THE EVOLUTION OF U.S. CITY SIZE DISTRIBUTION FROM A LONG‐TERM PERSPECTIVE (1900–2000)*

ABSTRACT This paper analyses the evolution of city size distribution in the United States throughout the twentieth century. It tests the validity of two empirical regularities studied in urban economics: Zipf's law (the rank‐size rule), and Gibrat's law, or the law of proportionate growth. The main contribution of this work is the use of a new database with information on all the cities (understood as incorporated places), without size restrictions. Our results enable us to confirm that Gibrat's law holds (weakly), and that Zipf's law holds only if the sample is sufficiently restricted at the top, not for a larger sample.     

The Size Distribution of Cities and Determinants of City Growth in Turkey

The aim of this study is two-fold. Firstly, this study examines the size distribution of cities by using Zipf's law. The second objective of this study is to investigate the effects of determinants of urban growth in Turkey by using the data for the 1980–2007 time period. The main findings of the study show that there is some evidence that Zipf's law holds in Turkey. Moreover, according to the rank-minus-half rule, the results suggest stronger support for Zipf's law in size distribution of the cities. Furthermore, the regression results indicate that fertility rate, location of the city, migration, agglomeration in services and specialization in manufacturing industry have positive impact, whereas schooling rate has a negative effect on growth of the urban population regarding Turkey.     

Population,light, and the size distribution of cities

We provide new insights on the city size distribution of countries around the world. Using more than 10,000 cities delineated via geospatial data and a globally consistent city identification scheme, we investigate distributional shapes in all countries. In terms of population, we find that Zipf's law holds for many, but not all, countries. Contrasting the distribution of population with the distribution of economic activity, measured by nighttime lights, across cities we shed light on the globally variant magnitude of agglomeration economies. Deviations from Zipf's law are to a large extent driven by an undue concentration in the largest cities. They benefit from agglomeration effects which seem to work through area rather than through density. Examining the cross‐country heterogeneity in the city size distribution, our model selection approach suggests that historical factors play an important role, in line with the time of development hypothesis.     

OLS ESTIMATION AND THE t TEST REVISITED IN RANK‐SIZE RULE REGRESSION*

ABSTRACT The rank‐size rule and Zipf's law for city sizes have been traditionally examined by means of OLS estimation and the t test. This paper studies the accurate and approximate properties of the OLS estimator and obtains the distribution of the t statistic under the assumption of Zipf's law (i.e., Pareto distribution). Indeed, we show that the t statistic explodes asymptotically even under the null, indicating that a mechanical application of the t test yields a serious type I error. To overcome this problem, critical regions of the t test are constructed to test the Zipf's law. Using these corrected critical regions, we can conclude that our results are in favor of the Zipf's law for many more countries than in the previous researches such as Rosen and Resnick (1980) or Soo (2005) . By using the same database as that used in Soo (2005) , we demonstrate that the Zipf law is rejected for only one of 24 countries under our test whereas it is rejected for 23 of 24 countries under the usual t test. We also propose a more efficient estimation procedure and provide empirical applications of the theory for some countries.     

Refractions and recombinations of the ‘economic’ and the ‘social’: a personalized reflection on challenges by—and to—feminist urban geographies

This invited essay responds to requests by the Suzanne Mackenzie Memorial Lecture Nominating Committee and by the former Editor of this journal to take stock of and provide intellectual‐historical context for the major preoccupations that characterized feminist urban geography in its early years, by means of a personalized reflection in light of the author's own positioning in those debates and interventions. The thread running through the article is that of the relationship between the ‘economic’ and the ‘social’ in urban geography. The last section briefly considers new challenges that neoliberalism poses for critical feminist urban geographies.     

“I spent the first year drinking tea”: Exploring Canadian university researchers’ perspectives on community‐based participatory research involving Indigenous peoples

Community‐based participatory research (CBPR) is generally understood as a process by which decision‐making power and ownership are shared between the researcher and the community involved, bi‐directional research capacity and co‐learning are promoted, and new knowledge is co‐created and disseminated in a manner that is mutually beneficial for those involved. Within the field of Canadian geography we are seeing emerging interest in using CBPR as a way of conducting meaningful and relevant research with Indigenous communities. However, individual interpretations of CBPR's tenets and the ways in which CBPR is operationalized are, in fact, highly variable. In this article we report the findings of an exploratory qualitative case study involving semi‐structured, open‐ended interviews with Canadian university‐based geographers and social scientists in related disciplines who engage in CBPR to explore the relationship between their conceptual understanding of CBPR and their applied research. Our findings reveal some of the tensions for university‐based researchers concerning CBPR in theory and practice.     

