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      Tools for mapping multi-scale settlement patterns of building footprints: An introduction to the R package foot

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      PLoS ONE
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          Abstract

          Spatial datasets of building footprint polygons are becoming more widely available and accessible for many areas in the world. These datasets are important inputs for a range of different analyses, such as understanding the development of cities, identifying areas at risk of disasters, and mapping the distribution of populations. The growth of high spatial resolution imagery and computing power is enabling automated procedures to extract and map building footprints for whole countries. These advances are enabling coverage of building footprint datasets for low and middle income countries which might lack other data on urban land uses. While spatially detailed, many building footprints lack information on structure type, local zoning, or land use, limiting their application. However, morphology metrics can be used to describe characteristics of size, shape, spacing, orientation and patterns of the structures and extract additional information which can be correlated with different structure and settlement types or neighbourhoods. We introduce the foot package, a new set of open-source tools in a flexible R package for calculating morphology metrics for building footprints and summarising them in different spatial scales and spatial representations. In particular our tools can create gridded (or raster) representations of morphology summary metrics which have not been widely supported previously. We demonstrate the tools by creating gridded morphology metrics from all building footprints in England, Scotland and Wales, and then use those layers in an unsupervised cluster analysis to derive a pattern-based settlement typology. We compare our mapped settlement types with two existing settlement classifications. The results suggest that building patterns can help distinguish different urban and rural types. However, intra-urban differences were not well-predicted by building morphology alone. More broadly, though, this case study demonstrates the potential of mapping settlement patterns in the absence of a housing census or other urban planning data.

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          A Mathematical Theory of Communication

          C. Shannon (1948)
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            Simple Features for R: Standardized Support for Spatial Vector Data

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              mclust 5: Clustering, Classification and Density Estimation Using Gaussian Finite Mixture Models.

              Finite mixture models are being used increasingly to model a wide variety of random phenomena for clustering, classification and density estimation. mclust is a powerful and popular package which allows modelling of data as a Gaussian finite mixture with different covariance structures and different numbers of mixture components, for a variety of purposes of analysis. Recently, version 5 of the package has been made available on CRAN. This updated version adds new covariance structures, dimension reduction capabilities for visualisation, model selection criteria, initialisation strategies for the EM algorithm, and bootstrap-based inference, making it a full-featured R package for data analysis via finite mixture modelling.
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                Author and article information

                Contributors
                Role: ConceptualizationRole: Formal analysisRole: MethodologyRole: SoftwareRole: Writing – original draftRole: Writing – review & editing
                Role: ConceptualizationRole: Funding acquisitionRole: MethodologyRole: SupervisionRole: Writing – original draftRole: Writing – review & editing
                Role: Editor
                Journal
                PLoS One
                PLoS One
                plos
                plosone
                PLoS ONE
                Public Library of Science (San Francisco, CA USA )
                1932-6203
                25 February 2021
                2021
                : 16
                : 2
                : e0247535
                Affiliations
                [001]WorldPop, School of Geography and Environmental Science, University of Southampton, Southampton, United Kingdom
                China University of Geosciences, CHINA
                Author notes

                Competing Interests: The authors have declared that no competing interests exist.

                Author information
                https://orcid.org/0000-0003-2192-5988
                Article
                PONE-D-20-38873
                10.1371/journal.pone.0247535
                7906393
                33630905
                c91682a9-fcf0-49cf-b388-361ce2e1cb2f
                © 2021 Jochem, Tatem

                This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

                History
                : 10 December 2020
                : 8 February 2021
                Page count
                Figures: 5, Tables: 3, Pages: 19
                Funding
                Funded by: funder-id http://dx.doi.org/10.13039/100000865, Bill and Melinda Gates Foundation;
                Award ID: OPP1182425
                Award Recipient : Andrew J Tatem
                Funding support comes from the Bill and Melinda Gates Foundation and the United Kingdom Foreign, Commonwealth & Development Office as part of the Geo-Referenced Infrastructure and Demographic Data for Development project (GRID3) (OPP1182425). Project partners in GRID3 include the WorldPop Research Group, the United Nations Population Fund, the Flowminder Foundation, and the Center for International Earth Science Information Network within the Earth Institute at Columbia University.
                Categories
                Research Article
                Social Sciences
                Linguistics
                Linguistic Morphology
                Earth Sciences
                Geography
                Human Geography
                Urban Geography
                Urban Areas
                Social Sciences
                Human Geography
                Urban Geography
                Urban Areas
                Earth Sciences
                Geography
                Geographic Areas
                Urban Areas
                Earth Sciences
                Geography
                Human Geography
                Urban Geography
                Cities
                Social Sciences
                Human Geography
                Urban Geography
                Cities
                Earth Sciences
                Geography
                Human Geography
                Settlement Patterns
                Social Sciences
                Human Geography
                Settlement Patterns
                Earth Sciences
                Geography
                Paleogeography
                Settlement Patterns
                Biology and Life Sciences
                Paleontology
                Paleogeography
                Settlement Patterns
                Earth Sciences
                Paleontology
                Paleogeography
                Settlement Patterns
                Research and Analysis Methods
                Research Design
                Survey Research
                Census
                Ecology and Environmental Sciences
                Terrestrial Environments
                Urban Environments
                Science Policy
                Open Science
                Open Data
                Ecology and Environmental Sciences
                Terrestrial Environments
                Built Environment
                Custom metadata
                All data supporting this study are openly available from the University of Southampton repository at https://doi.org/10.5258/SOTON/D1674.

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