1947
DOI: 10.2307/211132
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Empirical Mathematical Rules concerning the Distribution and Equilibrium of Population

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Cited by 257 publications
(92 citation statements)
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“…Over time, as societies scaled up, the populations of some central places became the first cities, increasing in density, wealth, inequality, social organization, cultural accumulation, and importance in focusing and guiding subsistence exchange processes across regions (von Thu¨nen and Schumacher-Zarchlin 1875, Christaller 1933, Stewart 1947, Redman 1999, M. E. Smith 2004, Barbier 2010, Therborn 2011, Verburg et al 2011, Rivers et al 2013, Ortman et al 2014, M. L. Smith 2014, Ortman et al 2015. The density of cities in itself provides advantages through the economies of scale, increasing opportunities for wealth creation, cultural innovation, and social connectivity, while at the same time increasing demands for energy to sustain this concentration of resources and increasing potential for disease (Redman 1999, Bettencourt 2013, Ortman et al 2014.…”
Section: Social Upscaling Centrality and Urbanizationmentioning
confidence: 99%
“…Over time, as societies scaled up, the populations of some central places became the first cities, increasing in density, wealth, inequality, social organization, cultural accumulation, and importance in focusing and guiding subsistence exchange processes across regions (von Thu¨nen and Schumacher-Zarchlin 1875, Christaller 1933, Stewart 1947, Redman 1999, M. E. Smith 2004, Barbier 2010, Therborn 2011, Verburg et al 2011, Rivers et al 2013, Ortman et al 2014, M. L. Smith 2014, Ortman et al 2015. The density of cities in itself provides advantages through the economies of scale, increasing opportunities for wealth creation, cultural innovation, and social connectivity, while at the same time increasing demands for energy to sustain this concentration of resources and increasing potential for disease (Redman 1999, Bettencourt 2013, Ortman et al 2014.…”
Section: Social Upscaling Centrality and Urbanizationmentioning
confidence: 99%
“…On the basis of literature survey one can identify fi ve groups of methods: -infrastructure-based accessibility measure-the regional infrastructure equipment is evaluated by its quantity and quality and the level of congestion; this approach is relatively widely used in national transport policy plans; however, it fails to recognize the destinations located far away from the region, -distance-based accessibility measure (travel-cost accessibility)-distance, time or cost of travel where the activity is sought (a single destination or a set of destinations), e.g., the average or total travel time between given origin and destination points in the network (cities with the population over 500 thousand inhabitants, etc. ), -isochronic-based accessibility measure (daily accessibility)-assessment of set of destinations available in particular travel distance, time or cost from the origin, e.g., the use of isochrones (lines of equal travel distance, time or cost) for measurement of accessibility to activities in a 15,30,45,60 minutes time from the place of origin, -potential-based (gravity-based) accessibility measure-the most popular one; accessibility is measured by the number of activities (opportunities) which can be reached in a certain distance, time or effort weighted by the travel distance, time or effort to do so; the concept of potential has been introduced by the social physics school and was applied by Stewart (1947) in a study on population distribution and devised by Hansen (1959) in the context of accessibility to opportunities; the concept of potential of interactions between the origin and the set of destinations is widely used (also in IGSO PAS) and the potential analysis has spawned a number of different approaches and models, -person-based accessibility measure-analyzing accessibility at the individual level; this package of measures is founded in the space-time geography and includes spacetime-geography-based and utility-based accessibility measures; the models take into account the individual behaviour of the transport network user and focus on the person's ability to contribute in activities through space and time; person-based accessibility measure, although mathematically advanced and commonly used in the western countries at the micro level (e.g. in metropolitan areas), are not suitable for using at the national level due to the lack of data; for that reason, we use in the IGSO PAS fi rst four measures which are easier to calculate and give the possibility to evaluate the ease of reaching the destinations in a certain distance, time or cost; in our models we use travel time in the distance-decay function.…”
Section: Methodsmentioning
confidence: 99%
“…Our first two regressors are derived from spatial interaction principles. Following the definition of population potentials (Fotheringham & O'Kelly, 1989;Stewart, 1947) we define for each region i the opportunity for moving out of the region (O i ) and then its relative attractiveness (A i ). Both derive from populations (P i , P j ) and interregional Euclidean distances (d ij ).…”
Section: Border Vs Spatial Interaction Effectsmentioning
confidence: 99%