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Geography, space, and science

Posted on December 11, 2009

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Despite a claim by Zhang (2004a) that he was the first to provide a rigorous model of the Schelling formulation (several presentations by Fossett [1998] predate his work), he does provide a mathematical interpretation of the agent-based simulation model. That interpretation shows that segregation, or as I prefer the neutral terminology of separation, is a stochastically stable state “that tends to emerge and persist in the long run regardless of the initial state” (Zhang 2004a). It is the finding in Zhang’s study that patterns of separation by race emerge, whatever the initial state, that confirms other studies that have investigated the mechanism of separation and its dynamic.

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The finding that separation can exist in the residential fabric even if most people prefer integrated neighborhoods is important because it explains the continuing patterns of separation even in a world that is increasingly tolerant and where society has made major attempts to eliminate discrimination in the housing market. Of course discrimination still occurs but we do not need to invoke discrimination to observe separate residential areas in our cities. ” Without any discriminatory behavior in the housing market a slight preference for like-color neighbors … can give rise to a high level of residential segregation and cause it to persist” (Zhang 2004b, p. 164). Asymmetrical preferences are an important element of understanding continuing separation.
While the work by Zhang has provided an initial mathematical explanation for the sorting patterns that we see, it is the simulation work of Fossett (2006) that provides the context and a richer link to an urban housing market with prices and actual mobility behavior and vacancies. (6) The SimSeg model provides substabtual evidence that his decade-long approach to the problem has taken us a major step forward in the process of understanding the way in which segregation comes about and provides a compelling spatial presentation of those processes.

