A. Aguilera, Growth in Commuting Distances in French Polycentric Metropolitan Areas: Paris, Lyon and Marseille, Urban Studies, vol.9, issue.9, pp.1537-1547, 2005.
DOI : 10.1080/00420989320081681
URL : https://hal.archives-ouvertes.fr/halshs-00489791

F. Aguilera, L. M. Valenzuela, and A. Botequilha-leitão, Landscape metrics in the analysis of urban land use patterns: A case study in a Spanish metropolitan area, Landscape and Urban Planning, vol.99, issue.3-4, pp.99-226, 2011.
DOI : 10.1016/j.landurbplan.2010.10.004

G. Akerlof, Social Distance and Social Decisions, Econometrica, vol.65, issue.5, pp.1005-1027, 1997.
DOI : 10.2307/2171877
URL : http://www.wcas.northwestern.edu/nescan/akerlof_1997.pdf

M. Alberti, The Effects of Urban Patterns on Ecosystem Function, International Regional Science Review, vol.6, issue.9, pp.168-192, 2005.
DOI : 10.1890/1051-0761(2000)010[0685:TAOEPT]2.0.CO;2

G. Alperovich, The size distribution of cities: On the empirical validity of the rank-size rule, Journal of Urban Economics, vol.16, issue.2, pp.232-249, 1984.
DOI : 10.1016/0094-1190(84)90044-5

W. Alonso, Location and Land Use, 1964.
DOI : 10.4159/harvard.9780674730854

F. Amblard, P. Bommel, and J. Rouchier, Assessment and validation of multi-agent models Agent-based modelling and simulation in the social and human science, pp.93-114, 2007.

F. Amblard, J. Rouchier, and P. Bommel, Evaluation et validation des modèles multi-agents Modélisation et simulation multi-agents ; applications pour les Sciences de l'Homme et de la Société, pp.103-140, 2006.

A. Amin and N. Thrift, What Kind of Economic Theory for what Kind of Economic Geography?, Antipode, vol.32, issue.1, pp.4-9, 2000.
DOI : 10.1111/1467-8330.00117

C. Andersson, Ontogeny and Ontology in Complex Systems Modeling, 2008.
DOI : 10.1007/978-3-7908-1937-3_3

P. Andrey and A. Giordano, Vancheri (eds) The Dynamics of Complex Urban Systems: An Interdisciplinary Approach, Physica-Verlag Heidelberg, pp.43-58

P. G. Angold, J. P. Sadler, M. O. Hill, A. Pullin, S. Rushton et al., Biodiversity in urban habitat patches, Science of The Total Environment, vol.360, issue.1-3, pp.196-204, 2006.
DOI : 10.1016/j.scitotenv.2005.08.035

J. Antoni, N. Lunardi, and G. Vuidel, Simuler les mobilités individuelles. Les enjeux de l'information géographique, pp.237-262, 2016.

S. Appleby, Multifractal Characterization of the Distribution Pattern of the Human Population, Geographical Analysis, vol.1, issue.1, pp.147-160, 1996.
DOI : 10.1103/PhysRevA.33.1141

G. Arbia, R. Benedetti, and G. Espa, Effects of the MAUP on image classification, Geographical Systems, vol.3, pp.123-164, 1996.

A. Ariza-villaverde, F. J. Jiménez-hornero, and E. Guitérrez-de-ravé, Multifractal analysis of axial maps applied to the study of urban morphology, Computers, Environment and Urban Systems, vol.38, pp.1-10, 2013.
DOI : 10.1016/j.compenvurbsys.2012.11.001

E. Arcaute, E. Hatna, P. Ferguson, H. Youn, A. Johansson et al., Constructing cities, deconstructing scaling laws, Journal of The Royal Society Interface, vol.4, issue.6139, pp.20140745-20140746, 2015.
DOI : 10.1371/journal.pone.0064727
URL : http://rsif.royalsocietypublishing.org/content/royinterface/12/102/20140745.full.pdf

S. L. Arlinghaus, Fractals Take a Central Place, Geografiska Annaler: Series B, Human Geography, vol.7, issue.2, pp.83-88, 1985.
DOI : 10.1111/j.1538-4632.1979.tb00692.x

S. L. Arlinghaus, Essays on Mathematical Geography II, 1987.

S. L. Arlinghaus and J. D. Nystuen, Geometry of Boundary Exchanges, Geographical Review, vol.80, issue.1, pp.21-31, 1990.
DOI : 10.2307/215895

F. Auerbach, Das Gesetz der Bevölkerungskonzentration, Petermanns Geographische Mitteilungen, vol.59, pp.74-76, 1913.

R. Axelrod, The Complexity of Cooperation: Agent-Based Models of Competition and Collaboration, 1997.
DOI : 10.1515/9781400822300

A. Bailly, La ville, espace vécu, pp.163-172, 1996.

E. Bailly, Research report on a method for determining an urban outline, Cybergeo, 1996.
DOI : 10.4000/cybergeo.2235

P. Bairoch, De Jéricho à Mexico, 1985.

K. C. Baldock, M. A. Goddard, D. M. Hicks, W. E. Kunin, N. Mitschunas et al., Where is the UK's pollinator biodiversity? The importance of urban areas for flower-visiting insects, Proceedings of the Royal Society B: Biological Sciences, vol.9, issue.1, p.20142849, 2015.
DOI : 10.1371/journal.pone.0086357

A. Banos, Modéliser c'est apprendre. Itinéraire d'un géographe. Editions Matériologiques, Collection "Modélisations, simulations, systèmes complexes, 2013.

A. Banos and L. Sanders, Modéliser et simuler les systèmes spatiaux en géographie, p.31, 2013.

I. F. Varenne and M. , Silberstein (dir) Modéliser & simuler. Epistémologies et pratiques de la modélisation et de la simulation, Éditions Matériologiques, Collection Sciences & Philosophie, pp.833-863

J. Barros, Exploring urban dynamics in Latin American cities using an agent-based simulation approach Agent-based models of geographical systems, pp.571-589, 2012.

M. Batty and P. A. Longley, The Fractal Simulation of Urban Structure, Environment and Planning A, vol.63, issue.11, pp.1143-1179, 1986.
DOI : 10.1068/b100269

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

M. Batty and K. Kim, Form Follows Function: Reformulating Urban Population Density Functions, Urban Studies, vol.12, issue.7, pp.1043-1070, 1992.
DOI : 10.1068/a120135

M. Batty and P. A. Longley, Fractal Cities: A Geometry of Form and Function, 1994.

M. Batty and Y. Xie, Self-organized criticality and urban development, Discrete Dynamics in Nature and Society, vol.3, issue.2-3, pp.109-124, 1999.
DOI : 10.1155/S1026022699000151
URL : http://doi.org/10.1155/s1026022699000151

M. Batty and Y. Xie, Preliminary Evidence for a Theory of the Fractal City, Environment and Planning A, vol.7, issue.10, pp.1745-1762, 1996.
DOI : 10.1111/j.1467-9787.1967.tb01429.x

M. Batty, A Theory of City Size, Science, vol.1, issue.17, pp.1418-1419, 2013.
DOI : 10.1068/a43403

P. Baveye and C. W. Boast, Fractal geometry, fragmentation processes and the physics of scale invariance: an introduction (eds) Fractals in soil science, pp.1-54, 1998.