The Old and the New: Qualifying City Systems in the World with Classical Models and New Data

Zipf's rank‐size rule, lognormal distribution, and Gibrat's urban growth models are considered as summarizing fundamental properties of systems of cities. In this article, they are used as statistical benchmarks for comparing the shapes of urban hierarchies and evolutionary trends of seven systems of cities in the world including BRICS, Europe, and United States. In order to provide conclusions that avoid the pitfalls of too small samples or uncontrolled urban definitions, these models are tested on some 20,000 urban units whose geographically significant delineations were harmonized in each country over 50 years between 1960 and 2010. As a result, if the models appear not always statistically valid, their usefulness is confirmed since the observed deviations from empirical data remain limited and can often be interpreted from the geohistorical context of urbanism proper to each world region. Moreover, the article provides new free software which authorizes the reproducibility of our experiments with our data bases as well as with complementary data.     

From nation to population: the racialisation of ‘Métis’ in the Canadian census†

ABSTRACT. Between 1996 and 2001 the ‘Métis population’ of Canada skyrocketed from 204,000 to 292,000, an astonishing and demographically improbable increase of 43 per cent. Most puzzling about this ‘increase’ is not so much the unpersuasive explanations offered by statisticians and others but, more fundamentally, the underlying assumption that such a thing as a ‘Métis population’ exists at all. In contrast, I argue that such an idea constitutes an artifact of Canada's racial/colonial episteme in which ‘the Métis’– formerly an indigenous nation invaded and displaced in the Canadian nation‐state's westward expansion – have been reduced in public and administrative discourse to include any indigenous individual who identifies as Métis: reduced, in other words, to (part of) a race. The paper argues further that the authority of the Canadian census as a privileged forum of contemporary meaning‐making in Canadian society is such that the lack of explicit Census categories to distinguish Métis Nation allegiance further naturalises a racialised construction of Métis at the expense of an indigenously national one.     

Neither ‘America’ nor ‘Québec’: constructing the Canadian multicultural nation

ABSTRACT. Although researchers have deconstructed the myth of stark social differences between the various North American sub‐societies, an assimilating American melting pot and an ethnically oppressive monocultural Québec are still popular representations within Canadian majority discourses, such as the English‐language mainstream media and parts of academia. In this paper, I argue that images of ‘America’ and ‘Québec’ play important roles for the multicultural reconstruction of Canadian nationhood. Examining selected op‐ed articles from two Toronto‐based mainstream newspapers during the 1990s, I develop and exemplify a theoretical understanding of how national identities are constituted and transformed within inter‐ and intra‐national relations of power and alterity. I pay special attention to the particularisation of Canada through the confrontation with American nationhood, the ambiguities of recognising the distinctiveness of Québec inside Canada, and the consequences of projecting Québec's supposedly ‘ethnic’ nationalism outside the boundaries of Canadianness.     

Economic growth and restructuring in Canada's heartland and hinterland: From shift‐share to multifactor partitioning

The geography of the Canadian economy has long been dominated by heartland‐hinterland contrasts, with manufacturing identified as the dominant function of most heartland cities in analyses of the 1961 and 1971 census data. However, the proportion of employment in manufacturing has been declining in the heartland provinces of Ontario and Quebec over the past fifty years and some geographers argue that the heartland‐hinterland dimension of the regional economy is being overridden by city‐regions that are integrated into global networks of production and trade. The heartland‐hinterland trends are examined using multifactor partitioning (MFP), an advanced shift‐share methodology, for the period of 2001–2006. This is the first intercensal period in which Canadian business has faced the full impact of the removal of North American tariff protection and the increased globalization of the Canadian economy. The data covers employment by eighteen industry sectors for the seventy‐three economic regions defined by Statistics Canada. MFP measures the region and industry‐mix effects, which are interpreted as in the traditional shift‐share model (though they are derived more accurately) and, in addition, an interaction effect. The results demonstrate that the broad heartland‐hinterland differences in the distribution of population and employment growth are increasing not decreasing and that the hinterland is in fact falling further behind the heartland in employment growth. However the Calgary‐Edmonton corridor and the Lower Mainland of British Columbia are emerging as a western heartland. The population size of cities does affect their rates of employment growth, but so too does their location: the growth of heartland cities is outpacing those in the hinterland. The Appendix provides the equations for two‐variable multifactor partitioning.     

