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.     

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.     

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.     

La métropolisation à l’aune de la ‘loi’ taille/rang : Le cas Canadien, 1971–2001

Metropolization and the rank/size ’law‘: the Canadian case, 1971–2001 There is currently considerable interest in the process of metropolization. One of the consequences of this process, observed by numerous researchers, is the slower growth and even decline of small and medium cities. From a theoretical point of view, this process is compatible with endogenous growth theory: metropolitan areas offer economic actors certain key factors (access to information, to global networks, etc.) that smaller cities cannot. Concurrently, however, there is a resurgence of interest in Zipf's law and, more generally, in the stability of urban hierarchies. These two bodies of work appear to be in contradiction. However, using Canadian data from 1971 to 2001, we show that whilst metropolization is indeed occurring, this is not necessarily incompatible with a regular urban hierarchy. Indeed, if it is assumed that Zipf's rank‐size rule applies to urban systems in stable socio‐economic contexts, and that this regularity can be disrupted by fundamental social and economic changes, then the current wave of metropolization can be interpreted as a re‐ordering of cities in the face of the major social and economic changes of the 1980s and 1990s, which may eventually lead to a new equilibrium compatible with Zipf's law.     

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.     

City Size Distribution Analyses Based on the Concept of Entropy Competition

The present work pursues theoretical and empirical objectives. With regards to the former, it is demonstrated that the natural tendency to uniformity of both the probability distribution of a city to have a certain number of inhabitants and that of a person to reside in a town of a given number of citizens leads to a competition between their information entropies, which provides the power law distribution as the most probable one for city size. It is also shown that Zipf's law reflects the significant control of the existence of interconnections between cities on the self-organization of their size. With regards to the empirical objectives, based on population data of European countries and Italian municipalities, the theoretical approach proposed is validated. At the Italian scale, city distribution is shown to be a power law for cities above 10,000 inhabitants. In the 20 Italian regions, the breakpoint in the distribution is generally lower. Finally, the geographical control on city distribution is discussed based on the results achieved in some regions.     

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.     

Spekulation und Physik im 18. Jahrhundert. Lomonossow,Kant und Lavoisier in Sachen Erhaltungsgesetz und Äther

As far as the law of preservation of matter and the existence of ether are concerned, Kant, Lomonossow and Lavoisier had very similar views. Nevertheless, according to historical evidence they worked out their theories never taking each other's results for granted. Whereas it is well known that Lavoisier did not base his experiments on the former ones by Lomonossow, it has been argued that Kant based his philosophy of nature on Lavoisier's experiments. I try to show here, that Kant had his philosophy of nature done, prior to Lavoisier's Elements of Chemistry. Further that the only one to have been able to influence Kant was not Lavoisier but Lomonossow. But Kant never mentioned Lomonossow. There is strong evidence that the similarity of views in Kant, Lomonossow and Lavoisier is not due to any kind of interaction between them. This also holds of the (same) mistakes, which Kant and Lomonossow made. The only substantial difference is that Kant thought, that some laws of nature may be logically inferred without experiments.     

Zones of Influence of Middle-Size Cities,Their Boundaries and Passenger Flows

A modified gravity model is used to describe the flows of commuters between a central city and concentric zones around it. A multiplier-type model of a central-place system (after Christaller) is then used to calculate the number of residents for service centers at each level of the hierarchy within the system. The rank-size rule (Zipf's formula) is also considered as a criterion of a true system of urban places. Results are presented for the urban network of the Ukraine.     

Size does matter: methodological comments on sieve size and species richness in fishbone assemblages

Vale and Gargett (J. Archaeol. Sci. 29 (2002) 57) discuss the finds from sieving experiments through 6 mm, 3 mm, and 1 mm mesh sizes from Arrawarra-I, a coastal midden site in Australia. They claimed that the relationship between sieve mesh size and both taxonomic richness and abundance is not straightforward. We reanalyzed Vale and Gargett's data to estimate species richness in larger sample sizes. By fitting logarithmic series to the data, we calculated the alpha diversity, and used that statistics to predict number of species expected at a given sample size. This statistical method is called “the equivalent alpha diversity method for abundifaction”. We demonstrate that taxonomic diversity would have been higher (14 species rather then 10) for an NISP of 2000 bones, sieved through a 1 mm mesh. We also demonstrate that Vale and Gargett's conclusion is flawed due to their small sample size (432 identified bones out of 60,000), inadequate sampling methods and poor analytical methodology. By using Vale and Gargett's data, we reach the opposite conclusion, and show that the use of 3 and 1 mm mesh sieves is indeed important in measuring diversity of archaeological assemblages in general, and of fish assemblages in particular.     