M. Ben-akiva and A. De-palma, ANALYSIS OF A DYNAMIC RESIDENTIAL LOCATION CHOICE MODEL WITH TRANSACTION COSTS*, Journal of Regional Science, vol.9, issue.2, pp.321-341, 1986.
DOI : 10.1016/0094-1190(81)90031-0

I. Benenson, Multi-agent simulations of residential dynamics in the city, Computers, Environment and Urban Systems, vol.22, issue.1, pp.25-42, 1998.
DOI : 10.1016/S0198-9715(98)00017-9

I. Benenson, I. Omer, and E. Hatna, Entity-Based Modeling of Urban Residential Dynamics: The Case of Yaffo, Tel Aviv, Environment and Planning B: Planning and Design, vol.20, issue.2, pp.491-512, 2002.
DOI : 10.1016/S0198-9715(97)00003-3

L. Benguigui, D. Czamanski, M. Marinov, and Y. Portugali, When and Where Is a City Fractal? Environment and Planning B: Planning and Design, pp.507-519, 2000.
DOI : 10.1068/b2617
URL : https://www.econstor.eu/bitstream/10419/114205/1/ERSA1999_a033.pdf

L. Benguigui and D. Czamanski, Simulation Analysis of the Fractality of Cities, Geographical Analysis, vol.25, issue.10, pp.69-84, 2004.
DOI : 10.1142/0511

L. Benguigui and E. Blumenfeld-lieberthal, FROM LOGNORMAL DISTRIBUTION TO POWER LAW: A NEW CLASSIFICATION OF THE SIZE DISTRIBUTIONS, International Journal of Modern Physics C, vol.17, issue.10, pp.1429-1436, 2006.
DOI : 10.1641/0006-3568(2001)051[0341:LNDATS]2.0.CO;2

L. Benguigui, E. Blumenfeld-lieberthal, and D. Czamanski, The Dynamics of the Tel Aviv Morphology. Environment and Planning B: Planning and Design, pp.269-284, 2006.

L. Benguigui and E. Blumenfeld-lieberthal, The end of a paradigm: is Zipf???s law universal?, Journal of Geographical Systems, vol.66, issue.3, pp.87-100, 2011.
DOI : 10.1016/S0165-1765(99)00215-3

A. Berque, Lieu' 1, EspacesTemps.net, Books, 19.03, 2003.

L. M. Bettencourt, J. Lobo, D. Helbing, C. Kühnert, and G. B. West, Growth, innovation, scaling, and the pace of life in cities, Proceedings of the National Academy of Sciences of the USA, pp.7301-7306, 2007.
DOI : 10.2307/2118405

L. M. Bettencourt, The Origins of Scaling in Cities, Science, vol.2010, issue.6, pp.1438-1441, 2013.
DOI : 10.1111/1468-0289.00084

P. M. Blau, Inequality and heterogeneity, 1977.

P. M. Blau, A Macrosociological Theory of Social Structure, American Journal of Sociology, vol.83, issue.1, pp.26-54, 1977.
DOI : 10.1086/226505

R. Boudon, L'analyse mathématique des faits sociaux, 1967.

G. Bouligand, Sur la notion d'ordre de mesure d'un ensemble plan, Bulletin des Sciences Mathématiques, pp.53-185, 1929.

M. Bourgeois, Impacts écologiques des formes d'urbanisation. Modélisations urbaines et paysagères, Thèse de doctorat en géographie, 2015.

L. Bouzouina, Ségrégation spatiale et dynamiques métropolitaines, Thèse de doctorat en économie, 2008.

M. Brasebin, Les données géographiques 3D pour simuler l'impact de la réglementation urbaine sur la morphologie du bâti, Thèse de doctorat en informatique, 2014.

A. Bretagnolle, Étude des indices de concentration d'une population. L'Espace Géographique, pp.145-157, 1996.
DOI : 10.3406/spgeo.1996.972
URL : http://www.persee.fr/docAsPDF/spgeo_0046-2497_1996_num_25_2_972.pdf

A. Bretagnolle, Les villes dans l'espace-temps : vitesse des communications et structuration des territoires à l'échelle intra et interurbaine, A. Volvey (dir) Echelles et temporalités, Atlande, Clefs Concours : géographie thématique, pp.180-187, 2005.

A. Bretagnolle, F. Paulus, and D. Pumain, Echelles de temps et d'espace dans la mesure de la croissance urbaine, Cybergeo, p.219, 2002.
DOI : 10.3406/estat.2000.7508

A. Bretagnolle, D. Pumain, and C. Vacchiani-marcuzzo, Les formes des systèmes de villes dans le monde, dir) Données urbaines 5, Anthropos-Economica, coll. Villes, pp.301-314, 2007.

R. Brunet, L'aveuglante unité de la géographie, L'Espace géographique, XVIII, n°2 « La géographie et ses enseignements, pp.94-101, 1989.

C. Brunsdon, A. S. Fotheringham, and M. Charlton, Geographically Weighted Regression: A Method for Exploring Spatial Nonstationarity, Geographical Analysis, vol.33, issue.4, pp.281-298, 1996.
DOI : 10.1007/978-1-4899-4493-1
URL : http://eprints.maynoothuniversity.ie/5895/1/CB_Weighted%20Regression.pdf

E. W. Burgess, The Growth of the City: An Introduction to a Research Project, p.47, 1925.
DOI : 10.1007/978-0-387-73412-5_5

J. Cariboni, D. Gatelli, R. Liska, and A. Saltelli, The role of sensitivity analysis in ecological modelling, Ecological Modelling, vol.203, issue.1-2, pp.167-182, 2007.
DOI : 10.1016/j.ecolmodel.2005.10.045

J. Cavailhès, P. Frankhauser, D. Peeters, and I. Thomas, Where Alonso Meets Sierpinski: An Urban Economic Model of a Fractal Metropolitan Area, Environment and Planning A, vol.1, issue.532, pp.1471-1498, 2004.
DOI : 10.1080/136588100424945

J. Cavailhès, P. Frankhauser, D. Peeters, and I. Thomas, Residential equilibrium in a multifractal metropolitan area, The Annals of Regional Science, vol.46, issue.(8, pp.681-704, 2010.
DOI : 10.1017/CBO9780511805660

A. Chhabra and R. Jensen, Direct determination of the f(??) singularity spectrum, Physical Review Letters, vol.114, issue.12, pp.1327-1330, 1989.
DOI : 10.1016/0375-9601(86)90695-X

Y. Chen, A new model of urban population density indicating latent fractal structure, International Journal of Urban Sustainable Development, vol.10, issue.1-2, pp.89-110, 2009.
DOI : 10.1068/a110629

Y. Chen, Derivation of the functional relations between fractal dimension of and shape indices of urban form. Computers, Environment and Urban Systems, pp.442-451, 2011.

Y. Chen, Urban chaos and replacement dynamics in nature and society. Physica A: Statistical Mechanics and its Applications, pp.373-384, 2014.
DOI : 10.1016/j.physa.2014.06.060
URL : http://arxiv.org/pdf/1106.0887

Y. Chen, DEFINING URBAN AND RURAL REGIONS BY MULTIFRACTAL SPECTRUMS OF URBANIZATION, Fractals, vol.1, issue.3, p.1650004, 2016.
DOI : 10.1080/0032472031000149536

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

Y. Chen and Y. Zhou, Multi-fractal measures of city-size distributions based on the three-parameter Zipf model, Chaos, Solitons & Fractals, vol.22, issue.4, pp.793-805, 2004.
DOI : 10.1016/j.chaos.2004.02.059

W. Christaller, Die zentralen Orte in Süddeutschland Eine ökonomisch-geographische Untersuchung über die Gesetzmäßigkeit der Verbreitung und Entwicklung der Siedlungen mit städtischer Funktion, Wissenschaftliche Buchgesellschaft, 1933.

W. Clark, Residential segregation in American cities: a review and interpretation, Population Research and Policy Review, vol.17, issue.5, pp.95-129, 1986.
DOI : 10.4159/harvard.9780674189225

S. K. Collinge, Ecological consequences of habitat fragmentation: implications for landscape architecture and planning, Landscape and Urban Planning, vol.36, issue.1, pp.59-77, 1996.
DOI : 10.1016/S0169-2046(96)00341-6

M. Colomb, M. Brasebin, J. Perret, and C. Tannier, Simulation of a realistic residential development with the integration of two existing models, European Colloquium on Theoretical and Quantitative Geography, pp.7-11, 2017.

