6.147.19 POPULATION GEOGRAPHY Suzanne Davies Withers Department of Geography, University of Washington, USA Keywords: accessibility, clusters, demographic efficiency, distance decay, geography, geographic distribution, geographic information systems, geographically weighted regression, geostatistics, life course, LISA statistics, local statistics, location, location quotients, mapping, migration, migration expectancy, mobility, population potential, scale, spatial autocorrelation, spatial demography, spatial statistics, stability Contents 1. Introduction 2. Population Geography and Contemporary Spatial Demography 2.1 Geographic concepts and spatial thinking 2.2 The making of population geography 2.3 The development of spatial demography 3. Methods of Population Geography 3.1The spatial basics – geographic distribution of population 3.1.1 Descriptive spatial statistics 3.1.2 Index of concentration – The Hoover Index 3.1.3 The Lorenz curve 3.1.4 Population potential – the accessibility index 3.1.5 Location quotients 3.1.6 Segregation measures 3.2 Measures of Migration - population on the move 3.2.1 Migration rates 3.2.2 Demographic efficiency of migration 3.2.3 Migration characteristics and expectancies 3.2.4 Spatial shift-share analysis 3.2.5 Gravity models and economic gravity models 3.3 Methods of spatial analysis 3.3.1 Measures of spatial autocorrelation: Global to Local Moran’s I 3.3.2 Global to Local: Getis-Ord G to Getis Gi 3.3.3 Agent-Based Computational Demography 3.3.4 Geographically weighted regression 4. Themes of Population Geography 4.1 Whither fertility and mortality 4.2 Migration events 4.3 Life course perspective 4.4 Intergenerational studies 4.5 Gendered family migration 4.6 Assimilation processes 4.7 Neighborhood effects and residential mobility 5. Conclusion and Future Challenges Bibliography Summary 1 This chapter provides an overview of the field of population geography. Population geography is a subfield of the discipline of geography and a subfield of the discipline of demography. Population geography addresses the spatial distribution, characteristics, and spatial variation of the population. The importance of a spatial perspective for demographic research has received considerable attention over the past few decades. Population geography addresses demographic issues and population processes in an explicitly spatial manner, with a focus on the connection between people and places. Spatial demography refers to the formal methods used to make these links. Geographic concepts and spatial thinking are described, with particular attention given to the concept of scale. The chapter reviews the intellectual heritage of population geography and explains the contemporary correspondence between population geography and spatial demography. Conceptions of space and place in population geography are quite sophisticated, and recent advancements in spatial analysis have been enabled by geographic information systems, software development, and the availability of spatially explicit data (geocoded) sources. A host of methods of population geography are detailed, giving particular attention to the recent development of local, as opposed to global, measures of spatial analysis. Methods are reviewed for the study of geographic distribution, population movement, and spatial analysis. Traditionally, population geographers addressed the three components of population change – fertility, mortality, and migration, only. However, contemporary population geography is more thematic and theoretically sophisticated. Various recent contributions to population geography are reviewed and serve as exemplars of the themes of study. Life course studies, intergenerational proximity and mobility, and gendered migration are discussed. By embracing theoretical and future challenges, population geography is poised to make important contributions to our understanding of people and places. 1. Introduction September, 2004 marked the 150th anniversary of John Snow and the infamous water pump handle. On August 31, 1854, there was a recurrent epidemic of cholera in London, England. Suspecting that cholera was a waterborne contagious disease, Snow mapped the distribution of cholera deaths surrounding the Broad Street pump which he suspected as the source of the disease. Snow (1849) reviewed death records of area residents who died from cholera and interviewed household members. He determined that most of the people having died from cholera lived near and had drunk water from the pump. Snow presented his findings to community leaders and the pump handle was removed on September 8, 1854, preventing additional cholera deaths. Often Snow is heralded as a legendary figure in epidemiology because he provided one of the earliest examples of using epidemiologic methods to study factors affecting the health and illness of populations. His study advanced preventative action in the interest of public health. Snow is also heralded as a legendary figure in population geography for he provides one of the earliest examples of the power of the map to reveal spatial relationships and demographic processes. Other early scientists used similar methods of mapping spatial distributions to examine demographic phenomena. Mayhew (1861) mapped the incidence of crime in London along with urbanization, poverty and disease. In the late 1880s, Charles Booth (1902) was one of the initial scientists to map social and spatial distance based on his personal observations of neighborhood differences in London. At the same time, Florence Kelley conducted a similar study by mapping poverty in the slums of Chicago. From her field research Kelley learned that frequently several families were sharing the same housing unit. Kelley was amongst the first to use cartograms to represent family density in housing (CSISS, 2008). As these studies indicate, maps have enormous analytical potential. Traditionally, maps have served a valuable role in understanding demographic 2 characteristics and events. Maps represent the geographic epistemology – thinking spatially. These scientists were pioneers of population geography and spatial demography. Population geography addresses the spatial distribution, characteristics, and variation of the population. Often, the terms population geography and spatial demography are used interchangeably. More specifically, however, population geography is a sub-disciplinary field of geographic research that addresses demographic issues and population processes in an explicitly spatial manner, with a focus on the connection between people and places. Spatial demography, while similar to population geography, is the term usually used to refer to the formal empirical methods used to make these connections between people and places. The importance of a spatial perspective for demographic research has received considerable attention over the past few decades. Geographers were amongst the first, but not the only population scientists, to embrace the importance of spatial thinking. Today, population geography is a subfield of the discipline of Geography. It is also a subfield of Demography. This chapter provides an overview of population geography. Section two describes important geographic concepts and spatial thinking, particularly the concept of scale. It then reviews the intellectual heritage of population geography. Population geography is comprised of both a field of study and methods of inquiry. The chapter then addresses the contemporary correspondence between population geography and spatial demography. The significant role of Geographic Information Systems is discussed, and special attention is given to demographic processes and their spatial context. Section three describes the methods of population geography. Population geographers embrace sophisticated conception of space and place. Particular attention is given to the recent development of local, as opposed to global, measures of spatial association. Substantive areas of research in population geography are reviewed in Section four. Traditionally, population geographers have addressed the three components of population change – fertility, mortality, and migration. Contemporary population geography has become more thematic and theoretically sophisticated. This section reviews exemplars of recent themes in population geography. Section five concludes with an assessment of theoretical challenges and future directions where population geography is poised to make important contributions. Some issues also related to the geographic/spatial aspects of population are addressed in other chapters in this volume. Small area demography is addressed in Chapter 11 on applied demography, multi-regional population projection is addressed in chapter 16 on multistate demography, and population projection by countries and geographical regions of the world is addressed in chapter 22. 2. Population Geography and Contemporary Spatial Demography There are three primary themes within a geographic perspective: spatial variation, humanenvironment interaction, and place-based populations. Geographers are interested in spatial variation, aiming to understand how and why things differ from place to place across the landscape. Geographers are interested in understanding how spatial patterns evolve over time. Central to the study of Geography is the interaction between humans and the environment, both the impact of the physical environment on society and the ways in which people adapt and change their natural environment over time. The third theme considers the well-being of place-based populations and the characteristics of places and regions. Population geography brings all three of these themes to the comprehensive study of people and places. 2.1 Geographic concepts and spatial thinking Location is the most basic geographic concept– where is a place? Yet, even this is a difficult question to answer in the absence of other aspects of spatial thinking. Two of the most fundamental geographic concepts are site and situation. Site refers to the characteristic features of a place, 3 whereas situation refers to the way in which a place is connected to other places either by natural processes or by human processes, such as transportation or communication. A geographer’s fundamental assessment of the site and situation of a place is a much more sophisticated conception than one which depicts a place as merely a bounded area. For population geographers place is a complex term that invokes numerous dimensions of spatial thinking, including such concepts as analog, association, aura, accessibility, comparison, condition, connection, diffusion, distance decay, distribution, exceptions, gradient, hierarchy, influence, interaction, mobility, pattern, proximity, region, relationships and of course, scale – from the global to the local (Gershmel, 2008). Tobler (1970) states that the first law of geography is that everything is related to everything else, but near things are more related than distant things. Typically population geographers ask questions that connect demographic phenomenon over time and space. People and places are intricately interwoven, both spatially and temporally. It is common for population geographers to ask how places are similar or different. How does one place compare with another or with the nation or the world? How does an attribute affect the surrounding area? Are there regional variations in demographic phenomena? What is the nature of transitions between places? Are gradients gradual or