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Calibrating Disaggregate Economic Models of Agricultural Production and Water Management

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Abstract

This paper describes calibration methods for models of agricultural production and water use in which economic variables can directly interact with hydrologic network models or other biophysical system models. We also describe and demonstrate the use of systematic calibration checks at different stages for efficient debugging of models. The central model is the California Statewide Agricultural Production Model (SWAP), a Positive Mathematical Programming (PMP) model of California irrigated agriculture. We outline the six step calibration procedure and demonstrate the model with an empirical policy analysis. Two new techniques are included compared with most previous PMP-based models: exponential PMP cost functions and Constant Elasticity of Substitution (CES) regional production functions. We then demonstrate the use of this type of disaggregated production model for policy analysis by evaluating potential water transfers under drought conditions. The analysis links regional production functions with a water supply network. The results show that a more flexible water market allocation can reduce revenue losses from drought up to 30%. These results highlight the potential of self-calibrated models in policy analysis. While the empirical application is for a California agricultural and environmental water system, the approach is general and applicable to many other situations and locations.

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... Hydro-economic modeling has been used to assess the impacts of agricultural droughts in Spain, the United States, and China. Water management and response policies have also been proposed to minimize economic losses [29,30,[32][33][34][35]. In Nigeria, Spain, and Kenya, the economic value of drought forecasting information was assessed, and policy and technical measures were proposed to enhance farmers' adaptive capacity [37,38]. ...
... Policy analysis on agricultural drought has been conducted in Spain and Nigeria to evaluate the link between drought indexes and insurance schemes. The feasibility and economic valuation of climate change insurance schemes have been analyzed to suggest policy and technical measures to strengthen farmers' adaptive capacity [33][34][35]38,42]. The impacts of agricultural drought on water resource management have been analyzed. ...
... Some studies do not estimate quantitative drought damage but present qualitative effects in terms of percentage or probability of drought occurrence [28,32,33,39]. Most of the drought damage estimates using drought indexes and hydrological models suggest reducing qualitative impacts or improving drought management. ...
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In recent years, the intensity and frequency of droughts have been increasing with the advent of the climate crisis. Agricultural droughts have a significant economic and social impact. Agricultural drought is not only a natural disaster but also leads to food security threats and reduced economic activities, such as decreased productivity. Therefore, it is very important to specify the scale of agricultural drought and quantitatively estimate the economic damage. In this study, we developed an analytical methodology to quantitatively assess the economic damage of agricultural drought and estimated the damage of agricultural drought in 2018 and 2019 for the Republic of Korea. The 2018 agricultural drought was estimated to have caused USD 4.438 million in damage cost and USD 5.180 million in recovery cost. The 2019 drought was less damaging than the previous year, with an estimated damage cost of USD 286,000 and recovery costs of USD 218,000. The results suggest that the economic impact of agricultural drought varies by region depending on the frequency and intensity of the drought and confirm the importance of regional strategies for effective drought management and response. The impacts of agricultural drought go beyond short-term agricultural losses and lead to long-term economic burdens. Therefore, the results of this study are expected to be used as a basis for understanding the impacts of agricultural drought on national economies and for developing policies and strategies to minimize impacts.
... In PMP, a production function between yields and input variables (i.e., water availability) is utilized to optimize input use such that net returns to land and management are maximized. The cost function in PMP formulation may be linear and/or non-linear to account for heterogeneity in inputs, as done by Howitt et al. (2012). Hence, PMP is highly suitable for irrigated arid basins where precipitation peak is off from the irrigation season and the farmer has information over water availability based on reservoir levels or snowpack information (Howitt, 1995;Howitt et al., 2012). ...
... The cost function in PMP formulation may be linear and/or non-linear to account for heterogeneity in inputs, as done by Howitt et al. (2012). Hence, PMP is highly suitable for irrigated arid basins where precipitation peak is off from the irrigation season and the farmer has information over water availability based on reservoir levels or snowpack information (Howitt, 1995;Howitt et al., 2012). However, traditional PMP approaches have limitations in modeling stochasticity in hydrologic component and economic environment (Maneta & Howitt, 2014) which limits extending it to mixed agricultural regimes, which receive significant amount of water through rainfall and supplemental irrigation from groundwater (Graveline, 2016;Heckelei & Wolff, 2003). ...
... However, governmental agencies such as extension services could provide detailed information on pumping units in some regions (Gonzalez-Alvarez et al., 2006;Harrison & Hook, 2005;Harrison & Skinner, 2012;Mullen et al., 2009). The estimates of annual irrigated acreage for some regions such as California and midwestern US (Howitt et al., 2012;Kukal & Irmak, 2018) are available through NASS. However, most regions report irrigated acreage at 5-yearly intervals posing a limitation. ...
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Understanding the nexus between food, energy, and water systems (FEW) is critical for basins with intensive agricultural water use as they face significant challenges under changing climate and regional development. We investigate the food, energy, and water nexus through a regional hydroeconomic optimization (RHEO) modeling framework. The crop production in RHEO is estimated through a hierarchical regression model developed using a biophysical model, AquaCropOS, forced with daily climatic inputs. Incorporating the hierarchical model within the RHEO also reduces the computation time by enabling parallel programming within the AquaCropOS and facilitates mixed irrigation—rainfed, fully irrigated and deficit irrigation—strategies. To demonstrate the RHEO framework, we considered a groundwater‐dominated basin, South Flint River Basin, Georgia, for developing mixed irrigation strategies over 31 years. Our analyses show that optimal deficit irrigation is economically better than full irrigation, which increases the groundwater pumping cost. Thus, considering deficit irrigation in a groundwater‐dominated basin reduces the water, carbon, and energy footprints, thereby reducing FEW vulnerability. The RHEO also could be employed for analyzing FEW nexus under potential climate change and future regional development scenarios.
... Several such models have been developed for the MDB (Adamson et al., 2007;Grafton & Jiang, 2011;Hafi et al., 2009;Hall et al., 1994), often being applied to estimate the economic benefits of water trade or to simulate the effect of changes in supply. Similar models have been developed for other regions including California (Draper et al., 2003;Howitt et al., 2012). In some cases, water market models have been integrated with biophysical hydrology models (see Draper et al., 2003;Qureshi et al., 2013). ...
... While these models have proven useful, they remain subject to some widely acknowledged limitations including limited empirical validation (see Howitt et al., 2012;Qureshi et al., 2013). Typically, past water market models have been "underdetermined" (with more free parameters than data points) necessitating various calibration methods (see Howitt et al., 2012;Qureshi et al., 2013). ...
... While these models have proven useful, they remain subject to some widely acknowledged limitations including limited empirical validation (see Howitt et al., 2012;Qureshi et al., 2013). Typically, past water market models have been "underdetermined" (with more free parameters than data points) necessitating various calibration methods (see Howitt et al., 2012;Qureshi et al., 2013). ...
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Within the Australian southern Murray‐Darling Basin (sMDB) water markets have become a key institutional response to water scarcity and environmental problems. These markets facilitate trading of water among many users and across multiple connected regions. Increasingly, these markets also support intertemporal transfers via the carryover of user water allocations within public water storages. While trading can improve the spatial allocation of water, carryover can improve the temporal allocation by ensuring storage reserves reflect prevailing user preferences. This paper presents an economic model of water markets and irrigated agriculture in the sMDB. A reduced‐form statistical model of water demand is estimated using historical irrigation and water market data. This statistical model is placed within an economic partial‐equilibrium framework accounting for both interregional trade and interyear carryover. The model is solved numerically for a dynamic market equilibrium given assumptions over future stochastic water supplies. Out‐of‐sample tests show the model can realistically simulate water market prices and irrigation activity across the basin. The model is applied to estimate the economic benefits of interregional water trading and interyear carryover. Results show around a third of the economic benefits of water markets in the region can be attributed to interyear carryover.