H. Commenges, Mod??le de radiation et mod??le gravitaire, Revue Internationale de G??omatique, vol.26, issue.1, pp.79-95, 2016.
DOI : 10.3166/RIG.26.79-95

T. Conway, Local environmental impacts of alternative forms of residential development. Environment and Planning B: Planning and Design, pp.927-943, 2009.

J. Cooper and R. Oskrochi, Fractal analysis of street vistas?a potential tool for assessing levels of visual variety in everyday street scenes. Environment and Planning B: Planning and Design, pp.349-363, 2008.

B. Corominas-murtra and R. V. Solé, Universality of Zipf???s law, Physical Review E, vol.27, issue.1, p.11102, 2010.
DOI : 10.1016/j.physleta.2009.10.027

C. Cottineau, E. Hatna, E. Arcaute, and M. Batty, Diverse cities or the systematic paradox of Urban Scaling Laws, Computers, Environment and Urban Systems, vol.63, pp.80-94, 2017.
DOI : 10.1016/j.compenvurbsys.2016.04.006

M. Crosetto, S. Tarantola, and A. Saltelli, Sensitivity and uncertainty analysis in spatial modelling based on GIS, Agriculture, Ecosystems & Environment, vol.81, issue.1, pp.71-79, 2000.
DOI : 10.1016/S0167-8809(00)00169-9

R. Cura, C. Cottineau, E. Swerts, C. Ignazzi, A. Bretagnolle et al., In press). The Old and the New: Qualifying City Systems in the World with Classical Models and New Data, Geographical Analysis

. Fixation, In : L. Sanders (dir.) Transitions dans les systèmes de peuplement : observer, interpréter et simuler l'émergence du changement spatial, Presses universitaires François Rabelais, Europe du Nord-Ouest (chap. 11)

D. Czamanski, I. Benenson, D. Malkinson, M. Marinov, R. Roth et al., Urban Sprawl and Ecosystems ??? Can Nature Survive?, International Review of Environmental and Resource Economics, vol.2, issue.4, pp.321-366, 2008.
DOI : 10.1561/101.00000019

D. Thompson and W. , On Growth and Form. Abridged Edition, 1917.

S. Davoudi, EUROPEAN BRIEFING: Polycentricity in European spatial planning: from an analytical tool to a normative agenda, European Planning Studies, vol.11, issue.8, pp.979-999, 2003.
DOI : 10.1080/0965431032000146169

G. Deffuant, F. Amblard, R. Dubos, and E. Ramat, Une démarche expérimentale pour la simulation individus-centrée, Actes des 10èmes Journées de Rochebrune -Rencontres interdisciplinaires sur les systèmes complexes naturels et artificiels -Statut épistémologique de la simulation, Rochebrune, pp.45-64, 2003.

D. Keersmaecker, M. Frankhauser, P. Thomas, and I. , Using Fractal Dimensions for Characterizing Intra-urban Diversity: The Example of Brussels, Geographical Analysis, vol.25, issue.2, pp.310-328, 2003.
DOI : 10.3917/reco.541.0005
URL : https://hal.archives-ouvertes.fr/halshs-00873112

O. Devisch, H. Timmermans, T. Arentze, and A. Borgers, Modelling residential search and location choice, Progress in Design & Decision Support Systems in Architecture and Urban Planning, 8th International DDSS Conference, pp.185-200, 2006.

J. Diamond, De l'inégalité parmi les sociétés -Essai sur l'homme et l'environnement dans l'histoire, 1997.

J. Donnay, Agglomérations morphologiques et fonctionnelles, l'apport de la télédétection urbaine, Acta Geographica Lovaniensia, vol.34, pp.191-199, 1994.

B. Dubrulle, F. Graner, and D. Sornette, Foreword: Scale Invariance and Beyond, Scale Invariance and Beyond (Les Houches Workshop, pp.1-21, 1997.

F. Durand-dastès, Sur un espace intellectuel. L'Espace géographique, XVIII(2) « La géographie et ses enseignements, pp.86-89, 1989.

F. Durand-dastès, Le particulier et le général, Actes du 6e Colloque de Didactiques de l'histoire, pp.207-216, 1991.

F. Durand-dastès, Le temps, la géographie et ses modèles, pp.5-13, 2001.

F. Durand-dastès, Les concepts de la modélisation en analyse spatiale (dir) Modèles en analyse spatiale, pp.31-60, 2001.

F. Durand-dastès, Constitution des aires et différenciation spatiale, pp.15-23, 2014.

G. Duranton and A. Rodríguez-pose, Guest Editorial, Environment and Planning A, vol.24, issue.10, pp.1695-1705, 2005.
DOI : 10.1093/jeg/1.1.131

J. Eeckhout, Gibrat's Law for (All) Cities, American Economic Review, vol.94, issue.5, pp.1429-1451, 2004.
DOI : 10.1257/0002828043052303

J. Eeckhout, Gibrat's Law for (All) Cities: Reply, American Economic Review, vol.99, issue.4, pp.1676-1683, 2009.
DOI : 10.1257/aer.99.4.1676

B. Edmonds and S. Moss, From KISS to KIDS ??? An ???Anti-simplistic??? Modelling Approach, MABS Lecture Notes in Computer Science, vol.3415, pp.130-144, 2004.
DOI : 10.1007/978-3-540-32243-6_11

S. Encarnação, M. Gaudiano, F. C. Santo, J. A. Tenedório, and J. M. Pacheco, Fractal cartography of urban areas, Scientific Reports, vol.105, issue.1, 2012.
DOI : 10.1002/0470013850

J. Epstein, Generative Social Science ? Studies in Agent-Based Computational Modeling, 2006.
DOI : 10.1515/9781400842872

L. Fahrig, Relative Effects of Habitat Loss and Fragmentation on Population Extinction, The Journal of Wildlife Management, vol.61, issue.3, pp.603-610, 1997.
DOI : 10.2307/3802168

K. Falconer, Fractal Geometry: Mathematical Foundations and Applications, 1990.
DOI : 10.1002/0470013850

J. Favaro and D. Pumain, Gibrat Revisited: An Urban Growth Model Incorporating Spatial Interaction and Innovation Cycles. ????????????????????????????????????????????????????????????????????????????????????, Geographical Analysis, vol.43, issue.3, pp.261-286, 2011.
DOI : 10.1111/j.1538-4632.2011.00819.x

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

J. Foltête, C. Clauzel, and G. Vuidel, A software tool dedicated to the modelling of landscape networks, Environmental Modelling & Software, vol.38, pp.316-327, 2012.
DOI : 10.1016/j.envsoft.2012.07.002

R. T. Forman, Land Mosaics: The Ecology of Landscapes and Regions, 1995.

R. T. Forman and L. E. Alexander, ROADS AND THEIR MAJOR ECOLOGICAL EFFECTS, Annual Review of Ecology and Systematics, vol.29, issue.1, pp.207-231, 1998.
DOI : 10.1146/annurev.ecolsys.29.1.207

A. S. Fotheringham, M. Batty, and P. A. Longley, DIFFUSION-LIMITED AGGREGATION AND THE FRACTAL NATURE OF URBAN GROWTH, Papers in Regional Science, vol.67, issue.1, pp.55-69, 1989.
DOI : 10.1111/j.1435-5597.1989.tb01182.x

A. S. Fotheringham, M. E. Charlton, and C. Brunsdon, Geographically Weighted Regression: A Natural Evolution of the Expansion Method for Spatial Data Analysis, Environment and Planning A, vol.8, issue.11, pp.1905-1927, 1998.
DOI : 10.1080/026937996137909

A. S. Fotheringham and D. W. Wong, The Modifiable Areal Unit Problem in Multivariate Statistical Analysis, Environment and Planning A, vol.55, issue.7, pp.1025-1044, 1991.
DOI : 10.1111/j.1467-8306.1965.tb00530.x

N. François, P. Frankhauser, and D. Pumain, Villes, densité et fractalité. Nouvelles représentations de la répartition de la population. Les Annales de la recherche urbaine, 67 "Densités et espacements, pp.55-64, 1995.

