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Environment and Development Economics 6 (2001): 85–101 Copyright © 2001 Cambridge University Press Policy Options The effect of development on the climate sensitivity of agriculture ROBERT MENDELSOHN Yale School of Forestry and Environmental Studies, 360 Prospect Street, New Haven, CT 06511, USA ARIEL DINAR World Bank, 1818 H Street, Washington, DC, 20433 USA APURVA SANGHI NERA, 1255 23rd Street, Washington, DC, 20037 USA ABSTRACT This paper examines whether a country’s stage of development affects its climate sensitivity. The paper begins with a model of agriculture that shows that the effect of development on climate sensitivity is ambiguous, depending on the substitution between capital and climate. To resolve this issue, the climate sensitivity of agriculture in the United States, Brazil, and India is measured using a Ricardian approach. Relying on both intertemporal as well as cross-country comparisons, the empirical analysis suggests that increasing development reduces climate sensitivity. 1. Introduction In anticipation of global warming, there has been an extensive amount of research done examining the sensitivity of the economy to climate over the last 15 years. The Intergovernmental Panel on Climate Change (IPCC) (Pearce et al., 1996) reports that agriculture, energy, coastal structures, water, and timber are all likely to be sensitive to climate change. Further, this report hypothesizes that the damages will be greater in developing countries because their level of capital and technology is lower. For example, the results cited in Pearce et al. (1996) predict that OECD countries will suffer damages of 1.4–1.6 per cent of GDP but less-developed countries will have damages between 1.6 per cent and 2.7 per cent. Economies with less capital and technology could be more vulnerable to climate change because they have less control over their environments, because more of their economy is in vulnerable sectors, and because they have warmer climates to begin with. Although it is commonly believed that vulnerable sectors in developing 86 Robert Mendelsohn, Ariel Dinar, and Apurva Sanghi countries are more climate sensitive (Nordhaus, 1991; Schelling, 1992), it has never been empirically tested. In fact, a formal theory explaining why climate sensitivity would fall as the level of development rises has not yet been developed. This paper develops a theoretical model to examine how development might affect the climate sensitivity of agriculture. Agriculture is an appropriate sector for such an analysis because it could be the single most important market impact from warming (Mendelsohn and Neumann, 1998; Mendelsohn and Schlesinger, 1999; Mendelsohn et al., 2000) and because it has a significant role in developing country economies, averaging 30 per cent of GDP (World Resources Institute, 1996). The model of agriculture includes technology, climate, and other inputs. The model explores how technology could affect climate sensitivity. McKinsey and Evenson, (1998) argue that technology has not had a direct effect on climate sensitivity because new technology has not historically been used to systematically move crops into warmer or cooler climate zones. Nonetheless, if technology encourages capital to substitute for climate, the climate sensitivity function might flatten and move higher with development (see figure 1), so that developing countries would be relatively less vulnerable to climate change. In contrast, if the marginal productivity of technology is higher for farms in ideal climates, technology and climate could be complements. In this case, technology would be targeted at ideal climate conditions, making farms in these environments High technology Crop response Low technology Temperature Figure 1 Technology and climate substitutes Environment and Development Economics 87 High technology Crop response Low technology Temperature Figure 2 Technology and climate complements even more productive relative to more marginal locations. The overall climate response function would become steeper as development increases (see figure 2). Development consequently could increase or decrease the climate sensitivity of agriculture depending upon how technology affects the interaction between capital and climate. In order to determine how development affects climate sensitivity, one must first establish a measure of development. The literature on development provides several measures of development (e.g., Hicks and Streeten, 1979; Hayami and Ruttan, 1985; Nafziger, 1990). Some measures cover an entire country whereas others are specific to a sector. For example, one common measure of overall development is income per capita. As shown in table 1, income per capita clearly ranks India, Brazil, and the United States in increasing order. An alternative measure in the agricultural Table 1. GNP per capita ($) Year India Brazil USA 1986 1991 1995 1997 297 323 320 354 1,854 2,882 3,427 4,283 22,786 23,941 25,404 26,080 Note: Values are in 1990 USD adjusted by GNP deflator. Sources: World Bank (1988, 1993, 1997, 1998). 