G-ECON Creation and Analysis of a Geophysically Scaled Economic Data Set May 2001 William Nordhaus Yale University I. Background The last two decades have witnessed a dramatic growth in the availability and analysis, at both national and international levels, of a wide array of socioeconomic processes in parallel with development of data and analysis of geophysical data. A major gap in current analysis is the virtually complete disjunction of socioeconomic and geophysical analyses. In part, the lack of intersection of the research programs has been due to the disparate interests and descriptions of the two sets of groups working in these two areas. Analysis of socioeconomic data has been largely undertaken by economists and other social scientists concerned with “wealth of nations,” comparative growth rates, and national economic policies. These analyses have naturally relied upon socioeconomic data constructed from accounts largely free of any geophysical dimension and sorted by political boundaries.1 The other group, largely consisting of natural scientists, has concentrated on understanding geophysical processes. These have increasingly relied upon direct earth or satellite observation of a wide variety of geophysical phenomena such as weather or climate, ecological features, glaciology, and so forth. The units of analysis in these geophysical studies are generally physical, or “gridded” by latitude or longitude. Prominent example of such geophysically-based studies are ones that attempt to project the climatic consequences of the accumulation of radiatively active atmospheric gases. There have been several attempts to link geophysical studies with socioeconomic studies. Perhaps the most intensive have been the “integrated The major exceptions are forestry and agriculture, which have sometimes combined geophysical and political boundaries. 1 1 assessment” models developed in the climate-change community. (See Nordhaus [1994] for an early version. A full review of existing integrated assessment models as of around 1995 is contained in IPCC [1996].) These analyses have linked the geophysical and socioeconomic modules by rescaling the geophysical variables (such as climate and ecological impacts) into political boundaries. For example, in the RICE-99 model, Nordhaus and Boyer [2000] take the outputs of geophysically scaled climate variables and rescale them to 8 or 13 politically-defined regions. For the most part, there have been no attempts to rescale from political to geophysical definitions. This gap has occurred partly because the major impacts being examined were economic ones along with national economic or energy policies. Even more important, however, has been the complete lack of an integrated socioeconomic data base scaled on a geophysical level. To put it simply, it would be impossible to conduct an economic analysis as a geophysical basis today because the underlying data do not currently exist. The purpose of this project is to close this gap by developing a geophysically scaled economic data set. The end product will be a global Geophysically Scaled Economic Data Set (called G-ECON). The G-ECON project will be a gridded data set at a 1 degree longitude by 1 degree latitude resolution. This is approximately 100 km by 100 km, which is somewhat smaller than the size of the major subnational political entities for most large countries (e.g., states in the United States, Länder in Germany, or oblasts in Russia). The main effort of this research will be to create data on gross regional product (explained in detail below). In addition, we will merge the economic data with other important demographic and geophysical data such as climate, physical attributes, location indicators, population, and luminosity. More details about the construction of G-ECON, the data sources, and the methods are introduced below. II. Utility of the Research A. Value of the Data Set The major point to emphasize is that geophysical scaling is a radically different conception of socioeconomic data. Up to now, virtually all socioeconomic data have been viewed outside of their geophysical context. As a result, current macroeconomic research for the most part ignores the spacial and 2 geophysical dimensions of economic activity. G-ECON will be useful for a wide variety of purposes. Some can be foreseen at the present time, while others are either conjectural or cannot be forecast at present. This section outlines a few of the potential uses of G-ECON.2 One research area is to examine the impact of geography on economic activity. This research would consider the impact of climatic variables, altitude, distance from coast, proximity to markets, and similar variables on the density of economic activity. Because this research project is envisioned as part of this research, we postpone a full discussion of this topic to part IV. This topic has been of great interest for many decades and will be greatly informed by G-ECON. Another research area, which is likely to be undertaken by natural scientists, will consider the impact of economic activity on important physical activities. One important area will be to link environmental variables to economic activity. Many environmental variables – such as deforestation, pollution, or visibility – are conveniently observed on a geophysical scale, such as by satellite data. The availability of G-ECON will allow statistical and other analyses to trace the relationship between the economic and geophysical or environmental phenomena. For example, it will be possible to trace the impact of economic activity on pollution, deforestation, coastal degradation, and other important environmental phenomena.3 More generally, G-ECON will facilitate a deepening of our understanding of anthropogenic environmental phenomena. Until recently, there has been very little spacial analysis of the relationship between economic activity and environmental variables. For example, work on the “environmental Kuznets curve” has uniformly relied on city or national economic and environmental data.4 Particularly for local pollution, geophysically based data are clearly preferable. Several research areas on the interface between the environment and the social sciences are reviewed in National Research Council [1992]. 