abrupt? Are there spatial patterns such as imbalances, clustering, and distinctive patterns or is the phenomenon random in occurrence? Is there evidence of spatial associations or correlations? Are there places or locations that serve as exceptions to the rule or aberrations from typical places? And how do things spread through time across space? What avenues or barriers hinder or enhance diffusion? These are a few of the questions posed by population geographers thinking spatially (Gershmel, 2008). Understanding spatial variation in demographic phenomena is at the heart of population geography. Population geographers have a heightened appreciation for the significance of scale. The scale of analysis determines geographic representation. It is seldom a question of which scale is right, rather which scale is appropriate. The important issue is to what extent the scale of analysis conditions the findings of a study. Some studies are best undertaken with a global perspective, such as those related to global climate, pandemics, and human rights. Others are distinctly the concerns of families and households, such a completed fertility. Spatial aggregation increases as the scale of analysis moves along the geographic hierarchy from people, to households, neighborhoods, cities, regions, nations, international associations and the global context. As well, there are numerous units of analysis that do not fit neatly into a geographic hierarchy as I have outlined. Stakeholders, congregations of people, unions of nations, are just a few examples of groups that transcend traditional scales. The uncertainty associated with spatial aggregation is known formally as the modifiable area unit problem (MAUP). First described by Openshaw (1984), the areal units used in many geographical studies are arbitrary, modifiable, and subject to the caprice of the researcher conducting the aggregation. Researchers take a variety of approaches to contend with the modifiable area unit problem. Some studies conduct the same analysis at different levels of spatial aggregation to assess the relative sensitivity of their findings. Others intentionally jump scales to produce alternative knowledge. In population geography, as with other spatial sciences, the modifiable area unit problem is intertwined with the practical challenge of integrating data across geographic scales. 2.2 The Making of Population Geography Population geography owes its formal beginnings as a sub-discipline of Geography to the Presidential address given by Glen Trewartha at the annual meeting of the Association of American Geographers in 1953. At the time, Geography was divided into two areas, generally: Physical Geography and Cultural Geography. In his address, Trewartha presented an organizational triade for Geography comprised of population, the natural earth and the cultural earth. In more contemporary 4 terminology this triade includes people, the physical environment, and the cultural environment. He placed the natural and cultural environments at the base and population at the top (Figure 19.1). Figure 19.1. Trewartha’s depiction of Population as the apex of the field of Geography. Trewartha was a physical geographer and a climatologist. Trewartha was making the call for an anthropomorphic view of the geographical sciences. Population was what made the physical and cultural studies important. He was encouraging the scientific study of populations, particularly as they relate to the physical environment. In Trewartha’s words, “Population is the point of reference from which all other elements are observed and from which they all, singly and collectively, derive significance and meaning. It is population which furnishes the focus.” (Trewartha, 1953: 83). In geographical texts it is commonplace to give Trewartha recognition as the one who initiated population geography (although it has not come to be the pinnacle of the discipline of Geography as Trewartha proposed). Trewartha made an impact on the discipline of geography, but he was not alone in working to establish population as a scientific field of study. The classic and the most influential book on demography “The Study of Population: An Inventory and Appraisal” by Hauser and Duncan (1959) includes a chapter titled Geography and Demography. Clearly, population geography is a typical interdisciplinary field of these two scientific disciplines. Weeks (2004) is one of the few scholars to explain the larger context of Trewartha’s address. Trewartha was at the University of Wisconsin which was, and still is, a vibrant environment for population studies. The call for the scientific study of population was being heralded throughout the academy. Moreover, the call was being heard! The Population Council, now a leading voice in policy-oriented research, was established by the Rockefellers at this time. As well, the International Union for the Scientific Study of Population (IUSSP) was working with the United Nations to plan for the World Population Conference that was subsequently held in Rome in 1954. Throughout the 1960s and 1970s population geography blossomed and, in a sense, came of age in the 1980s by which time it had become dominated by spatial analysis and quantitative methods. It was a sizeable sub-field of Geography whose domain was the scientific study of population. Notable in this development was the work of Wilbur Zelinsky. In his 1966 text A Prologue to Population Geography, Zelinsky distinguished the population geographer from the demographer in the following manner. He depicted the demographer as being “concerned with the intrinsic nature, the universal attributes, of populations, with the systematic principles governing their composition, socioeconomic correlates, behavior, and changes: the spatial is incidental to this purpose.” In contrast, he described population geography as the “science that deals with the ways in which the geographic character of places is formed by, and in turn reacts upon, a set of population phenomena that vary within it through both space and time as they follow their own behavioral laws, interacting one with another and with numerous non-demographic phenomena.” (Zelinsky, 1966:3). The scientific study of population influenced other areas of Geography as well during the 1970s. The sub-field of medical geography (akin to spatial epidemiology) was established during the late 1970s. Melinda Mead’s 1977 article in The Geographical Review titled “Medical Geography as Human Ecology: The Dimension of Population Movement,” is frequently cited as the cornerstone of establishing medical geography as a sub-field in Geography. Interestingly, in this paper she includes a diagram that is essentially the same as Trewartha’s triade, yet it focuses on health as the outcome of the dynamic interactions between the three dimensions of population, environment and culture. As well, the scientific study of population became a core concern of the sub-field of economic geography and the field of regional science. It was Hägerstrand who integrated people into regional science. Hägerstrand asserted that time and space were not independent of each other. His contribution was as eloquent as it was influential. His research focused on innovation diffusion 5 as he studied the spread of new technologies. People and their ideas move together. Prior to his writings, regional science and population geography did acknowledge the importance of both space and time but tended towards keeping them separate analytically. Hägerstrand’s work was overwhelmingly influential in Geography and Regional Science because his work situated people in time and space. Situating people in time and place is at the core of contemporary population geography. 2.3 The Development of Spatial Demography Sociologists Voss et al. (2004) explain that until the mid-20th century virtually all demography, in the United States at least, was spatial demography. They make this claim because they define spatial demography as the formal demographic study of areal aggregates, i.e., of demographic attributes aggregated to some level within a geographic hierarchy. They argue that in the years since about 1950, the scientific study of population came to be dominated by attention to the individual as the agent of demographic action. It was at this time that spatial demography (narrowly defined as the study of areal aggregates) gave way to micro-demography. Moreover, the field of spatial demography remained disengaged from the important trends that emerged in the 1980s in the disciplines of geography, regional science and spatial econometrics. Luc Anselin published a comprehensive book on spatial econometrics in 1988. Evidently, while Trewartha was encouraging geographers to embrace population as their raison d’être, and geography and regional science were developing conceptual approaches for studying the dynamic interaction of people and places, sociologists were backing away from place-based studies. By the start of the 21st Century, demography was described by some as possessing a rich methodology, but largely lacking a spatial perspective. A spatial perspective is more complex than simple areal aggregation. In a recent paper in Demography, Entwisle (2007) calls for ‘putting people into place’. Her paper encourages demographers and population scientists to take the lead in explaining behavior and outcomes in relation to a potentially changing local context. Entwisle is referring to the virtual explosion of empirical studies on neighborhoods and health that have occurred over the past few decades but as yet have made little headway towards understanding the significance of place and location. Similar explosions of ‘studying the local’ can be found in other areas of research such as segregation, criminology, educational attainment, intergenerational poverty, and so forth. She asserts that all the necessary tools and techniques have been in place for 20 years or so, and yet empirical evidence points to an absence of theoretical models where space plays a causal role in demographic outcomes. Conspicuously absent from her article is geographic research. The only explicitly mentioned geographic work is an example of agent-based modeling. More interdisciplinary collaboration will enable social scientists to further appreciate the rich potential of the spatial perspective. Echoing the distinction between demography and population geography raised decades earlier by Zelinsky, Entwisle’s plea is directed towards the scientists within the demographic community that continue to consider place as little more than a container. Population scientists such as these are encouraged to embrace the advances made in spatial demography. Theoretical models in which space plays a causal role in demographic outcomes are needed for spatial demography to assume more of an analytical role in demographic research. Indeed, spatial demography is flourishing, as some demographers and population scientists have embraced developments in other disciplines, the most notable being spatial statistics, regional science, and geography. Initially, the field of spatial analysis was dominated by regional science and spatial econometrics. Contemporary spatial demography involves sophisticated spatial analysis. In recent decades the range of spatial approaches in the social sciences has expanded considerably to include analytic cartography, Geographic Information Systems (GIS), network analysis, timespace modeling and visualization, spatial optimization techniques, spatial