... We identified the hotspot of population change spatially and seasonal variations in population across different combined climate and land use scenarios in the Central Valley, California. We applied the change factors from land use optimization models (Howitt et al. 2012) to the remote-sensing information to capture the agricultural land use change with climate change and characterize the landscape and habitat information spatially. This is possible with the application of remote-sensing information that not only makes economic optimization spatially explicit but also makes the prediction surface at a scale, which improves the predictive performance of other modeling efforts applied in this area, such as SDMs that use only typo-climatic variables (Schwager and Berg 2021;Deneu et al. 2022;Pinto-Ledezma and Cavender-Bares 2021) and not socioeconomic cropland dynamics. ...
... The economic model uses historical agricultural use of input (i.e., land and water), crop yields, costs, and revenues in its calibration. Following Howitt et al. (2012), the calibrated non-linear optimization model optimizes agricultural economic incomes by allocating land and water to crops. This modeling approach has shown multiple applications (Heckelei et al. 2012) and accurately represented the dynamics of agricultural production and changes to water availability (Cortignani and Severini 2009), climate change (Withey and Cornelis Van Kooten 2011), and water management (Shirzadi Laskookalayeh et al. 2022). ...
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Conservation planning that enhances the resiliency of biodiversity to climate change requires adaptive water and land use decision‐making in the most cost‐efficient way. This has many challenges since landscapes with high biodiversity can embrace intense human production activities, particularly agriculture. Conventionally, water and land used for conservation are often regarded as tradeoffs to agricultural productivity. However, this study found that agricultural water and land use synergize with shorebird conservation in the Central Valley, California. If informed decisions are made to guide strategic land use, landscapes can adapt to climate change and offer multiple benefits. This study used a coupled economic optimization model with a species distribution model to consider human factors in ecological impacts. The objective was to assess the impacts of agricultural water and land use decisions under different climate change scenarios on 10 shorebird species populations in California's Central Valley. Our results showed that strategic water and land management can offer favorable habitats to targeted shorebirds with a land composition including diversified crop categories complementary to wetlands. This study demonstrates that agricultural lands can be as important as wetlands to shorebirds to sustain their migratory stages throughout the year. Wetland restoration without species habitat preference information can lead to population shrinkage since wetland types vary in habitat importance to the shorebird species studied in this research. Business as usual, along with land use and climate change, will decrease shorebirds' breeding season and population to the same degree as they impact non‐breeding populations. The synergies between agricultural production and shorebird conservation were found in the scenarios that favor agricultural production water use but also favor habitat provisioning to shorebirds in the Central Valley, California, under climate change.
... The preferred approach for calibrating farming models is now positive mathematical programming (PMP), which is an effective tool for estimating crop-specific marginal cost functions and replicating farmers' observed crop allocations exactly. The use of PMP in trade modeling and other resource management settings has increased (Howitt, 1995;Howitt et al., 2012;Liu et al., 2020;Mérel and Howitt, 2014). This method has been extended over time by incorporating external information, like supply elasticities, and the principle of maximum entropy (ME), to acquire parameter estimates for the whole cost matrix (Howitt, 1995;Howitt et al., 2012;Liu et al., 2020;Mérel and Howitt, 2014). ...
... The use of PMP in trade modeling and other resource management settings has increased (Howitt, 1995;Howitt et al., 2012;Liu et al., 2020;Mérel and Howitt, 2014). This method has been extended over time by incorporating external information, like supply elasticities, and the principle of maximum entropy (ME), to acquire parameter estimates for the whole cost matrix (Howitt, 1995;Howitt et al., 2012;Liu et al., 2020;Mérel and Howitt, 2014). ...
Article
The agricultural sector is recognized as particularly vulnerable to the effects of climate change. In semi-arid areas, the performance and durability of irrigated systems are often difficult to manage. Understanding agri-culture's response to water scarcity, institutional change and policy interventions is important in order to better define the different agricultural development pathways. The purpose of this paper is to carry out an economic assessment of the costs of groundwater over-exploitation in the Maghreb. This was achieved by using bio-economic modeling in three case studies: the Saïss plain (Morocco), El Haouaria plain (Tunisia) and Sétif plain (Algeria). A set of indicators (land use, farm gross margin, the dual value of water and labor requirements) was calculated for each case study in two scenarios (a business-as-usual (S_BAU) scenario and a return-to-equilibrium (S_RtE) scenario) over a period of 15 years, from 2021 to 2035. Our results show that (i) the state of the aquifer and its over-exploitation level determine the extent of future changes; (ii) in the case of significant groundwater over-exploitation, restoration costs are higher than over-exploitation costs (Saïss plain); on the other hand, in the case where the over-exploitation rate is lower (El Haouaria and Sétif plains), the over-exploitation and restoration costs are close; (iii) both scenarios show significant structural and social changes, and without the effective implementation of environmental and social policies, they lead to high economic losses.
... The mathematical model is based on Positive Mathematical Programming (PMP) formalized by Howitt (1995). PMP is a HEM method that uses observed agricultural production behavior to define a constrained non-linear optimization model, used to simulate water allocation for policy analysis assuming profit maximization (Graveline, 2020;MacEwan et al., 2017;Howitt et al., 2012;Rodríguez-Flores et al., 2019). In this study we implement a PMP calibration that uses a stochastic data assimilation method to calibrate the economic parameters described by Maneta and Howitt (2014) and Maneta et al. (2020). ...
... = ( − 1)∕ , where is the elasticity of substitution between inputs used to produce each crop. For this study we defined = 0.17 following Howitt et al. (2012). The scale parameter and are calibrated using the first order conditions of the first step of the PMP calibration process (SM 2). ...
Article
Increasing irrigation demand has heavily relied on groundwater use, especially in places with highly variable water supplies that are vulnerable to drought. Groundwater management in agriculture is becoming increasingly challenging given the growing effects from overdraft and groundwater depletion worldwide. However, multiple challenges emerge when seeking to develop sustainable groundwater management in irrigated systems, such as trade-offs between the economic revenues from food production and groundwater resources, as well as the broad array of uncertainties in food-water systems. In this study we explore the applicability of Evolutionary Multi-Objective Direct Policy Search (EMODPS) to identify adaptive irrigation policies that water agencies and farmers can implement including operational decisions related to land use and groundwater use controls as well as groundwater pumping fees. The EMODPS framework yields state-aware, adaptive policies that respond dynamically as system state conditions change, for example with variable surface water (e.g., shifting management strategies across wet versus dry years). For this study, we focus on the Semitropic Water Storage district located in the San Joaquin Valley, California to provide broader insights relevant to ongoing efforts to improve groundwater sustainability in the state. Our findings demonstrate that adaptive irrigation policies can achieve sufficiently flexible groundwater management to acceptably balance revenue and sustainability goals across a wide range of uncertain future scenarios. Among the evaluated policy decisions, pumping restrictions and reductions in inflexible irrigation demands from tree crops are actions that can support dry-year pumping while maximizing groundwater storage recovery during wet years. Policies suggest that an adaptive pumping fee is the most flexible decision to control groundwater pumping and land use.
