be used as a point-of-start on which to base sustainable yield assessments. A fraction of evaporation and evapotranspiration (ET) is seen to be part of discharge (ND), which originates in recharge (NR). A detailed water balance is required to evaluate the components of precipitation and recharge, so that the fractions of deep percolation, evaporation, evapotranspiration and baseflow that may be candidates for capture, can be ascertained.

Sustainable yield can also be expressed as a percentage of recharge. Globally, if recharge can be assumed to be approximately 20% of precipitation, then deep percolation would be about 10% of recharge. Thus, a reasonably conservative estimate of sustainable yield would be 10% of recharge. Limited experience indicates that average values of this percentage may be around 40%, while less conservative percentages may exceed 70% (Miles and Chambet 1995; Hahn et al. 1997). The current concept of sustainable yield represents a compromise between theory and practice. In theory, a reasonably conservative estimate of sustainable yield would be about 10% of recharge. In practice, values higher than 10% may reflect the need to consider other factors besides conservation.

Communities are beginning to consider baseflow conservation as the standard against which to measure groundwater pumping and, therefore, sustainable yield (Maimone 2004). Compromises may be reached by specifying the maintenance of minimum low flows of selected durations and frequencies. Ultimately, baseflow conservation may be the only practical way of assuring that groundwater capture is reasonably regulated and, therefore, does not end up sequestering the entire natural discharge.

In theory, whoever owns the natural discharge owns the groundwater that feeds that natural discharge. This natural discharge can be shown to provide natural and socioeconomic services. Natural services are associated with the maintenance of terrestrial and aquatic ecosystems that rely on the natural discharge. These ecosystems may comprise, for example, wetlands, riparian species, and minimum instream flows to sustain fisheries and wildlife. Socioeconomic services are associated with water rights that may have been already appropriated to individual users or social entities. In practice, it does not appear viable, in all cases, to disallow groundwater use on account that the entire natural discharge may have been already appropriated.

Experience shows that reasonable compromises may be established on a case-by-case basis. In this context, it is extremely important to strive toward a holistic approach to sustainability. This approach considers the hydrogeological, hydrological, ecological, socioeconomic, technological, cultural, institutional and legal aspects, in a seamless fashion, seeking to establish a reasonable compromise between conflicting interests. For the most part, groundwater depletion may be deemed unacceptable, but a reasonable amount of steady capture may be acceptable if a consensus can be achieved as to its size, with full recognition and, consequently a thorough evaluation, of the tradeoffs.

Groundwater sustainability may be enhanced by increasing recharge in three ways: (1) capturing rejected recharge; (2) encouraging clean artificial recharge, and (3) limiting negative artificial recharge. The greater the amount of capture coming from rejected recharge, the more sustainability is assured. Likewise, the greater the clean artificial discharge, the more sustainability is assured. Limiting negative artificial recharge, to the extent possible, would go a long way toward assuring sustainability.

6. Conclusions

The issue of how much to pump in a sustainable context is shown to have no simple answer. The traditional concept of safe yield, which equates safe yield with natural recharge, is flawed and has been widely discredited. Since 1987, the concept of sustainable yield has emerged, seeking to provide a reasonable compromise between the rights of established ground water users, and the rights of downstream ecosystems and surface water users to the natural discharge which is sustained by that ground water. The ideal solution appears to be to conserve all ground water, excluding all or suitable fractions of deep percolation, for the benefit of the surface waters. However, this solution may prove to be too harsh, and probably socioeconomically not viable in places where ground water usage has become, over the years, a way of life.

It is clear that sustainable yield can no longer be taken as equal to natural recharge. A suitable compromise may be to consider sustainable yield as a fraction of natural recharge, provided a thorough evaluation is made of the tradeoffs, including the hydrological and ecological impacts of groundwater development. Baseflow, more properly baseflow conservation, is emerging as the standard against which groundwater pumping will be increasingly measured in the future.

In the absence of detailed holistic studies, a reference value of sustainable yield may be taken as all, or a suitable fraction of, the global average for deep percolation, estimated as 2% of precipitation. Detailed local and regional studies will determine whether this value may be increased on a case-by-case basis to reflect one or more of the following: (1) an improved understanding of the components of the water balance; (2) a workable compromise between conflicting socioeconomic interests; or (3) the choice of a less conservative approach to resource management. Sustainability goes hand-in-hand with conservation; the more conservative the proposed or adopted policy, the more sustainable it is likely to be.

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