Defining and characterizing urban boundaries: A fractal analysis of theoretical cities and Belgian cities

Tannier, Cécile; Thomas, Isabelle

doi:10.1016/j.compenvurbsys.2013.07.003

Cited by 95 publications

(81 citation statements)

References 30 publications

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“…Fractal analysis was conducted because of the ability to provide additional textural information on the effects incurred by deforestation which provides complementary information on forest disturbance as compared to traditional per-pixel forest disturbance analysis. Fractalyse 2.4. software (Research Centre ThéMA, University of Franche-Comté, Besançon, France) was employed for fractal analysis [43,44].…”

Section: Fractal Analysismentioning

confidence: 99%

“…provides complementary information on forest disturbance as compared to traditional per-pixel forest disturbance analysis. Fractalyse 2.4. software (Research Centre ThéMA, University of FrancheComté, Besançon, France) was employed for fractal analysis [43,44]. The box-counting dimension was used for determining the fractal dimension of the forest areas (DSurf-dil0), the fractal dimension of the dilated forest areas (DSurf-dil3) and the fractal dimension of the border of the dilated forest areas (DBord-dil3).…”

Section: Fractal Analysismentioning

confidence: 99%

“…At the second iteration step, each pixel was surrounded by a border of two pixels in width. The structuring element is then a square of 5 2 pixels in size [44]. At the third iteration step, each pixel is surrounded by a border of three pixels in width and the structuring element is then a square of 7 2 pixels in size.…”

Section: Fractal Analysismentioning

confidence: 99%

“…We have evaluated the forest resources [41] using the box-counting method [44], determining the fractal dimension of the forest areas (D Surf-dil0 ), the fractal dimension of the dilated forest areas (D Surf-dil3 ), the fractal dimension of the border of the dilated forest areas (D Bord-dil3 ) and dilation fractal dimension (D dil3 ). Our results add new insights to forest cover change as compared to previous studies based on fractal analysis [3,11,13,[36][37][38].…”

Section: Usage Of Fractal Analysis For Quantification Of Forest Changesmentioning

confidence: 99%

“…In previous studies, fractal analysis of forest areas was determined by using the Fractal Fragmentation Index [13,36] or Minkowski Dimension and Pyramid Dimension [33]. Until now, the dilation method was used to evaluate the quality of the commune or urban built-up areas [44] and we clarified the importance of utilizing the dilation method in understanding the textural organization of forest areas and the effects generated by deforestation and reforestation. The main findings are summarized and discussed in the following five points:…”

Section: Usage Of Fractal Analysis For Quantification Of Forest Changesmentioning

confidence: 99%

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Assessment of Textural Differentiations in Forest Resources in Romania Using Fractal Analysis

Andronache

Fensholt

Ahammer

et al. 2017

Forests

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Deforestation and forest degradation have several negative effects on the environment including a loss of species habitats, disturbance of the water cycle and reduced ability to retain CO 2 , with consequences for global warming. We investigated the evolution of forest resources from development regions in Romania affected by both deforestation and reforestation using a non-Euclidean method based on fractal analysis. We calculated four fractal dimensions of forest areas: the fractal box-counting dimension of the forest areas, the fractal box-counting dimension of the dilated forest areas, the fractal dilation dimension and the box-counting dimension of the border of the dilated forest areas. Fractal analysis revealed morpho-structural and textural differentiations of forested, deforested and reforested areas in development regions with dominant mountain relief and high hills (more forested and compact organization) in comparison to the development regions dominated by plains or low hills (less forested, more fragmented with small and isolated clusters). Our analysis used the fractal analysis that has the advantage of analyzing the entire image, rather than studying local information, thereby enabling quantification of the uniformity, fragmentation, heterogeneity and homogeneity of forests.

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Section: Fractal Analysismentioning

confidence: 99%

Section: Fractal Analysismentioning

confidence: 99%

Section: Fractal Analysismentioning

confidence: 99%

Section: Usage Of Fractal Analysis For Quantification Of Forest Changesmentioning

confidence: 99%

Section: Usage Of Fractal Analysis For Quantification Of Forest Changesmentioning

confidence: 99%

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Assessment of Textural Differentiations in Forest Resources in Romania Using Fractal Analysis

Andronache

Fensholt

Ahammer

et al. 2017

Forests

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On the Survival of Butterflies in the Jungle of Urban Systems

Sanders¹,

Thomas

Vacchiani-Marcuzzo

2020

Lecture Notes in Morphogenesis

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In 2005 Gilles Duranton and Andrés Rodriguez-Pose signed a paper entitled « When economists and geographers collide, or the tale of the lions and the butterflies ». Let's briefly recall the demonstration of the two authors, one being a geographical economist, the other an economic geographer. Through analyses of cross citations and behaviors at conferences, they conclude to a relation of "mutual ignorance, rather than outright discord" between the researchers of these two communities. Looking at their scientific approaches, they underline two radically different ways of proceeding: the lions "improving and expanding their tricks", laboring "the same core questions over and over again", and the butterflies "freely flying the fields of knowledge with the aim of tasting the best from every flower they visit". The two authors note that both communities are in fact interested in the same questions (among others, the geography of cities), but that there is very little scientific cross-fertilization At the same period (2007), a similar debate took place in the French scientific journal L'Espace Géographique: Denise Pumain, Jacques-François Thisse, Isabelle Thomas and Bernard Walliser tried to explore the relationship between New Economic Geography and Geography. Jacques-François Thisse conceded at this occasion that "En ce qui concerne les échelles spatiales, il est exact que la plupart des économistes n'ont pas compris grand-chose à cette question 1 ». One specific point in this debate deserves to be focused on, that of spatial scales, that is maybe a major point of discrepancy between lions and butterflies. Indeed, initially (and very broadly said), economists (the lions) were myopic, considering a city as a point on a line (1D), and hence over simplifying urban realities for the sake of rigorous economic theory. At the same time, geographers (the butterflies), more aware of the crucial role of scale, were

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Modelling the Drivers of Urban Densification to Evaluate Built-up Areas Extension: A Data-Modelling Solution Towards Zero Net Land Take

Chakraborty

Omrani

Teller

2022

Lecture Notes in Computer Science

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Defining and characterizing urban boundaries: A fractal analysis of theoretical cities and Belgian cities

Cited by 95 publications

References 30 publications

Assessment of Textural Differentiations in Forest Resources in Romania Using Fractal Analysis

Assessment of Textural Differentiations in Forest Resources in Romania Using Fractal Analysis

On the Survival of Butterflies in the Jungle of Urban Systems

Modelling the Drivers of Urban Densification to Evaluate Built-up Areas Extension: A Data-Modelling Solution Towards Zero Net Land Take

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