interaction modeling, agent-based modeling, simulation methods, point-pattern analysis, and spatial econometrics. Still, a 6 great deal of contemporary spatial demography is not being conducted by demographers but rather by spatial scientists. Fearon conducted a study in 2005 of published demographic papers that use spatial analysis based on the Spatial Population Index. He found that a quarter of all articles published from the period 1990 to 2003 were in the discipline of geography. A third was published in economics due largely to the prolific use of spatial econometrics. Other disciplines that were well represented were urban studies, sociology, public health, regional science, urban and regional planning, and environmental studies and policy. Amongst the 2000-plus demographic articles that included spatial analytic methods the following approaches were recorded: neighborhood effects, spatial diffusion, spatial data analysis, locational decision making, spatial econometrics, spatial regression, spatial dynamics, spatial cluster, spatial effect, mapping, population potential (accessibility), spatial economy, spatial statistics, spatial decision, spatial autocorrelation, gravity model, cartography agglomeration economies, spatial heterogeneity, spatial equilibrium, spatial correlation, spatial interaction, spatial cluster analysis, urban hierarchies, industrial location, spatial autocorrelation and locational analysis. And this study doesn’t include papers since 2003. Spatial demography is alive and well and very sophisticated. The diffusion of methods of spatial demography has been fostered by the integration of spatial analysis and geographic information systems (GIS) and emerging sources of spatially referenced data (geo-coding). The Center for Spatially Integrated Social Science (CSISS) at the University of California Santa Barbara, which was established by MF Goodchild, RP Appelbaum and Luc Anselin, has facilitated this integration greatly. The ‘spatial awakening’ in the social sciences can be attributed to a combination of factors. Spatial demography became a funding priority by both the National Science Foundation and the National Institute for Child Health and Development. A number of innovative Population Centers funded by the National Institute of Health supported spatial demography programs (Brown, Wisconsin, University of North Carolina, and Penn State). As well, the integration of theory, greater computational ability, and the availability of specialized software led to further developments in spatial statistics and spatial econometrics. CSISS now partners with the Population Center at the Pennsylvania State University specializing in GIS, spatial statistics, cartographic visualization and demographic science. Research in population geography has a long tradition of respect for scientific rigor, conceptual clarity, objective empirical measurement and solemn concern with the nature and quality of data. In the next section, the traditional and contemporary methods of population geography will be reviewed along three themes: the geographic distribution of populations, migration, and spatial analysis. 3. Methods of Population Geography Population geography is concerned with the spatial distribution and composition of the population. Like other population scientists, geographers commonly use measures such as median age, sex ratio, the dependency ratio, labor-force participation measures, population pyramids, percentage change, rates of change, crude death rates, age-specific and cause-specific death rates, standardized death rates, crude birth rates, period and cohort measures of fertility and life table models. Population geographers also model rates of population growth (geometric, exponential, and logistic) to understand demographic change. These are standard techniques in the demographer’s toolbox and are well reviewed elsewhere in this volume. This section presents analytical methods used by population geographers and spatial demographers. Many of the methods have been derived from techniques developed in regional science, spatial econometrics and geostatistics. The methods are grouped into three general areas: 1) analyzing the 7 geographic distribution of the population, 2) analyzing population movement and migration, and 3) recent developments in spatial analysis towards local spatial statistics. Much of the material presented in this section is distilled from the 1994 book by David Plane and Peter Rogerson titled The Geographical Analysis of Population with Applications to Planning and Business. This book is a rich and detailed collection of geographical techniques for population scientists and a must read for any student of population geography and spatial demography. 3.1 The Spatial Basics – Geographic Distribution of Population Population density is a fundamental measure in demographic research which is of particular interest to population geographers. Simple to calculate, population density is measured by the ratio of the size of the population to the size of the geographic area that contains the population. It is an explicitly spatial concept. According to the United Nations, in 2005 the Netherlands had a population density of 395 per km2, whereas Canada’s population density was 3 per km2. The variation in population density is striking. This example illustrates another important concern for the population geographer- spatial variation. As a nation, Canada has a large land mass and a relatively small population size. However, the population is distributed unevenly across the urbanrural continuum, concentrated in a few very large cities. Figure 19.2 World Population Dot Density Map by Country 3.1.1 Descriptive spatial statistics For descriptive measures of a spatial distribution (such as a point pattern) the most basic approach is to calculate the mean center and the standard distance. These are spatial analogs of the classic descriptive measures of mean and standard deviation. Unlike an aspatial variable, a spatial point pattern has locational attributes which can be measured in 2-dimensional space, using either latitude and longitudinal, or locations on a grid referenced with an x-axis and a y-axis. The mean center of a point pattern has two coordinates: the mean of the x-values and the mean of the y-values such that X i Y Yi Xc c n . n , (1) The standard distance is measured as SD X i Xc Y Y 2 i n 2 c . (2) To describe a variable or attribute that is distributed across the point pattern the same approach is used, but the mean center and the standard distance are weighted by the values of the attribute at each location, producing a weighted mean center and a weighted standard distance. The Census of the United States calculates the weighted mean center of the population of the United States after each census. The mean center of the population has been steadily moving west and south with each decennial census. 3.1.2 Index of Concentration – The Hoover Index In 1941, E.M. Hoover used a method to measure the level of population concentration of a given population distribution. Originally Hoover was studying interstate population movement. The index is practical and popular and has come to be named after Hoover. r H 50 pi ai i 1 8 (3) where pi is the share of the entire study regions population P found in a subarea i at a given moment in time, and ai is the share of the entire study regions land area A in subarea i. Part of the appeal of this measure is the ease of interpretation of the index. The index is theoretically bound by 0 (meaning the population is equally distributed across all areas relative to their size) and 100 (meaning the population is concentrated entirely in a very small area of the larger study region). The two theoretical bounds are extremely unlikely. The value of the index can be interpreted as the proportion of the population that would need to relocate to make the population of similar density across the study region. 3.1.3 The Lorenz curve The Lorenz curve was originally developed by M.O. Lorenz in 1905 to study the distribution of wealth. It has become a very common technique to graphically portray patterns of inequality. As it happens, the initial call to use the Lorenz curve came from an article published by JK Wright in 1937. Wright was the director of the American Geographic Society from 1938 to 1949. Wright’s article encouraged the use of the Lorenz curve to study geographic areas. The Lorenz curve is a simple but effective graphing technique that compares the cumulative percentage of two variables displayed on an x and a y axis, respectively. If there is complete correspondence between the two variables (equivalence) then the graph displays a diagonal line from the bottom left corner to the top right corner of the graph. Any deviation from this diagonal line represents the amount of difference between the two cumulative percentage values, or more simply, inequality in the relative distribution of two variables. Wright made the case for the Lorenz curve to be used to compare geographic areas for differences in the association between population distribution and income, and other important measures. Nowadays the Lorenz curve is used in studies of geographic inequality, such as environmental racism and accessibility. 3.1.4 Population potential - the accessibility index Accessibility is an important concept in geographic research. Measuring and comparing the accessibility of a population to a particular site can be vital for successful site location. Accessibility can be measured in a number of ways, such as the distance traveled, the cost of travel, or the time to travel to a particular site from all areas in a geographic region. Warntz (1964) developed a measure of accessibility called the population potential of a site. Population potential is measured in the following manner: r p j i i 1 d ij (4) where j is a measure of accessibility (population potential) at any location (site) j; pi is the population of each subarea and dij is the distance from the centroid of each area i to the site j. Since this ratio of population to distance is summed across all the surrounding areas the larger the population potential of a given location the more accessible a site is for the surrounding population. These measures are often used to determine the optimum location for services targeted towards specific populations. For example, in choosing where to locate a public health facility the population potential could be calculated using the complete population counts or it could be calculated relative to the spatial distribution of a specific subgroup of the population in need. By comparing the population potential of various sites, one can determine the optimal location to maximize accessibility to a site for a target population. This index is used in marketing studies considerably. 