Supplementary Material Appendix 1: Selection and delimitation of city areas The 13 study cities used for our analyses were selected on the basis of their associated ‘Urban Area’ human population size, as recorded during the last census in 2001 (Table S1; [1]). The boundaries of these 'Urban Areas' were defined by Ordnance Survey for what is now the Department of Communities and Local Government on the basis of physical urban limits in 2001 [2], corresponding boundaries having been defined for use with the 1981 and 1991 censuses. As these boundaries differ for each period, they cannot be used directly to examine temporal trends in urban land-use and population size. We therefore defined a fixed sampling area for each city, including the physical urban area at each census, but extending into the adjoining administrative area. Appendix 2: Temporal changes in urban land-use Landsat Thematic Mapper (TM) images, comprising six spectral bands at a spatial resolution of 30 x 30 m, were used to explore areal changes in urban land-use. The Landsat data were acquired for spring/summer (April–September) during the three years for which comparable data were available: 1991, 2001, and 2006. Eight image scenes were needed to cover the 13 cities in each year. Some data from 2006 images (<5% in total) were not available due to defective sensors. In these cases, data from 2001 were used to complete the images; changes in land-use between 2001 and 2006 may, therefore, represent a slight underestimate of that which actually occurred. The Landsat data were downloaded from the Global Land Cover Facility (GLCF; http://glcf.umiacs.umd.edu/index.shtml). 1 Landsat data were interpreted using the image processing software ERDAS IMAGINE 8.4 (ERDAS Inc). First, the image scenes for each year were combined, prior to overlaying the urban core boundaries for the 13 cities and extracting the relevant data. The maximum likelihood method, based on the six spectral bands, was used to classify the images into two urban land-use types: built-up and greenspace. To assess the accuracy of the classification procedure, 500 reference points (250 for each category) were generated using the equalized random sampling method [2]. These were then checked to ensure they had been correctly assigned to either the built-up or greenspace category using visual image interpretation and verifying by eye against Google Map 2006. The classification accuracies were 91.4%, 93.2% and 90.8% for 1991, 2001 and 2006 respectively, indicating that the classified imagery products were of high quality. Finally, for each year, the areas of built-up and greenspace within the urban core were analysed in a Geographic Information System (ArcView GIS 3.2; Environmental Systems Research Institute Inc.). Appendix 3: Temporal trends in urban EVI Enhanced Vegetation Index (EVI) satellite data from the Terra Moderate Resolution Imaging Spectroradiometer (MODIS) sensor were used to examine temporal changes in the ‘greenness’ of our 13 cities. The dataset has a spatial resolution of 250 x 250 m, a temporal resolution of 16 days (16-day composite period; [3]), and spans a nine year period in England (18 February 2000 to 19 December 2008). The MODIS-EVI data were downloaded from the Global Land Cover Facility (GLCF; http://glcf.umiacs.umd.edu/index.shtml). In order to assess changes in EVI in the study cities through time, comparative baseline data were needed for adjacent rural zones; these were defined as all non-developed land-uses lying in a buffer between 2 and 5 km around the urban core boundary. Within the GIS, zonal 2 analyses were used to calculate biweekly mean EVI for the rural zone and urban core of each city, allowing the difference in EVI (EVIdiff) between these two areas to be derived. Annual EVIdiff was calculated by subtracting the average annual EVI for the urban core from the average annual EVI for the rural zone. Appendix 4: Temporal pattern in the human population and number of dwellings In England, human population and dwelling figures are reported for a hierarchy of statistical and administrative areas, which change over time. Population and dwelling aggregates for each study city for 1981, 1991 and 2001 have been constructed from the finest level statistical units (enumeration districts for 1981 and 1991; output areas for 2001). Additional dwelling count data for the study cities in 2006 and 2008 have been used by summing numbers of residential delivery points associated with each unit (i.e. full) postcode within the relevant areas. Appendix 5: Corroborating changes in greenspace with existing data We anticipated that it would be possible to corroborate the increase in greenspace area in our 13 cities, between 1991 and 2001, through a comparison with existing land use data sources. However, in practice it is difficult to measure reliably the extent of informal areas of