Proximity Expansion Index: An improved approach to characterize evolution process of urban expansion

Adepeju, 2016, Novel evaluation metrics for sparse spatio-temporal point process hotspot predictions - a crime case study, International Journal of Geographical Information Science, 30, 2133, 10.1080/13658816.2016.1159684 Alberti, 2000, An integrated urban development and ecological simulation model, Integrated Assessment, 1, 215, 10.1023/A:1019140101212 Angel, 2011, The dimensions of global urban expansion: Estimates and projections for all countries, 2000–2050, Progress in Planning, 75, 53, 10.1016/j.progress.2011.04.001 Angel, 2005 Bailey, 1995, Interactive spatial data analysis, vol. 413 Bhatta, 2010, Quantifying the degree-of-freedom, degree-of-sprawl, and degree-of-goodness of urban growth from remote sensing data, Applied Geography, 30, 96, 10.1016/j.apgeog.2009.08.001 Blumenfeld, 1954, The tidal wave of metropolitan expansion, Journal of the American Institute of Planners, 20, 3, 10.1080/01944365408979167 Boyce, 1966, The edge of the metropolis: The wave theory analog approach, British Columbia Geographical Series, 7, 31 Chen, 2015, Impact assessment of land use planning driving forces on environment, Environmental Impact Assessment Review, 55, 126, 10.1016/j.eiar.2015.08.001 Csillag, 2002, Wavelets, boundaries, and the spatial analysis of landscape pattern, Écoscience, 9, 177, 10.1080/11956860.2002.11682704 Deng, 2009, Spatio-temporal dynamics and evolution of land use change and landscape pattern in response to rapid urbanization, Landscape and Urban Planning, 92, 187, 10.1016/j.landurbplan.2009.05.001 Dietzel, 2005, Spatio-temporal dynamics in California's Central Valley: Empirical links to urban theory, International Journal of Geographical Information Science, 19, 175, 10.1080/13658810410001713407 Dietzel, 2005, Diffusion and coalescence of the Houston Metropolitan Area: Evidence supporting a new urban theory, Environment and Planning B: Planning and Design, 32, 231, 10.1068/b31148 Duncan, 1962, Patterns of city growth, American Journal of Sociology, 67, 418, 10.1086/223165 Ellman, 1997, Infill: The cure for sprawl, Arizona Issue Analysis, 146, 7 Ewing, 1997, Is Los Angeles-style sprawl desirable? American Planning Association, Journal of the American Planning Association, 63, 107, 10.1080/01944369708975728 Ewing, 2002, Measuring Sprawl and Its Impact, Smart Growth America, 57, 42 Forman, 2014 Hoover, 1959 Imbernon, 2001, Characterization of landscape patterns of deforestation in tropical rain forests, International Journal of Remote Sensing, 22, 1753, 10.1080/01431160118426 Irwin, 2007, The evolution of urban sprawl: Evidence of spatial heterogeneity and increasing land fragmentation, Proceedings of the National Academy of Sciences, 104, 20672, 10.1073/pnas.0705527105 Jaeger, 2014, Improving the measurement of urban sprawl: Weighted Urban Proliferation (WUP) and its application to Switzerland, Ecological Indicators, 38, 294, 10.1016/j.ecolind.2013.11.022 Jenks, 1967, The data model concept in statistical mapping, International Yearbook of Cartography, 7, 186 Jiao, 2015, Urban land density function: A new method to characterize urban expansion, Landscape and Urban Planning, 139, 26, 10.1016/j.landurbplan.2015.02.017 Jiao, 2015, Multi-order Landscape Expansion Index: Characterizing urban expansion dynamics, Landscape and Urban Planning, 137, 30, 10.1016/j.landurbplan.2014.10.023 Kasanko, 2006, Are European cities becoming dispersed?. A comparative analysis of 15 European urban areas, Landscape and Urban Planning, 77, 111, 10.1016/j.landurbplan.2005.02.003 Krummel, 1987, Landscape patterns in a disturbed environment, Oikos, 321, 10.2307/3565520 Laidley, 2016, Measuring sprawl, Urban Affairs Review, 52, 66, 10.1177/1078087414568812 Lausch, 2015, Understanding and quantifying landscape structure - a review on relevant process characteristics, data models and landscape metrics, Ecological Modelling, 295, 31, 10.1016/j.ecolmodel.2014.08.018 Leibovici, 2014, Local and global spatio-temporal entropy indices based on distance-ratios and co-occurrences distributions, International Journal of Geographical Information Science, 28, 1061, 10.1080/13658816.2013.871284 Li, 2004, Use and misuse of landscape Índices, Landscape Ecology, 19, 389, 10.1023/B:LAND.0000030441.15628.d6 Liu, 2010, A new landscape index for quantifying urban expansion using multi-temporal remotely sensed data, Landscape Ecology, 25, 671, 10.1007/s10980-010-9454-5 Luck, 2002, A gradient analysis of urban landscape pattern: A case study from the Phoenix metropolitan region, Arizona, USA, Landscape Ecology, 17, 327, 10.1023/A:1020512723753 Matsushita, 2006, Characterizing the changes in landscape structure in the Lake Kasumigaura Basin, Japan using a high-quality GIS dataset, Landscape and Urban Planning, 78, 241, 10.1016/j.landurbplan.2005.08.003 McGarigal, 1994, 97331(503), 67 Newling, 1969, The spatial variation of urban population densities, Geographical Review, 242, 10.2307/213456 O'Neill, 1988, Indices of landscape pattern, Landscape Ecology, 1, 153, 10.1007/BF00162741 Plotnick, 1993, Lacunarity indices as measures of landscape texture, Landscape Ecology, 8, 201, 10.1007/BF00125351 Redman, 1999, Human dimensions of ecosystem studies, Ecosystems, 2, 296, 10.1007/s100219900079 Riitters, 1995, A factor analysis of landscape pattern and structure metrics, Landscape Ecology, 10, 23, 10.1007/BF00158551 Rossi-hansberg, 2007, Urban structure and growth, Review of Economic Studies, 74, 597, 10.1111/j.1467-937X.2007.00432.x Siedentop, 2010 United Nations, 2014 Wang, 2008, Erratum: Landscape based identification of human disturbance gradients and reference conditions for Michigan streams (Environmental Monitoring Assessment (2008) vol. 141 (1-17) 10.1007/s10661-006-9510-4), Environmental Monitoring and Assessment, 144, 483, 10.1007/s10661-008-0397-0 Wilson, 2003, Development of a geospatial model to quantify, describe and map urban growth, Remote Sensing of Environment, 86, 275, 10.1016/S0034-4257(03)00074-9 Winsborough, 1962, City growth and city structure, Journal of Regional Science, 4, 35, 10.1111/j.1467-9787.1962.tb00903.x Wu, 2011, Quantifying spatiotemporal patterns of urbanization: The case of the two fastest growing metropolitan regions in the United States, Ecological Complexity, 8, 1, 10.1016/j.ecocom.2010.03.002 Xu, 2007, The spatiotemporal dynamics of rapid urban growth in the Nanjing metropolitan region of China, Landscape Ecology, 22, 925, 10.1007/s10980-007-9079-5 Zhang, 2006, Vector analysis theory on landscape pattern (VATLP), Ecological Modelling, 193, 492, 10.1016/j.ecolmodel.2005.08.022