9 3.1.5 Location quotients The traditional use of location quotients in geographic research has been the study of industrial specialization across the landscape. Location quotients (LQs) are now a common method within population geography to study the spatial distribution and clustering across the landscape by population groups and subgroups. Location quotients are computed in the following way: Pij Pj LQ *100 P i Pt (5) where Pij is the population in subarea j in subgroup i, Pj is the total population in subarea j, Pi is the population in subgroup i, and Pt is the total population of a region. In the numerator we have the ratio of a particular subgroup of the population in a specific area to the total population of that specific area. In the denominator we have a ratio that represents the proportion of the population across the whole region in that particular subgroup. Therefore, values above 100 represent spatial concentrations of a population subgroup and values below 100 represent fewer members of a population subgroup than expected given their presence in the larger region. A value equal to 100 indicates a subarea has the same proportion of a population subgroup as is present in the larger region. Practically, subareas are measured at the level of zip code, census tract, or neighborhood. Location quotients can be readily mapped to assist with visualizing spatial concentrations. 3.1.6 Segregation Measures Population geographers are often interested in the spatial distribution of the population, particularly the extent to which ethic groups are segregated in metropolitan areas. There are a variety of measures of segregation. Two that are frequently used in geographic analysis are the Index of Dissimilarity and the Exposure Index. Frequently, these methods have been used to develop school busing plans aimed at achieving racial integration within schools. Both of these measures are easy to calculate, and are readily understood in non-technical terms. The Index of Dissimilarity (D) measures the extent to which the ethnic composition of each subarea (usually some representation of a neighborhood) reflects the aggregate ethnic composition of a city or metropolitan area. The index takes on values from 0 to 100, and the larger the dissimilarity index, the greater the amount of segregation. For example, if we let Bi and Wi represent the Black and White populations respectively in a subarea i and let B and W represent the Black and White populations in the entire metropolitan area, then the formula for the index is: B W D 100( 12 )i i i B W (7) The Dissimilarity index can be interpreted as the percentage of either population group that would have to move in order for each subarea to reflect the ethnic composition of the metropolitan area. The interpretation is similar to the Hoover index, but the scale of analysis is different. 10 Another commonly used measure of segregation is the Exposure index (E). The basic concept of the Exposure index is to define the probability that a member of a specific subgroup comes into contact with a member of another specific subgroup in any random “exposure” to a member of the general population of his or her own subarea of residence. This index must be calculated separately for each group. If Ti represents the total population in subarea I, the exposure index can be calculated for the intragroup or intergroup exposure. The intragroup exposure index is used to determine the probability that a member of a specific subgroup comes into contact with someone within their own group, Ebb 100 i Bi * Bi B Ti (8) The intergroup exposure index is used to determine the probability that a member of a specific subgroup comes into contact with someone from a different group, Ebw 100 i Bi * Wi B Ti (9) These indices provide comparable and intelligible measures of segregation for metropolitan areas. Note that the indices can be used for other types of population diversity as well. More recent developments with measures of segregation enable more than two groups to be considered simultaneously. 3.2. Measures of migration – population on the move Migration is an explicitly spatial demographic process, so it is not surprising that the lion’s share of research in population geography is focused on migration. 3.2.1 Migration rates Measures of migration begin with rates for in-migration, out-migration, net-migration and grossmigration, where O represents the size of the population moving out of an area, I the size of the population moving into an area, and P is the size of the population in the area initially. The measures are multiplied by a constant, usually 1000, to create a rate. Although they are measured in the same manner, outmigration and immigration refer to local scales of population movement. At the international scale the terminology becomes emigration and immigration. O *1000 Outmigration rate = P (10) I *1000 Inmigration rate = P (11) I O *1000 Net migration rate = P (12) I O *1000 Gross migration rate = P (13) Gross and net migration rates can pose difficulties in making comparisons of population growth due to differences in the population size of places. Small and large denominators can be difficult to use. 11 Consequently, some researchers prefer to use a measure of demographic effectiveness to assess the impact of population exchange that results from migration. 3.2.2 Demographic efficiency of migration How effective are migration streams across a system? This question has been tackled by Thomas (1941) by calculating a measure of demographic effectiveness, and further addressed by Shyrock (1964) who called it demographic efficiency. Letting N represent net-migration, and T represent total migration, the demographic effectiveness of a given region j is measured in the following manner: N E j 100 j Tj (14) Some researchers prefer this approach to measuring the impact of migration flows on population change because it is based on population flows in and out of the same region, and therefore it is not influenced by the population size of a place. Plane (1984) extended this approach and developed a summary measure for system effectiveness to assess the short-term changes in U.S. population at the interstate level. 3.2.3 Migration characteristics and expectancies Migrant characteristics vary across time and space. Nonetheless, age reliably dominates all other migration characteristics. The age profile of migration is sufficiently reliable that Rogers (1966) developed and applied model migration schedules (Rogers, 1966). In a similar vein, population geographers have developed tables of migration expectancies by using age-specific rates of mobility and mortality. This approach is similar to the use of a life table to determine life expectancies. Life tables are used to determine life expectancy beyond a certain age group. Given that someone lives to be a certain age, and assuming the age-specific profile of mortality holds true, the typical life expectancy can be read of the life table. Similarly, with a table of migration expectancies one can ask – how likely is someone to move once they have reached a certain age? Or, what is the expected number of moves after a certain age? If Ex is the migration expectancy at a given age, Ma is the mobility rate for people in the age group beginning at age a, La refers to the size of the stationary population for the age group, and l x is the population at exact age x, then the formula to calculate the migration expectancy for a given age is: M a La Ex a x lx (15) Both La and lx are derived from a standard life table. Measures of migration expectancies are particularly useful for anticipating future age patterns of migration. 3.2.4 Spatial shift-share analysis Regional economists and economic geographers have used shift-share analysis to understand changes over time in the sectoral structure of employment. Plane (1987) used shift-share analysis to understand the changing age structure of migration. Shift-share analysis is a technique used to decompose migration patterns. Just as regional economists study sectoral shifts in the employment structure, population geographers study age shifts in the population migration structure. Like many of the migration methods previously discussed, the aim is to gain an understanding of the changes in the volumes of population flows between places. 12 Spatial shift-share analysis is derived from a matrix composed of interregional migration over time. Each dimension of the matrix represents a different moment in time. The shift-share analysis is designed to decompose the migration flow patterns across the matrix on the basis of three separate population quantities: a population base component (Bij), a mobility component (Uij), and a geographic distribution component (Gij), such that the change in migration flows from one time period to another ( M ij ) becomes: M ij Bij U ij Gij (16) The base population component represents the different population at risk across various places due to differences in the original population size. Pi represents the amount of population change in an area. The base component measure uses the migration rate from the first time period and applies it to the population at risk in the second time period: M Bij ij Pi Pi (17) The mobility component captures the amount of population change (positive or negative) that is attributable beyond the base population because of the rate of change from migration to all areas (Mi*), M P i* U ij i M ij M i * Pi (18) The third component is the geographic distribution component which gives the proportion of the change of migration from region i to j which is attributable to the destination specific flow. M ij M i* Gij M M ij M i* ij (19) Gij can be determined readily after calculating the first two components, such that Gij M ij Bij U ij (20) In this form the shift-share technique assumes spatial independence between the geographic units. Since this is frequently an unrealistic assumption, recent applications of this technique utilize a spatial weight matrix to represent the geographic dependence between places. 3.2.5 Gravity models and economic gravity models The gravity model has been used for decades to crudely predict gross migration between two places. It is based on Newton’s universal law of gravitation. PP M ij i 2 j *1000 d ij (21) Simply stated, the size of the migration flow anticipated from one area to another is directly related to the collective size of the populations (mass) and inversely related to the distance between two places. Implicit in this model is the concept of distance decay. The expected interaction between two places declines as the distance between them increases. The friction of distance serves as a deterrent for cultural and spatial interactions. Gravity models have been used for decades with 13 considerable refinement to this basic representation. More sophisticated versions of the gravity model include different specification for the friction of distance, the use of different distance deterrent metrics for different origins and destinations. Other common refinements focus on differences in economic opportunities between two places and not just population size. 3.3 Methods of spatial analysis The recent integration of methods of spatial analysis with software programs and geographic information systems has vastly increased the number of studies using spatial analytical methods, even though many of these methods have been around for many decades. At the other end of the spectrum, the use of computers for computationally intensive procedures has enabled the development and integration of more specifically local spatial analytical methods. Spatial analysis has experienced a turn from the global to the local – a turn that has significant promise for the development of geographic and spatial theory. In this section we will review global measures of spatial autocorrelation and then their local counterparts. 