Urban sprawl (dispersed urban development) has increased at alarming rates in Europe and North America over the last 50 years. Quantitative data are urgently needed in monitoring systems for sustainable development. However, there is a lack of reliable measures of urban sprawl that take into account the spatial configuration of the urban areas (not just total amount). This paper introduces four new measures of urban sprawl: degree of urban dispersion (DIS), total sprawl (TS), degree of urban permeation of the landscape (UP), and sprawl per capita (SPC). They characterize urban sprawl from a geometric point of view. The measures are related through TS = DIS x urban area, UP = TS/size of the landscape studied, and SPC = TS/number of inhabitants.
The paper investigates the properties of the new measures systematically using 13 suitability criteria which were derived from a clear definition of urban sprawl as discussed in a previous paper. The scale of analysis is specified by the so-called horizon of perception. Second, the new measures are applied to three examples from Switzerland. Subsequently, the measures are briefly compared to other measures of urban sprawl from the literature. We demonstrate that UP is an intensive and area-proportionately additive measure and is suitable for comparing urban sprawl among regions of differing size, while SPC is most appropriate when comparing sprawl in relation to human population density. The paper also provides practical advice for calculating the new measures. We conclude that the new method is more suitable than previous methods to quantify the indicator "urban sprawl" in monitoring systems as this method distinguishes the phenomenon of urban sprawl from its various causes and consequences. This article is part II of a set of two papers.