The ‘Society’ at Bora Ceremonies: A Manifestation of a Body of Traditional Law and Custom in Aboriginal Australia relevant to Native Title Case Law

Anthropologists working on native title cases in Australia are commonly asked to identify the Aboriginal ‘society’ that holds the body of laws and customs that confer land ownership rights on certain groups of people. In this paper I investigate how the early documentation of bora initiation ceremonies is relevant to understanding contemporary Aboriginal societies and the normative laws and customs that give rise to rights and interests in land. The vast ethnographic oeuvre of R.H. Mathews (1841–1918) includes detailed documentation of bora gatherings, which allows the reconstruction of the wider social reaches of people's networks in the lower Darling Downs of eastern Australia, and can in turn be understood as the ‘society’ so often sought in current native title case law.     

Young Mr. Lincoln in Ford's Theater

In Young Mr. Lincoln, director John Ford and screenwriter Lamar Trotti engage an issue that is central to Ford's films and to Lincoln's political thought. That issue is the tension between individual greatness and the rule of law, a tension heightened in a democracy by the demos's passion for equality. In the film's portrayal of Lincoln, Ford and Trotti suggest a solution to this tension that is fundamentally consistent with the one Lincoln suggested in the Lyceum Address. To remain within the political community, the great man must hold a sincere reverence for the law and be willing to exhibit humility in declaiming his own superiority. In the context of these characteristics, greatness can be a force that preserves the law and protects the community from harm. The film depicts Lincoln as the paradigmatic combination of these characteristics and alludes to his mature leadership based on these commitments in his later career.     

Sir Charles Grandison,Natural Law and the Fictionalised English Gentleman

This article enquires into the relation between enlightened humanist conceptions of natural law and the period novel's fictionalization of the English gentleman in the context of its marriage plot. Marriage played a key role in enlightened theorisations of natural law precisely as an institution capable of grounding familial and civil life in an emerging concept of human nature. Yet public debate about the state's role in the regulation of marriage in mid-eighteenth-century England demonstrates that natural law lent itself to very different models of sovereignty and governance. The antinomies that characterized natural law's circulation in the English context are uniquely fictionalized in Samuel Richardson's last novel, Sir Charles Grandison (1753–54), a lengthy parallel narrative of failed courtship and matrimonial felicity that draws upon Pufendorf's model of natural law, yet is only partly implicated in its secular humanism. The novel's eponymous gentleman hero – a ‘Man of Religion and Virtue’ – exemplifies a mix of Anglican piety, civic virtue and disinterested sympathy that is sanctioned by natural law and sealed by the English marriage plot.     

Richard Oastler,Toryism, Radicalism and the Limitations of Party,c.1807–46

Richard Oastler (1789–1861), the immensely popular and fiery orator who campaigned for factory reform and for the abolition of the new poor law in the 1830s and 1840s, has been relatively neglected by political historians. Few historians, however, have questioned his toryism. As this article suggests, labelling Oastler an ‘ultra‐tory’ or a ‘church and state tory’ obscures more than it reveals. There were also radical strands in Oastler's ideology. There has been a tendency among Oastler's biographers to treat him as unique. By comparing Oastler with other tories – Sadler, Southey, and the young Disraeli – as well as radicals like Cobbett, this article locates him much more securely among his contemporaries. His range of interests were much broader (and more radical) than the historiographical concentration on factory and poor law reform suggests. While there were periods when Oastler's toryism (or radicalism) was more apparent, one of the most consistent aspects of his political career was a distaste for party politics. Far from being unique or a maverick, Oastler personified the pervasive anti‐party sentiments held by the working classes, which for all the historiographical attention paid to popular radicalism and other non‐party movements still tends to get lost in narratives of the ‘rise of party’.     

Behçet Kemal Çağlar's Kur’ân‐ı Kerîm'den İlhamlar (Inspirations from the Holy Qur’ān): A Kemalist's Personal,Poetic Response to the Qur’ān

Behçet Kemal Ça?lar, 1908–1969, is the author of a commentary of the Qur’ān, Kur’ân‐? Kerîm'den ?lhamlar (‘Inspirations from the Holy Qur’ān’), published in 1966. This work can be described as a poetic reflection on the Qur’ān. It does not adhere to rendering every line or verse, but instead insists on maintaining a rhythmic cadence and end‐rhyme. Although it resembles a translation in some ways, Ça?lar refuses to call his work a translation. This paper begins by introducing Ça?lar and his text, a brief history of Turkish translations of the Qur’ān, then Ça?lar's approach is contrasted with the aims of translators of the Qur’ān. Ça?lar's text is studied in more detail, providing a sample of the Turkish text and a translation of it into English, focusing on Ça?lar's reflection on Sūrat ?aha. Through this study, it becomes clear that as a result of his prioritizing the literary aspects of the Qur’ān in his reflection, Ça?lar's book has an advantage over literal translations of the Qur'an and it can be useful for Qur’ān translation. At the same time, Ça?lar's book is a reflection of a desire to develop a Turkish Islam—a manifestation of Islam that came from Turkey, that reflected its language and culture and that was intelligible to its people.     