3.3.1. Measures of spatial autocorrelation: Global to Local Moran’s I There are a variety of analytical techniques to test for spatial dependence. These tests specifically measuring the extent of spatial autocorrelation found in a spatial distribution. One such measure has been devised by Moran (1950) and can be applied to area patterns and to point patterns. For areal data the equation for Moran’s coefficient is: n c X i X X j X I 2 J X X (22) where I is Moran’s spatial autocorrelation coefficient, n is the number of areas in the study region, J is the number of joins, X is a value for an area (ordinal or interval), Xi and Xj are two contiguous areas (on either side of a join) and c is a pair of contiguous areas. Moran’s I is calculated and then compared with the expected value derived from either a random distribution or a normal distribution to determine if the observed spatial pattern came about by chance. Evidence of spatial autocorrelation indicates the pattern did not occur randomly. Of course, this is merely an indicator of spatial dependence, it does not constitute an explanation for the observed spatial distribution. The test for spatial autocorrelation in point patterns is a revised version of Moran’s coefficient. With point data, instead of considering the relationship between pairs of contiguous area values, it is necessary to measure the relationship between all pairs of point values, taking into account the distances between them. If there are n points, there will be n(n-1)/2 possible pairs of points. The technique can be quite easily computerized for it is very tedious to calculate manually. The form of Moran’s I for point pattern is n pWij X i X X j X I 2 pWij X X (23) where I is Moran’s spatial autocorrelation coefficient, n is the number of points, Wij is the weight given to the relationship between two points i and j and p is a pair of points. The weight is usually the reciprocal of the distance between the two points. The distance between points i and j are defined as dij, thus Wij = 1/dij. Each weight is meant to be a measure of the influence exerted by one point on another. The use of the reciprocal of distance as a weight implies that the influence decreases with distance. 14 Both of these measures are global measures in that the procedure provides a single coefficient to describe the complete spatial pattern. Sometimes the researcher wants to know if there is a cluster of events around a single or small number of places. For example, does disease cluster around a toxic waste site? Does crime cluster around exotic dancing establishments? We need a method to detect spatial clustering, and local spatial statistics are the suitable method. Anselin (1995) has developed a local spatial autocorrelation statistic called Local Moran’s I. The local measure is called a LISA statistic – local indicator of spatial association. Anselin defines LISA as having the following properties: 1) The LISA for each observation gives an indication of the extent of significant spatial clustering of similar values around that observation, 2) the sum of LISAs for all observations is proportional to a global indicator of spatial association. The formula to calculate the local measure of Moran’s I is, X X Ii i 2 wij X j X Si j 1,i j (24) where N Si 2 j 1, j i wij N 1 X2 . (25) In the case of applying the weights for distance bands 1 wij (d ) m d . (26) The interpretation of the local Moran’s I is very similar to that of global Moran’s I. Values of Ii that exceed the expected values indicate positive spatial autocorrelation, in which similar values, either high values or low values are spatially clustered around point i. Values of Ii below expected values indicate negative spatial autocorrelation, in which neighboring values are dissimilar to the value at point i. There are two types of spatial weighting methods that may be used. The first spatial weighting method uses a spatial weights matrix recorded and referenced in a file. This enables researchers to introduce their own conceptualization of the spatial structure. The second type uses a weight that raises the distance by some power function. This statistic is calculated for distance bands only (Figure 19.3). Note that each Ii value for a given site i represents association between the ith site and only the j values in a given band. Figure 19.3 Distance Bands for Calculating LISA using Local Moran’s I 3.3.2. Global to Local: Getis-Ord G to Getis Gi Getis-Ord General G (1992) is a global measure of spatial association. It is a multiplicative measure of overall spatial association of values which fall within a critical distance of each other. An observed G(d) value higher than the expected G(d) value indicates a clustering of high values, and an observed G(d) lower than the expected G(d) indicates a clustering of low values. It can only be computed for positive variables. For a chosen critical distance d, G(d) is 15 N G d N w (d ) x x ij i 1 j 1 N N i x x i 1 j 1 i j , j 1 j (27) where Xi is the value if the ith point and wij(d) is the weight for point i and j and for distance d. This is then compared to the expected value, which is derived theoretically. This global measure provides a number that determines if there is a general pattern of high values clustering or low values clustering. Getis also developed a local version of this spatial statistic to detect clustering – the Gi statistic. There are two variations of this statistic, depending on whether the unit (observation) i around which the clustering is measured is included in the calculations. Gi does not include the observation around which the measure is being calculated. Gi* does include the observation around which the measure is being calculated. The purpose of this measure is to test whether spatial clustering exists around a certain location (i) in the following manner, jWij X j , j i Gi jXj (28) where Gi is the measure of local clustering of attribute X around i, Xj is the value of X at j, Wij represents the strength of the spatial relationship between units i and j which can be measured as either a binary contiguity variable or a continuous distance-decay measure. If high values of X are clustered around i, Gi will be high. If low values of X are clustered around i, Gi will be low. With no clustering of values around i then Gi will be an intermediate value. 3.3.3 Agent-Based Computational Demography Microsimulation approaches such as agent-based models are at the forefront of many disciplines. Agent-based models have been used to study mobility, residential segregation and tipping points. These approaches capture the multifaceted aspects of neighborhoods. Simulations provide a means to experiment with conditions and constraints and observe the effect on micro-level behavior and system level outcomes. The method is largely inductive. Agents are individuals that follow rules governing the system. One of the appeals of these models is that both macro and micro processes are endogenous. In geography ‘spatially explicit’ agent-based models have been developed to describe landuse change in a variety of settings. If these methods could be designed to include dynamic social networks then these methods would make an enormous contribution to spatial demography and population geography. Currently, this is the leading edge of research in spatial demography. The general appeal of agent-based models is the ability to explore complex behaviors and outcomes stemming from simple rules. 3.3.4 Geographically weighted regression When using ordinary least squares regression (OLS) with spatial data researchers frequently violate the assumptions of the model. Regression assumes independence among the observations. To determine if model assumptions have been violated, researchers examine regression residuals for patterns deviating from homogeneity. Spatial autocorrelation in the residuals violates the assumptions of OLS regression modeling. 16 Traditional multiple regression analysis is a global approach, in that the OLS criteria generate a single equation with one intercept and one parameter estimates for each of the variables in the model. OLS regresses towards the mean. It is a global measure that indicates the generalized nature of the relationship between a dependent variable and independent variables. Values of the regression coefficients are global in the sense that they apply to the study region as a whole. Geographers and regional scientists have traditionally mapped the residuals of a regression model to detect places where the global model performed well or poorly, depending on the size and direction of the residuals. Once mapped, these residuals can also be scrutinized using methods to detect spatial autocorrelation and clustering as outlined above. Fortheringham, Brunsdon and Charleton (2002) have developed a method of geographically weighted regression analysis that provides local measures rather than a global measure. Realistically, it is most probable that coefficients vary across space. Geographically weighted regression is a regression approach that accounts for spatially varying parameters. The GWR technique is based on local views of regression, as observed from each data point. In a GWR relatively large weights are ascribed to points near the location and relatively small weights are given to observations far from the location. There is a continuous surface of parameter values. In the calibration of the GWR model it is assumed that observed data near to point i have more of an influence in the estimation of the regression coefficients than do data located farther from i. The dependent variable at location i is modeled such that p yi bi 0 bij X ij i j 1 (29) X where P are independent variables, ij is the observation on variable j at location i. Note the b coefficients have i subscripts making them location specific. In GWR an observation is weighted in accordance with its proximity to point i so that the weighting of an observation is no longer constant in the calibration but varies with i. The most common form for weights is a negative exponential function of squared distance, so points farther away will be assigned lower weights. In essence, the GWR equation measures the relationships inherent in the model around each point i. The weights depict spatial relations that are in keeping with Tobler’s first law of geography. GWR produces localized parameter estimates. It also produces localized versions of all standard regression diagnostics including goodness-of-fit measures such as r2. GWR is available as a stand-alone software package and it is very easy to use. Users need to consider an appropriate kernel and bandwith to use in their analysis. This makes the user determine a priori the metric that best reflects their theoretical conception of the influence of data points within certain distances (bandwidth). Studies have used geographically weighted regression to examine different causes of spatial nonstationarity. The software can accommodate a geographically weighted regression model for logistic regression models as well. Researchers in spatial demography and population geography are beginning to take full advantage of the potential of GWR for making conceptual advances in our understanding of the significance of place and space. Multilevel modeling is another regression-type approach that has been developed to accommodate the endogenous and nested nature of the various scales of measurement. For example, individuals are nested within families, which are nested within neighborhoods, which are nested within labor markets or school districts, and so forth. Standard regression methods can not handle the spatial dependence that is introduced when several independent variables are included in a model that are related or scale dependent. In these situations population scientists apply multilevel models which explicitly include in the model terms to account for the various levels of dependence. These models 17 are very potent in their ability to integrate social and spatial measures. They have also served to reinforce the significance of scale in demographic research. To summarize, there are a host of methods used in population geography. The methods have been grouped within three general areas of inquiry: geographic distributions, population movement, and spatial analysis. Many were developed decades ago within regional science and some have been developed more recently, enabled by the power of computational processes. These methods and techniques enable population geographers to situate people in time and place. Clearly, the methods of population geography have come a long way from areal aggregation. In the next section we turn to the substantive themes of geographic demographic inquiry. 