88 Robert Mendelsohn, Ariel Dinar, and Apurva Sanghi Table 2. Tractors per hectare Year India Brazil USA 1960 1970 1980 1990 1994 0.004 0.013 0.075 0.087 0.096 0.013 0.031 0.065 0.092 0.135 0.354 0.472 0.616 1.120 1.142 Sources: From 1960–1980, Hayami and Ruttan (1985); for 1990, 1994 FAO Website (http://apps.fao.org). sector is technology such as tractors per hectare, table 2. Note that the order of countries remains the same with both the income and the technological measure, and that, except for income in the early 1990s in India, income per capita and tractors increased steadily over time in all three countries suggesting that development has increased over time in each country. This study empirically examines agriculture in Brazil, India, and the United States in order to test how development has affected climate sensitivity. Samples of farms from all three countries have been gathered to conduct Ricardian analyses in each country (Mendelsohn, Nordhaus, and Shaw, 1994; Dinar et al., 1998; Sanghi, 1998). First, we examine Indian and Brazilian climate sensitivity over time as development has increased. The climate sensitivity of farms in both countries has fallen over time. Second, we compare the climate sensitivity of India and the United States. The Ricardian function for India is more climate sensitive than the American climate response function. These results suggest that development does lead to lower climate sensitivity. 2. Theory This section develops a model of agriculture to explore the relationship between development and climate sensitivity. The model builds upon the Ricardian approach (Mendelsohn, Nordhaus, and Shaw, 1994). Consumers are assumed to have well-behaved utility functions and linear budget constraints. Assuming that consumers maximize utility subject to their incomes, one can derive a system of inverse demand functions for all goods and services P1 F1(Q1, Q2, . . ., Qn, Y) Pn F1(Q1, Q2, . . ., Qn, Y) (1) where Pi and Qi are respectively the price and quantity of good i, i 1, . . ., n, and Y is aggregate income. The Slutsky equation is assumed to apply, so that (1) is integrable. Assuming a set of well-behaved production functions Qi Qi(K, W, D), i 1, . . ., n (2) one can link technology or development (D), climate (W), and other purchased inputs (K) into the production of outputs (Qi) by a firm on a certain Environment and Development Economics 89 site. Cost minimization of the production function leads to a cost function, Ci Ci Ci(Qi, R, W, D) (3) given the prices of other inputs (R). In this analysis, it is helpful to separate land from the other variable inputs. We assume that land, Li, is heterogeneous with characteristic W and has an annual cost or rent of pLW. In this analysis, we are specifically interested in the climate that is tied to each piece of property. Firms are assumed to maximize profits given market prices Max PiQi Ci(Qi, R, W, D) pLW Li(W) Qi (4) where Pi is the price of good i. Profit maximization leads firms to equate prices and marginal cost as well as determine cost-minimizing levels of production. We assume that there is perfect competition for land, which implies that entry and exit will drive pure profits to zero PiQi Ci(Qi, R, W, D) pLW Li(W) 0 (5) If producing good i is the best use for the land given the climate, technology, and factor prices, the observed market rent on the land will be equal to the annual net profits from production of good i. Solving for the value of land rent per hectare yields pLE [PiQi Ci(Qi, R, W, D)]/Li(W) (6) The land rent should be equal to the net revenue from the land. Taking the present value of this stream of revenue over time suggests that land value, VLW is equal to the present value of the stream of future net revenue VLE p 0 ert dt LW [P Q C (Q , R, W, D)] e 0 i i i i rt/L (W) i dt (7) By examining the relationship between land value (or net revenue) and climate, one can measure its impact on the present value of net revenue. The essence of the Ricardian model is (6) and (7). We now wish to explore the relationship between technology and climate sensitivity. McKinsey and Evenson (1998) built a technology– climate model to measure how the green revolution affected crops in India. They find that the green revolution in India increased farm net revenue substantially but that technology had a neutral impact on climate sensitivity. In this case, technology and climate were largely independent of each other. McKinsey and Evenson argue that the green revolution in India did not try to move crops to new climate zones, it merely attempted to increase productivity on a site. Even if new technology has not historically tried to move crops into new climate zones, technology could affect climate sensitivity by changing the production function. For example, suppose