2 Studies of deforestation have begun to combine politically scaled and geophysically scaled variables. See Meyer and Turner [1994], especially chapter 17. 3 4 See Grossman and Kreuger [1995] for an influential study. 3 One of the most important areas where G-ECON will be valuable is in the investigation of climate change. Up to now, climate-change research has taken gridded data and transformed it into politically scaled variables. (See IPCC [1996] for a review of existing economic approaches. In most analyses of impacts, climatic variables have been aggregated into national averages, which then use conventional socioeconomic data.) In Mendelsohn, Nordhaus, and Shaw [1994], the climatic data were converted to a county basis for the United States. Also, Mendelsohn and Neumann [1999] estimated a variety of impacts using politically scaled variables. However, once the conversion to politically scaled variables takes place, there is no way to convert the results back into geophysically scaled variables to link to ecological and other geophysical models. In working with G-ECON, two important characteristics of the data will enhance its value relative to politically scaled data. The first is that the sheer size of the data will allow much more refined analyses. While we have not determined the exact number of relatively reliable data cells, our current estimate is in the order of 20,000 land-based observations. This compares with approximately 200 observations that are available with politically scaled variables at the nation level. Such an increase in resolution is similar to the availability of data from the Hubble telescope, which provided clear and crisp answers to many previously difficult and fuzzily answered questions. The second point is that gridded data are much more homogeneous in scale than are politically scaled data. With political data, the largest 20 observations contain approximately 95 percent of either output or population, and it makes little sense to conduct a statistical analysis with such disparate elements as the United States (with 1995 GDP of $6176 billion) and Gabon (with 1995 GDP of less than $1 billion). As a final observation it should be emphasized that the data set proposed here is likely to be the first rather than the last word. The history of innovative data systems usually involves small-scale efforts by private researchers to provide an example of how a particular data system might be constructed or used. After the initial experience, if in fact the data set appears valuable, more extensive and regular collection can be routinized and institutionalized within government agencies.5 The creation of regular global and national G-ECON by For example, the U.S. national income and product accounts were first developed by a private researcher, Simon Kuznets, and were then lodged inside the government during the Great 5 4 statistics agencies of governments is entirely feasible once the general principles are developed, and it could form part of the regular data collection and processing activities of governments. B. Relationship to New Techniques in Economics and Related Disciplines The interaction between social and geophysical sciences has been spurred by important developments in tools for analysis. New tools and software—in particular, geographic information systems (GIS)—give the opportunity to examine the relationship between geophysical variables such as climate, location, and economic activity and to make more sophisticated analyses of the complex relationships between geography and socioeconomic variables. GIS systems have three important characteristics. They process geographically referenced systems; they relate locational data and characteristics; and they are computerized.6 At present, GIS is widely used in the geophysical sciences but is virtually unknown within economics. Although GIS techniques are attractive for research at the intersection of economics and the environment, there are many obstacles to such analyses. One set of difficulties relates to the incompatible frameworks used by different scientists to generate gridded data for use in GIS systems and, consequently, the different data formats and the lack of a common framework.7 The most important obstacle, however, is the absence of available economic data at adequate spatial resolution for use in GIS systems. Creation of geophysically scaled databases that include the major socioeconomic variables at the global and at national levels is an essential prerequisite for future analytical efforts. Similar fruitful interactions can be made with “spatial statistics” and “spatial econometrics,” which are critical for understanding the structure of Depression when their value for understanding business cycles became clear. Similarly, private efforts to develop environmental accounts by Nordhaus and Tobin [1972] and others (see Eisner [1985]) were gradually developed by governments (see the recent report on environmental accounting in Nordhaus and Kokkelenberg [1999]). 