Changing places and policy intervention
Place and mobility are increasingly the focus of policy concern. In particular, there is a concerted effort to understand the spatial concentration of poverty and by extension how we might redress the inner-city concentrations of poverty that are common in many central cities in the United States. The questions are natural extensions of the discussion in the previous section–questions about the separation of poverty populations and the role of neighborhoods in creating particular outcomes and whether mobility opportunities are a viable method for solving these problems.
Neighborhoods and communities have been reified as places of importance in a variety of socioeconomic outcomes. The question about neighborhood effects has generated a substantial and growing literature, which examines the additive marginal effects of neighborhoods on residential outcomes for inner-city poverty populations (Galster 2003). Additive, that is, in terms of explanatory power after controls for socioeconomic and demographic characteristics of the household. There is an increasingly divided approach whereby some suggest that where you live does matter–certainly an outcome that is consistent with much geographic literature on the role of place, but an equally strong position is that nearly all the outcomes are attributable to household composition.
Diez-Roux (2001) does a good job of identifying the problems of doing research that includes neighborhood measures. She notes the issues of neighborhood definition, the lack of distinctions between neighborhood and community, specifying the relevant neighborhood characteristics and the difficulty of distinguishing individual and neighborhood effects on any particular outcome. Significantly, for this paper she identifies geographic scale as a key issue in measuring environmental characteristics (Diez-Roux 2003). Not only is it reasonable to assume that different scales may be relevant for the study of different processes, or to put it differently some processes may operate at very local scales while others operate more broadly across larger environments. Clearly, blocks or groups of blocks are important for social interaction but service areas for health or even shopping may be relevant for other outcomes. People move to and through neighborhoods. Local and international flows change communities, especially their demographic composition. These changes in turn interact with school composition and issues of racial balance in schools. Interventions designed to produce particular outcomes may or may not succeed because of local urban dynamics. The research on mobility within the parameters of legal intervention provides a contested evaluation of the role of social science in predicting outcomes. Can we provide a solution to poverty by moving households from high-poverty to low-poverty areas? Will households who are enabled to move from innercity poverty neighborhoods to suburban low-poverty communities have better outcomes in employment, health, and education levels for the children of these families? At first thought the answer seemingly must be positive, of course a family moving from a high-poverty to a low-poverty area would be advantaged.
Within the context of the metropolitan change it becomes more difficult to be so sure about the outcomes of policy intervention. The moving to opportunity program of the Department of Housing and Urban Development (HUD) was designed as an experimental program to evaluate whether a special mobility program would increase the likelihood of innercity households moving to suburban and low-poverty neighborhoods (Clark 2005). However, well intentioned, such programs must be set within the content of changing metropolitan areas and the restless nature of American households. Cities change and people within cities make changes to bring their residential aspirations into adjustment with the available housing composition. Even when households are provided with incentives to locate in particular low-poverty neighborhoods, changes in their household and external opportunities can change their location choices overtime. Indeed, we find that many households that moved initially to low-poverty neighborhoods later relocate again and the outcome was to reduce the policy aim of having these households live in low-poverty neighborhoods. Why did this occur?
As in all such situations, the intervention is in a dynamic system, and despite the good intentions of the policy intervention, the combination of changing household composition, changing urban structures, and the pull of familiar neighborhoods can combine to undo the best policy plans. Policy is often formulated without a specific recognition of the dynamics of the urban structure, and the dynamics, unless modeled in the policy decision, may well undo the best plans. In addition, the plans are often formulated without a specific recognition of the spatial structure and its complexity. The combination of migration and a changing spatial structure is a context that makes intervention extremely difficult. Observations and the future of spatial science
Clearly, geographers are at the center of analytic questions about how society is organized and how it functions. In some sense it is ironic that this has occurred at a time that large sections of the discipline have moved away from analytic concerns to critical thinking and cultural studies. This essay suggests that the powerful contributions of spatial analysis are central to geography, and to the extent that we do not continue to engage in analytical statistical analysis, we will abandon these approaches to other disciplines anxious to bring space into their analytic traditions.
The emergence of a discourse, which focused on measurement and prediction, placed the discipline firmly within the discourse of science. Even though there may have been a proportional decline in the number of papers with “quantitative themes,” the research by Jackson et al. (2006) shows clearly that there continues to be a strong focus on geographical science. It is likely too that the cross-disciplinary embrace of CIS will continue to strengthen science in geography and geography outside the discipline.
Glscience will almost certainly play an important role in the evolution of spatial statistical analysis and is already important in incorporating spatial structure in models of spatial outcomes. Neighborhoods and communities are central to the organization of our cities and to our lives within them. We are often defined by where we live and our cities are divided by socioeconomic status and that division has a spatial pattern. It is that pattern which is summarized in neighborhoods, and among the questions now engaging investigators is whether the spatial unit matters over and above the composition of the households within the spatial unit. These are questions about neighborhood effects. What are the effects of living in particular neighborhoods after due controls for household composition, and how large are these neighborhood effects? These are questions that place scale and spatial structure at the heart of any statistical analysis and the identification of spatial outcomes in these models is intertwined with issues of statistical specification. It is here that the developing work in Glscience on spatial association is central ( Getis 1999; Anselin 2003).
The research on migration and sorting is an illustration of the powerful contributions that can be created within a rubric of geographical analysis. A continuing tradition of careful statistical modeling, recognizing the complexity of our social and physical world, will “grow” geography and our recognition in the social science community.

Notes

  1. The selective references here are only exemplars of the huge and creative body of statistical analysis that grew rapidly at Washington, but also at Iowa and Northwestern and then with the diffusion of the new graduates, at Chicago and Ohio State.
  2. The literature on residential mobility and migration is now substantial. This discussion is not designed to summarize that literature, rather the aim is to show the modeling process that has been a central part of creating the body of knowledge about migration and mobility and extensions to debates about migration in the policy arena. We must recognize too an increasing interest in the mirror image of mobility, the immobility of populations (Hanson 2005).
  3. The code for a simple formulation (useful for classroom teaching) and a more complicated formulation of SimSeg is available on the Web.
  4. Zhang’s model requires instantaneous swapping of agents, rather than the more realistic searching for vacancies.

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Correspondence: Prof. William A.V. Clark, Department of Geography, 1255 Bunche Hall, University of California, Los Angeles, CA 90095

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