the production function for crops is Qi G(R) * (aW bW2*Dc) * H(D) (8) 90 Robert Mendelsohn, Ariel Dinar, and Apurva Sanghi where a, b, and c are parameters. G(R) measures the productivity of purchased inputs, H(D) is the direct productivity associated with development, D, and (aW bW2*Dc) measures the interaction between climate, W, and development. In general, dG/dK 0, d2G/dK2 0, dH/dT 0, and d2H/dT2 0. With respect to temperature, we expect that a 0 and b 0, so agriculture would exhibit a hill-shaped relationship with respect to temperature. The issue in this paper is whether the parameter c is greater or less than zero. If c 0, technology allows farmers to substitute capital (or other inputs) for climate. Technology will increase productivity in more marginal areas and will flatten the climate sensitivity function (figure 1). More technology will result in climate change having a smaller effect on farm net revenues. If c 0, new technologies will increase productivity in optimal climate locations more than in marginal locations. The result will be a more steeply shaped climate response function (figure 2). In this case, agriculture will get more sensitive to climate change with increased development. The relationship between development and climate sensitivity depends upon whether new technology encourages capital to be a complement or a substitute for climate. By examining Ricardian functions over time as the level of technology increases and by examining Ricardian functions across countries with different levels of technology, one can determine which hypothesis is empirically correct. There are many assumptions in the Ricardian approach. Perhaps the strongest assumption is that output prices would remain constant as climate changes. If this assumption of constant output prices is relaxed, crops that face a supply increase would have falling prices and crops that face a supply reduction would obtain higher prices. By failing to take these price changes into account, the Ricardian climate response functions are biased, underestimating damages and overestimating benefits (Cline, 1996). The bias, however, is likely to be small. For example, assuming that an agricultural crop has a demand price inelasticity of 0.5, a supply price elasticity of 0.5, and a quantity change of 25 per cent, the average bias in the welfare estimate will be only 7 per cent (Mendelsohn and Nordhaus, 1996). In a world where some crops may expand whereas others may contract, the bias from holding prices constant consistently exaggerates the net benefits of change. For example, if warming increased corn production and decreased wheat production, the constant price assumption would overstate the corn benefits and understate the wheat losses. As these two welfare effects offset each other, the true welfare effect may be near zero but the Ricardian model might predict a small net benefit. This could lead to a large percentage error, but the absolute size of the welfare bias remains small. Another intriguing question plaguing all impact studies is whether they should be modeling the world or just individual countries. Although it is theoretically preferable to model the world, it is empirically demanding. As a starting position, most agricultural studies have consequently limited themselves to studying individual countries and have simply examined alternative assumptions about international trade (Adams et al., 1995, 1998). A few studies have explored global agricultural models but they Environment and Development Economics 91 have been forced to explore hypothetical impacts across countries (Reilly, Hohmann, and Kane, 1994) or they have relied on limited economic processes (Rosenzweig and Parry, 1994). This study examines results on a purely national scale and does not take into account global responses. Cross-sectional techniques are also vulnerable to omitted data. If there are important differences between one area and another which are not observed by the analyst and these omitted variables are correlated with climate, the analyst can reach biased conclusions. The cross-sectional studies in this report attempt to account for important site factors, such as soils and market access. However, inadequate data and oversight can lead to some important variables being left out of the analysis. If the omitted variables can be shown to be correlated with climate, the magnitude and direction of the bias can be identified. One variable that other analysts felt should be included in the Ricardian analysis is irrigation (Cline, 1996; Darwin, 1999). The original Ricardian study (Mendelsohn, Nordhaus, and Shaw, 1994) omitted irrigation intentionally. The Ricardian authors felt that irrigation is an endogenous response to climate, not an exogenous factor that should be held constant. However, in response to Darwin, Mendelsohn, and Nordhaus (1999) include irrigation in a two-stage regression. As Darwin predicted, irrigation is