C. Andersson, Ontogeny and ontology in complex systems modeling, 2008.

, The Dynamics of Complex Urban Systems: An Interdisciplinary Approach, pp.43-58

M. Batty and P. Longley, The Fractal Simulation of Urban Structure, Environment and Planning A, vol.18, pp.1143-79, 1986.

M. Batty and P. A. Longley, Urban shapes as fractals, Area, vol.19, issue.3, pp.215-221, 1987.

M. Batty and Y. Xie, Preliminary Evidence for a Theory of the Fractal City, Environment and Planning A, vol.28, pp.1745-62, 1996.

L. Benguigui, D. Czamanski, M. Marinov, and Y. Portugali, When and Where Is a City Fractal? Environment and Planning B: Planning and Design, vol.27, pp.507-519, 2000.

L. Benguigui and D. Czamanski, Simulation Analysis of the Fractality of Cities, Geographical Analysis, vol.36, issue.1, pp.69-84, 2004.

M. Bloch, Les caractères originaux de l'histoire rurale française. Oslo: Instituttet for sammenlignende kulturforskning, 1931.

C. Brunsdon, A. S. Fotheringham, and M. Charlton, Geographically Weighted Regression: A method for exploring spatial nonstationarity, Geographical Analysis, vol.28, issue.4, pp.281-298, 1996.

O. Chaudhry and W. Mackaness, Automatic Identification of Urban Settlement Boundaries for Multiple Representation Databases. Computers, Environment and Urban Systems, vol.32, pp.95-109, 2008.

Y. Chen and J. Wang, Multifractal Characterization of Urban Form and Growth: The Case of Beijing. Environment and Planning B: Planning and Design, vol.40, pp.884-904, 2013.

,. De-keersmaecker, I. Thomas, and P. Frankhauser, Using Fractal Dimensions for Characterizing Intra-urban Diversity: The Example of Brussels, Geographical Analysis, vol.35, issue.4, pp.310-328, 2003.
URL : https://hal.archives-ouvertes.fr/halshs-00873112

A. Demangeon, La géographie de l'habitat rural, Annales de Geographie, vol.36, pp.1-23, 1927.

P. Diggle, A Kernel Method for Smoothing Point Process Data, Journal of the Royal Statistical Society. Series C (Applied Statistics), vol.34, issue.2, pp.138-147, 1985.

R. Dion, Essai sur la formation du paysage rural français, 1934.

J. Feng and Y. Chen, Spatiotemporal evolution of urban form and land-use structure in, Evidence from fractals. Environment and Planning B: Planning and Design, vol.37, pp.838-856, 2010.

A. S. Fotheringham, C. Brunsdon, and M. Charlton, Geographically Weighted Regression: The Analysis of Spatially Varying Relationships, 2003.

P. Frankhauser, Fractal Aspects of Urban Systems. Sonderforschungsbereich 230, Natürliche Konstruktionen, vol.1, pp.67-76, 1988.

P. Frankhauser, The fractal approach: a new tool for the spatial analysis of urban agglomerations. Population, 4, pp.205-240, 1998.

P. Grassberger and I. Procaccia, Measuring the strangeness of strange attractors, Physica D, vol.9, pp.189-208, 1983.

M. Goodchild, Fractals and the Accuracy of Geographical Measures, Mathematical Geology, vol.12, issue.2, pp.85-98, 1980.

B. Jenny and N. V. Kelso, Designing Maps for the Colour-Vision Impaired, Bulletin of the Society of Cartographers, vol.41, pp.9-12, 2007.

N. Lam, Description and Measurement of Landsat TM Images Using Fractals, Photogrammetric Engineering and Remote Sensing, vol.56, issue.2, pp.187-95, 1990.

N. Lam and D. Quattrochi, On the Issues of Scale, Resolution, and Fractal Analysis in the Mapping Sciences, Professional Geographer, vol.44, issue.1, pp.88-98, 1992.

P. Longley and M. Batty, On the Fractal Measurement of Geographical Boundaries, Geographical Analysis, vol.21, issue.1, pp.47-67, 1989.

L. Gléau, J. Pumain, D. Saint-julien, and T. , Towns of Europe: to each country its definition, INSEE Studies, vol.6, pp.1-14, 1997.

F. Mancebo and S. Salles, De l'autre côté du miroir. Un périurbain pensé par le rural, pour une périurbanisation modelée par les usages. Premier plan Le journal d, vol.30, pp.4-6, 2014.

B. Mandelbrot, The Fractal Geometry of Nature, 1982.

F. Sémécurbe, C. Tannier, and S. G. Roux, Spatial distribution of human population in France: exploring the Modifiable Areal Unit Problem using multifractal analysis, Geographical Analysis, vol.48, issue.3, pp.292-313, 2016.

G. Shen, Fractal dimension and fractal growth of urbanized areas, International Journal of Geographical Information Science, vol.16, issue.5, pp.437-519, 2002.

B. W. Silverman, Choosing the window width when estimating a density, Biometrika, vol.65, pp.1-11, 1978.

C. Tannier and D. Pumain, Fractals in Urban Geography: A Theoretical Outline and an Empirical Example, Cybergeo: European Journal of Geography, p.307, 2005.
URL : https://hal.archives-ouvertes.fr/hal-00804295

C. Tannier, I. Thomas, G. Vuidel, and P. Frankhauser, A fractal approach to identifying urban boundaries, Geographical Analysis, vol.43, issue.2, pp.211-227, 2011.
URL : https://hal.archives-ouvertes.fr/hal-00731648

C. Tannier and I. Thomas, Defining and characterizing urban boundaries: A fractal analysis of theoretical cities and Belgian cities. Computers, Environment and Urban Systems, vol.41, pp.234-248, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00858202

T. Tél, Á. Fülöp, and T. Vicsek, Determination of fractal dimensions for geometrical multifractals, Physica A: Statistical Mechanics and its Applications, vol.159, issue.2, pp.155-166, 1989.

I. Thomas, P. Frankhauser, and C. Biernacki, The morphology of built-up landscapes in Wallonia, Belgium: a classification using fractal indices, Landscape and Urban Planning, vol.84, pp.99-115, 2008.
URL : https://hal.archives-ouvertes.fr/hal-00731650

I. Thomas, P. Frankhauser, B. Frenay, and M. Verleysen, Clustering patterns of urban built-up areas with curves of fractal scaling behaviour, Environment and Planning B: Planning and Design, vol.37, pp.942-954, 2010.

T. Vicsek, Mass multifractals, Physica A: Statistical Mechanics and its Applications, vol.168, issue.1, pp.490-497, 1990.

R. White and G. Engelen, Cellular Automata and Fractal Urban Form: A Cellular Modelling Approach to the Evolution of Urban Land-Use Patterns, Environment and Planning A, vol.25, issue.8, pp.1175-99, 1993.

R. White and G. Engelen, Urban Systems Dynamics and Cellular Automata: Fractal Structures between Order and Chaos, Chaos, Solitons and Fractals, vol.4, issue.4, pp.563-583, 1994.

, bandwidth = 8000) msf=data.frame(liss@.Data) names(msf)=c, 2000.

, msf$df_20_5=-(msf$M_200-msf$M_50

, scale=c(1,2,3,4,5) x=-(scale-mean(scale))/(var(scale)*4) msf$df80_5=(as.matrix(msf