greenspace in cities, despite the existence of two potentially comprehensive data sources; the first consists of records of previously developed land parcels held within the National Land Use Database (NLUD-PDL), and the second is the Land Use Change Statistics (LUCS), both collected for the UK government’s Department of Communities and Local Government (DCLG). NLUD-PDL relies on returns made voluntarily by local authorities and is therefore not complete for every year. In practice different authorities may be represented within these data in different years. If examining a whole city (which will often include several local 3 authorities) change due to variation in coverage must be distinguished from underlying change in the stock of vacant land. LUCS, on the other hand, although providing no measure of vacant land stock, potentially measures both land becoming vacant and land ceasing to be vacant. There are, however, significant difficulties in knowing when changes actually occurred. Therefore, while the approach to data collection underpinning LUCS allows for relatively robust measurement of land ceasing to be vacant through development, it implies a systematic tendency to under-record flows into vacancy, making it inappropriate for comparisons between time periods [4]. The NLUD-PDL does allow such comparisons to be made, but only for years after 2000. Prior to this the areas covered by the dataset varied between years. To allow comparison with the remote sensed data, we used NLUD-PDL to compare vacant land stocks in 2000/1 and in 2005/6 in the 13 cities. Individual parcel records were aggregated to the city level, the individual land-use and site descriptions being used to estimate the balance between redundant buildings and vacant land where this was not explicitly indicated in the database. This analysis indicated that between 2000/2001 and 2005/2006 there had been a net reduction of roughly 2 km2 (5.7%) of vacant land across the thirteen cities; evidence that is consistent with the findings from the remote sensed data. 4 Table S1: Characteristics of England’s largest ‘Urban Areas’, in descending order of size, from the Office for National Statistics [1]. Urban Area City Zone Population Area (km2) Density (pop/km2) Greater London London South 8,278,251 1,623.37 5,099 West Midlands Birmingham Central 2,284,093 599.72 3,809 Greater Manchester Manchester North 2,240,230 556.72 4,024 West Yorkshire Leeds North 1,499,465 370.02 4,052 Tyneside Newcastle North 879,996 210.91 4,172 Liverpool Liverpool North 816,216 186.17 4,384 Nottingham Nottingham Central 666,358 158.52 4,204 Sheffield Sheffield North 640,720 162.24 3,949 Bristol Bristol South 551,066 139.78 3,942 Brighton/Worthing/Littlehampton Brighton South 461,181 94.09 4,902 Portsmouth Portsmouth South 442,252 94.52 4,679 Leicester Leicester Central 441,213 101.64 4,341 Bournemouth Bournemouth South 383,713 108.15 3,548 5 Table S2: The greenspace coverage within the urban core of each of the 13 study cities in 2006, derived from Landsat Thematic Mapper data. City Zone Greenspace coverage (%) London South 27.5 Birmingham Central 21.4 Manchester North 29.1 Leeds North 40.7 Newcastle North 28.4 Liverpool North 26.1 Central 19.3 Sheffield North 22.9 Bristol South 18.0 Brighton South 16.9 Portsmouth South 20.7 Central 20.2 South 23.7 Nottingham Leicester Bournemouth 6 Figure S1: The location of the 13 study cities in southern (black circles), central (mid-grey circles) and northern (light-grey circles) England: Bi, Birmingham; Bl, Bristol; Bn, Brighton; Bo, Bournemouth; Lc, Leicester; Ld, Leeds; Li, Liverpool; Lo, London; Ma, Manchester; Ne, Newcastle; No, Nottingham; Po, Portsmouth; Sh, Sheffield. 7 Figure S3: (a) The previous status of land converted to residential use between 1989 and 2009 across England (solid line, previously undeveloped land; dashed line, previously developed land; from [5]); (b) density of new dwellings built in England between 1990 and 2009 (from [5]). (a) Land-use change (%) 80 60 40 20 0 1989 1994 1999 2004 2009 2004 2009 Year (b) Dwellings per hectare 50 40 30 20 10 0 1989 1994 1999 Year 8 References 1. ONS. 2005 The UK’s major Urban Areas. In Focus on people and migration, pp. 45-60. Newport: Office for National Statistics. 2. Jensen, J.R. 2007 Remote sensing of environment: an earth resource perspective, 2nd edn. New Jersey: Prentice Hall. 3. Justice, C.O., Townshend, J.R.G., Vermote, E.F., Masuoka, E., Wolfe, R.E., Saleous, N., Roy, D.P. & Morisette, J.T. 2002 An overview of MODIS Land data processing and product status. Remote Sens. Environ. 83, 3 -15. (DOI:10.1016/S0034-4257(02)00084-6). 4. Bibby, P. & Coppin, P. 1994. Analyses of land use change statistics. London: Department of the Environment Planning Research Program. 5. DCLG. 2010 Land use change - changes to developed uses. London: Department of Communities and Local Government. 9