... Hydro-economic models have been utilized by water resource managers for decades (Brouwer and Hofkes, 2008;Harou et al., 2009). These models are used at various spatial and temporal scales to analyze, anticipate and manage competing demands between water supply systems and agriculture under different climate extremes (Esteve et al., 2015;Falloon and Betts, 2010;Maneta et al., 2009;Medellín-Azuara et al., 2011;Torres et al., 2012;Ward et al., 2006), and the influence of economic and policy scenarios (Ghosh et al., 2014;Howitt et al., 2012;Varela-Ortega et al., 1998). There are numerous studies that implement hydro-economic models with a focus on irrigated agriculture (Borrego-Marín et al., (2020); Connell-Buck et al., 2011;Ghosh et al., 2014;Medellín-Azuara et al., 2011;Ward et al., 2006), but fewer studies have focused on regions with mixed rainfed and irrigated crops (Maneta et al., 2009;Siderius et al., 2016). ...
... However, their study showed that shifting to higher value crops, over less land, may translate into increased revenue per unit area in California. Likewise, farmers may choose to fallow their land and sell or lease their water to other users (Ghosh et al., 2014;Howitt et al., 2012). Montana has a limited crop portfolio and does not have a climate suitable for widespread production of high value crops that can be used to mitigate economic losses in the way California could. ...
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Study region,Montana, U.S.A. Study focus Creating adaptation plans for projected imbalances in the western U.S. agricultural water demand-supply system are difficult given uncertainty in climate projections. It is critical to understand the uncertainties and vulnerabilities of the regional agricultural system and hydrologic impacts of climate change adaptation. We applied a sto-chastic, integrated hydro-economic model that simulates land and water allocations to analyse Montana farmer adaptations to a range of projected climate conditions and the response of the hydrologic system to those adaptations. Satellite observations of crop types, productivity, water use, and land allocation were used for model calibration. A suite of climate models was employed to quantify end-of-century impacts on streamflows, water and land use, production, and net revenues.New hydrological insights for the region Simulations showed summer streamflows were influenced by a statewide 18.2% increase in agricultural water use. Decreased summer water availability with increased demand could have far reaching impacts downstream. Land use for irrigated crops increased 1.6%, while rainfed crops decreased 6.5%, implying state-level decrease in planted area. Even with increased land and water use for irrigated crops, production decreased 0.5%, while rainfed production decreased 2.7%. Corresponding losses in net revenues totaled 1.5% and 7.2% for irrigated and rainfed crops, respectively.Results highlight vulnerabilities of semi-arid agricultural regions and can aid water managers in sustaining agriculture in these regions.
... However, under this policy the ecosystem status improves in some river reaches but worsens in other reaches. Environmental water markets require also stakeholders' cooperation as an essential ingredient to curtail losses from water scarcity, and achieve the "good ecological status" of water bodies promoted by European legislation [85][86][87][88][89][90][91][92]. Well functioning environmental water markets would enhance social benefits [89][90][91][92], but this entails the support of strong institutions fostering collective action [29], which would prevent third party effects that mostly affect the environment. ...
... Environmental water markets require also stakeholders' cooperation as an essential ingredient to curtail losses from water scarcity, and achieve the "good ecological status" of water bodies promoted by European legislation [85][86][87][88][89][90][91][92]. Well functioning environmental water markets would enhance social benefits [89][90][91][92], but this entails the support of strong institutions fostering collective action [29], which would prevent third party effects that mostly affect the environment. ...
Article
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The increasing concern about the degradation of water-dependent ecosystems calls for considering ecosystems benefits in water management decision-making. Sustainable water management requires adequate economic and biophysical information on water systems supporting both human activities and natural ecosystems. This information is essential for assessing the impact on social welfare of water allocation options. This paper evaluates various alternative water management policies by including the spatial and sectoral interrelationships between the economic and environmental uses of water. A hydroeconomic model is developed to analyze water management policies for adaptation to reduced water availability in the Ebro Basin of Spain. The originality in our contribution is the integration of environmental benefits across the basin, by using endemic biophysical information that relates stream flows and ecosystem status in the Ebro Basin. The results show the enhancement of social welfare that can be achieved by protecting environmental flows, and the tradeoffs between economic and environmental benefits under alternative adaptation strategies. The introduction of water markets is a policy that maximizes the private benefits of economic activities, but disregards environmental benefits. The results show that the current institutional policy where stakeholders cooperate inside the water authority, provides lower private benefits but higher environmental benefits compared to those obtained under water markets, especially under severe droughts. However, the water authority is not allocating enough environmental flows to optimize social welfare. This study informs strategies for protection of environmental flows in the Ebro Basin, which is a compelling decision under the imminent climate change impacts on water availability in coming decades.
... For water resources planning applications, an economic optimization model typically guides discovery of a water development or use plan that achieves a maximum economic benefit or minimum economic cost of achieving a well-defined goal. Properly calibrated, an optimization model could match actual observed historical water use patterns based on observed water supply conditions and historical policies in place (Buysse et al., 2007;Cortignani and Severini, 2009;Heckelei and Wolff, 2003;Howitt, 1995;Howitt et al., 2012;Kanellopoulos et al., 2010;Paris and Howitt, 1998;Rohm and Dabbert, 2003;Ward et al., 2019). A good example is a model recently developed to predict historical aquifer depletion and pumping patterns over time for the base policy and starting aquifer conditions (Ward et al., 2019). ...
... If an optimization model can be calibrated to replicate historical use patterns (Buysse et al., 2007;Cortignani and Severini, 2009;Heckelei and Wolff, 2003;Howitt, 1995;Howitt et al., 2012;Iglesias and Blanco, 2008;Medellin-Azuara et al., 2010;Rohm and Dabbert, 2003), it is likely to see growing use to assess impacts of several kinds of changes, such as: ...
Article
Allocation of water over its six dimensions of quantity, quality, timing, location, price, and cost remains an ongoing challenge facing water resource planning worldwide. This challenge is magnified with growing evidence of climate change and related water supply stressors. This stress will challenge food, energy, and water systems as climate adaptation policy measures see continued debate. Despite numerous achievements made many by previous works, few attempts have scanned the literature on economic optimization analysis for water resources planning to discover affordable climate adaptation measures. This paper aims to fill that gap by reviewing the literature on water resource optimization analysis at the basin scale to guide discovery of affordable climate adaptation measures. It does so by posing the question “What principles, practices, and recent developments are available to guide discovery of policy measures to improve water resource system adaptions to growing evidence of climate water stress?” It describes past achievements and identifies improvements needed for optimization analysis to inform policy debates for crafting plans to improve climate resilience. It describes an economic conceptual framework as well as identifying data needs for conducting economic optimization exercises to support river basin planning faced by the challenge of managing the six water dimensions described above. It presents an example from an ongoing issue facing water planners in the Middle East. Conclusions find considerable utility in the use of economic optimization exercises to guide climate water stressadaptation. Any use of trade, firm, or product names is for descriptive purposes only and does not imply endorsement by the U.S. Government.
... Some studies include more flexible functions such as Constant Elasticity of Substitution (CES) (Edwards et al., 1996;Howitt, 1995b). Among others, Howitt et al. (2012), describe includes the estimation of CES regional production functions. Graindorge et al. (2000) use a CES specification as Medellín-Azuara et al. (2010) do to obtain the agricultural water economic value. ...