largely a response to inadequate precipitation during the growing season. However, Darwin was not correct that including irrigation would result in agriculture being more temperature sensitive. The results showed that the temperature sensitivity of agriculture in the United States did not change when irrigation was included in a land-weighted Ricardian model. This is an important result since irrigation is difficult to control completely. Interestingly, the importance of precipitation increased with irrigation included in the model. Accounting for the high cost of installing irrigation reveals that low precipitation farms are less valuable. The Ricardian method informs about climate sensitivity by comparing one farm with another. The method is not dynamic. It studies climate effects by comparing one equilibrium with another. The Ricardian method itself does not reveal much about the dynamics of agriculture, and it cannot answer questions such as how quickly farmers would adjust to climate change. Evidence about the speed of agriculture adjustments is clearer when examining how rapidly farmers adjust to new market conditions and new agricultural policies. Market evidence suggests that agricultural systems tend to adjust rapidly, adapting to changes in prices within a year or two. Another criticism leveled at the Ricardian model concerns whether or not adaptation costs are included (Quiggin and Horowitz, 1999). The Ricardian model does include adaptation costs accounted for by the market. For example, if a farmer shifts to a new crop in order to adapt to climate change, the model does take account of any changes in net revenues. If the new crop requires more inputs, for example, this would be accounted for. The model, however, would not take into account capital equipment abandoned to make an adjustment to a new crop. For example, if a farmer shifted from wheat to corn, farm machinery that could only be used on wheat would have to be abandoned. If this machinery lasted many 92 Robert Mendelsohn, Ariel Dinar, and Apurva Sanghi decades, there could be substantial adjustment costs associated with rapid responses. However, in practice, most farm machinery has an expected lifetime of only five to ten years. Farmers can consequently adjust their capital stock frequently over a century at virtually no cost. We consequently believe that adjustment costs are not likely to be an important factor explaining the effect of a slow-moving change, such as climate change, on a versatile sector such as agriculture. 3. Empirical analysis We engage in several analyses to test the relationship between development and climate sensitivity. First, we use a panel of districts in India to explore what happens to the annual climate response function as technology increases, between 1966 and 1986. Second, we examine a panel of municipios in Brazil to test whether the climate response function in Brazil has shifted over time. Third, we compare the climate response functions estimated in India and the United States. We do not include Brazil in these comparisons because the climate measurements for Brazil are not consistent with the Indian and American data. To illustrate the differences found in these models, we use the Indian and American models to predict the outcome of warming in both the United States and India. In order to appreciate the data upon which the analysis rests, we present the range of climates observed for each country in table 3. The temperature range for each country is large compared to temperature changes predicted by warming. The difference between the United States and the two tropical countries is also large, especially in winter. These three countries represent two distinct bands in the temperature range of the earth, the temperate and the tropical. Fitting the climate response function to this wide range of observed temperatures suggests the results would be applicable even in a severe climate change scenario. However, one must be careful not to extrapolate the results beyond the observed range of the data. For example, the positive squared terms in some of the Indian regressions imply that the temperature response function is convex for India. It is not correct to extrapolate that therefore extreme hot temperatures would be good for India because these temperatures would put India on the rising part of that function. Table 3. Country climates Winter Country Low Summer Mean High Low Mean High Temperature (C) Brazil 7.2 India 9.2 US 218.1 20.0 18.3 20.2 32.8 25.3 20.3 15.9 21.9 13.8 24.4 27.9 24.3 33.4 32.5 33.9 Precipitation (mm/mo) Brazil 0.1 India 0.3 US 6.1 73.3 18.4 66.5 426.9 76.0 355.6 1.1 0.0 0.0 173.4 307.0 92.2 495.8 916.9 233.7 Environment and Development Economics 93 Several cross-section panels are used in this analysis. There are 21 annual cross sections of net revenue in India from 271 districts (Dinar et al., 1998). The first analysis breaks this Indian data set into two parts (1966–1976) and (1977–1986) and compares results of early versus later years. In Brazil, there are four cross sections of property values from 3,941 municipios collected in Censuses taken in 1970, 1975, 1980, and 1985 (Sanghi, 1998). The second analysis compares the Brazilian results for 1970 and 1975 with the results for 1980 and 1985. The third analysis compares property values in India and the United States. Property values are approximated for the Indian data set using the present value of annual net revenues from 1966 to 1986. In the United States, we rely on a single cross section of property values in 1,900 countries taken in 1983 (see Mendelsohn, Nordhaus, and Shaw, 1994). The final analysis compares predictions using the coefficients from the Indian and American regressions. Using both models, we predict warming results for both India and the United States. Panel data analysis We use a semi-log quadratic functional form to explain Indian net revenue, NR Log(NR) ai Ci bi Ci2 dj Xj e (9) where Ci are climate variables and Xj are control variables such as soils and economic variables (see Sanghi, Mendelsohn, and Dinar, 1998). The quadratic form tests a hill-shaped response function to the climate variables. The regression is estimated using WLS, weighted by the number of hectares of cultivated land in each district. The coefficients from the regression are presented in table 4. The means have been subtracted from the climate variables in (9). The linear coefficients consequently represent the marginal effect of each climate variable evaluated at the mean of Indian climate. The coefficients of both temperature and precipitation are different in the 1966–1975 versus 1977–1986 periods for India. The sum of the marginal temperature coefficients across seasons is 0.272 in the earlier period and 0.081 in the later period. The difference in the temperature coefficients is statistically significant (F 7.38). The sum of the marginal precipitation coefficients increases over this period from 6.77e-3 to 11.38e-3. The precipitation coefficients in the two periods are also significantly different (F 30.10). The intertemporal Indian data set thus provides support for the proposition that development has reduced India’s climate sensitivity over time. The remaining studies analyze property values. In all cases, we rely on a log-linear functional form. Time dummy variables control for socioeconomic factors that might vary over time as well as for inflation. Given the hyperinflation in Brazil in the eighties, inflation is a difficult factor to control for explicitly. Just subtle distinctions such as the month of the survey could alter values by several percentage points. The regressions were weighted by the number of hectares in cultivation. With the Brazilian analysis, the climate variables for 1970 and 1975 were allowed to differ from the climate coefficients for 1980 and 1985. These two 94 Robert Mendelsohn, Ariel Dinar, and Apurva Sanghi Table 4. Indian annual regression Temperature January Jan Sq. April Apr Sq. July July Sq. October Oct. Sq. Precipitation 1966–1975 1977–1986 1966–1975 1977–1986 9.41 (0.23) 2.85 (0.92) 144. (5.11) 16.4 (3.30) 121. (2.65) 23.3 (4.57) 15.8 (0.28) 21.6 (1.78) 32.0 (0.79) 11.4 (3.62) 102. (3.58) 8.81 (1.75) 299. (6.43) 6.04 (1.16) 353. (5.97) 12.9 (1.05) 10.0 (4.01) 0.076 (1.06) 2.30 (1.28) 0.055 (2.67) 1.40 (7.94) 0.003 (9.49) 6.94 (8.45) 0.030 (5.53) 18.5 (7.30) 0.227 (3.13) 9.81 (5.40) 0.079 (3.61) 1.16 (6.33) 0.002 (5.64) 3.85 (4.70) 0.005 (0.92) Control variables 1966–1976 5691. (15.78) Literacy 119. (11.50) Bulls/ha 106. (3.84) Soils1 303. (15.05) Soils4 26.6 (0.95) R2 0.93 1977–1986 Latitude Tractors/ha Soils2 Soils5 5189. (14.42) 49.0 (3.19) 2095. (0.79) 193. (8.06) 89.5 (2.24) N Popden High Yield #hectares Soils3 Soils6 28.1 (8.10) 4.86 (0.08) 146. (9.27) 123. (3.58) 103. (2.22) 5624 a t-statistic in parenthesis. Dependent variable is the log of real annual Note: net revenue. The mean has been subtracted from each climate variable. Coefficients multiplied by 1,000. sets of climate coefficients are compared in table 5 along with the remaining variables used in the regression to control for soils and economic variables. The means of the climate variables have been subtracted from the climate variables. The sum of the marginal temperature coefficients is equal to 50.5 in the earlier period and 43.2 in the later period. The sum of the marginal precipitation coefficients is equal to 1.5 in the early period and 1.9 in the later period. The temperature coefficients and the precipitation coefficients were not significantly different. The results suggest that development in Brazil has reduced climate sensitivity over time slightly. In both the Indian and Brazilian regressions, there were also some changes in the coefficients on the squared climate terms. In India, the temperature and precipitation squared terms tended to become less negative, Environment and Development Economics 95 