Methodological Issues in GIS-Based Environmental Justice Research JEREMY L. MENNIS Department of Geography, The Pennsylvania State University, 302 Walker Building, University Park, PA 16802 Email: jmennis@gis.psu.edu Abstract. Research in environmental justice investigates whether certain unempowered segments of the population, typically minorities and/or the poor, bear a disproportionate burden of environmental risk. Geographic information systems (GIS) have been used to carry out ‘conventional’ statistical approaches to environmental justice research whereby the socioeconomic character of communities that host environmentally hazardous facilities are compared to nonhost communities. However, methodological issues associated with the conventional approach, such as scale of analysis, continue to make GIS-based statistical assessments of evidence of environmental injustice problematic. GIS has the potential to mitigate many of these methodological problems through mapping/visualization, improved modeling of environmental risk, multi-scale analysis, and raster surface-based representations of population. The case study presented in this paper, concerning environmental injustice in the Philadelphia, Pennsylvania region, demonstrates how raster GIS can facilitate the investigation of the relationship between the distribution of demographic character and the location of hazardous facilities across a variety of scales of analysis. This study finds that in the Philadelphia region there is a clear and predictable relationship between socioeconomic status and proximity to environmentally hazardous facilities that can be interpreted as evidence of environmental injustice. By using GIS to create improved representations of population character and environmental risk, environmental justice research can move beyond the simple statistical comparison of groups of areal units to the exploration of demographic patterns and their spatial relationship with the distribution of environmental risk. Introduction Research in environmental justice research investigates whether certain unempowered segments of the population, typically minorities and/or the poor, bear a disproportionate burden of environmental risk. The recent attention on environmental justice can be traced to the release of studies by the U.S. General Accounting Office (GAO, 1983) and the United Church of Christ’s Commission for Racial Justice (CRJ, 1987) which reported evidence of racially-based discrimination in the locational distribution of environmentally hazardous sites, such as waste treatment, storage, and disposal facilities. Subsequently, the U.S. Environmental Protection Agency (EPA) has recognized the need to mitigate racial and economic discrimination in the siting of environmentally hazardous facilities (EPA, 1992). Since these two ‘early’ studies, much statistically-based research has investigated the issue of environmental justice at local, regional, and national scales. Some of these studies have challenged the claims of the landmark CRJ (1987) study as inaccurate and misleading due to the choice of data and methodology, the Anderton et al. (1994) article being perhaps the most prominent. However, all spatial statistical analyses of environmental justice necessarily make some assumptions concerning the data and methodology used in the study. These data and methodology issues broadly concern two representational themes: 1) the definition and measurement of environmental risk and 2) the definition and spatial delineation of ‘community.’ Many studies, including those on both ‘sides’ of the environmental justice debate, have used geographic information systems (GIS) to manage and structure environmental justice analyses. The benefits of using GIS for environmental justice research are relatively straightforward: Environmental justice is an inherently spatial (and temporal) issue (i.e. what is the spatial relationship between the distribution of people and environmental risk) and GIS provides an efficient environment for the management, analysis, and display of spatial environmental justice data. However, GIS software and GIS data also adhere to particular models of the real world that impose representational and methodological constraints and assumptions on the way environmental justice is understood and therefore analyzed. Many of these methodological issues lie at the foundation of the dispute over the interpretation of statistical evidence of environmental injustice Unfortunately, the methodological choices made by environmental justice researchers often go unacknowledged in the interpretation of evidence of environmental injustice. The purpose of this paper is to describe the methodological issues associated with using GIS in environmental justice research so that these issues may be brought to the forefront of the environmental justice debate. While there are no methodological ‘solutions’ that would create a completely accurate and objective assessment of environmental justice, there is certainly value in incorporating the impacts of the methodological assumptions and constraints into the interpretation