Article
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CONTEXT: The concurrent global demands of ensuring food production, preserving the environment, and responsibly managing natural resources, shape the formulation of EU policies, influencing farmers’ decision-making processes and production activities. In this context the Farm to Fork Strategy plays a crucial role, setting specific targets such as a 50 % and a 20 % reduction in pesticides and fertilizers use by 2030. OBJECTIVE: This paper addresses the growing concern regarding the potential adverse effects of the Farm to Fork Strategy’s targets on EU agricultural production, with a particular focus on Italian arable farms cultivating maize. The objectives are to analyze the impact of F2F targets on chemical reduction on Italian arable farms and maize grain production, identifying vulnerable areas and farms. METHODS: A Farm Accountancy Data Network sample of 395 arable farms is analyzed through an integrated approach, combining an agro-economic supply model with an econometrically estimated translog production function. This integration enhances the model’s flexibility, endogenizing maize grain gross saleable product, fertilizers, and pesticide quantities. This approach enables an assessment of the F2F targets’ economic impacts in terms of economic variables and resource use, production output, and chemical intensity at the farm and crop level.
... Additionally, the group assumed delta smelt population augmentation, the bioacoustic barrier, and Chinook salmon trap and transport would have no effect on water availability and variability. (Howitt et al., 2012). Under no shortages of water, farmers produced the base amount of crops with benefits. ...
Article
A structured decision making (SDM) approach can help evaluate tradeoffs between conservation and human-benefit objectives by fostering communication and knowledge transfer among stakeholders, decision makers, and the public. However, the process is iterative and completing the full process may take years. It can be difficult to initiate an SDM effort when problems seem insurmountable. Occasionally, SDM may not even be the best or correct approach for addressing the conservation problem at hand. We describe the implementation of an SDM process to help inform difficult decisions related to competing objectives. We convened a diverse stake-holder group from the largest estuary in the western United States; the San Francisco Bay and Sacramento-San Joaquin Delta (Bay-Delta). The stakeholder group consisted of representatives from local, state, and federal agencies, non-profit organizations, and recreational fishers. The stakeholder group agreed on a problem statement and identified four priority objectives related to Chinook salmon, delta smelt, water availability and reliability, and agricultural water use. Furthermore, they proposed 14 candidate management actions to achieve their objectives. The group then used existing quantitative models and data to evaluate trade-offs in proposed management actions to identify areas of agreement of proposed candidate actions. The clear communication of the problem statement and objectives among the stakeholder group, along with evaluation of tradeoffs and uncertainty via decision-support models suggest that a full SDM approach may work in the Bay-Delta. We further communicate lessons learned during our implementation of SDM to help guide future SDM efforts in the region and elsewhere.
... The quadratic PMP calibration coefficients represent the unobserved costs of agricultural production activities (Garnache et al., 2017). These unobserved costs reflect the technological, environmental, and market constraints facing individual farmers (Howitt et al., 2012;Paris and Howitt, 1998). The coefficients are derived from regional data about crop acreages since land use data are more comprehensive and accurate than direct estimates of marginal costs (Howitt, 1995). ...
Article
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Large-scale hydrological models (LHMs) are commonly used for regional and global assessment of future water shortage outcomes under climate and socioeconomic scenarios. The irrigation of croplands, which accounts for the lion's share of human water consumption, is critical in understanding these water shortage trajectories. Despite irrigation's defining role, LHM frameworks typically impose trajectories of land use that underlie irrigation demand, neglecting potential dynamic feedbacks in the form of human instigation of and subsequent adaptation to water shortages via irrigated crop area changes. We extend an LHM, MOSART-WM, with adaptive farmer agents, applying the model to the continental United States to explore water shortage outcomes that emerge from the interplay between hydrologic-driven surface water availability, reservoir management, and farmer irrigated crop area adaptation. The extended modeling framework is used to conduct a hypothetical computational experiment comparing differences between a model run with and without the incorporation of adaptive farmer agents. These comparative simulations reveal that accounting for farmer adaptation via irrigated crop area changes substantially alters modeled water shortage outcomes, with US-wide annual water shortages being reduced by as much as 42 % when comparing adaptive and non-adaptive versions of the model forced with US climatology from the period 1950–2009.
... The price of tanker water depends on the marginal resource opportunity costs (MROC) of water, defined as the marginal value of water at its source, varying across space and time 57,58 . Here these MROC of water at rural wells are determined by a positive mathematical programming (PMP) model 59 Well production and yield data are based on a US Geological Survey well survey (n = 8,200) 62 . Since irrigated agriculture is constrained by scarce rural freshwater sources, we assume that water sold on the tanker market could always be used for agriculture. ...
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Scarce and unreliable urban water supply in many countries has caused municipal users to rely on transfers from rural wells via unregulated markets. Assessments of this pervasive water re-allocation institution and its impacts on aquifers, consumer equity and affordability are lacking. We present a rigorous coupled human–natural system analysis of rural-to-urban tanker water market supply and demand in Jordan, a quintessential example of a nation relying heavily on such markets, fed by predominantly illegal water abstractions. Employing a shadow-economic approach validated using multiple data types, we estimate that unregulated water sales exceed government licences 10.7-fold, equalling 27% of the groundwater abstracted above sustainable yields. These markets supply 15% of all drinking water at high prices, account for 52% of all urban water revenue and constrain the public supply system’s ability to recover costs. We project that household reliance on tanker water will grow 2.6-fold by 2050 under population growth and climate change. Our analysis suggests that improving the efficiency and equity of public water supply is needed to ensure water security while avoiding uncontrolled groundwater depletion by growing tanker markets.
... Positive mathematical programming (PMP), an innovative model calibration method (Buysse et al., 2007;Cortignani and Severini, 2009;Heckelei and Wolff, 2003;Howitt, 1995;Howitt et al., 2012;Iglesias and Blanco, 2008;Kanellopoulos et al., 2010;Medellin-Azuara et al., 2010;Paris and Howitt, 1998;Rohm and Dabbert, 2003;Wing et al., 2008) is used in the construction of the groundwater pumping optimization model and is characterized by observed data on pumping, pumping depth, and farm income. It is a state-of-the art methodology for formulating scenarios where policy assessments are being investigated (Paris, 2010). ...
... costs or benefits and is calibrated using shadow values of the calibration constraints, PMP can replicate base year activity levels and resource allocation without artificial constraints while generating smooth responses to changes in the economic environment (Frahan et al., 2007;Garnache et al., 2017;Mérel and Howitt, 2014). With explicit technology representation, PMP can be conveniently linked with biophysical models for policy analysis (Heckelei et al., 2012;Howitt et al., 2012;Medellín-Azuara et al., 2012). The PMP cost functions in this model are calibrated using observed base year crop areas, water uses, production costs and crop revenues following the procedures in Howitt (1995) and Zhu et al. (2015). ...