Table 5. Brazilian panel regression Temperature March Mar Sq. June Jun Sq. September Sep Sq. December Dec Sq. 1970–1975 1980–1985 1970–1975 1980–1985 99.2 (3.95) 9.47 (3.43) 131. (9.38) 17.4 (9.15) 146. (8.89) 36.8 (21.97) 164. (6.34) 2.35 (0.68) 90.0 (4.31) 7.13 (2.99) 123 (11.88) 12.5 (8.15) 172. (12.77) 36.1 (25.85) 182. (8.43) 14.2 (5.05) 2.07 (6.43) 0.24 (0.19) 2.95 (6.51) 3.32 (1.52) 0.51 (0.70) 47.5 (9.31) 3.02 (10.92) 4.20 (2.91) 2.44 (9.13) 4.37 (4.42) 1.72 (4.91) 0.22 (0.12) 0.92 (1.64) 52.3 (12.35) 2.75 (11.53) 0.02 (0.02) Control variables Soils 28.1 (1.54) Soils2 140. (7.26) Soils3 422. (14.61) Soils4 71.7 (1.91) Soils5 479. (7.45) Soils6 408. (7.45) R2 Precipitation 0.76 Soils7 Soils8 Soils9 Soils10 Soils11 Soils12 N 143. (4.09) 275. (11.70) 125. (5.76) 714. (38.01) 553. (26.81) 587. (13.05) Latitude Population Pop sq Yr70 Yr75 Yr80 113. (28.69) 0.39 (18.87) 1.16 e-5 (17.93) 1506. (43.50) 285. (8.30) 14.5 (1.06) 14827. Note: t-statistic in parenthesis. Dependent variable is the log of property values per hectare. The mean has been subtracted from each climate variable. Coefficients are multiplied by 1,000. implying a flattening of the climate sensitivity function. In Brazil, there were only two significant changes. The December temperature squared term became more positive and the March precipitation squared term became more negative. Cross-sectional analysis We now compare the evidence between the United States and India. The regression for the United States involves just one year of data, 1983. The annual net revenue data from India for 1966 to 1986 is used to compute a net present value for each district (assuming a 5 per cent interest rate). The results of the United States regression are shown in table 6 and the results for the Indian regression are shown in table 7. The climate variables 96 Robert Mendelsohn, Ariel Dinar, and Apurva Sanghi Table 6. United States cross-sectional regression January Jan Sq. April Apr Sq. Temperature Precipitation 85.9 (5.31) 1.04 (1.52) 54.0 (1.16) 3.71 (2.03) 2.33 (2.03) 0.69 (0.19) 1.07 (0.40) 16.2 (3.51) Control variables Population Pop sq. Latitude Salinity Flood prone Constant R2 2.18 (24.98) 5.35 e-4 (13.60) 10.2 (3.69) 2463. (12.97) 213. (3.52) 5804 (6.63) .98 Temperature Precipitation 6.31 (3.99) 28.2 (3.51) 5.88 (2.06) 74.0 (4.08) July 127. (1.55) July Sq. 4.77 (2.60) October 25.7 (0.35) Oct Sq. 7.19 (2.74) Water capacity 5.21 e-2 (1.83) 792. (5.30) 426. (1.98) 24.6 (3.80) 13.7 (0.21) 55.6 (2.14) Wetland Erosion Slope length Sand Clay N 2938 Note: Dependent variable is log of property value. The coefficients are multiplied by 1000. t-statistics are in parenthesis. Table 7. Indian cross-sectional regression Temperature Precipitation January Jan Sq. April Apr Sq. 151. (0.43) 3.52 (0.45) 408. (0.61) 9.11 (0.82) Control variables Literacy 1150. (3.11) High Yield 202. (0.61) Tractors 3070. (0.24) Constant 9120. (0.79) R2 .38 8.57 (0.82) 0.21 (1.15) 8.04 (1.12) 0.04 (0.65) Temperature Precipitation July 1980. (3.08) July Sq. 37.0 (3.25) October 1050. (0.75) Oct Sq. 21.6 (0.82) Hectares Soils1 Soils2 N 0.27 (0.32) 0.00 (0.33) 6.31 (1.63) 0.01 (0.54) 203. (2.16) 204. (3.18) 150. (1.84) 269 Note: Dependent variable is log of present value of net revenues. The coefficients are multiplied by 1000. t-statistics are in parenthesis. Environment and Development Economics 97 have not been transformed in these regressions so that results from one country can be compared with the other. In order to understand what the complex set of coefficients implies for temperature, we compare a range of warming scenarios. For each temperature change scenario, we examine what each regression implies for both countries. In order to make the results comparable across countries, we express the impacts as a percentage of the original agricultural value. Applying both climate response functions to India reveals that the Indian climate function is more sensitive than the American climate function (figure 3). A 2C warming implies damage of 6.6 per cent according to the American function but damage of 36.0 per cent according to the Indian function. A similar result is found for the United States (figure 4). The American climate response function Figure 3 Warming impact to India—effect of temperature on farm value Figure 4 Warming impact to United States—effect of temperature on farm value 98 Robert Mendelsohn, Ariel Dinar, and Apurva Sanghi implies a 2C warming would result in damages of 1.2 per cent whereas the Indian climate response function predicts damages of 40.4 per cent. The estimates in figures 3 and 4 take only the temperature change into account and do not factor in the effects of precipitation or carbon dioxide. If one assumes that precipitation will increase by 8 per cent and that carbon fertilization will increase productivity by 30 per cent, the net effect of a 2C warming in India would be a benefit of 23 per cent according to the US function and no net effect according to the Indian function. The effects in the United States would be a benefit of 29 per cent according to the American function and a loss of 20 per cent according to the Indian function. The Indian climate response function is far more temperature sensitive than the American climate response function. 