of study results. The remainder of this paper reviews GISbased environmental justice research, highlights primary methodological issues, and proposes a novel environmental justice GIS analysis method that is applied to the Philadelphia, Pennsylvania region as a case study. GIS and the ‘conventional’ approach to environmental justice research In nearly all statistically oriented environmental justice studies, justice is defined according to whether the environmentally hazardous facilities in a particular region are spatially distributed in a socioeconomically equitable versus inequitable manner. This environmental equity approach to measuring environmental justice generally entails identifying those communities that host environmentally hazardous facilities (however ‘community’ may be defined), tallying the racial and economic character of those host communities, and comparing that socioeconomic character to those communities in the region that do not host environmentally hazardous facilities (or to the character of the region at large). Evidence of injustice is then defined as when communities that host environmentally hazardous facilities have significantly higher rates of minority and/or poor persons than non-host communities. This type of analysis is easily implemented in a GIS using U.S. Bureau of the Census demographic and boundary data, hazardous facility data derived from publicly available U.S. Environmental Protection Agency (EPA) databases, and basic statistical functions found in most commercial GIS packages. For example, Glickman et al. (1995) use GIS to examine evidence of environmental injustice in Allegheny county, Pennsylvania, which includes the city of Pittsburgh. These authors investigate the spatial relationship between statistically derived socioeconomic status and proximity to Toxic Release Inventory (TRI) facilities listed in the EPA TRI database as the indicator of environmental injustice. The TRI database is composed of manufacturers that are required by law to report to the EPA certain toxic chemicals that they release to the environment. While the TRI database is certainly not a comprehensive source of information for a region’s environmental risk, as Glickman et al. (1995) note, it is easily obtainable and is often used in environmental justice investigations. Glickman et al. (1995) define community using five different spatial delineations: census block group, census tract, municipality, and half-mile and one-mile distance ‘buffers’ around each TRI facility. Averages of census socioeconomic variables for each of these community zone schemes were calculated, including percent minority, percent living below the poverty line, percent unemployed, percent over the age of 65, percent under the age of 5, and other census variables that indicate socioeconomic status or at risk populations. Glickman et al. (1995) report mixed, sometimes contrary results concerning evidence of injustice. For instance, when communities are defined by census block groups or tracts, the percentage of minorities in TRI host communities is not significantly different than that in nonhost communities. However, when municipalities, a generally larger areal unit than block groups or census tracts, form the basis for defining community, TRI-host communities have significantly higher proportions of minorities than non-TRI-host communities. These results mirror those found in other studies and indicate one of the primary methodological issues in environmental justice research, the spatial delineation of community and scale of analysis. The CRJ (1987) study was criticized by Anderton et al. (1994) for using zip codes as the areal unit of analysis because these authors felt that zip codes are too large to capture the spatial relationship between socioeconomic status and proximity to hazardous facilities. Instead, Anderton et al. (1994) use census tracts and find that minorities and the poor are not more likely than non-minorities and the non-poor to live in a census tract that hosts a hazardous facility. They therefore conclude that their study finds no evidence of environmental injustice. Significantly, however, these authors did find a positive relationship between disadvantaged socioeconomic status and proximity to hazardous facilities within a 2.5 mile radius of hazardous facilities. Goldman and Fitton (1994), in a follow-up to the original CRJ (1987) study, note that although the CRJ (1987) and Anderton et al. (1994) studies reach opposite conclusions about the evidence of environmental injustice, their statistical results suggest a similar, and somewhat startling, demographic pattern: ‘bands’ of socioeconomically disadvantaged persons surrounding a ‘core’ of non-socioeconomically disadvantaged persons concentrated around environmentally hazardous facilities. It is open to debate whether this pattern represents a typical demographic scenario, or even if it does, whether it is, in fact, evidence of environmental injustice. However, it is worth noting that the political motivation to ‘objectively’ demonstrate the existence or non-existence of environmental equity