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Water shortage and soil salinization are the key limiting factors in agricultural production of arid and semi-arid regions. Located in western Inner Mongolia of China, the Hetao Irrigation District (HID) is one of the top three largest irrigation districts in China. Irrigation water overuse and high level of soil salinity have curbed the agricultural productivity, adversely affected farmers’ revenues, and threatened long-term sustainability of irrigated farming in the HID. Nevertheless, opportunities still exist to improve the situation. Irrigation water allocation, salt accumulation and leaching, crop productivity and farming decisions are intrinsically connected and thus require taking a holistic approach to investigate into the interactions among all those factors and devise appropriate technological, management and policy interventions. Towards this goal, we develop an integrated hydro-agro-economic optimization model to reconcile agricultural net revenue, irrigation practices, and environmental sustainability in the HID. Positive Mathematical Programming is used for model calibration to ensure the model can replicate the base year observations of crop acreage, making the model suitable for evaluating alternative scenarios. Scenario analyses are conducted to analyze the effects of water supply reduction, reducing winter irrigation, water-saving irrigation, and crop commodity price change on optimal agricultural water management practices. Results show that water supply reduction without complementary measures increases land fallow, exacerbates soil salinization, and reduces net benefits. Winter irrigation can conserve soil moisture and increase the net salt leaching in the root zone, and a reduction in winter irrigation will incur a benefit loss to the HID. Water-saving irrigation can stabilize planting areas under water shortage but exacerbate soil salinization. Price increase of a cash crop, if it has a large area share, tends to “crowd out” grain crops growing in the same season. These results provide a holistic perspective and useful insights for water management and policy in the HID.
... We modeled the agricultural production system following PMP (Howitt et al. 2012) using two baselines: the average of 2010-2012 (wet period) and the average of 2013-2015 (dry period). The average of these years was taken from observed data used in the calibration process. ...
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Assessing impacts on coupled food-water systems that may emerge from water policies, changes in economic drivers and crop productivity requires an understanding of dominant uncertainties. This paper assesses how a candidate groundwater pumping restriction and crop prices, crop yields, surface water price, electricity price, and parametric uncertainties shape economic and groundwater performance metrics from a coupled hydro-economic model (HEM) through a diagnostic global sensitivity analysis (GSA). The HEM used in this study integrates a groundwater depth response, modeled by an Artificial Neural Network (ANN), into a calibrated Positive Mathematical Programming (PMP) agricultural production model. Results show that in addition to a groundwater pumping restriction, performance metrics are highly sensitive to prices and yields of perennial tree crops. These sensitivities become salient during dry years when there is a higher reliance on groundwater. Furthermore, results indicate that performing a GSA for two different water baseline conditions used to calibrate the production model, dry and wet, result in different sensitivity indices magnitudes and factor prioritization. Diagnostic GSA results are used to understand key factors that affect the performance of a groundwater pumping restriction policy. This research is applied to the Wheeler Ridge-Maricopa Water Storage District located in Kern County, California, region reliant on groundwater and vulnerable to surface water shortages.
... This model was applied in three regions of Italy. Finally, Howitt et al. [48] in their work describe calibration methods for models of agricultural production and water use, where economic variables can directly interact with models of biophysical systems. ...
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... Furthermore, g,i is the CES technology parameter, i = (s − 1) ∕ s where s is the elasticity of substitution between inputs. Following Howitt et al. (2012), the elasticity of substitution parameter is set to be 0.22, because the elasticity of substitution between inputs is generally low in agricultural production. The parameter denotes the returns to scale parameter, and , = ( 1 g,i , … … , j g,i ) is the vector of share coefficients of inputs. ...
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This chapter explores how conjunctive use operations of groundwater and surface water can be implemented to improve water supply reliability to urban and irrigated agriculture demands in Southern Brazil. We discuss the application of conjunctive use strategies and water management instruments under a comprehensive and integrated approach to improve water supply reliability and flexibility in a sustainable way. The discussion is followed by field examples where such strategies should build upon. We believe such combination is necessary to allow groundwater resources to fully contrib- ute to promoting economic growth in the long run, going beyond the aquifer and in- corporating its operation to broader and integrated water management required under the challenges ahead.
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... Coefficients α and β were estimated using the dual values of constraints (7) and following the approach of [42,43], where additional exogenous information about land rents was used for α and β estimation. The PMP approaches used in this work has been widely validated and approved for modelling and calibrations [44][45][46][47][48][49]. ...
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Meta-regression models are estimated to investigate sources of variation in empirical estimates of the price elasticity of irrigation water demand. Elasticity estimates are drawn from mathematical programming, econometric and field experiment studies reported in the United States since 1963. Explanatory variables include method of analysis, water price, time-frame of analysis, farmers'’ adjustment options, type of data, and climate. Results indicate that the magnitudes of elasticity estimates are affected by the method of analysis. When separate regressions are performed for the estimates from each method, the price of water at which an elasticity is estimated as well as the time-frame of analysis are found to influence price elasticities.
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An economic-engineering optimization model of California's major water supply system is presented. The model's development, calibration, limitations, and results are reviewed. The major methodological conclusions are that large-scale water resources optimization models driven by economic objective functions are both possible and practical; deterministic models are useful despite their limitations; and data management, reconciliation, and documentation are important benefits of large-scale system modeling. Specific results for California indicate a great potential for water markets and conjunctive use to improve economic performance and significant economic value for expanding some conveyance facilities. Overall, economic-engineering optimization #even if deterministic# can suggest a variety of promising approaches for managing large systems. These approaches can then be refined and tested using more detailed simulation models. The process of developing large-scale models also motivates the systematic and integrated treatment of surface water, groundwater, facility, and water demand data, and identification of particularly important data problems, something of long-term value for all types of water resources analysis.
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Учебник рассматривает микроэкономические аспекты работы фирмы. Является базовым для чтения курса «Экономика производства» для магистров и докторантов первого года обучения. Основные рассматриваемые темы – технические аспекты производственного процесса, производство с одним переменным фактором, производство с двумя переменными факторами, эластичность производства, один продукт-n-переменных факторов, экономические аспекты производства – анализ со стороны ресурсов, случай при спросе на один ресурс и на несколько ресурсов одновременно, выпуск продукции, функции дохода и издержек, производство при различном ассортименте выпуска.
Article
Abstract Over the last 25 years, economic water policy models have evolved in concept, theoretical and technical methods, scope and application to address a host of water demand, supply, and management policy questions. There have been a number of theoretical and empirical advances over this period, particularly related to estimation of nonmarket, public good water‐related values involving different methods of valuation. We discuss modeling advances including modeling multiple, competing demands, types of incentives and technologies and behavioral responses, incorporation of groundwater and other supply alternatives, integration of institutional factors, and increasing attention to system‐wide impacts. The largest changes in hydroeconomic policy models have been the integration of the individual demand and supply components, inclusion of environmental values, incorporation of governance and institutional conditions (laws, regulations and policies), and expansion to river basin and even interposing scales of analysis. Important areas of future hydroeconomic model advances will be the use of genetic and neurological based algorithms for solving dynamic, stochastic problems, reconstruction of hydrological and economic relationships for remotely sensed data, and the expansion of models to understand and address transboundary water resource economic, hydrologic, environmental and institutional policy, and interdependencies.
Article
Irrigated agriculture is the largest water user in many regions, and agricultural water use efficiency and consumption has been studied by several authors. This paper provides a framework and application of economic valuation of water for agriculture in three regions in northern Baja California, Mexico, namely Guadalupe, Maneadero and Mexicali Valleys. Positive mathematical programming (PMP), a deductive valuation technique, was the framework used for this estimation using water delivery data reported by the National Water Commission in Mexicali, production costs and cultivated area, production factors use from the Agriculture Ministry (SAGARPA); and other data from previous studies. Analysis of the results shows that marginal economic water value in Mexicali is at least 2.6 times the water price paid by farmers. Guadalupe and Maneadero with higher value agriculture, have higher marginal economic values of water than Mexicali, albeit closer to their water costs. Small shortages increase this economic value for farmers. Estimated price elasticities of irrigation water for each turn-out are inelastic for all regions and within the range of most previous studies. Policies aimed to reduce water consumption by decreasing current pumping subsidies are encouraged.