Une histoire de résidus : à propos des facteurs généraux et locaux de croissance régionale au Canada,de 1971 à 2001

Starting from an econometric model of local employment growth, applied to Canada (1971–2001), residuals—relative to model predictions—are analyzed over time and over space, in turn allowing us to draw a distinction between general explanatory variables and factors of a more local, cyclical or accidental nature. The model's explanatory power grows over time, founded on variables such as urban size, market access and industrial structure, allowing us to conclude that local employment growth in Canada follows an increasingly geographically predictable pattern. However, an examination of the residuals reveals more localized processes. Growth volatility is most manifest in Alberta and British Columbia, home to the most erratic local economies. Emerging patterns are visible in the last period, most notably the underperformance of Northern Ontario and of non‐metropolitan communities between Windsor and Québec City, lying along the Great Lakes and the Saint Lawrence. The over‐performance—compared to model predictions — of small and mid‐sized towns in south‐eastern Québec can, on the other hand, be interpreted as a sign of truly local social processes, generally associated with a particularly dynamic local entrepreneurial class.     

Are new patterns of low‐income distribution emerging in Canadian metropolitan areas?

Recent studies on urban poverty in Canadian cities suggest a growing spatial concentration of poor populations within metropolitan regions. This article assesses trends in the intra‐urban distribution of the poor population from 1986 to 2006 in eight of Canada's largest cities. We consider five well‐known dimensions of segregation, as identified by Massey and Denton (1988) , in order to examine changes in the spatial distribution of poor populations within metropolitan areas: evenness, exposure, concentration, clustering, and centralization. These indices were calculated for low‐income populations at the census tract level using data from five Canadian censuses. Although each metropolitan area has distinctive characteristics, we were able to identify some general trends. The results suggest that, in 2006 compared to 1986, low‐income populations lived in more spatially concentrated areas, which were, at the same time, socioeconomically more homogeneous and more dispersed throughout the metropolitan area. In addition, we observed that over the last twenty years areas of poverty have been located, for the most part, in neighbourhoods adjacent to downtown cores. Nevertheless, we found that poverty has mostly increased in suburban areas located outside inner‐city neighbourhoods. Growing socioeconomic homogeneity and dispersion of low income areas in metropolitan areas reveal new spatial patterns of urban poverty distribution. These findings should be cause for concern as social isolation in the most disadvantaged neighbourhoods could affect the life chances and opportunities for the residents of those areas.     

Historical limits: narrowing possibilities in ‘Ontario's most historic town’

Place branding in heritage tourism development is presented as a strategy that opens up new possibilities for attracting investors and visitors by distilling, capturing and shaping what is distinctive about a place. This representational fix is an efficient marketing device in the sense that it represents places through widely intelligible symbols. Branding is also a limiting activity that locks places in time and class relations. While place branding has always had this dual effect, we argue that it has particularly insidious and limiting consequences for local development under current conditions of roll‐out neoliberalism. Beginning in the 1960s, several prominent residents and outsiders initiated efforts to transform the Town of Cobalt, Ontario, into a mining heritage tourism destination. In 2001, the town entered and won a contest to be named Ontario's Most Historic Town. The following year it persuaded Parks Canada to designate it as a national historic site. These two events provided renewed external validation for the efforts to brand Cobalt as a heritage site and began a new cycle of mining heritage tourism development. However, instead of breaking the dependency relationships that characterize resource regions, the current round of place branding has acted to circumscribe the range of possible economic development options.     

Gibrat Revisited: An Urban Growth Model Incorporating Spatial Interaction and Innovation Cycles. 再评吉尔布瑞特：顾及空间相互作用和创新周期的城市增长模型

We designed a geographical model for simulating the distribution of urban growth in systems of cities. The model incorporates the hierarchical and spatial diffusion of innovation cycles through gravitational interactions within a set of cities. Using theoretical simulations, we demonstrate that this model is able to reproduce the observed properties of urban systems for the log‐normal distribution of city sizes as well as the observed distribution of growth rates. Our experimentation was performed on a large harmonized historical database that includes a few hundred French urban agglomerations between 1831 and 1999 (Pumain‐INED database). Both spatial interaction and innovation cycles are necessary ingredients to explain the evolution of urban hierarchies. We suggest that Gibrat's generic stochastic growth model based on independent entities should be replaced by a more relevant model of spatially and temporally interdependent geographical entities.     

The urban in fragile,uncertain, neoliberal times: towards new geographies of social justice?