often subsumes and sabotages the analysis itself by biasing the interpretation of analytical results (Pulido, 1996) (Anderton et al. (1994) were funded by Waste Management Incorporated, a waste industry organization). GIS innovations in environmental justice research Other GIS-based environmental justice studies attempt to expand the conventional approach to the statistical analysis of environmental justice by using the analytical and display capabilities of GIS. Burke (1993) investigates environmental equity in Los Angeles by using various mapping and visualization schemes to expose the subtle relationships between race, class, population density, and the location of TRI facilities. This author finds evidence that “at a given income level, Hispanics and African-Americans are more likely to be living in close proximity to TRI facilities than whites or Asians” (Burke, 1993: 50). Typically, environmental justice studies do not attempt to explicitly define the spatial distribution of environmental risk as it is an extremely complex task which differs according to type of facility, type of toxic release, and a host of environmental variables that control the dispersion of the toxic material through the environment. Instead, most studies simply consider the people in the ‘community’ (whether defined by census-based areal unit or distance buffer) that hosts the hazardous facility to be at risk. Chakraborty and Armstrong (1997) use GIS to improve on the definition of at risk population by delineating the areas surrounding each toxic facility that are most likely affected by toxic releases based on a numerical model of toxic dispersion. This model generates a ‘plume’ footprint that defines an at risk area within which socioeconomic variables may be tallied. Chakraborty and Armstrong (1997) also explore the impact of using different representations of population data in environmental justice analyses. Usually, population data are represented by assignment to polygonal areal units. For distance buffer approaches to defining community or at risk population, polygonal population data in certain GIS packages are considered within the distance buffer if any portion of the areal unit overlaps with the buffer. Chakraborty and Armstrong (1997) refer to this method as the polygon containment method. This method may lead to misleading calculation of within- buffer population character since the people living within the overlapping areal unit may in actuality be concentrated in a particular portion of the areal unit that is not actually within the distance buffer. Zimmerman (1994) notes that GIS methods can be developed to partition the population data assigned to an areal unit that is only partially within a distance buffer into inside-the-buffer and outside-the-buffer portions based on the percentage of the of the areal unit that lies within and without the distance buffer, respectively. Chakraborty and Armstrong (1997) refer to this method as the buffer containment method. However, this approach assumes an homogeneous distribution of population throughout the areal unit. An alternative is to represent population data as assigned to an areal unit centroid point, called the centroid containment method (Chakraborty and Armstrong, 1997). If the centroid falls within the distance buffer, the population data for the entire areal unit represented by that centroid is considered within the buffer. Again, however, error may occur if the centroid falls within the buffer but the actual population is concentrated in a portion of the areal unit outside the buffer. I performed a brief comparative test of each of these population representation methods in an analysis of the relationship between percent minority and distance to TRI facility in Delaware county, Pennsylvania.. TRI sites in Delaware county are concentrated in industrial and urban waterfront areas, many of which have high concentrations of minority populations. Significantly, I found that the polygon containment and centroid containment methods tended to under-represent the percentage of minorities living in very close proximity to TRI sites as compared to the buffer containment method. These two former methods were less sensitive to variation in demographic character at close proximities to TRI facilities because they tended to incorporate more distantly located, non-minority populations than the buffer containment method using the same distance buffer. In other words, percent minority calculations at close proximities were diluted by the inclusion of a larger area with lower concentration of minority population. Chakraborty and Armstrong (1997) reported similar findings in their comparison of population representation methods. Another very prominent issue in environmental justice research, related to the issue of defining community, is that of scale of analysis. Scale of analysis concerns both the scope of analysis, the region that the study covers, and the resolution of analysis, which generally refers to the choice of areal unit at which demographic data is represented and tallied. For instance, the CRJ (1987) study was done at