4. Themes of population geography Since the initiation of the journal, Progress in Human Geography has provided an annual progress report on the state of the art of population geography. These reports are a good resource from which to chronicle the themes in population geography over time. They also serve periodically as a forum to draw attention to what is absent in the field. Traditionally, population geography focused on the spatial aspects of the three demographic themes of fertility, mortality and migration only. This is no longer the case. The scope of population geography has shifted with the times. Currently, population geography practically is obsessed with migration and anything related to migration. In part this is because migration (more so than fertility and mortality) is inherently spatial. In many places, migration is the driver of population change rather than natural increase. As well, historically speaking we live in an age of migration and enormous levels of population circulation. Yet, we also live in an age of adoption, aging, assimilation, below replacement fertility, care giving, famine, fear, flexibility, global warming, global inequality, information, overconsumption, vulnerability, and wellbeing, to name just a few contemporary concerns. The modern world is vastly different than it was a generation ago, and the themes of research in population geography have changed with it. The demographic perspective remains central – but the power of the demographic perspective comes from situating people in place, across time and space. 4.1 Whither fertility and mortality During periods of high fertility, such as the baby boom, population geographers have given attention to fertility and the spatial variation of fertility. However, the study of fertility is not as visible in population geography now as it has been in the past. Fertility studies are conspicuously absent. This is likely due to very low levels of fertility in many nations. Arguably, this is an area in need of more research. There is a distinct geography to fertility differentials, and the geography of the consequences of below-replacement fertility is as yet poorly known, but of considerable import for population policy. Recently, Boyle conducted studies of fertility differentials in Scotland and found there to be striking geographic variations. What has caused these local variations in fertility levels remains largely unknown. Understanding global to local variations in fertility levels is an area set for study. Similarly, with increases in life expectancy, population geographers have also turned away from mortality studies. There has been a decline in interest amongst population geographers in the study of mortality. What little interest there has been is largely historical or based in the developing world. In contrast, there is a vast health inequalities literature with which population geographers are becoming more fully engaged. Recently, Boyle provided evidence of a striking geography to mortality and morbidity. Geographic inequalities in mortality are at an historic high in Britain, which begs interesting questions about the health selectivity of migrants and the impact of inequalities on the health and wellbeing of a population. As with fertility, understanding global to local variations in mortality and morbidity is an area ripe for research. 18 4.2 Migration events In contrast, population geographers overwhelmingly have been engaged with the study of migration and mobility. The vast majority of studies in population geography are related to the movement of population across all scales, and the consequences of these movements for local areas and larger societal concerns. The scales of migration studies range from international to transnational to regional to the local. Migration refers to population movement across a political boundary, whereas residential mobility refers to population movement within the same political boundary. Mobility studies serve as a good example of the modifiable area unit problem. Residential mobility is conceptualized as mobility within the same labor market area, with adjustments in the housing market. These are often motivated by job changes or shifts in housing consumption, and tend to be of short distance. There is a close link between the life course of individuals and residential mobility. Migration has generally been conceptualized as long-distance moves between labor markets, motivated by employment reasons or familial ties and social networks. Another important distinction when conceptualizing mobility is the difference between voluntary and forced mobility. Forced moves occur in the context of evictions, natural disasters or political turmoil involving human rights violations. Contemporary studies in population geography either study migration directly or indirectly by analyzing the material consequences stemming from migration. Some of the main themes that have been prevalent in research are life course studies and longitudinal analysis, intergenerational studies, gendered family migration, assimilation processes, and neighborhood studies and residential mobility. 4.3 Life course perspective Like other disciplines that embrace population studies, the life course perspective serves as a unifying theme for a great deal of research in population geography. Life course studies examine the interconnection between different aspects, called careers or trajectories, of people’s lives. A career is the sequence of events that occur over time in any one aspect of someone’s life. Individuals have household careers, family career, educational careers, employment careers, and so forth. Life course studies make the connection between the timing and sequencing of events in one aspect of people’s lives with their state or events in other aspects. For example, studies have shown repeatedly the strong association between residential mobility and the timing of marriage, or the timing of child bearing, etc. The life course perspective has been a prominent theme in studies of residential mobility and migration. This perspective is usually associated with longitudinal data analysis due to the emphasis on process rather than association. Early life course research tended to examine the impact of an event in one career on the likelihood of an event in another career. Research on life course geographies carries themes of relational ties while contributing new knowledge on topics that include mobility, work, housing, childhood, changing family arrangements, social networks, age, generation, disability, health and well-being inequalities and vulnerability. An excellent example of life course research is the study by Plane, Henrie and Perry (2005) titled ‘Migration up and down the urban hierarchy and across the life course’. The authors tabulate origindestination specific migration flow data from the Census and Internal Revenue Service tax-return administrative records for the period 1995-2000. The scale of the study is both national and along the urban hierarchy. As they examine the recent structure of migration flows up and down the hierarchy they find support for the concept of step migration as originally presented by Ravenstein (1885) but instead the flow is down the hierarchy. They find effects of spatially focused immigration, an age profile to migration, including migration of young adults associated with 19 college and military service, as well as moves characteristic of stages of family formation, childrearing and retirement. Their research methods include calculating demographic effectiveness, components of population change, rates of natural increase and differential birth and death rates, age decomposition of current net-migration streams, and a focus on life course events. 4.4 Intergenerational studies Now, with the availability of longitudinal data sources and methods, more sophisticated life course research is able to examine the intergenerational aspects of the life course. Demographers have always had an interest in families. Life course analysis has progressed to the stage where studies include more than one generation. There are many intriguing research areas that benefit from intergenerational analysis. Within geographic research intergenerational studies tend to examine family proximity and caregiving. Do senior parents live near their adult children? Do grandparents relocate to be near grandchildren? International variations in intergenerational relationships and proximity vary enormously. In some nations the distance metric for such studies is measured in meters whereas in other contexts it is measured in thousands of kilometers. Of note, census 2000 measured the number of grandparents providing regular childcare for their grandchildren. Intergenerational care relationships have always been of importance, but in the contemporary context proximity (or more aptly the lack of proximity) creates an additional challenge. An example of this type of research is provided by Rogerson and Kim (2005) in a paper titled ‘Population distribution and redistribution of the baby-boom cohort in the United States: Recent trends and implications.’ This study examines the spatial redistribution of the baby-boom cohort. Since 70 million people were born into this cohort spanning 1946 to 1964, the cohort exhibits considerable influence on regional population change. The study highlights the temporal and geographic implications for intergenerational care giving. They focus on the spatial and temporal dimensions of intergenerational relationships. Their research methods include geovisualization techniques, and mapping age ratios across counties of the United States. 4.5 Gendered family migration Within population geography a strong case has been made for the study and understanding of gendered migration. To the extent that men’s and women’s lives and situations differ, migration is gendered. These studies draw attention to the social and political context of migrants and migration. Migrants are situated within the greater context of patriarchy, familial and gendered norms and expectation, power structures, discrimination and opportunity structures. The impetus for gendered studies of migration has come from research in developed and developing countries. In the United States and Britain, for example, family migration has been studied at great length, particularly with an interest in the impact of migration on the labor-force participation, and earnings potential, of women and wives. As women’s roles in the labor market have changed (or not) so has the propensity for families to migrate, given the increased ties to labor markets. Gendered migration studies advance this field further by acknowledging that men and women have differing responsibilities in the home, especially regarding caregiving, which articulate into spatial and temporal variations in labor force attachments amongst married pairs. Population geographers have made significant advances in this research area. As well, there are geographic differences in the propensity of families to move, some of which can be explained by spatial variations in the labor and housing markets, and social networks. 