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

P. Frankhauser, Aspects fractals des structures urbaines. L'Espace géographique, pp.19-20, 1990.
DOI : 10.3406/spgeo.1990.2943
URL : http://www.persee.fr/docAsPDF/spgeo_0046-2497_1990_num_19_1_2943.pdf

P. Frankhauser, La fractalité des structures urbaines, 1994.
DOI : 10.3406/spgeo.1990.2943
URL : http://www.persee.fr/docAsPDF/spgeo_0046-2497_1990_num_19_1_2943.pdf

P. Frankhauser, L'approche fractale Un nouvel outil de réflexion dans l'analyse spatiale des agglomérations urbaines Version anglaise The fractal approach: a new tool for the spatial analysis of urban agglomerations, Population Population, vol.4, issue.4, pp.1005-1040, 1997.

P. Frankhauser, Fractal geometry of urban patterns and their morphogenesis, Discrete Dynamics in Nature and Society, pp.127-145, 1998.
DOI : 10.1155/S1026022698000107

P. Frankhauser, La formalisation fractale des tissus urbains, Cahiers géographiques du Québec, pp.379-398, 1998.
DOI : 10.7202/022764ar
URL : https://hal.archives-ouvertes.fr/halshs-00873357

P. Frankhauser and C. Genre-grandpierre, La géométrie fractale -Un nouvel outil pour évaluer le rôle de la morphologie des réseaux de transport public dans l'organisation spatiale des agglomérations, Les Cahiers Scientifiques du Transport, vol.33, pp.41-78, 1998.

P. Frankhauser, Morphologie des "villes émergentes" en Europe à travers les analyses fractales, Rapport de recherche pour le Ministère de l'équipement, des transports et du logement, 2003.

P. Frankhauser, Comparing the morphology of urban patterns in Europe. A fractal approach, European Cities: Insights on Outskirts, pp.79-105, 2004.
URL : https://hal.archives-ouvertes.fr/hal-00875231

P. Frankhauser, Fractal Geometry for Measuring and Modelling Urban Patterns, The Dynamics of Complex Urban Systems, pp.213-243, 2008.
DOI : 10.1007/978-3-7908-1937-3_11
URL : https://hal.archives-ouvertes.fr/hal-00731584

P. Frankhauser, From Fractal Urban Pattern Analysis to Fractal Urban Planning Concepts, Computational approaches for urban environments, geotechnologies and the environment, pp.13-48, 2015.
DOI : 10.1007/978-3-319-11469-9_2
URL : https://hal.archives-ouvertes.fr/hal-01118910

P. Frankhauser, Fractalité et fait urbain De l'analyse des structures spatiales au concept d'aménagement. Conférence plénière, Treizièmes Rencontres de Théo Quant, pp.17-19, 2017.

P. Frankhauser, C. Tannier, G. Vuidel, and H. Houot, Une approche multi-échelle pour le développement résidentiel des nouveaux espaces urbains, 2010.

P. Frankhauser, C. Tannier, G. Vuidel, and H. Houot, An integrated multifractal modelling to urban and regional planning, Computers, Environment and Urban Systems, vol.67
DOI : 10.1016/j.compenvurbsys.2017.09.011
URL : https://hal.archives-ouvertes.fr/hal-01614652

M. Frémond, Une approche normative de l'aménagement au Luxembourg. Évaluation par la simulation, Thèse de doctorat en géographie, 2015.

M. Fujita and J. F. Thisse, Economics of agglomeration. Cities, industrial location and regional growth, 2002.

X. Gabaix and R. Ibragimov, Rank ??? 1???/???2: A Simple Way to Improve the OLS Estimation of Tail Exponents, Journal of Business & Economic Statistics, vol.29, issue.1, pp.24-29, 2011.
DOI : 10.1198/jbes.2009.06157

G. Galster, Residential segregation in American cities: A contrary review, Population Research and Policy Review, vol.6, issue.2, pp.113-121, 1988.
DOI : 10.1016/B978-0-12-214840-8.50013-3

A. Galton and R. Mizoguchi, The water falls but the waterfall does not fall: new perspectives on objects, processes and events, Applied Ontology, vol.4, pp.2-71, 2009.

L. Gan, D. Li, and S. Song, Is the Zipf law spurious in explaining city-size distributions? Economics Letters, pp.256-262, 2006.

J. Gardin, Une archéologie théorique, 1979.

C. Genre-grandpierre, Commentaire sur le chapitre 1 (dir) Villes, réseaux et transport. Le défi fractal, Economica, Collection "Méthodes et approches, pp.31-39, 2017.

J. Geohagan, The value of open spaces in residential land use, Land Use Policy, vol.19, issue.1, pp.91-98, 2002.
DOI : 10.1016/S0264-8377(01)00040-0

R. Gibrat, Les inégalités économiques : applications aux inégalités des richesses, à la concentration des entreprises, aux populations des villes, aux statistiques des familles, etc., d'une loi nouvelle, la loi de l'effet proportionnel, 1931.

X. Girardet, J. Foltête, and C. Clauzel, Designing a graph-based approach to landscape ecological assessment of linear infrastructures, Environmental Impact Assessment Review, vol.42, pp.10-17, 2013.
DOI : 10.1016/j.eiar.2013.03.004
URL : https://hal.archives-ouvertes.fr/hal-00814453

E. L. Glaeser and J. A. Scheinkman, Chapter 4 Measuring social interactions, Social dynamics, pp.83-131, 2001.

E. L. Glaeser, The economic approach to cities, 2008.

R. Golledge and D. Amadeo, On laws in geography. Annals of the Association of American Geographers, pp.760-774, 1968.

R. Golledge, The Nature of Geographic Knowledge. Annals of the Association of American Geographers, pp.1-14, 2002.

M. Goodchild, Fractals and the accuracy of geographical measures, Journal of the International Association for Mathematical Geology, vol.6, issue.2, pp.85-98, 1980.
DOI : 10.1007/978-3-662-01025-9

M. Goodchild and D. Mark, The Fractal Nature of Geographic Phenomena. Annals of the Association of American Geographers, pp.265-278, 1987.

M. Goodchild, Laws in Geography, Conférence au Collège International des Sciences du Territoire, 2016.

P. Grassberger and I. Procaccia, Measuring the strangeness of strange attractors, Physica D: Nonlinear Phenomena, vol.9, issue.1-2, pp.189-208, 1983.
DOI : 10.1016/0167-2789(83)90298-1

C. Grasland, Richesse et population dans le monde : une représentation multiscalaire des inégalités. Mappemonde, p.1, 2003.

C. Grasland, Spatial Analysis of Social Facts (dir) Handbook of Theoretical and Quantitative Geography, pp.117-174, 2009.

F. Guérin-pace, Rank-Size Distribution and the Process of Urban Growth, Urban Studies, vol.84, issue.1, pp.551-562, 1995.
DOI : 10.1086/260440

M. Guérois, Les formes des villes européennes vues du ciel -Une contribution de l'image CORINE Land Cover, 2003.

M. Gurrutxaga, P. J. Lozano, D. Barrio, and G. , Assessing Highway Permeability for the Restoration of Landscape Connectivity between Protected Areas in the Basque Country, Northern Spain, Landscape Research, vol.51, issue.5, pp.529-550, 2010.
DOI : 10.1016/0006-3207(94)00028-O

G. Haag, The rank-size distribution of settlements as a dynamic multifractal phenomenon, Chaos, Solitons & Fractals, vol.4, issue.4, pp.519-534, 1994.
DOI : 10.1016/0960-0779(94)90063-9

T. Hägerstrand, The propagation of innovation waves. Lund Studies in Geography: Series B, Human geography, 1952.

T. T. Hägerstrand and B. Hägerstrand, Migration and area Odeving Migration in Sweden. A symposium, Lund Studies in Geography: Series B, Human geography, pp.17-128, 1957.