the zip code resolution. However, this definition of resolution is problematic because zip codes (and nearly all census-, or other organization-, based zonation schemes) vary widely in their areal extent; they are typically much smaller in urban areas than in rural areas. This issue of choice of resolution in spatial analysis is associated with what is called the modifiable areal unit problem (MAUP) in the geographic literature (Openshaw, 1983). The MAUP refers to the fact that different aggregation and/or zonation schemes for spatial data may result in vastly different spatial analysis results. The detrimental impact of the MAUP on the analysis of census data is well established (Fotheringham and Wong, 1991; Openshaw, 1984). The difference in results between the CRJ (1987) and Anderton et al. (1994) studies may be attributed in part to the MAUP. A number of authors (Anderton et al., 1994; Glickman et al., 1995) argue that there exists an ‘appropriate’ areal unit of analysis, or that evidence of environmental equity must not vary with the scale of analysis in order to be regarded as valid. However, simply assuming that there is such a thing as an ‘appropriate’ unit of analysis for environmental justice research immediately violates the principles of the MAUP. Sui (1999) notes that an environmental justice study done at any one scale or based on one particular areal unit cannot, by definition, produce a reliable indication of environmental justice or injustice; there is no such thing as the single ‘best’ or most ‘appropriate’ scale of analysis in environmental justice research. A number of authors have suggested that GIS be used to support multi-scale environmental justice analysis (McMaster et al., 1997; Sui, 1999). I argue that the purpose of multiscale analysis is not to find the ‘best’ scale of analysis but to investigate how demographic character and its spatial relationship with environmentally hazardous facilities varies across scales. This information may indicate the subtle and complex demographic patterns that lie at the root of the environmental justice debate. As Been (1995) notes, environmental justice is infinitely more complex than disproportionate numbers of hazardous facilities being sited in census tracts (or block groups, municipalities, etc.) with a high percentage of minorities. Rather, environmental injustice should be viewed as a complex intertwining of various socioeconomic characteristics distributed in certain spatial patterns. It should be the goal of environmental justice studies to ‘uncover’ these often ‘hidden’ patterns that are embedded in the social and environmental data that is available. A case study: environmental injustice in the Philadelphia, Pennsylvania region Nearly all GIS approaches to environmental justice research have been vector- (as opposed to raster-) based because most commercial GIS are vector-based (although there are a growing number of GIS packages offering raster data handling). In addition, most population and hazardous facility data are also vector-based. However, raster modeling of population offers many advantages. Principally, the raster-based approach to representing population allows for data aggregation to nearly any areal unit, facilitates the exploration of how demographic character varies across scales, and provides the means to create more informative visualizations of the distribution of demographic character (Bracken, 1993; Martin and Bracken, 1991). Here, I describe a combined vector-raster analysis of environmental justice in southeast Pennsylvania which encompasses the city of Philadelphia (which is identical to Philadelphia county) and its four closest counties in Pennsylvania: Bucks, Delaware, Chester, and Montgomery. The goal of this study is to understand the distribution of socioeconomic character and its spatial relationship to environmentally hazardous facilities. I hypothesize that socioeconomic character has a strong relationship with proximity to hazardous facilities; in other words, the socioeconomic character of a location can be predicted as a function of distance to a hazardous facility. I test this hypothesis by modeling population as a raster surface. This allows for demographic variables that indicate population character to be tallied within a series of distance buffers generated from the hazardous facility locations. Regression is then used to test the strength of the relationship between socioeconomic character and distance to hazardous facility. Three demographic variables that are often used in environmental justice analyses are used to indicate socioeconomic status in this study: number of minorities, number of people living below the poverty line, and number of people over the age of 25 with a bachelors or graduate degree. These population data were acquired from the U.S. Bureau of the Census at the block group level. Data on facilities that store or release toxic materials in the Philadelphia region were acquired from EPA databases including sites listed in the TRI database as well as treatment, storage, and disposal (TSD) facility sites listed in the Biennial Reporting