6 See Maguire, Goodchild, and Rhind [1991]. See Meyer and Turner [1994], pp. 412-413 for a discussion of different approaches to spatial scaling in environmental and land-use models. 7 5 regional and geographical processes. Such techniques are widely used outside of economics but are just beginning to creep into economics.8 III. Development of the Geophysically Scaled Economic Data Set (G-ECON) This section describes the methods that will be used to construct G-ECON. To date, a preliminary version of G-ECON has already been created. The purpose of the current research project is to develop, test, and validate the methods used to construct G-ECON (discussed in this section) and to use G-ECON to investigate a number of economy-geography relationships (discussed in the next section). A. Analytical Background In constructing a set of economic accounts, a primary question involves the measures of output or income to be measured. G-ECON will be designed to conform with standard principles of national accounting (see the SNA in [1993]). The central measure will be gross regional product (GRP). This will consist of the gross value added on a domestic product (not a national product) basis. GRP consists of the output produced by the factors of production located within the geophysical region. Under the principles of national economic accounting, GRP will aggregate up across all cells within a country to gross domestic product. As in all accounting systems, we are faced with inaccurate and incomplete data. The working assumption to be used in constructing G-ECON is that per capita GRP is equalized within relatively small political area. We thus calculate GRP by multiplying the population of a region times the estimated per capita GRP of that region. The following comments will elucidate the assumptions underlying the calculations. 1. One elemental component of the data set is the estimated population of a region. These data are calculated from population censuses and are generally relatively accurate (error rates of less than 3 percent in high-income countries). Downscaling these to a gridded scale involves errors of attribution to cells as well as seasonality. At present, we have no independent check of the cell attribution, but it may be possible to validate the population estimates For an example, see Fingleton [1999]. Spatial statistics are widely used in agriculture; see http://www.dina.dk/~ml/dina/itcoord/. 8 6 when alternative measures of gridded population become available. This area is not the major focus of this project, however. 2. Gross regional product consists of labor compensation and non-labor incomes (the latter consisting of rents, interest, profits, and depreciation). In most countries, labor’s share between 55 and 70 percent of gross output. The analytical basis for the assumption of equal per capita GRP across cells is that within regions people are likely to migrate in a manner that equalizes real income or “utilities.” Utilities will be proportional to per capita GRP when (1) labor’s shares is a constant fraction of GRP, (2) hours of work per capita are equal, (3) amenities, transfers, and non-wage attractiveness do not differ among regions, and (4) individuals migrate to equalize utilities in different regions. None of these assumptions holds perfectly, but empirical research indicates that they are likely to be reasonable close approximations to reality within relatively small jurisdictions (such as within states of the U.S. or within small countries like Belgium). 3. The major source of error in estimating GRP is likely to occur when non-labor items are a particularly high fraction of output. Labor’s share is particularly low in highly capital intensive industries such as electric utilities, transportation, and communications. The procedure here would be vulnerable to the assumptions if labor’s share were particularly low in geographically sensitive industries like agriculture. In the United States, the share of compensation in gross output of agriculture, forestry, and fishing in 1998 was 37 percent, as compared to 57 percent for gross domestic product. Note that the share is even lower (25 percent) in finance, insurance, and real estate. 4. Given the high non-labor share in agriculture, it may be necessary to consider adjustments for agriculture in regions that are heavily concentrated in that sector. A further elaboration of G-ECON would include industrial decomposition of output into the major sectors (agriculture, mining, manufacturing, etc.). This decomposition is likely to be beyond the scope of the present project but can be accomplished for the United States and some other countries with existing data sets. 5. Several conceptual issues arise in developing G-ECON, although these are common ones in constructing economic accounts. One interesting issue is the production of fisheries. Even though fishing activities take place over or in water, the output is attributed to land, usually to ports. A similar 7 issue arises for offshore oil and gas production. The numbers here are by and large too small to be of concern for most high-income countries, however. For the United States, the share of offshore oil and gas production is less than ½ percent of GDP, while fisheries is even smaller. These considerations may also need to be considered in developing accounts for Mideast oil producing regions. The issues raises by fisheries, minerals, and