4.6 Assimilation processes Population assimilation has traditionally been a central focus within the discipline of demography, and is reviewed elsewhere in this volume. Population geographers contribute to this body of 20 knowledge with an emphasis on the spatial scale of assimilation. A recent example of a the importance of scale for assimilation studies is the work of Ellis and Wright (2005) titled ‘Assimilation and differences between the settlement patterns of individual immigrants and immigrant households’. Their research methods include classification, analysis of secondary data (the Current Population Survey), calculating entropy measures to explore the question of dispersion, calculating and mapping location quotients and intergenerational conceptions of households. This study is innovative in the approach to counting immigrants and hence the framing of immigrant assimilation. Rather than count individual immigrants by neighborhood, metropolitan area, state or region, these scholars classify immigrants and their descendants into household types. The study compares distributions of first- and second-generation immigrants with different households that include first- and second-generation immigrants. Their study shows that the picture of immigrant geographies is different for households than the geography for immigrant individuals. They draw attention to scale dependence. They argue that the unit of analysis shapes assimilation research results. They further argue that the analytic choice is not independent from the politics of immigration. They intentionally jump scale to compare the sensitivity of their results to scale dependence. 4.7 Neighborhood studies and residential mobility Population geographers have studied residential mobility for many decades. Rossi’s 1955 book titled Why Families Move remains a classic in this regard. For decades the field of residential mobility was dominated by spatial choice theory and microeconomic behavioral models of rational behavior. Recently there has been a ‘spatial turn’ within the residential mobility literature, with the focus turning towards the impact of neighborhoods on peoples daily experiences and opportunity structure. Residential mobility literature, and place-based studies are interrogating the role the quality of residential neighborhoods has on peoples life chances. Unfortunately, as explained previously, many of these studies use unsophisticated concepts of neighborhoods by simply comparing variation across census tracts. There has been some very creative work that aims to understand whether racial assimilation achieved by residential mobility is beneficial. The driving question is whether neighborhoods play a salient role in demographic processes and outcomes. For example, is being situated in an area of extreme poverty, or an area of hypersegregation, more explanatory in behavior outcomes than individual measures of the same. We have a long tradition of measuring explanatory variables at the level of the family or individual, now we paying more attention to situating these people within different environments. Is there a neighborhood effect? A novel study in the area is Clark’s (2005) paper titled ‘Intervening in the residential mobility process: Neighborhood outcomes for low-income populations’. In this study, the US government sponsored Move-to-Opportunity program provides a real world experimental context to assess the impact of housing vouchers on families moving out of poverty neighborhoods. His research method involves empirical analysis of a survey, comparisons across time and space, and geographic visualization of the neighborhoods in Baltimore. His study considers moves out of poverty and into integrated communities and how the neighborhood context affects families that live in them. Collectively these papers address a variety of contemporary themes found in population geography research. They use a variety of data sources, a host of research approaches and many of the tools of spatial demography. None of the papers falls neatly into the traditional demographic triad of population geography. Nonetheless each makes a significant contribution to population geography and spatial demography. Collectively these themes reveal much of what is currently valued in the discipline. In the final section of this chapter we turn our attention to the challenges and future directions of population geography. 5. Challenges and future directions 21 Throughout the first decade of the 21st Century, population geographers have been putting people in place, temporally and spatially. Population geographers tend to focus on distinct events, such as births, deaths and movement. Paradoxically, the unintended consequence of focusing on events is that research seldom addresses the absence of events. For example, residential stability is given far less attention than residential mobility. In 2005 Susan Hanson addressed this issue in her paper titled ‘Perspectives on the geographic stability and mobility of people in cities’. As she studies entrepreneurship and place, she makes an important claim that research on mobility/stability to date has tended to emphasize mobility and to treat stability as the absence of an event (mobility) rather than as an occurrence worthy of analysis. People become rooted to place. She draws our attention to the way in which stability has been suppressed as an analytical category. Population geographers would be well served to consider whether other analytical categories have been suppressed by our practices and paradigms. Not only have some population groups been underresearched by population geographers, certain issues have not had the benefit of sufficient geographic or demographic inquiry: human security issues, population-health-environment nexus; population growth, economic development and poverty issues. Arguably, paths to human-environment sustainability, studies of migration, circulation, transnationalism, refugee and internally displaced person movements, and of immigrant communities must be major themes of future empirical research for population geography to count. Still, some populations are slow to gain recognition in the field – specifically internally displaced persons and children. Future progress in the field of population geography will derive from more research at the intersections of population processes and societal issues and concerns. For example, Hugo (2006) urges population geographers to step up to the challenge presented by Asia, which he figures must loom large in any assessment of the dominant global issues – poverty, inequality, sustainable development, climate change, conflict, spread of disease, famine, and environmental degradation. The explosion of personal mobility is a key issue in the Asian context. To date population geographers have already contributed to understanding the complex link between migration and development, especially in the areas of skilled migration, remittances, diasporas, and return migration. International migration is related to development and knowledge about the migrationdevelopment nexus has been expanded through analyses of gender. Population geographers need to give more attention to the interdependencies between places, as well as the interdependencies amongst scales. Hugo has suggested that in this highly mobile society we need better data on expatriates. The census of any origin nation should include a question which asks all adult females on the location of their children, and include a question on residence of all siblings. Information on these geospatial relationships of children and siblings would make a real contribution to research in the migration-development nexus. Acquiring more data does not come without additional concerns, however. VanWey and colleagues (2005) have addressed this concern in their paper titled ‘Confidentiality and spatially explicit data: concerns and challenges’. Granted, social-spatial linkage is the key to the advancement of science in a variety of fields. Recent theoretical, methodological, and technological advances in the spatial sciences create an opportunity for social sciences to address questions about the reciprocal relationship between context and individual behavior. There exists an uneasy tension between respondent confidentially and spatially explicit data. This tension is also present in maps and displays of spatially referenced data. Collectively, the discipline and supporting agencies are determining an acceptable disclosure risk level. Issues of confidentiality and spatially explicit data become more pressing as additional information is gathered and analyzed. 22 An excellent discussion of the future challenges for population geography can be found in Bruce Newbold’s 2007 book titled Six Billion Plus: World Population in the Twenty-First Century. He outlines five demographic forces that have the potential to shape the world in the 21 st Century: i) Population growth and population decline, ii) The HIV/AIDS Epidemic, iii) International Migration, iv) Refugees and Internally Displaced Persons, and v) Interactions and Conflicts. Clearly, many of the problems faced by society and in scientific study require consideration of the complex patterns in interrelated social, behavioral, economic, and environmental phenomena. The critical issues of the 21st Century, such as economic health, environmental degradation, ethnic conflict, health care, global climate change, and education, embody fundamental geographic dimensions. In particular, an area of current and future importance is the geographic dimensions of vulnerability. These issues also represent opportunities for theoretical and policy relevant research for geographers. Population scientists are grappling with these issues which derive from fundamental questions concerning sustainable population change, human security and welfare, and environmental preservation and conservation. We are moving in the direction of being poised to contribute as society tackles these critical issues. It remains to be seen whether population geographers will engage sufficiently with these questions. Population geography has come of age in the 21st Century. It is no longer a field comprised of spatial applications of fertility, mortality and migration only. Contemporary population geography is theoretically sophisticated. Spatial demography has also come of age. It is equally sophisticated and complex, integrating spatial analysis, geographic information science and geo-referenced data. An important challenge for population geography is to continue to embrace spatial analysis. Many of the perceived short-comings of earlier quantitative methods are negligible or meaningless in the new regime of spatial analysis. As well, spatial demographers need to keep it real. Space is not a container, and the presence of geocoded information does not make a study inherently spatial. Population geographers and spatial demographers, alike, need to keep the geographical epistemology at the forefront. Bibliography Anselin, L. (1988). Spatial econometrics: methods and models. Dordrecht; Boston, Kluwer Academic Publishers. [Classic text on spatial economics] Anselin L. (1995). Local Indicators of Spatial Association - Lisa. Geographical Analysis 27(2), 93-115. [An introduction to the method of local indications for spatial association]. Anselin L. (2003). Spatial Externalities. International Regional Science Review. 