Article
Models are increasingly being relied upon to inform and support natural resource management. They are incorporating an ever broader range of disciplines and now often confront people without strong quantitative or model-building backgrounds. These trends imply a need for wider awareness of what constitutes good model-development practice, including reporting of models to users and sceptical review of models by users. To this end the paper outlines ten basic steps of good, disciplined model practice. The aim is to develop purposeful, credible models from data and prior knowledge, in consort with end-users, with every stage open to critical review and revision. Best practice entails identifying clearly the clients and objectives of the modelling exercise; documenting the nature (quantity, quality, limitations) of the data used to construct and test the model; providing a strong rationale for the choice of model family and features (encompassing review of alternative approaches); justifying the techniques used to calibrate the model; serious analysis, testing and discussion of model performance; and making a resultant statement of model assumptions, utility, accuracy, limitations, and scope for improvement. In natural resource management applications, these steps will be a learning process, even a partnership, between model developers, clients and other interested parties.
Article
Models are increasingly being relied upon to inform and support natural resource management. They are incorporating an ever broader range of disciplines and now often confront people without strong quantitative or model-building backgrounds. These trends imply a need for wider awareness of what constitutes good model-development practice, including reporting of models to users and sceptical review of models by users. To this end the paper outlines ten basic steps of good, disciplined model practice. The aim is to develop purposeful, credible models from data and prior knowledge, in consort with end-users, with every stage open to critical review and revision. Best practice entails identifying clearly the clients and objectives of the modelling exercise; documenting the nature (quantity, quality, limitations) of the data used to construct and test the model; providing a strong rationale for the choice of model family and features (encompassing review of alternative approaches); justifying the techniques used to calibrate the model; serious analysis, testing and discussion of model performance; and making a resultant statement of model assumptions, utility, accuracy, limitations, and scope for improvement. In natural resource management applications, these steps will be a learning process, even a partnership, between model developers, clients and other interested parties.
Article
A method for calibrating models of agricultural production and resource use using nonlinear yield or cost functions is developed. The nonlinear parameters are shown to be implicit in the observed land allocation decisions at a regional or farm level. The method is implemented in three stages and initiated by a constrained linear program. The procedure automatically calibrates the model in terms of output, input use, objective function values and dual values on model constraints. The resulting nonlinear models show smooth responses to parameterization and satisfy the Hicksian conditions for competitive firms.
Article
The US National Assessment of the Potential Consequences of Climate Variability and Change provides compelling arguments for action and adaptive measures to help mitigate water resource, agricultural production and environmental quality impacts of future climate change. National resource planning at this scale can benefit by the development of integrated impact analysis toolboxes that allow linkage and integration of hydroclimate models, surface and groundwater hydrologic models, economic and environmental impact models and techniques for social impact assessment. Simulation models used in an assessment of climate change impacts on water resources, agriculture and environmental quality in the San Joaquin Basin of California are described in this paper as well as the challenges faced in linking the component models within an impacts assessment toolbox. Results from simulations performed with several of the tools in the impacts assessment toolbox are presented and discussed. After initially attempting model integration with the public domain, GIS-based modeling framework Modular Modeling System/Object User Interface (MMS/OUI), frustration with the framework's lack of flexibility to handle monthly timestep models prompted development of a common geodatabase to allow linkage of model input and output for the linked simulation models. A GIS-based data browser was also developed that works with both network flow models and makes calls to a model post-processor that shows model output for each selected node in each model network. This data and output browser system is flexible and can readily accommodate future changes in the model network configuration and in the model database.
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California agriculture is driven by the interactions between technology, resources, and market demands. Future production is a balance between the rates of change in these variables and environmental factors including climate change. With tight statewide water supplies and agriculture being an important part of the California economy, quantifying the economic consequences of changes in these variables is important for addressing related policy questions. We estimate the economic effects of climate change on California crop farming by year 2050 using the Statewide Agricultural Production Model (SWAP). With climate warming, crop yields are expected to decline, production costs to increase, and water supplies to fall. These negative effects may be partially offset by higher crop prices and technological improvements. Results indicate that gross agricultural revenues across all regions are reduced under climate change, as is water usage. However, given the climate-induced reductions in water supply and crop yields, reductions in revenue are proportionally less due to shifting crop demands, technological change, and a shift to higher value less water intensive crops. Given the long time horizon required in this study, the results should not be considered a projection or forecast, but as a probable outcome of the interaction of several uncertain driving forces.
Article
We develop a methodology to exactly calibrate quadratic programming models of agricultural supply against exogenous own-price supply elasticities. We show that calibration is only possible against certain sets of supply elasticities. For the case where one constraint is binding and the matrix of quadratic coefficients is diagonal, we derive the necessary and sufficient condition under which the calibration problem has a solution, and prove that it is then unique. We propose a general procedure to obtain implied elasticity equations in models of input allocation, and apply it to the constant-elasticity-of-substitution model with land constraint. Oxford University Press and Foundation for the European Review of Agricultural Economics 2010; all rights reserved. For permissions, please email journals.permissions@oxfordjournals.org, Oxford University Press.
Article
This article provides a methodology to exactly calibrate land-constrained programming models of agricultural supply against supply elasticities using generalized constant-elasticity-of-substitution, crop-specific production functions. We formally derive the necessary and sufficient conditions under which the model can replicate a reference allocation while displaying crop supply responses consistent with exogenous information on supply elasticities. When it exists, the solution to the exact calibration problem is unique. Subject to a caveat, the proposed specification is shown to be more flexible with respect to calibration than the quadratic specification that has been used extensively in policy models based on positive mathematical programming. Copyright 2011, Oxford University Press.
Article
Production economics problems are often ill-posed. This means that the number of parameters to be estimated is greater than the number of observations. In this article we show how to recover flexible cost functions from very limited data sets using a maximum entropy approach. We also argue that there exists a continuum of analysis between mathematical programming and traditional econometric techniques which is based solely upon the available information. The limiting case of a multi-output cost function recovered using only a single observation of a farmer's allocation decisions can be easily extended to handle more than one observation.
Book
Economics brings powerful insights to water management, but most water professionals receive limited training in it. This text offers a comprehensive development of water resource economics that is accessible to engineers and natural scientists as well as economists. The goal is to build a practical platform for understanding and performing economic analysis using both theoretical and empirical tools. The mathematics needed to understand the subjects covered in this text include basic optimization methods and integral calculus. Familiarity with microeconomics or natural resource economics is helpful, but all the economics needed is presented and developed progressively in the text. Many water-based example calculations are included. Thus the book can be used for independent study as well as course work. The book focuses on the scarcity of water quantity (rather than water quality). The author presents the economic theory of resource allocation, recognizing the peculiarities imposed by water, and expands the theory to encompass time-defined matters such as ground water depletion. He then discusses such subjects as institutional economics, water law, how economics is used in policy and cost-benefit analysis, the roles of water marketing and water pricing, demand and supply estimation, privatization, and modeling with demand and supply functions. As an aid to readers with specific interests, references to recent literature are given for all of these topics. Each chapter ends with a summary and exercises. All graphic portrayals of economic theory and most calculations are performed using Mathematica software. These programs are downloadable, but their use is entirely optional.