System (BRS) database. Procedures for improving the locational accuracy of these hazardous facility sites and eliminating redundant database listings were followed according to Scott et al. (1997). A variety of procedures for generating population surfaces from areal unit demographic data have been proposed including areal weighting (Flowerdew et al., 1991), interpolation from areal unit centroids (Bracken and Martin, 1989), and the use of remote sensing imagery and dasymetric mapping (Langford and Unwin, 1994). Dasymetric mapping is a technique that uses ancillary data to redistribute mapped thematic data in a more accurate and logical way. It is used here to improve upon the methods of population data representation that are typically used in environmental justice research. The dasymetric mapping/raster surface generation method described here is a variation on the method described by Langford and Unwin (1994) and uses urban density classification data derived from satellite remote sensing to redistribute population within the original block group data boundaries. This procedure was carried out using ArcView GIS by Environmental Systems Research Institute (ESRI), Inc. Urban density data for Pennsylvania were acquired from the Environmental Resources Research Institute (ERRI) at the Pennsylvania State University. These data were photointerpreted from Landsat Thematic Mapper (TM) imagery overlaid with a road network to produce a polygon coverage that partitions the state into areas of high density urban, low density urban, and non-urban. Note that ‘density’ in this case refers to the degree of urbanization (i.e. development), not population density. While degree of urbanization is by no means a perfect proxy for population distribution (Forster, 1985), its utility in modeling population has been demonstrated in a variety of contexts (Langford et al., 1991; Mesev, 1999). The urban density classification data were converted from vector to raster format with a grid cell size of 100 meters. This resolution was chosen because it meets the analytical requirements and yet is not so fine that it interferes unduly with processing time. Each grid cell was assigned a population value according to three factors: the population of its host block group, the population density of its urban density classification (derived from empirical measurement), and the percentage of the area of the host block group occupied by its urban density classification. This procedure preserves what Tobler (1979) referred to as the pycnophylactic property: summing the population for all the grid cells within any block group produces the same population figure as that originally assigned to that block group. The raster surface generation calculations were carried out primarily in the ArcView GIS Tables module and can be described mathematically as: PGCu.c.b = (PCTu.c.b * PBG b) / GCu.b Where: PGCu.c.b = Population assigned to one grid cell with urban density classification u, in county c, and in block group b PCTu.c.b = Percent of population assigned to urban density classification u, in county c, and in block group b GCu.b = Number of grid cells (area in 10,000 sq. meter units) of urban density classification u in block group b PBG b = Population of block group b Each demographic variable was distributed homogeneously according to the distribution of the total population for each block group. Surfaces of percent minority, percent living below the poverty line, and percent over the age of 25 with a bachelors or graduate degree were created by dividing the ‘count’ grids for each of these variables by the grid of total population. For a more thorough description of this areal interpolation technique see Mennis (forthcoming). Distance buffers around each hazardous facility were created that described the area within 500 meters of a hazardous facility, within 1000 meters, and so on up to 10,000 meters, which encompasses 99.9% of the total population. Percent minority, percent living below the poverty line, and percent over the age of 25 with a bachelors or graduate degree were then tallied within each of these distance buffers. Cumulative tallies determine these variables within 500 meters of a hazardous facility, within 100 meters, within 1500 meters, etc. while zone tallies determine these variables within 500 to 1000 meters of a hazardous facility, within 1000 to 1500 meters, and so on. The relationship between presence of minorities and distance to hazardous facilities is presented in figure 1. As distance to hazardous facilities increases, percent minority decreases, percent living below the poverty line decreases (not shown), and percent over age 25 with a bachelors or graduate degree increases (not shown). The break in slope at approximately 5000 meters, evident in the graphs of all the variables, is related to the fact that 92.0% of the total population and 98.1% of all minorities live within 5000 meters of a hazardous facility. Regression tests that predicted percent minority, percent living below the poverty line, and percent over the age of 25 with a bachelors or graduate degree based