agriculture would be largely resolved if G-ECON were developed on a major industry basis. A further set of issues arise in countries with relatively weak statistical systems. Many low-income countries have no regional economic data, so it will be necessary to develop proxy data or to develop rudimentary regional data for rescaling.9 A more significant issue involves subsistence agriculture and similar activities in developing countries. These activities raise thorny conceptual issues because the “non-market” activities are conceptually excluded from the national accounts (because they are non-market). Many countries (including the U.S.) do in fact include some adjustments for subsistence agriculture in their national accounts because they are such close substitutes for market activity and because their omission would distort growth-rate estimates. Our G-ECON will follow standard procedures in these different areas. A final set of issues relates to country-specific questions. Among the issues needing resolution are disputed areas, the treatment of refugee camps, the treatment of military expenditures, estimation of nomadic activities, and, as mentioned above, the treatment of economic activity in lakes and oceans. B. Data Sources Most of the relevant data have been located. We describe the major data sets in this section. Grid Cell Data We rely on grid cell data prepared by Environment Canada and the United Nations Environment Program, as part of a project to develop a GIS for A preliminary project working with data from Morocco indicates that developing relatively fine-detail regional data for countries without official regional economic statistics is possible. 9 8 world population.10 A critical element in the work is “Rate-in-Grid” (or “RIG”), which is necessary for separating grid points between countries and between land and water. Some inspection has determined that these data are relatively inaccurate. We are consequently developing an alternative technique for estimating RIG. Population data One of the key ingredients of G-ECON is population distribution. The population data set is available on a 1 degree by 1 degree latitude/longitude grid system. The database uses the most recent data available (1990). It is likely that gridded population data will be available for multiple years, and this will in the future make G-ECON available on a time-series basis. The population data set was developed by Environment Canada and the United Nations Environment Program. It is based on aggregating from cities of population of 50,000 or more and is adjusted using a “rural population factor.” For some countries (U.S., Canada, China, and the former Soviet Union) national census estimates are used. Some testing has determined that the original data include some mistakes and omissions, which were fixed. In addition, we have made estimates of population for a number of cells which were missing (including “unpopulated” areas) to obtain a complete sample. Gross Domestic Product Data As discussed above, we propose to estimate gross regional product (GRP) for each cell. These use population and estimated gross domestic product (GDP) per capita for the nation or subnational region in which the cell is lodged. Data on 1990 GDP per capita were gathered at the national level calculated both in terms of market exchange rates and purchasing power parity (PPP). With a few exceptions, the data come from the World Development Indicators, 1998. The national estimates provide a first-order estimate of economic activity. There are, however, major differences in per capita income and output within countries. For example, within the United States, there is a variation of a The original data file can be downloaded from http://grid2.cr.usgs.gov/globalpop and description can be downloaded from http://grid2.cr.usgs.gov/globalpop/1-degree/description.html. 10 9 factor of four in real wages across counties. Even larger differences are found in Brazil and Russia. The major statistical issue involved in creating G-ECON will be to “downscale” national data to the gridded level. After surveying a number of approaches, it appears that the best approach is to use per capita output at the first or largest subnational level (which we call “states,” which is the designation in the United States and in many other countries). In most countries, it appears that state date are the only subnational level at which gross output (gross value added) data are regularly prepared. Given the difficulties of estimating regional output, it is dubious whether a lower level of disaggregation below states would produce reliable data, and indeed there are serious reservations about the quality of the state data. To date, we have collected state data for about half of the terrestrial grid cells, including major countries like Brazil, China, India, Russia, and United States. Because states use the national currency, there are no ambiguities about the currency measurement. There are potential issues about the cost of living, but these apply less to real output measures, which we are constructing, than to real income measures, which we are not. Gross regional product in each grid cell is calculated (both in market exchange rates and in PPP terms) by multiplying gridded population data by GRP per capita data. These measures are insensitive to the RIG measures. However, economic density measure (output per square kilometer) will be extremely sensitive to the RIG for many cells. Downscaling One of the major issues that is unresolved is the downscaling or “fitting” of the political boundaries to the gridded boundaries. Downscaling is a major issue in attempting to merge data sets or methodologies (see the discussion relative to integrated assessment models of climate change).11 We have tested alternative approaches (regression, triangular interpolation, and “majority rule”) and will need further tests before settling on a final procedure.12 11 For a discussion of some downscaling issues, see The Second International Conference on Climate and Water, Espoo, Finland, 17-20 August 1998 at http://www.water.hut.fi/wr/caw2/report.html . Mendelsohn, Nordhaus, and Shaw [1994] used a weighted regression technique for interpolating among climate stations. While not yet widely adopted, we believe this technique is probably superior to many of the existing alternatives. 