T. Hägerstrand, Innovation diffusion as a spatial process [Innovationsförloppet ur korologisk synpunkt]. Postscript and translation by Allan Pred; translated with the assistance of Greta Haag, 1953.

P. Haggett, L'analyse spatiale en géographie humain Locational Analysis in human geography, 1965.

D. Hamby, A review of techniques for parameter sensitivity analysis of environmental models, Environmental Monitoring and Assessment, vol.64, issue.2, pp.135-154, 1994.
DOI : 10.2172/7091452

I. Hanski, Habitat Loss, the Dynamics of Biodiversity, and a Perspective on Conservation, AMBIO, vol.146, issue.3, pp.248-255, 2011.
DOI : 10.1126/science.282.5394.1695

A. J. Heppenstall, A. J. Evans, and M. H. Birkin, Genetic Algorithm Optimisation of An Agent-Based Model for Simulating a Retail Market, Environment and Planning B: Planning and Design, vol.9, issue.3, pp.1051-1071, 2007.
DOI : 10.1080/10020070412331343431

A. Hernando, R. Hernando, A. Plastino, and E. Zambrano, Memory-endowed US cities and their demographic interactions, Journal of The Royal Society Interface, vol.25, issue.7196, p.20141185, 2014.
DOI : 10.1080/13658816.2010.510801
URL : https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4277112/pdf

J. Hirtzel, Exploration prospective des mobilités résidentielles dans une agglomération urbaine au moyen d'un modèle de simulation multi-agents (MobiSim)Thèse de doctorat en géographie, 2015.

T. Houet, R. Aguejdad, O. Doukari, G. Battaia, and K. Clarke, Description et validation d???un mod??le ind??pendant des trajectoires d?????volution pass??es pour simuler des futures contrast??s de l?????talement urbain, Cybergeo, p.759, 2016.
DOI : 10.1068/a251175

H. Houot, C. Tannier, G. Vuidel, and P. Frankhauser, Multi-scale scenarios of urban residential development and accessibility to retail stores and facilities. 16 th European Colloquium on Theoretical and Quantitative Geography, pp.4-8, 2009.
URL : https://hal.archives-ouvertes.fr/hal-00764703

H. Hotelling, Stability in Competition, The Economic Journal, vol.39, issue.153, pp.41-57, 1929.
DOI : 10.2307/2224214

E. Howard, To-morrow: A Peaceful Path to Real Reform, 1898.
DOI : 10.1017/CBO9780511706257

S. Kamps, Dual-agent simulation model of the residential development process -An institutional approach to explaining the spatial patterns of residential development in France, England and the Netherlands, 2013.
URL : https://hal.archives-ouvertes.fr/tel-01287178

M. Kohler, C. Tannier, N. Blond, R. Aguejdad, and A. Clappier, Impacts of several urban-sprawl countermeasures on building (space heating) energy demands and urban heat island intensities. A case study, Urban Climate, vol.19, pp.92-121, 2017.
DOI : 10.1016/j.uclim.2016.12.006
URL : https://hal.archives-ouvertes.fr/hal-01432121

N. Lam, Description and Measurement of Landsat TM Images Using Fractals, Photogrammetric Engineering and Remote Sensing, vol.56, issue.2, pp.187-195, 1990.

N. Lam and D. Quattrochi, On the Issues of Scale, Resolution, and Fractal Analysis in the Mapping Sciences*, The Professional Geographer, vol.67, issue.3, pp.88-98, 1992.
DOI : 10.1016/0034-4257(87)90015-0

J. Legay, L'expérience et le modèle ? Un discours sur la méthode, Collection Sciences en questions, 1997.

R. Lemoy and G. Caruso, Scaling evidence of the homothetic nature of cities. Working paper, 2017.

P. Livet, Qu'est-ce qu'une action ? Collection Chemins philosophiques, 2005.

P. Livet, J. Müller, D. Phan, and L. Sanders, Ontology, a Mediator for Agent-Based Modeling in Social Science, Journal of Artificial Societies and Social Simulation, vol.13, issue.1, 2010.
DOI : 10.18564/jasss.1538

P. Livet, D. Phan, and L. Sanders, Diversité et complémentarité des modèles multi-agents en sciences sociales. Revue française de sociologie, pp.689-729, 2014.
DOI : 10.3917/rfs.554.0689

P. A. Longley and V. Mesev, BEYOND ANALOGUE MODELS: SPACE FILLING AND DENSITY MEASUREMENT OF AN URBAN SETTLEMENT, Papers in Regional Science, vol.76, issue.4, pp.409-427, 1997.
DOI : 10.1111/j.1435-5597.1997.tb00701.x

P. A. Longley and V. Mesev, On the Measurement and Generalisation of Urban Form, Environment and Planning A, vol.24, issue.4, pp.473-488, 2000.
DOI : 10.1068/a270759

R. Louf and M. Barthelemy, Commentary. Scaling: lost in the smog. Environment and Planning B: Planning and Design, pp.767-769, 2014.

H. A. Makse, J. S. Andrade, M. Batty, S. Havlin, and H. E. Stanley, Modeling urban growth patterns with correlated percolation, Physical Review E, vol.26, issue.6, pp.7054-7062, 1998.
DOI : 10.1080/00343409212331347101
URL : http://arxiv.org/pdf/cond-mat/9809431

C. Manski, Economic analysis of social interactions. The journal of economic perspectives, pp.115-136, 2000.

P. V. Marsden and N. E. Friedkin, Network studies of social influence Advances in Social Network Analysis: Research in the Social and Behavioral Sciences, pp.3-25, 1994.

J. Marull and J. M. Mallarach, A GIS methodology for assessing ecological connectivity: application to the Barcelona Metropolitan Area, Landscape and Urban Planning, vol.71, issue.2-4, pp.243-262, 2005.
DOI : 10.1016/S0169-2046(04)00079-9

H. Mathian and M. Piron, Echelles géographiques et méthodes statistiques multidimensionnelles (dir) Modèles en analyse spatiale, Collection Traité IGAT, Série Aspects fondamentaux de l'analyse spatiale, pp.62-103, 2001.

H. Mathian and L. Sanders, Objets géographiques et processus de changement. Approches spatio-temporelles. Collection Systèmes d'information géographique, ISTE Edition, 2014.

H. Mathian and C. Tannier, Formalisation des interactions spatiales dans les modèles multiagents : essai d'analyse comparative. Revue internationale de géomatique, pp.393-414, 2015.
DOI : 10.3166/rig.25.393-414

E. S. Mills, Transportation and patterns of urban development An Aggregative Model of Resource Allocation in a Metropolitan Area, Papers and Proceedings of the Seventy-ninth Annual Meeting of the American Economic Association, pp.197-210, 1967.

H. Minkowski, Volumen und Oberfl???che, Mathematische Annalen, vol.57, issue.4, pp.447-495, 1903.
DOI : 10.1007/BF01445180

M. L. Minsky, Matter, Mind and Models. International Federation of Information Processing Congress, pp.45-49, 1965.

H. Monod, C. Naud, and D. Makowski, Uncertainty and sensitivity analysis for crop models Working with dynamic crop models: evaluating, analysing, parameterizing and using them, pp.55-100, 2006.

F. Moriconi-ebrard, L'urbanisation du monde, 1993.
URL : https://hal.archives-ouvertes.fr/halshs-01245113

J. Muller, MAP GRIDDING AND CARTOGRAPHIC ERRORS / A RECURRENT ARGUMENT, Cartographica: The International Journal for Geographic Information and Geovisualization, vol.14, issue.2, pp.152-167, 1978.
DOI : 10.3138/5138-1151-4651-1X60

R. F. Muth, Cities and housing: the spatial pattern of urban residential land use, 1969.

J. Nadal and M. B. Gordon, Statistical physics of collective phenomena in social and economic sciences, Math??matiques et sciences humaines, vol.43, issue.172, pp.65-88, 2005.
DOI : 10.4000/msh.2969

T. A. Ngo and L. M. See, Calibration and validation of agent-based models of land cover change Agent-based models of geographical systems, pp.181-197, 2012.