Canadian cities are at a crossroads. The neoliberalization of governance at multiple scales, inadequate re-investment in urban infrastructure, increasing reliance on continental and international trade, and the restructuring of the space economy have combined to weaken Canada's cities just as the global economic system is undergoing transformation. Canadian urban geographic scholarship has much to offer under current conditions, and is already making significant contributions in key areas. In particular, research on what might be called the contours and impacts of urban restructuring and the neoliberal city, immigration and cities of difference, and urban environmental justice show much promise and are likely to define the core of Canadian urban geography into the future.     

Fringe explosions: risk and vulnerability in Canada's new in‐between urban landscape

This article argues that a new landscape of urbanization takes shape in Canadian cities. In‐between the old downtowns and the new suburbs of urban Canada, a hitherto underexposed and under‐researched mix of residential, commercial, industrial, educational, agricultural and ecologically protected areas and land uses has become the home and workplace, and increasingly also the playspace of most people in Canada. The article examines this new landscape through the lens of the specific risks and vulnerabilities experienced by its inhabitants and users. Using a propane gas explosion in Toronto in the summer of 2008 as an example, we demonstrate that the ‘in‐between city’ is a space of great complexity, which has grown haphazardly and in a contradictory fashion, where, in contrast to the archetype of inner city and suburb, no clear spatial imaginary has been guiding urban development. This leads to always uncomfortable and sometimes dangerous proximities between various and competing uses and social practices. This is nowhere as clear as it is in the splintered urban infrastructures that service this landscape or use the in‐between city's space to service other adjacent or distant purposes.     

Building intersectoral partnerships as place‐based strategy for immigrant and refugee (re)settlement: The Ottawa Local Immigration Partnership

This paper examines the role of the Ottawa Local Immigration Partnership in the Syrian refugee resettlement in Canada's national capital following the federal government's 2015–2016 resettlement plan. Based on the findings of qualitative data collection—including semi‐structured interviews with representatives from community organizations, settlement agencies, and the City of Ottawa—two main arguments are advanced. First, while the current literature tends to portray the Canadian settlement sector as a passive victim in the face of neoliberal restructuring and austerity measures, this paper offers a more nuanced perspective by reflecting on the sector's ability to exert agency by developing initiatives and devising strategies that are rooted in the local context. Second, the case of the Ottawa Local Immigration Partnership sheds light on the significance of intersectoral networks and partnerships that extend beyond the settlement sector to build a sound approach for welcoming refugees and newcomers more generally. These findings serve to demonstrate the potential of partnerships as a place‐based settlement model that is responsive to context‐specific needs and enhances local community strengths, thus providing important lessons that can inform future immigrant and refugee (re)settlement and integration in other Canadian cities and regions.     

Geographies of capital formation and rescaling: A historical‐geographical approach to the food desert problem

Although the “food desert” concept has captured the public imagination and spurred public policy efforts in many North American cities, the term has been critiqued by academics for being definitionally and methodologically vague, and for providing an incomplete picture of the complexity of food access. Rather than dismiss the study of urban, inner‐city food deserts, however, scholars can study disparities in retail food access through a historical, critical political economy lens to understand underserved retail landscapes as a product of capital formation and rescaling over time. The purpose of this article is to conduct such an analysis, using the case study of a low‐income community in Kingston, Ontario. Using historical research and qualitative interviews, the major finding of this analysis is that the physical accessibility of retail food appears to have declined over time in relation to the capitalization of the retail food sector. An imperfect relationship can be outlined over three phases of Canadian urban economic history to suggest that the food desert problem emerged largely in the transition from a decentralized, small‐scale, and neighbourhood‐embedded retail food industry to the scaled‐up, disembedded industry that now dominates the landscape. This industry‐level rescaling is contributing to a new urban politics of class and consumption through subtle, everyday activities such as food shopping.     

Differences in hi‐tech immigrant earnings and wages across Canadian cities

This paper examines the relative earnings and wages of immigrants working in the hi‐tech sector in Canada's cities. Between 1990 and 2000, a sizeable earnings advantage of immigrants over nonimmigrants employed in the hi‐tech sector evaporated, and this change was most noticeable in the largest cities. We use population census microdata to examine the geographical dimensions of this shift. After controlling for individual characteristics, we show that immigrants in the largest and tech‐intensive cities earn significantly less relative to nonimmigrants than those in midsized and smaller cities. We also present results comparing the hi‐tech immigrant wage and earnings gap for the five largest Canadian cities. The findings are consistent with the notion that geographic differences are an important component of the overall earnings gap between immigrants and nonimmigrants.