on cumulative distance to hazardous site up to 5000 meters yielded R2 values of 0.886, 0.907, and 0.926, respectively. R2 values for these same Percent Minority Percent Minority by Cum ulative Distance to Toxic Site variables, but predicted by zone distance to 0.33 hazardous site up to 5000 meters, yielded 0.31 values of 0.688, 0.886, and 0.979, 0.29 0.27 0.25 0 2 4 6 8 10 respectively. All results were significant at Cum ulative Distance to Toxic Site (km ) the 0.001 level. Multiple stepwise regression Percent Minority Percent Minority by Distance to Toxic Site Zone with cumulative distance to hazardous facility 0.30 up to 5000 meters as the dependent variable 0.20 and the three demographic variables as 0.10 0.00 0 2 4 6 8 10 independent variables excluded percent Zone Distance to Toxic Site (km ) minority and percent living below the poverty Figure 1. The relationship between percent minority and cumulative distance to hazardous site (top) and zone distance to hazardous site. line and included percent over the age of 25 with a bachelors or graduate degree to yield an R2 of 0.926 (significant at the 0.001 level). A similar test that predicted zone distance to hazardous site up to 5000 meters excluded percent living below the poverty line and included percent minority and percent over the age of 25 with a bachelors or graduate degree to yield an R2 of 0.987 (significant at the 0.001 level). Clearly, the poor, minorities, and the lesser educated tend to live in closer proximity to hazardous facilities than the non-poor, nonminorities, and the educated. These results conjure an image in which each hazardous facility is surrounded by poor, uneducated minorities and that gradually this pattern gives way to wealthier, educated non-minorities as distance to the hazardous facility increases. However, maps that depict the distribution of these variables overlaid with the locations of hazardous facilities demonstrate that this is not at all the case (e.g. figure 2 which shows areas with percent minority greater than the regional mean of 26%). There are, rather, various ‘clusters’ of hazardous facilities that appear to correspond to a variety of interrelated historic, cultural, and infrastructure factors. For instance, many hazardous facilities stretch along the Delaware and Schuylkill Rivers while others are clustered around population centers. This apparent, but in fact false, discrepancy between statistical and visual summation can be attributed to the difference between the measurement of percent and density of demographic character. For example, while there are areas outside Philadelphia with high percent minority, nearly all minorities in the Philadelphia region are Figure 2. The location of hazardous facilities relative to percent minority. clustered within certain neighborhoods of Philadelphia (figure 3). While non-minorities are also clustered around Philadelphia, they are much less concentrated in specific areas. The same is true with percent and density of people living below the poverty line. Concerning education, it appears that while higher education attainment is concentrated in suburban areas, hazardous facilities are concentrated primarily in urban areas and secondarily in rural areas. So while hazardous facilities are not necessarily concentrated in poor, uneducated, and minority portions of the greater Philadelphia region, these portions of the population are concentrated in one particular area, the city of Philadelphia. Because the city of Philadelphia is home to one of many clusters of hazardous Figure 3. Density of minorities and nonminorities in the Philadelphia region. facilities, nearly all those of unempowered socioeconomic status are in relatively close proximity to hazardous facilities compared to other persons of the Philadelphia region. However, there are many non-poor, non-minorities, and educated persons who are also in relatively close proximity to hazardous facilities. Further statistical analysis and mapping/visualization may reveal other demographic/hazardous facility patterns. For example, spatial autocorrelation measures may indicate the degree of socioeconomic regionalization at a variety of scales. Cluster analysis and point pattern analysis of the hazardous facility data may show a statistical relationship between demographic character and spatial clusters of facilities. Choropleth and bivariate mapping schemes, as well as cartograms, can be used to further visually investigate the demographic patterns embedded in the data. Conclusion This paper is intended as both a caution and an encouragement for the use of GIS in environmental justice research. On the caution side, the data representations that are embedded within GIS present potential pitfalls to researchers who do not explicitly acknowledge how GIS data and methods of analysis can control analytical results. While the issue of making explicit an investigation’s analytical assumptions exists for nearly any analysis, whether using GIS or not, the ease of use of many GIS often serves to make this issue transparent to the casual user. On the encouragement side, however, GIS