26(2), 147-52. [Describes the complexities of incorporating spatial externalities in modeling] Bailey A. (2005). Making Population Geography. New York: Oxford University Press. [Reviews the development of population geography in relation to larger disciplinary shifts] Booth C. (1902). Life and Labour of the People in London (17 Volumes). London: Macmillan and Co. [Provides an example of early demographic study using maps and spatial distributions] Boyle P. (2002). Population geography: transnational women on the move. Progress in Human Geography 26, 531-543. [Provides an assessment of the state of the field of population geography with emphasis on transnational women] Boyle P. (2003). Population geography: does geography matter in fertility research? Progress in Human Geography 27, 615-626. [Reviews fertility research conducted within population geography] Boyle P. (2004). Population geography: migration and inequalities in mortality and morbidity. Progress in Human Geography 28, 767-776. [Reviews mortality research conducted within population geography] Clark W.A.V. (2005). Intervening in the residential mobility process: Neighborhood outcomes for low-income populations. The Proceedings of the National Academy of Sciences 102, 15307-15312. [Assesses the merits of the federal residential mobility program for low-income households] 23 Cliff A.D. and Ord J.K. (1973). Spatial Autocorrelation. New York. Methuen. [A classic text on spatial autocorrelation issues and processes] CSISS. (2008). Classics in Demography. Center for Spatially Integrated Social Sciences. http://csiss.ncgia.ucsb.edu/GISPopSci/resources/classics/ [This website provides information on the CSISS program]. de Castro M.C. (2007). Spatial Demography: An Opportunity to Improve Policy Making at Diverse Decision Levels. Population Research and Policy Review 26, 1573-7829. [Reviews papers using spatial analysis to study fertility, mortality, and population policy] Ellis J.M. and Wright R. (2005). Assimilation and differences between the settlement patterns of individual immigrants and immigrant households. The Proceedings of the National Academy of Sciences 102, 15325-15330. [Innovative measurement of the distribution of immigrants at the household level] Entwisle B. (2007). Putting People into Place. Demography 44, 687-703. [A call for more theoretical development of the causal role of space in local area studies] Fearon D. (2005). Spatial Population Bibliography Report. Center for Spatially Integrated Social Sciences. University of California, Santa Barbara. [Provides statistics on disciplines and methods of recently published spatial demography papers] Forest B. (2005). The changing demographic, legal, and technological context of political representation. The Proceedings of the National Academy of Sciences 102, 15331-15336. [Outlines demographic challenges for political representation] Fotheringham A.S., Brunsdon C. and Charlton M.E. (2000). Quantitative Geography: Perspectives on Spatial Data Analysis. London: Sage Publications. [An important text for introductory spatial quantitative methods] Fotheringham A.S., Brunsdon, C. and Charlton, M.E. (2002). Geographically Weighted Regression: The Analysis of Spatially Varying Relationships. Chichester: Wiley. [Introduces geographically weighted regression] Gaile G.L. and Willmott C.J. (eds.). (1984). Spatial Statistics and Models. Dordrecht: D. Reidel Publishing Company. [A collection of spatial methods representative of the 1980s] Gersmehl P. (2008). Teaching Geography, 2nd Edition. New York: Guilford Publishing. [A primer on the geographic perspective] Getis A. and Ord K. J. (1996). Local spatial statistics: an overview. in Longley P. and Batty M. eds. Spatial analysis: modelling in a GIS environment. New York: Cambridge, 261-277. [A good introductory article for understanding local spatial statistics] Goodchild M.F. and Jannell D.G. (2004). Spatially Integrated Social Science. New York: New York. Oxford University Press. [An overiew of spatially integrated social science by founders of the center at Santa Barbara] Hagerstrand T. (1970). What about people in regional science? Papers of the Regional Science Association 24, 7-21. [Classic article on the analytical integration of time and space in regional science] Hanson S. (2005). Perspectives on the geographic stability and mobility of people in cities. The Proceedings of the National Academy of Sciences 102, 15301-15306. [Emphasizes stability in geographic population studies] Hauser P.M. and Duncan O.D. (1959) The Study of Population: An Inventory and Appraisal. The University of Chicago Press, Chicago. [Presenting a classic and systematic introduction of the primary fields of population studies] Hoover E.M. and Giarratani, F. (1984). An Introduction to Regional Economics (3rd edition). New York: Alfred Knopf. [Classic text introducing concentration index] Hugo G. (2006). Population Geography. Progress in Human Geography 30: 513-523. [Review of state of the art of population geography] Hugo G. (2007). Population Geography. Progress in Human Geography 31: 77-88. [Review of state of the art of population geography] 24 Matthews S. (2004). Population Research Institute at The Pennsylvania http://www.csiss.org/GISPopSci/ [Reference source for classics in spatial demography] State University. Mayhew H. (1861). London Labour and the London Poor, Volumes 1-4. [Early example of mapping and demographic study] Meade M. (1977). Medical Geography as Human Ecology: The Dimension of Population Movement. The Geographical Review 67(4), 379-393.[Foundation article suggests medical-geography as a subfield] National Academies Press. (2006). Learning to think spatially: GIS as a support system in the K-12 curriculum. Washington, D.C., National Academies Press. [Ideas from Panel of experts on spatial education] Newbold K.B. (2007). Six Billion Plus. World Population in the Twenty-First Century. Second Edition. New York: Rowman & Littlefield Publishers. [Providing an overview of thematic population issues in 21 st Century] Openshaw S. (1984). The Modifiable Areal Unit Problem. Norwich: Geo Books. [Classic text on MAUP] Plane D.A. (1987). The geographic components of change in a migration system. Geographical Analysis 19: 283-299. [Provide details on geographic component methods] Plane D.A., Henrie C.J. and Perry M.J. (2005). Migration up and down the urban hierarchy and across the life course. Proceedings of the National Academy of Sciences of the United States of America 102(43), 15313-15318. [Providing a life-course study of mobility across space] Plane D.A. and Rogerson P.A. (1994). The Geographical Analysis of Population with Applications to Planning and Business. New York: John Wiley & Sons, Inc. [Important collection of methods in geographic population analysis] Ravenstein, E.G. (1985). The laws of migration. Journal of the Royal Statistical Society 48,167-227. [Classical account of six laws of migration] Raudenbush S.W. and Bryk A.S. (2002). Hierarchical Linear Models: Applications and Data Analysis Methods. (2nd Ed). Thousand Oaks: Sage Publications. [Advanced text on hierarchical linear models] Rogerson PA and Kim D. (2005). Population distribution and redistribution of the baby-boom cohort in the United States: Recent trends and implications. The Proceedings of the National Academy of Sciences 102, 15319-15324. [Traces the population movements of the babyboom over time] Shryock H.S. (1964). The effectiveness of migration. In Population Mobility within the United States. Chicago: University of Chicago, Community and Family Study Center, 289-294. [Classic text on migration effectiveness] Snow J. (1849). On the Mode of Communication of Cholera, London. [An early account of mapping and demographic analysis] Sweeney S. (2002). Enabling Spatial Demography: Concepts, Tools and Resources. University of Madison, Wisconsin. [Explains the spatial turn in the social sciences] Thornthwaite C.W. (1934). Internal Migration in the United States. Philadelphia, PA: University of Pennsylvania Press. [Classic text is for measuring migration] Tiefelsdorf M., Seliac M., Bhattacharji S., Friedman G.M. and Neugebauer H.J. (eds.) (2000). Modelling Spatial Processes: The Identification and Analysis of Spatial Relationships in Regression Residuals by Means of Moran’s I. Berlin: Springer. [Provides a sophisticated overview of spatial models] Tobler, W. (1970). A computer movie simulating urban growth in the Detroit region. Economic Geography, 46(2), 234240. [Classic article contains first law of geography] Trewartha, G.T. (1953). A Case for Population Geography. Annals of the Association of American Geographers 43 (2), 71-97. [Presidential address on population geography to the Association of American Geographers] VanWey L.K., Rindfuss R.R., Gutmann M.P., Entwisle B. and Balk D.L. (2005). Confidentiality and spatially explicit data: concerns and challenges. The Proceedings of the National Academy of Sciences 102, 15337-15342. [Reviews the tensions between data access and privacy] 25 Voss P.R., Curtis White K.J. and Hammer R.B. (2004). The (Re-)Emergence of Spatial Demography. CDE Working Paper No. 2004-04. Center for Demography and Ecology. University of Wisconsin- Madison. [Provides an overview of spatial demography in Sociology] Wachter K.W. (2005). Spatial demography. Proceedings of The National Academy of Sciences of The United States of America 102, 15299-15300. [Editorial introduction to special issue] Warntz W. (1964). A new map of the surface of population potentials for the U.S.1960. Geographical Review 54, 170184. [Classic article for measuring population potentials] Weeks J.R. (2004).What did he know, and when did he know it? Putting Glenn Trewartha's call for population geography into historical perspective. Forum: fifty years since Trewartha. Population, Space and Place 10 (4), 279283.[Provides the historical context of Trewartha’s presidential address] Weeks, J. (2004). The role of spatial analysis in demographic reseach. Chapter 19 in Goodchild M.F. and Janelle D.G. [Editors]. Spatially Integrated Social Science. New York, NY: Oxford University Press. [Describes contribution of spatial analysis for demographic study] Westert G.P. and Verhoeff R.N. (1997). Places and People: Multilevel Modelling in Geographical Research. Utrecht: The Royal Dutch Geographical Society. [A mid-level text on multilevel modelling] Wilbur G.W. (1963). Migration expectancy in the United States. Journal of the American Statistical Association 58, 444-453. [A classic article on migration expectancies] Wright J.K. (1936). A Method of Mapping Densities of Population: With Cape Cod as an Example, Geographical Review 26,103-110. [An early example of mapping in demographic research] Wright R.A. and Knight P.L. (1988). Dynamic Shift-share Analysis, Growth and Change 19, 1-10. [Providing a dynamic application of the shift-share method] Zelinsky W. (1966). A Prologue to Population Geography. Englewood Cliffs, N.J.: Prentice-Hall. [A classic text in population geography] 26