M. Niang and W. O. Soboyejo, On the Use of Quasi-crystal and Fractal Concepts in the Design of Affordable Rural/Urban Landscapes, Perspectives on Global Development and Technology, vol.5, issue.4, pp.411-421, 2006.
DOI : 10.1163/156915006779206060

S. Nordbeck, Urban Allometric Growth, Geografiska Annaler: Series B, Human Geography, vol.1, issue.1, pp.54-67, 1971.
DOI : 10.1080/04353684.1971.11879355

J. A. Oliveira, O. Balaban, C. N. Doll, R. M. Peñaranda, A. Gasparatos et al., Cities and biodiversity: Perspectives and governance challenges for implementing the convention on biological diversity (CBD) at the city level, Biological Conservation, vol.144, issue.5, pp.1302-1313, 2011.
DOI : 10.1016/j.biocon.2010.12.007

J. Onaka and W. Et-clark, A Disaggregate Model of Residential Mobility and Housing Choice, Geographical Analysis, vol.15, issue.4, pp.287-304, 1983.
DOI : 10.1007/978-94-009-7395-4

S. Openshaw, Le problème de l'agrégation spatiale en géographie. L'Espace Géographique, pp.15-24, 1981.

S. Openshaw, The Modifiable Areal Unit Problem. Concepts and Techniques in Modern Geography, 1983.

O. Orain, La géographie française face à la notion d'échelle. Une approche par les significations et les contenus épistémologiques. Cours dans le cadre de la question d'agrégation "Échelles et temporalités en géographie, pp.2-24, 2004.

A. Páez, D. M. Scott, and E. Volz, A discrete-choice approach to modeling social influence on individual decision making. Environment and Planning B: Planning and Design, pp.1055-1069, 2008.

V. Pareto, La courbe de la répartition de la richesse In Recueil publié par la faculté de droit à l'occasion de l'exposition nationale suisse, pp.373-387, 1896.

F. J. Hornero, Fractal and multifractal characterization of the scaling geometry of an urban bus-transport network. Computers, Environment and Urban Systems, pp.229-238, 2017.

D. Peeters, G. Caruso, J. Cavailhès, I. Thomas, P. Frankhauser et al., EMERGENCE OF LEAPFROGGING FROM RESIDENTIAL CHOICE WITH ENDOGENOUS GREEN SPACE: ANALYTICAL RESULTS, Journal of Regional Science, vol.38, issue.4, pp.491-512, 2015.
DOI : 10.1006/juec.1995.1029
URL : https://hal.archives-ouvertes.fr/hal-01071509

P. Pellegrini and A. Fotheringham, Modelling spatial choice: a review and synthesis in a migration context, Progress in Human Geography, vol.3, issue.1, pp.487-510, 2002.
DOI : 10.1007/978-94-009-1009-6_1

D. Phan, J. Müller, C. Sibertin-blanc, J. Ferber, and P. Livet, Introduction à la modélisation par SMA en SHS : comment fait-on une ontologie ?, Ontologies et modélisation par SMA en SHS, Hermès Lavoisier, pp.21-52, 2014.

A. K. Philbrick, Principles of areal functional organisation in regional human geography, Economic Geography, vol.33, issue.4, pp.229-336, 1957.

P. Pinchemel, Une liste de concepts. L'Espace Géographique, XVIII(2) « La géographie et ses enseignements, pp.134-135, 1989.
DOI : 10.3406/spgeo.1989.2865

C. Plumejeaud, H. Mathian, J. Gensel, and C. Grasland, Spatio-temporal analysis of territorial changes from a multi-scale perspective, International Journal of Geographical Information Science, vol.25, issue.10, pp.1597-1612, 2011.
DOI : 10.1111/1467-9671.00012
URL : https://hal.archives-ouvertes.fr/hal-00953145

H. M. Proshansky, The City and Self-Identity, Environment and Behavior, vol.44, issue.2, pp.147-170, 1978.
DOI : 10.1086/217913

D. Pumain, Pour une théorie évolutive des villes. L'Espace Géographique, pp.119-134, 1997.
DOI : 10.3406/spgeo.1997.1063
URL : http://www.persee.fr/docAsPDF/spgeo_0046-2497_1997_num_26_2_1063.pdf

D. Pumain, Alternative Explanations of Hierarchical Differentiation in Urban Systems, D. Pumain Hierarchy in Natural and Social Sciences, pp.169-222, 2006.
DOI : 10.1007/1-4020-4127-6_8
URL : https://hal.archives-ouvertes.fr/halshs-00145933

D. Pumain, F. Paulus, C. Vacchiani-marcuzzo, and J. Lobo, Une th??orie ??volutive pour expliquer les lois d'??chelle dans les syst??mes de villes, Cybergeo, p.343, 2006.
DOI : 10.1126/science.284.5420.1677

D. Pumain, Lois d'échelle et mesure des inégalités en géographie. Revue européenne des sciences sociales, pp.55-65, 2007.

D. Pumain, Commentaire??: Transition fractal-non fractal et objets g??ographiques, Espace g??ographique, vol.39, issue.2, pp.113-116, 2010.
DOI : 10.3917/eg.392.0113

D. Pumain, Dynamics of geographical entities and scaling laws in complex systems: the ergodicity issue, Math??matiques et sciences humaines, vol.191, issue.191, pp.5-18, 2010.
DOI : 10.4000/msh.11816

D. Pumain, Une théorie géographique pour la loi de Zipf, Région et Développement, vol.36, pp.31-54, 2012.

D. Pumain, Commentaire sur le chapitre 3 -Les fractales doivent-elles guider l'aménagement urbain ? In G. Dupuy (dir) Villes, réseaux et transport. Le défi fractal, Economica, Collection "Méthodes et approches, pp.113-119, 2017.

W. Quine and O. Van, Du point de vue logique. Neuf essais logico-philosophiques. (1 ère éd, 1953.

J. Racine, C. Raffestin, and V. Ruffy, Echelle et action, contributions à une interprétation du mécanisme de l'échelle dans la pratique de la géographie, Geographica Helvetica, vol.35, issue.5, pp.87-94, 1980.

L. Ravenel, Dossier pédagogique : la présence d'étrangers entraîne-t-elle le vote pour l'extrême droite, Espace, populations, sociétés, pp.541-547, 2003.
DOI : 10.3406/espos.2003.2108
URL : http://www.persee.fr/docAsPDF/espos_0755-7809_2003_num_21_3_2108.pdf

G. E. Ravenstein, The Laws of Migration, Journal of the Statistical Society of London, vol.48, issue.2, pp.167-235, 1885.
DOI : 10.2307/2979181

G. E. Ravenstein, The Laws of Migration, Journal of the Royal Statistical Society, vol.52, issue.2, pp.241-305, 1889.
DOI : 10.2307/2979333

A. Reggiani and P. Nijkamp, Did Zipf anticipate spatial connectivity structures? Environment and Planning B: Planning and Design, pp.468-489, 2015.
DOI : 10.1068/b120012p

A. Rey, Dictionnaire historique de la langue français -Article « Modèle, 2010.

H. Reymond, Pour une problématique théorique, pp.163-262, 1981.

M. Richiardi, R. Leombruni, N. Saam, and M. Sonnessa, A common protocol for agent-based social simulation, Journal of Artificial Societies and Social Simulation, vol.9, issue.1, 2006.