provides an environment for creating new and innovative ways of investigating environmental justice. The use of raster representations of population and environmental risk and the use of advanced spatial statistical and visualization techniques hold particular promise in moving environmental justice research forward towards a more exploratory, pattern recognition approach. References Anderton, D.L., Anderson, A.B., Oakes, J.M. and Fraser, M.R., 1994. Environmental equity: the demographics of dumping. Demography, 31(2): 229-248. Been, V., 1995. Analyzing evidence of environmental justice. Journal of Land Use and Environmental Law, 11(1): 1-35. Bracken, I., 1993. An extensive surface model database for population-related information: concept and application. Environment and Planning B: Planning and Design, 20: 1327. Bracken, I. and Martin, D., 1989. The generation of spatial population distributions from census centroid data. Environment and Planning A, 21: 537-543. Burke, L.M., 1993. Race and environmental equity: a geographic analysis in Los Angeles. Geo Info Systems, 3(9): 44-50. Chakraborty, J. and Armstrong, M.P., 1997. Exploring the use of buffer analysis for the identification of impacted areas in environmental equity assessment. Cartography and Geographic Information Systems, 24(3): 145-157. CRJ, 1987. Toxic wastes and race in the United States: a national report on the racial and socioeconomic characteristics of communities with hazardous waste sites, United Church of Christ's Commission for Racial Justice, New York. EPA, 1992. Environmental equity: reducing risk for all communities, U.S. Environmental Protection Agency, Washington, DC. Flowerdew, R., Green, M. and Kehris, E., 1991. Using areal interpolation methods in geographic information systems. Papers in Regional Science: The Journal of the RSAI, 70(3): 303-315. Forster, B.C., 1985. An examination of some problems and solutions in monitoring urban areas from satellite platforms. International Journal of Remote Sensing, 6(1): 139151. Fotheringham, A.S. and Wong, D.W.S., 1991. The modifiable areal unit problem in multivariate statistical analysis. Environment and Planning A, 23: 1025-1044. GAO, 1983. Siting of hazardous waste landfills and their correlation with racial and economic status of surrounding communities, U.S. General Accounting Office, Washington, CD. Glickman, T.S., Golding, D. and Hersh, R., 1995. GIS-based environmental equity analysis: a case study of TRI facilities in the Pittsburgh area. In: G.E.G. Beroggi and W.A. Wallace (Editors), Computer Supported Risk Management. Kluwer Academic Publishers, Netherlands, pp. 95-114. Goldman, B.A. and Fitton, L., 1994. Toxic wastes and race revisited, Center for Policy Alternatives, Washington D.C. Langford, M., Maguire, D.J. and Unwin, D.J., 1991. The areal interpolation problem: estimating population using remote sensing in a GIS framework. In: I. Masser and M. Blakemore (Editors), Handling Geographical Information: Methodology and Potential Applications. Longman, London, pp. 55-77. Langford, M. and Unwin, D.J., 1994. Generating and mapping population density surfaces within a geographical information system. The Cartographic Journal, 31: 21-26. Martin, D. and Bracken, I., 1991. Techniques for modelling population-related raster databases. Environment and Planning A, 23: 1069-1075. McMaster, r.B., Leitner, H. and Sheppard, E., 1997. GIS-based environmental equity and risk assessment: methodological problems and prospects. Cartography and Geographic Information Systems, 24(3): 172-189. Mennis, J.L., forthcoming. Using GIS, spatial statistics, and visualization to investigate environmental justice, Proceedings of the Joint Statistical Meeting of the American Statistical Association, Baltimore, MD, August 8-12, 1999. Mesev, V., 1999. From measurement to analysis: a GIS/RS approach to monitoring changes in urban density. In: M. Craglia and H. Onsrud (Editors), Geographic Information Research: Trans-Atlantic Perspectives. Taylor and Francis, London, pp. 307321. Openshaw, S., 1983. The Modifiable Areal Unit Problem. Concepts and Techniques in Modern Geography, 38. Geo Books, Norwich, UK, 40 pp. Openshaw, S., 1984. Ecological fallacies and the analysis of areal census data. Environment and Planning A, 16: 17-31. Pulido, L., 1996. A critical review of the methodology of environmental racism research. Antipode, 28(2): 142-159. Scott, M., Cutter, S.L., Menzel, C., Ji, M. and Wagner, D., 1997. Spatial accuracy of the EPA's environmental hazards databases and their use in environmental equity analyses. Applied Geographic Studies, 1(1): 45-61. Sui, D., 1999. GIS, environmental equity analysis, and the modifiable areal unit problem (MAUP). In: M. Craglia and H. Onsrud (Editors), Geographic Information Research: Trans-Atlantic Perspectives. Taylor and Francis, London, pp. 41-54. Tobler, W.R., 1979. Smooth pycnophylactic interpolation for geographic regions. Journal of the American Statistical Association, 74: 519-530. Zimmerman, R., 1994. Issues of classification in environmental equity: how we manage is how we measure. Fordham Urban Law Journal, 21(3): 633-670.