Article
In this paper an integration of the agricultural economic model RAUMIS with the hydrological models GROWA98 and WEKU is presented. The focus lies on an area wide, regionally differentiated, consistent link-up between the indicator “nitrogen balance surplus” and nitrogen charges into surface waters. The model network is used to analyze the status quo situation in the year 1999 for two river catchments in Germany that feature very distinct natural and socio-economic conditions. Regarding agriculture, the study areas include regions with specializations in cash crops, in intensive livestock featuring high nitrogen surplus, and extensive livestock production on permanent grassland. Due to regionally varying hydrological conditions quite different shares of agricultural nitrogen surpluses ranging from 25 to 92% enter surface waters. Furthermore, impacts of alternative nitrogen reduction measures namely a limitation of livestock density and a tax on mineral nitrogen are quantified. Measures of the nitrogen reduction potential and costs in terms of agricultural income forgone are taken into account in the assessment. Results regarding the effects of restricting the livestock density or tax mineral nitrogen highlight that the mitigation of diffuse water pollution problems requires regionally tailored measures.
Article
A holistic model embeds water resources and economic components into a consistent mathematical programming model, with the objective of maximizing economic profits from water uses in various sectors. Such a model can be used to address combined environmental-economic issues. Although holistic modeling represents a simple approach for building truly integrated water resources and economic models, it faces many difficulties in terms of temporal and spatial scale issues and model formulation, calibration, solution and result interpretation, as well as extensive data requirement. This paper addresses the difficulties involved in large-scale holistic modeling for integrated river basin management, and provides solution methods taking a self-reflective stance through a prototype model. This paper is a methodological paper for practitioners who are interested in integrated water resources-economic modeling.
Article
Future water management will shift from building new water supply systems to better operating existing ones. The variation of water values in time and space will increasingly motivate efforts to address water scarcity and reduce water conflicts. Hydro-economic models represent spatially distributed water resource systems, infrastructure, management options and economic values in an integrated manner. In these tools water allocations and management are either driven by the economic value of water or economically evaluated to provide policy insights and reveal opportunities for better management. A central concept is that water demands are not fixed requirements but rather functions where quantities of water use at different times have varying total and marginal economic values. This paper reviews techniques to characterize the economic value of water use and include such values in mathematical models. We identify the key steps in model design and diverse problems, formulations, levels of integration, spatial and temporal scales, and solution techniques addressed and used by over 80 hydro-economic modeling efforts dating back 45-years from 23 countries. We list current limitations of the approach, suggest directions for future work, and recommend ways to improve policy relevance.
Article
Most lowland stream drainage-basins have a high population density and the land use is very intensive. The permeable subsoil acts as an integrating medium, thus providing a widespread dispersal of leached nutrients and transmission of water-table lowering. This leads to eutrophication and desiccation of stream ecosystems. For providing suggestions with respect to cost-effective and sustainable spatial planning solutions, the ‘Waterwise’ bioeconomic model has been developed. It combines the accuracy of simulation models with the versatility of optimization techniques to generate land-use patterns along with the appropriate water management, taking into account the preferences of stakeholders with respect to peak discharges, nutrient loading on groundwater and surface water, the biological value of nature areas, and the revenue from agriculture. Computational experiments with the model show, for instance, that a certain goal for the nitrogen load on surface water can be reached at a 40% lower cost if the measures are ‘tailored’ to the region instead of using generic-style measures towards the same end.
Article
Enlarging the scope of agricultural policy analysis, with contemporary issues such as multifunctional farming, means that conventional models should be adjusted. Starting from the intrinsic nature of multifunctionality, we show that the link between farm and policies is becoming increasingly important in the general framework of model-based policy impact analysis. This argues for the use of farm-level programming models. The paper presents three mathematical programming approaches, of which the choice depends on the type of problem and the availability of historical data. First is shown how normative mathematical programming (NMP) can help to simulate the impact of new activities when historical data are scarce. The second approach is positive mathematical programming (PMP), which allows taking both historically observed behaviour and new normative information into account. The similarities and differences between both approaches are illustrated with a simplified dairy farm model that simulates the uptake of meadow bird management. Finally, a more advanced programming technique, econometric mathematical programming (EMP), is introduced combining the advantages of econometrics and programming techniques. Advantages and disadvantages as well as the integration with other quantitative methods are discussed for relevance and applicability in multifunctionality research.
Article
This paper presents a disaggregated rural economywide modeling (DREM) approach to explore how agricultural and trade policy reforms play out within rural economies of less developed countries (LDCs). DREMS combine the strengths of aggregate, computable-general equilibrium (CGE), and microagricultural household models. We calibrate our model with new microsurvey data from Central Mexico, and we use the model to explore the impacts of policy changes on individual rural household groups as well as on the rural economy as a whole. Simulations highlight how rural market constraints and heterogeneous household responses shape the outcomes of policy reforms.
Article
Neural networks have been developed to model the electrolysis of wastes polluted with phenolic compounds, including phenol, 4-chlorophenol, 2,4-dichlorophenol, 2,4,6-trichlorophenol, 4-nitrophenol and 2,4-dinitrophenol. They enable the prediction the Chemical Oxygen Demand of a treated waste as a function of the initial characteristics (pollutant concentration, pH), operation conditions (temperature, current density) and current charge passed. A consistent set of experimental data was obtained by electrochemical oxidation with conductive diamond electrodes, used to treat synthetic aqueous wastes.Several modeling strategies based on simple and stacked neural networks, with different transfer functions into the hidden and output layers, have been considered to obtain a good accuracy of the model. Global errors during the training stage were under 3% and those of the validation stage were under 4%, demonstrating that the neural network based technique is appropriate for modeling the system.The generalization capability of the neural networks was also tested in realistic conditions where Chemical Oxygen Demand was predicted with errors around 5%. Therefore, the developed neural models can be used in industry to determine the required treatment period, to obtain the discharge limits in batch electrolysis processes, and it is a first step in the development of process control strategies.The ten step methodology was applied to the neural network based process modeling.
Article
"Using linear programming in bio-economic farm modelling often results in overspecialised model solutions. The positive mathematical programming (PMP) approach guarantees exact calibration to base year data but the forecasting capacity of the model is affected by necessary but arbitrary assumptions imposed during calibration. In this article, a new PMP variant is presented which is based on less arbitrary assumptions that, from a theoretical point of view, are closer to the actual decision making of the farmer. The PMP variant is evaluated according to the predictions of the bio-economic farm model, developed within the framework for integrated assessment of agricultural systems in Europe (SEAMLESS). The forecasting capacity of the model calibrated with the standard PMP approach and the alternative PMP variant, respectively, is tested in ex-post experiments for the arable farm types of Flevoland (the Netherlands) and Midi-Pyrenees (France). The results of the ex-post experiments, in which we try to simulate farm responses in 2003 using a model calibrated to 1999 data, show that the alternative PMP variant improves the forecasting capacity of the model in all tested cases." Copyright (c) 2010 The Authors. Journal compilation (c) 2010 The Agricultural Economics Society.