12 10 Climate data The climate data were generated by Leemans and Cramer, (see Leemans and Cramer [1991]).13 We have used the updated 1994 Leeman and Cramer data set for our purposes. For generating observations, Leeman and Cramer used the following interpolation method. One weather station was chosen as the typical weather station in each cell of the grid, on the basis of data coverage, centrality of location, assessed quality of the data, and representativeness of the cell's altitude. As a result they obtained 6,280 records for temperature and 6,090 records for precipitation. The data values of all typical weather stations were adjusted for the altitude of the weather station, subtracting 0.6 degrees Celsius for each 100 meters of relative increase in altitude. The grid was then triangulated. Using the triangulation, Leeman and Cramer estimated the temperature and precipitation for cells with missing observations via a smoothing technique. This gave them the temperature and precipitation for a central data point in that cell. The authors express less confident in the interpolated values for precipitation than they are for temperature. Luminosity Data A final data set that will be included is nighttime luminosity. This is the only existing geophysically scaled data set that relates closely to economic activity. The nighttime satellite imagery data set data were provided by the Department of Geography and Environmental Science of the University of Denver.14 The measure included is a true radiance calibrated measure of light intensity data. The data were provided on a 1 km x 1 km scale and were aggregated by us to the 1 degree by 1 degree grid used in G-ECON. Grid Cell and Land Area Data This database uses climatic “normals” for the period 1931-1960. The available data coverage for Europe, U.S., Japan, India, and Africa is judged to be good. For other regions, climate data come from a sparser network. In addition, many coastline cells are left out of the data set, which covers only terrestrial cells having at least 60 percent land. 13 Dr. Paul Charles Sutton, Department of Geography & Environmental Science, University of Denver. 14 11 The grid cell area data (in square miles) were gathered from software of MapInfo Corporation and contain the area of all the latitude and longitude grid points C. Assessing the Reliability of the Data Aside from actually constructing G-ECON, one of the major tasks of the present research will be to assess the reliability of the data. Virtually none of the data are compiled in a routine and automatic manner; in each case, as we described above, there is considerable exercise of judgment. The following is a priority list of the major concerns with the underlying data sets: • The major task will be to collect and validate the economic and population data at the second administrative (“state”) level for the major countries where this information is available. This also involves fitting the economic data into a longitude-latitude grid scale. As noted above, this has been accomplished for five countries, and we are at present working with data for Kenya, Madagascar, Mexico, South Africa, and Tunisia. • To calculate economic densities will require accurate RIG data (percentage of the area of the grid cell occupied by land) and RIC data (percentage of the area of a country contained in each grid cell). Current data appear to have significant errors, and it may be necessary either to recalculate the RIC and RIG, or to find alternative sources for triangulation. • There are serious questions about the accuracy of the current luminosity data. Sparsely populated areas have zero luminosity even in the United States. We have not determined the extent to which filtering or nonlinear smoothing may be responsible for these errors. • The different data sets usually have different geolocational algorithm estimates. The documentation is often unclear what is the geographical center of pixels. • The population data sets rely upon a variety of extrapolation techniques and are therefore prone to error, particularly for rural areas. Population estimates may simply be wrong (Tobler et al. [1995]), but they 12 are also based on different methodology (Elvidge et al. [1997] and Dobson et al. [1999]). We will attempt to compare different approaches to determine the reliability of the underlying estimates. IV. Examination of the Relationship Between the Economy and Geography A. Background From the age of Aristotle until early in this century, most economists and scientists reflecting on the wealth of nations assumed that climate and geography were the prime determinants of the differences among nations. And in economies in which most of the population lived on farms, this presumption was probably correct. In 