4. Conclusion and policy implications This paper analyzes the link between development and climate sensitivity. The paper begins by developing a theoretical model of agriculture to understand how development could affect climate sensitivity. Technology could encourage capital to either substitute or complement climate in agricultural production. If capital becomes more of a substitute (complement) for climate with new technology, development will reduce (increase) climate sensitivity. The effect of development on climate sensitivity is therefore an empirical question. Several empirical analyses are conducted to measure the interaction between development and climate using the Ricardian approach. Two of the studies rely on intertemporal comparisons following agricultural climate sensitivity over a long time period in India and Brazil. Development has increased and climate sensitivity has fallen in both countries over time. The analysis consequently suggests that development may reduce climate sensitivity. However, this intertemporal test is an indirect measurement. The analysis does not directly link development to a change in climate sensitivity. It remains possible that other factors that also changed monotonically over time could have caused climate sensitivity to change. The paper also examines cross-country effects. This analysis compares the climate sensitivity between India and United States. The study reveals that the Ricardian function for Indian agriculture is far more climate sensitive than the American Ricardian function. These differences are significant and substantial. The predicted effect from warming is much more severe using the Indian estimated coefficients compared to the American coefficients. These results suggest that development does have an important effect on climate sensitivity. Farmers in less-developed countries are currently more climate sensitive than the farmers in more-developed countries. Combining this climate sensitivity with the higher temperatures at low latitudes suggests that low-latitude agriculture would be hurt if warming occurred today. The results however provide a slightly more optimistic picture if warming occurs far into the future. If developing countries can continue to improve their agricultural systems, they are likely to be less climate sensitive when warming actually occurs. With continued develop- Environment and Development Economics 99 ment, global warming has an ambiguous effect on farmers in low-latitude countries. These results have important implications for policy. As countries continue to develop, future damages from warming are likely to be smaller than they would have been if the climate changed today. Since most warming scenarios imply climate changes primarily in the latter half of the next century, damages in developing countries may not be as large as first thought. The quadratic nature of the climate response functions also implies that warming will cause more severe damages if temperatures rise more than currently expected. As the likelihood of global warming increases, adaptation is becoming an increasingly important strategy. Farmers in developing countries are more vulnerable to climate impacts precisely because they have less capital-intensive technologies and management practices. The international community could respond to climate change by helping developing countries adopt more modern farming techniques. Not only will this have direct benefits to current farmers, but also it will likely reduce their climate sensitivity. The international community can also help by conducting empirical studies of impacts in developing countries. There have been an inadequate number of studies done on developing countries to date. Additional impact studies in developing countries are badly needed to understand the consequences of climate changes around the world. Most conspicuously, there have been almost no empirical studies in Africa despite it being one of the most vulnerable regions in the world. National governments can explore two different roles. First, they can support public research and development into modern technologies. Even if this effort were climate neutral, it would help private farmers develop more options for handling climate change. Further, some research could directly explore augmenting new management practices and varieties of crops to cope with warming. Since climate change is a relatively slow process, countries can gradually invest in modern approaches to meet this need. Governments could also address the efficiency of their agricultural sectors. 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