P. Ricoeur, Histoire et Vérité. 2 nde édition, Points, collection Essais, 1964.

C. Rozenblat, Opening the Black Box of Agglomeration Economies for Measuring Cities??? Competitiveness through International Firm Networks, Urban Studies, vol.53, issue.3, pp.2841-2865, 2010.
DOI : 10.1111/j.1467-6486.1993.tb00298.x

H. D. Rozenfeld, D. Rybski, X. Gabaix, and H. A. Makse, The Area and Population of Cities: New Insights from a Different Perspective on Cities, American Economic Review, vol.101, issue.5, pp.2205-2225, 2011.
DOI : 10.1257/aer.101.5.2205

A. Saltelli, K. Chan, and E. Scott, Sensitivity analysis, 2000.
URL : https://hal.archives-ouvertes.fr/inria-00386559

N. Salingaros and B. West, A universal rule for the distribution of sizes. Environment and Planning B: Planning and Design, pp.909-923, 1999.

L. Sanders, Objets g??ographiques et simulation agent, entre th??matique et m??thodologie, Revue internationale de g??omatique, vol.17, issue.2, pp.135-160, 2007.
DOI : 10.3166/geo.17.135-160

L. Sanders, Un cadre conceptuel pour modéliser les grandes transitions des systèmes de peuplements de 70 000 BP à aujourd'hui, pp.5-19, 2014.

J. Savard, P. Clergeau, and G. Mennechez, Biodiversity concepts and urban ecosystems, Landscape and Urban Planning, vol.48, issue.3-4, pp.131-142, 2000.
DOI : 10.1016/S0169-2046(00)00037-2

J. Say, Traité d'économie politique, ou simple exposition de la manière dont se forment les richesses, 1803.

F. Schaeffer, Exceptionalism in Geography : A Methodological Examination Annals of the Association of American Geographers, pp.226-249, 1953.

C. Schmitt, S. Rey-coyrehourcq, R. Reuillon, and D. Pumain, Half a Billion Simulations: Evolutionary Algorithms and Distributed Computing for Calibrating the Simpoplocal Geographical Model, Environment and Planning B: Planning and Design, vol.18, issue.2, pp.300-315, 2015.
DOI : 10.1007/BFb0056872
URL : https://hal.archives-ouvertes.fr/hal-01118918

M. Schouten, T. Verwaart, and W. Heijman, Comparing two sensitivity analysis approaches for two scenarios with a spatially explicit rural agent-based model, Environmental Modelling & Software, vol.54, pp.196-210, 2014.
DOI : 10.1016/j.envsoft.2014.01.003

T. Schwanen, F. M. Dieleman, and M. Dijst, Travel behaviour in Dutch monocentric and policentric urban systems, Journal of Transport Geography, vol.9, issue.3, pp.173-186, 2001.
DOI : 10.1016/S0966-6923(01)00009-6

T. Schwanen, M. Dijst, and F. M. Dieleman, Policies for Urban Form and their Impact on Travel: The Netherlands Experience, Urban Studies, vol.9, issue.3, pp.579-603, 2004.
DOI : 10.1596/0-8213-2434-9

F. Schweitzer and J. Steinbrink, Analysis and Computer Simulation of Urban Cluster Distributions, Principles of Urban Growth, pp.142-157, 2002.

F. Sémécurbe, C. Tannier, and S. Roux, Spatial Distribution of Human Population in France: Exploring the Modifiable Areal Unit Problem Using Multifractal Analysis, Geographical Analysis, vol.4, issue.4, pp.292-313, 2016.
DOI : 10.1016/0960-0779(94)90066-3

F. Sémécurbe, C. Tannier, and S. G. Roux, Is the shape of the city determined by its surrounding settlements? An answer for French cities using a Geographically Weighted Fractal Analysis, Journal of Geographical Systems. Références bibliographiques

G. Shen, Fractal dimension and fractal growth of urbanized areas, International Journal of Geographical Information Science, vol.72, issue.5, pp.437-519, 2002.
DOI : 10.2307/490553

K. Soo, Zipf's Law for cities: a cross-country investigation, Regional Science and Urban Economics, vol.35, issue.3, pp.239-263, 2005.
DOI : 10.1016/j.regsciurbeco.2004.04.004
URL : http://cep.lse.ac.uk/pubs/download/dp0641.pdf

A. E. Stamps, Fractals, skylines, nature and beauty, Landscape and Urban Planning, vol.60, issue.3, pp.163-184, 2002.
DOI : 10.1016/S0169-2046(02)00054-3

J. Q. Stewart, A Measure of the Influence of a Population at a Distance, Sociometry, vol.5, issue.1, pp.63-71, 1942.
DOI : 10.2307/2784954

J. Q. Stewart, Demographic Gravitation: Evidence and Applications, Sociometry, vol.11, issue.1/2, pp.31-58, 1948.
DOI : 10.2307/2785468

Z. Sun, I. Lorscheid, J. D. Millington, S. Lauf, N. R. Magliocca et al., Simple or complicated agent-based models? A complicated issue. Environmental Modelling & Software, pp.56-67, 2016.
DOI : 10.1016/j.envsoft.2016.09.006

H. Tajfel and J. C. Turner, The social identity theory of intergroup behavior, 1986.

. Austin, Psychology of intergroup relations, pp.7-24

C. Tannier, M. Bourgeois, H. Houot, and J. Foltête, Impact of urban developments on the functional connectivity of forested habitats: a joint contribution of advanced urban models and landscape graphs, Land Use Policy, vol.52, pp.76-91, 2016.
DOI : 10.1016/j.landusepol.2015.12.002
URL : https://hal.archives-ouvertes.fr/hal-01250399

C. Tannier, M. Bourgeois, and M. Frémond, Simulation de scénarios fractals d'urbanisation et des mobilités quotidiennes résultantes (chap. 5) (dir) Villes, réseaux et transport. Le défi fractal, Economica, Collection "Méthodes et approches, pp.155-189, 2017.

C. Tannier, J. Foltête, and X. Girardet, Assessing the capacity of different urban forms to preserve the connectivity of ecological habitats, Landscape and Urban Planning, vol.105, issue.1-2, pp.128-139, 2012.
DOI : 10.1016/j.landurbplan.2011.12.008
URL : https://hal.archives-ouvertes.fr/hal-00815177

C. Tannier, A. Franc, M. Ouriachi, and E. Zadora-rio, Entre modèles et récits, les transitions dans les systèmes de peuplement (TransMonDyn) (chap. 14) (dir) Transitions dans les systèmes de peuplement : observer, interpréter et simuler l

C. Tannier, J. Hirtzel, R. Stephenson, A. Couillet, G. Vuidel et al., Conception and use of an individual-based model of residential choice in a planning decision process. Feedback from an experimental trial in the city of Besan??on, France, Progress in Planning, vol.108, pp.1-38, 2016.
DOI : 10.1016/j.progress.2015.04.001
URL : https://hal.archives-ouvertes.fr/hal-01167928

C. Tannier, M. Morer, and D. Ansel, La décision spatiale, entre choix individuels et références collectives (chap. 6) (dir) La décision d'habiter ici ou ailleurs, pp.147-174, 2012.

C. Tannier and D. Pumain, Fractales et g??ographie urbaine??: aper??u th??orique et application pratique, Cybergeo, p.307, 2005.
DOI : 10.1016/0960-0779(94)90066-3

C. Tannier, I. Thomas, G. Vuidel, and P. Frankhauser, A Fractal Approach to Identifying Urban Boundaries. ?????????????????????????????????, Geographical Analysis, vol.4, issue.(4), pp.211-227, 2011.
DOI : 10.1016/0960-0779(94)90066-3
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.41-234, 2013.
DOI : 10.1016/j.compenvurbsys.2013.07.003
URL : https://hal.archives-ouvertes.fr/hal-00858202

C. Tannier, G. Vuidel, P. Frankhauser, and H. Houot, Simulation fractale d'urbanisation -MUPcity , un modèle multi-échelle pour localiser de nouvelles implantations résidentielles, pp.303-329, 2010.
DOI : 10.3166/rig.20.303-329

C. Tannier, G. Vuidel, H. Houot, and P. Frankhauser, Spatial accessibility to amenities in fractal and non fractal urban patterns. Environment and Planning B: Planning and Design, pp.801-819, 2012.
DOI : 10.1068/b37132
URL : https://hal.archives-ouvertes.fr/hal-00804263

C. Tannier, E. Zadora-rio, S. Leturcq, X. Rodier, and E. Lorans, Une ontologie pour décrire les transformations du système de peuplement européen entre 800 et 1100 (chap. 13) (dir) Ontologies et modélisation par SMA en SHS, pp.289-310, 2014.