1820, 72 percent of U.S. employment was on farms (by 1999, the total was down to 2½ percent). The geocentric approach was epitomized by one of the most influential geographers of the early twentieth century, Yale social-Darwinist geographer Ellsworth Huntington, who argued that “The climate of many countries seems to be one of the great reasons why idleness, dishonesty, immorality, stupidity, and weakness of will prevail.”15 His studies ranged widely, but his central hypothesis, the climatic hypothesis of civilization, held that climate ranks “as one of the three great factors in determining the conditions of civilization.”16 His studies were based on international comparisons, on analyses of the rise and fall of civilizations, and on a detailed examination of data relating individual achievement to weather conditions. Although “geography” and “economic geography” were vibrant fields of research a century ago, they came under attack and were generally abolished in many major universities (including the PI’s) in the middle of the last century. The methods used were often crude, the ethnocentrism was morally offensive, while the subjective nature of the research limited its value. As a result, sometime around the middle of the twentieth century, geography virtually disappeared from many research universities. In economics, geography was eclipsed by other “modern” factors, such as investment, technological change, trade policies, and education. (See Todaro [1991] as an example; important exceptions are Kamarck [1976] and Lee [1957].) International trade theory and practice today also are moving away from geophysically based theories (an exception is Leamer [1984]). 15 Huntington [1915], p. 411. 16 Huntington [1915], p. 385. 13 In the last few years, however, geography and climate have reemerged as new concerns surfaced and as geography took on a more scientific approach. Particularly important was the growing interest in international environmental issues such as global warming.17 Whereas in an earlier era, geographers analyzed the influence of temperature, humidity, wind movements, storminess, variability, and sunlight on comfort and economic activity, today geographers and environmentalists worry about the role of droughts, soils, sea-level rise, species depletion, vector-borne diseases, and forest migration. Geography is obviously important at high latitudes. Indeed there are no important human habitations above 65º latitude in either hemisphere, and the 15 percent of the earth surface that is under permanent ice is essentially worthless in the market place. The role of geography in tropical latitudes (or climates) has long been thought crucial in leading to poor soils, unhealthy conditions, and low productivity, although this is not firmly established. Recent research within economics has returned to the earlier emphasis on geography. Research on global climate change has examined the impact of current climates and future climate change on economic activity (see the summary in IPCC [1996]). Recent work by Gallup, Sachs, and Mellinger [1999] analyzed the relationship between a number of economic variables and geography on the basis of limited geophysical data. Mellinger, Sachs, and Gallup [1999] undertook a similar exercise emphasizing water navigability. These promising studies were hampered, however, by the lack of a reliable data set on economic activity. Additionally, in most studies, climate is proxied by a latitudinal variable rather than by actual climate data for different regions. Current research on the economics of geography has suffered from three major shortcomings. First, it has concentrated on politically scaled variables, which are disparate in size and climatic distribution. For example, there are only three major countries with significant regions with arctic climates while there are more than twenty times that number with tropical or subtropical climates. Second, the number of useful country observations is relatively small, usually less than 100. Third, current studies have usually focused on proxies for important geophysical variables; for example, virtually all studies 17 See particularly National Academy of Sciences [1992]. 14 use latitude as a proxy for climate.18 While latitude is informative about temperature, it is in fact a highly imperfect proxy variable.19 20 In the research using G-ECON, we can overcome each of these three shortcomings exactly because most important geophysical variables are recorded on the same scale as our economic variables in G-ECON. We can therefore overcome each of the three shortcomings mentioned in the last paragraph. First, because our unit of observation is the grid cell (1º latitude by 1º longitude), all land areas of the globe are well-represented. Second, the number of observations is much larger than in typical economic studies, being approximately 20,000 observations. Third, because we can merge our G-ECON with standard geophysical data, we can use actual climate and other geophysical data rather than proxy data. We should note that the data are not without problems, and two in particular should be noted. First, the output data are constructed from national or subnational population and output data, and they will incorporate any errors in the underlying data. As an example, we have relatively low confidence in the output data for Russia and much of tropical Africa for the period covered. Second, our data will cover only a single period (roughly 1990) and therefore are unable at this stage to be employed for dynamic or growth analysis. We expect that if the effort to develop geophysically scaled economic variables catches hold, it will be relatively straightforward to develop time series for the major economic variables in G-ECON. B. Estimation Because we have not yet undertaken the research on estimating the relationship between geography and the economy, we at this stage will only sketch the basic outline of what is proposed. 