Article
Given the high proportion of water used for agriculture in certain regions, the economic value of agricultural water can be an important tool for water management and policy development. This value is quantified using economic demand curves for irrigation water. Such demand functions show the incremental contribution of water to agricultural production. Water demand curves are estimated using econometric or optimisation techniques. Calibrated agricultural optimisation models allow the derivation of demand curves using smaller datasets than econometric models. This paper introduces these subject areas then explores the effect of spatial aggregation (upscaling) on the valuation of water for irrigated agriculture. A case study from the Rio Grande-Rio Bravo Basin in North Mexico investigates differences in valuation at farm and regional aggregated levels under four scenarios: technological change, warm-dry climate change, changes in agricultural commodity prices, and water costs for agriculture. The scenarios consider changes due to external shocks or new policies. Positive mathematical programming (PMP), a calibrated optimisation method, is the deductive valuation method used. An exponential cost function is compared to the quadratic cost functions typically used in PMP. Results indicate that the economic value of water at the farm level and the regionally aggregated level are similar, but that the variability and distributional effects of each scenario are affected by aggregation. Moderately aggregated agricultural production models are effective at capturing average-farm adaptation to policy changes and external shocks. Farm-level models best reveal the distribution of scenario impacts.
Book
Although significant water trading has occurred in California since the drought of the early 1990s, many localities have restricted water transfers because of the perceived harm to other users and the local economy. In Who Should Be Allowed to Sell Water in California? Third-Party Issues and the Water Market, Ellen Hanak examines water transfers in California, local resistance to them, and various approaches to resolving water disputes. Drawing on a new database of water transfers as well as interviews with state, county, and water district officials, the report calls for water management at the local level that balances the interests of other residents and the potential gains from transfers.
Book
An ecosystem in freefall, a shrinking water supply for cities and agriculture, an antiquated network of failure-prone levees-this is the Sacramento-San Joaquin Delta, the major hub of California's water system. Written by a team of independent water experts, this analysis of the latest data evaluates proposed solutions to the Delta's myriad problems. Through in-depth economic and ecological analysis, the authors find that the current policy of channeling water exports through the Delta is not sustainable for any interest. Employing a peripheral canal-conveying water around the Delta instead of through it-as part of a larger habitat and water management plan appears to be the best strategy to maintain both a high-quality water supply and at the same time improve conditions for native fish and wildlife. This important assessment includes integrated analysis of long term ecosystem and water management options and demonstrates how issues such as climate change and sustainability will shape the future. Published in cooperation with the Public Policy Institute of California.
Article
A method for calibrating agricultural production models is presented. The data requirements are those for a linear programming model with the addition of elasticities of substitution. Using these data, production models with a CES production function can be simply and automatically calibrated using small computers. The resulting models are shown to satisfy the standard microeconomic conditions. When used for analysis of policy changes, the CES models are able to respond smoothly to changes in prices or constraints. Prior estimates of elasticities of substitution, supply or demand can be incorporated in the models.
Models Based on Positive Mathematical Programming: State of the Art and Further Extensions Estimation of constrained optimisation models for agricultural supply analysis based on generalised maximum entropy
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Heckelei, T., Britz, W., 2005. Models Based on Positive Mathematical Programming: State of the Art and Further Extensions. EAAE Seminar Paper, February 2005, Parma. Heckelei, T., Wolff, H., 2003. Estimation of constrained optimisation models for agricultural supply analysis based on generalised maximum entropy. European Review of Agricultural Economics 30, 27e50.
Un modelo regional agrícola de equilibrio parcial: el caso de la Cuenca del Río Bravo
  • R E Howitt
  • J Medellín-Azuara
Howitt, R.E., Medellín-Azuara, J., 2008. Un modelo regional agrícola de equilibrio parcial: el caso de la Cuenca del Río Bravo. In: Guerrero-GarcíaRojas, H.G., Yúnez Naude, A., Medellín-Azuara, J. (Eds.), El agua en México: Implicaciones de las políticas de intervención en el sector. El Fondo de Cultura Económica, México, D.F.
Water Resource Economics: the Analysis of Scarcity, Policies, and Projects Who Should be Allowed to Sell Water in California? Third-party Issues and the Water Market
  • R C Griffin
  • London
  • England
  • E Hanak
Griffin, R.C., 2006. Water Resource Economics: the Analysis of Scarcity, Policies, and Projects. MIT Press, Cambridge, Mass.; London, England. Hanak, E., 2003. Who Should be Allowed to Sell Water in California? Third-party Issues and the Water Market. Public Policy Institute of California.
Comparing Futures for the Sacramento-San Joaquin Delta Public Policy Institute of California A calibrated agricultural water demand model for three regions in northern Baja California Estimating economic value of agricultural water under changing conditions and the effects of spatial aggre-gation
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In: Lund, J.R., Hanak, E., Fleenor, W., Bennett, W., Howitt, R.E., Mount, J., Moyle, P. (Eds.), Comparing Futures for the Sacramento-San Joaquin Delta. Public Policy Institute of California, San Francisco, California. Medellin-Azuara, J., Howitt, R.E., Waller-Barrera, C., Mendoza-Espinosa, L.G., Lund, J.R., Taylor, J.E., 2009. A calibrated agricultural water demand model for three regions in northern Baja California. Agrociencia 43, 83e96. Medellín-Azuara, J., Harou, J.J., Howitt, R.E., 2010. Estimating economic value of agricultural water under changing conditions and the effects of spatial aggre-gation. Science of the Total Environment 408, 5639e5648. Medellin-Azuara, J., Howitt, R.E., MacEwan, D., Lund, J.R., 2012. Estimating impacts of climate related changes to California agriculture. Climatic Change 109 (S1), S387eS405.
Envisioning Futures for the Sacramento-San Joaquin Delta. Public Policy Institute of Cal-ifornia
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Lund, J., Hanak, E., Fleenor, W., Howitt, R.E., Mount, J., Moyle, R., 2007. Envisioning Futures for the Sacramento-San Joaquin Delta. Public Policy Institute of Cal-ifornia. Available at: http://www.ppic.org (Last accessed June 2011).
A fully calibrated generalized constant-elasticity-of-substitution programming model of agricultural supply A method for estimating the demand for irrigation water An analysis of ill-posed production problems using maximum entropy Ten steps modeling of electrolysis processes by using neural networks
  • P Merel
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  • R E Howitt
Merel, P., Simon, L.K., Yi, F., 2011. A fully calibrated generalized constant-elasticity-of-substitution programming model of agricultural supply. American Journal of Agricultural Economics 93 (4), 936e984. Moore, C.V., Hedges, T.R., 1963. A method for estimating the demand for irrigation water. Agricultural Economics Research 15, 131e135. Paris, Q., Howitt, R.E., 1998. An analysis of ill-posed production problems using maximum entropy. American Journal of Agricultural Economics 80, 124e138. Piuleac, C.G., Rodrigo, M.A., Cañizares, P., Curteanu, S., Sáez, C., 2010. Ten steps modeling of electrolysis processes by using neural networks. Environmental Modelling and Software 25 (1), 74e81.
Integrated economic-ecological modeling
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Economics and the modeling of water resources and policies
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Drought, jobs, and controversy: revisiting 2009. University of California Giannini Foundation of Agricultural Economics ARE Update
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Un modelo regional agrí***cola de equilibrio parcial: el caso de la Cuenca del Rí***o Bravo
  • Medellín-Azuara Howitt
Economic effects on agriculture of water export salinity south of the Sacramento-San Joaquin Delta
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