J. Theiler, Estimating fractal dimension, Journal of the Optical Society of America A, vol.7, issue.6, pp.1055-1073, 1990.
DOI : 10.1364/JOSAA.7.001055

R. Thom, Prédire n'est pas expliquer, 1993.

I. Thomas, P. Frankhauser, and M. De-keersmaecker, Fractal dimension versus density of built-up surfaces in the periphery of Brussels, Papers in Regional Science, vol.32, issue.2, pp.287-307, 2007.
DOI : 10.1068/a251175
URL : https://hal.archives-ouvertes.fr/hal-00731651

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, issue.2, pp.99-115, 2008.
DOI : 10.1016/j.landurbplan.2007.07.002
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, issue.5, pp.942-954, 2010.
DOI : 10.1068/b36039
URL : https://hal.archives-ouvertes.fr/hal-00731652

I. Thomas, P. Frankhauser, and D. Badariotti, Comparing the fractality of European urban neighbourhoods: do national contexts matter?, Journal of Geographical Systems, vol.25, issue.8, pp.189-208, 2012.
DOI : 10.1068/a251175
URL : https://hal.archives-ouvertes.fr/halshs-00819251

I. Thomas, C. Tannier, and P. Frankhauser, Is there a link between fractal dimensions and other indicators of the built-up environment at a regional level, Cybergeo: European Journal of Geography, p.413, 2008.
URL : https://hal.archives-ouvertes.fr/halshs-00461204

W. Tobler, Geographical Filters and their Inverses*, Geographical Analysis, vol.12, issue.3, pp.234-253, 1969.
DOI : 10.1179/caj.1966.3.1.10

W. Tobler, A Computer Movie Simulating Urban Growth in the Detroit Region, Economic Geography, vol.46, issue.2, pp.234-240, 1970.
DOI : 10.2307/143141

W. Tobler and S. A. Wineburg, A Cappadocian Speculation, Nature, vol.2, issue.5297, pp.231-270, 1971.
DOI : 10.1080/00437956.1956.11659599

W. Tobler, Cellular Geography, Philosophy in Geography, pp.379-386, 1979.
DOI : 10.1007/978-94-009-9394-5_18

W. Tobler, Frame independent spatial analysis Accuracy of spatial databases, pp.115-222, 1990.

W. Tobler, MIGRATION: RAVENSTEIN, THORNTHWAITE, AND BEYOND, Urban Geography, vol.16, issue.4, pp.327-343, 1995.
DOI : 10.2307/2087063

W. Tobler, On the First Law of Geography: A Reply, Annals of the Association of American Geographers, pp.304-310, 2004.

M. Toger, D. Malkinson, I. Benenson, and D. Czamanski, The connectivity of Haifa urban open space network. Environment and Planning B: Planning and Design, pp.848-870, 2016.

C. Twigger-ross and D. Uzzel, PLACE AND IDENTITY PROCESSES, Journal of Environmental Psychology, vol.16, issue.3, pp.205-220, 1996.
DOI : 10.1006/jevp.1996.0017

E. L. Ullman, Geography as spatial interaction, Interregional Linkages (Proceedings of the Western Committee on Regional Economic Analysis), pp.63-71, 1954.

C. Vandermotten, M. G. Roelandts, L. Halbert, and P. Cornut, European planning and the polycentric consensus: Wishful thinking? Regional Studies, pp.42-1205, 2008.

E. Van-hecke, J. Halleux, J. Decroly, and B. Mérenne-schoumacker, Noyaux d'habitat et Régions urbaines dans une Belgique urbanisée, 2009.

F. Varenne, Les simulations computationnelles dans les sciences sociales. Nouvelles perspectives en sciences sociales, pp.17-49, 2010.
DOI : 10.7202/044073ar
URL : https://hal.archives-ouvertes.fr/hal-00776363

F. Varenne, La sous-détermination des modèles explicatifs par les lois empiriques : un problème récurrent mais fécond en géographie de modélisation (dir) Modélisations et sciences humaines ? Figurer, pp.85-102, 2016.

F. Varenne, Théories et modèles en sciences humaines. Le cas de la géographie. Éditions Matériologiques, Collection "Modélisations, simulations, systèmes complexes, 2017.

T. Vicsek, Mass multifractals. Physica A: Statistical Mechanics and its Applications, pp.490-497, 1990.
DOI : 10.1016/0378-4371(90)90401-d

P. Vidal-de-la-blache, Des caract??res distinctifs de la g??ographie, Annales de G??ographie, vol.22, issue.124, pp.289-299, 1913.
DOI : 10.3406/geo.1913.8245

J. Van-vliet, R. White, and S. Dragicevic, Modeling urban growth using a variable grid cellular automaton, Computers, Environment and Urban Systems, vol.33, issue.1, pp.35-43, 2009.
DOI : 10.1016/j.compenvurbsys.2008.06.006

C. A. Vogt and R. W. Marans, Natural resources and open space in the residential decision process: a study of recent movers to fringe counties in southeast Michigan, Landscape and Urban Planning, vol.69, issue.2-3, pp.255-269, 2004.
DOI : 10.1016/j.landurbplan.2003.07.006

R. J. Vyn, Examining for Evidence of the Leapfrog Effect in the Context of Strict Agricultural Zoning, Land Economics, vol.88, issue.3, pp.457-477, 2012.
DOI : 10.3368/le.88.3.457

C. Weber, Urban Agglomeration Delimitation using Remote Sensing Data, 2001.
DOI : 10.4324/9780203306062_chapter_8

P. Barnsley, Longley (eds) Remote Sensing and Urban Analysis, pp.145-159

W. Weidlich, Sociodynamics: a systematic approach to mathematical modelling in the social sciences. Re-publication by, 2000.

H. Wendt, P. Abry, S. G. Roux, S. Jaffard, and B. Vedel, Analyse multifractale d'image : l'apport des coefficients dominants, Traitement du Signal, vol.26, issue.1, pp.47-65, 2009.
URL : https://hal.archives-ouvertes.fr/ensl-00160166

G. B. West, Scale and Dimension -From Animals to Quarks Particle Physics. A Los Alamos Primer, pp.2-11, 1988.

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.72, issue.4, pp.25-1175, 1993.
DOI : 10.2307/490553

R. White and G. Engelen, Urban systems dynamics and cellular automata: Fractal structures between order and chaos, Chaos, Solitons & Fractals, vol.4, issue.4, pp.563-583, 1994.
DOI : 10.1016/0960-0779(94)90066-3

R. White, W. Luo, and E. Hatna, Fractal Structures in Land Use Patterns of European Cities: form and Process, 12th European Colloquium on Quantitative and Theoretical Geography, Saint- Valéry-en, 2001.

R. White, Modelling multi-scale processes in a cellular automata framework Complex Artificial Environments -Simulation, Cognition and VR in the Study and Planning of Cities, pp.165-177, 2005.

X. Zadora-rio and E. , Des paroisses de Touraine aux communes d'Indre-et-Loire : la formation des territoires, Revue Archéologique du Centre de la France, 2008.
URL : https://hal.archives-ouvertes.fr/halshs-00378136

M. L. Zellner, Embracing complexity and uncertainty: the potential of agent-based modeling for environmental planning and policy. Planning Theory and Practice, pp.437-457, 2008.

G. K. Zipf, Human Behavior and the Principle of the Least Effort ? An Introduction to Human Ecology, 1949.