18 See for example Hall and Jones [1996]. Most studies of economic geography examine at the impact of geography on per capita income. Because migration tends to equalize per capita income within regions, we tend to emphasize either economic density (output per unit area) or productivity (a measure of economic density that adjusts for demographics) as more useful measures of the impact of geography on economic activity. 19 For example, in the region between 35 degrees north and south, the R2 between mean temperature and latitude is 0.21. In the tropic region between 15 degrees north and south, the R2 between mean temperature and latitude is 0.004. 20 15 The basic idea is that the global economy is composed of a number of different locations ( j = 1, ... , J ). Each location has a certain site-specific productivity (A j ) which will be a function of its site-specific geophysical or environmental characteristics (G j ), the population or labor force in that site (L j ), the capital stock of that site (K j ), plus the important institutional and policy variables (P j ). These characteristics and inputs combine to produce the site's output (Q j ): (1) Q = F(G, P, K, L) where we have suppressed the superscripts. Assuming for concreteness that (1) takes the Cobb-Douglas form, and that the other variables enter multiplicatively, this yields: (2) Q = A(G, P) K a Lb In this formulation we standardize on land area, so variables are averages per unit land. Note that a + b < 1 to reflect diminishing returns with respect to land. We have taken a simplified multiplicative formulation for expository purposes, but this simplification will be relaxed in the actual empirical estimates. To make this approach operational, we need a few further assumptions. We have no observations on capital. We therefore rely on the observation that capital is mobile and assume that its net yield is equalized within countries. Second, we will generally assume that labor is mobile within countries, so its net wage is equalized within countries or regions. Solving these two conditions yields: (3) Q = k ( ) A(G, P) s Where k ( ) is a parameter that will depend upon countries or regional groupings in which labor and capital is mobile, and s is a complicated expression involving the parameters of the production function in (2). We can estimate (3) by assuming that the site-specific productivity is a function of observed geophysical characteristics G = (g1, g2, ...), which include climate, altitude, etc. The policy and institutional variables will be treated either explicitly (say for centrally planned v. market economies) or with the use of national or regional dummy variables. 16 One end point of the analysis will be to estimate the “intrinsic” site-specific productivity and its dependence upon geophysical, policy, and institutional characteristics. Among the important questions we will address are the following: One of the oldest questions in geography has involved the “optimal climate.” What is the relationship between productivity and climate? Is there an optimal climate from an economic point of view? What fraction of the differences in productivity within nations or across nations is due to climatic differences? Is climate more important in developing countries or in high-income countries? One of the major issues that has dogged economic development for decades has been the role of geography in economic activity. Do tropical regions suffer an economic penalty because of their high temperature? Is this offset in highly urbanized regions or in high-altitude tropical regions? Once sectoral accounts are developed, it will be possible to understand the relative importance of climate and geography in agriculture and different sectors. Geography is often interpreted as climate. But other variables are important. What is the role of coastal proximity, land-lockedness, “rough” terrain, and insularity in economic productivity? Recent studies have investigated the role of increasing returns, suggesting that proximity to markets may be a crucial factor. Undoubtedly, further questions will be investigated when the empirical analysis is undertaken. The ability to examine these relationship with a data set of approximately 20,000 regional observations, including a large number of cells within major countries, will provide an enormous increase in the resolution of our studies. To provide reviewers an idea of the kinds of data and associations that will be available with G-ECON, we show on the last page preliminary results relating average temperature to GDP density for the U.S. Additionally, we have made available 13 figures using preliminary data from the project. These show scatter plots of GDP density, luminosity, temperature, precipitation, altitude, and distance from coastline for the United States, India, and globally. 17 They are available at the web page http://www.econ.yale.edu/ ~nordhaus/homepage/homepage.htm under “Geography and Economic Activity.” 18 10000000000 1000000000 100000000 USA GDP density 10000000 1000000 100000 10000 1000 100 10 1 -20 -15 -10 -5 0 5 10 15 20 25 30 Average Temperature Figure 1. 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