Intimacies of global toxins: Exposure & resistance in ‘Chemical Valley’

This paper examines the geopolitics of the Aamjiwnaang First Nation's reserve, situated in a toxic petrochemical complex known as Canada's ‘Chemical Valley.’ While this reserve holds the perilous title of worst air-pollution in the country, research exploring the profound impacts that this toxic environment has on Indigenous communities remains limited and tends to resort to simplistic framings. In this paper we suggest that Michel Foucault's concept of the ‘heterotopia’ is a helpful prism through which to view Aamjiwnaang in more complex, political terms. We also suggest, however, that this prism has a limited scope when it comes to exposing intimate experiences of global toxins. Drawing on a feminist geopolitics, we seek to stretch Foucault's heterotopic approach in order to show how the reserve is intimately colonized and contaminated by Canada's chemical production. Vitally, our approach gleans insight into the everyday ways that Aamjiwnaang is governed by and also disrupts colonial configurations. Moreover, our paper illuminates how a feminist heterotopic approach can re-orient research towards a deepened understanding of Indigenous-led modes of environmental justice.     

JURY DECISION MAKING MODELS AND THE SUPREME COURT: THE JURY CASES FROM WILLIAMS v. FLORIDA TO BALLEW v. GEORGIA*

This article analyzes recent U.S. Supreme Court decisions in cases relating to the size and unanimity of juries as an example of the use (and abuse) of social science by the Court in the realm of policy analysis. The four cases reviewed “cast an unflattering light on the U.S. Supreme Court's ability to integrate social science findings into public law.”     

THE NUMBER‐AVERAGE SIZE RULE: A NEW EMPIRICAL RELATIONSHIP BETWEEN INDUSTRIAL LOCATION AND CITY SIZE*

ABSTRACT The spatial intensities of both industries and population are highly uneven across space. Moreover, these intensities differ not only across industries, but also change through time. Nevertheless, we show using Japanese data for metropolitan areas in two time periods that the location intensities of both industries and population are linked by surprisingly simple and persistent patterns. In particular, we identify a strong negative log‐linear relation between the number and the average (population) size of metro areas in which a given industry is found. This relation, which we designate as the Number‐Average Size (NAS) Rule, is also shown to be intimately connected to both the Rank‐Size Rule and Christaller's (1966) Hierarchy Principle applied to metropolitan areas. In particular, we show mathematically that in the presence of the Hierarchy Principle (which holds quite well in Japan) this NAS Rule is essentially equivalent to the Rank Size Rule.     

Minority–Majority Relations in the Schelling Model of Residential Dynamics. 住宅动态迁移Schelling模型中的少数‐多数关系

The Schelling model describing segregation between two groups of residential agents, reflects the most abstract, basic view of noneconomic forces motivating residential migrations: be close to people of “your own” kind. The model assumes that residential agents, located in neighborhoods where the fraction of “friends” is less than a predefined threshold value F, try to relocate to neighborhoods where this fraction is F or higher. For groups of equal size, Schelling's residential pattern converges either to complete integration (random pattern) or segregation, depending on F. We investigate Schelling model pattern dynamics as a function of F in addition to two other parameters—the ratio of groups' numbers, and neighborhood size. We demonstrate that the traditional integration–segregation pattern dichotomy should be extended. In the case of groups of different sizes, a wide interval of F‐values exists that entails a third persistent residential pattern, one in which a portion of the majority population segregates while the rest remains integrated with the minority. We also demonstrate that Schelling model dynamics essentially depend on the formalization of urban agents' residential behavior. To obtain realistic results, the agents should be satisficers, and the fraction of the agents relocating irrespective of the neighborhood's state should be nonzero. We discuss the relationship between our results and real‐world residential dynamics.     

K. H. RAU AND THE ECONOMIC LAW OF MARKET AREAS*

It is well-known that the economic law of market areas was first discovered by Launhardt (1882, 1885, 1900-1902) in Europe and independently discovered by Fetter (1924) in the United States. This paper shows that the seeds of the law of market areas are contained in a letter of K. H. Rau to M. Quintelet published in 1841, and that Rau's name deserves to be mentioned alongside those of Launhardt, Cheysson, and Fetter, as writers who contributed substantially to the developments of the law of market areas.