# RECORD b79aa4750ced5d8cf3b4aca71bb4a545f71e34bf # TITLE: Sorting in an urban housing market—is there a response to demographic change? # YEAR: 2021.0 VENUE: Review of Regional Research DOI: 10.1007/s10037-021-00158-7 # AUTHORS: U. Neumann; Lisa Taruttis # PAGES: 29 CANDIDATE TABLE PAGES (1-based): [12, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23] # ABSTRACT: Using Dortmund as a case study we analyse whether rents and housing prices responded to local demographic change in a German city between 2007 and 2016. In a two-step analysis based on a spatial autoregressive hedonic pricing model and a discrete choice model of housing location we find that during the study period as a whole, higher local mortality induced a negative effect on apartment prices and rents. Yet, the neighbourhood effects of local ageing vary across sub-city districts. Most prominently, the study period was characterised by a strong and rising desire to purchase or rent housing in the vicinity of the city centre. Furthermore, prices for owner-occupied apartments and houses increased rapidly in the more well-off southern part of the city and particularly in a previously declining community, where a large-scale urban regeneration and environmental upgrading project has been implemented since 2011. The characteristics of households likely to move to this neighbourhood switched from low to high income. ===== PAGE 1 (score 5, numeric-paren 0, table-words 0, var-words 5) ===== ORIGINAL PAPER https://doi.org/10.1007/s10037-021-00158-7 Rev Reg Res (2022) 42:111–139 Sorting in an urban housing market—is there a response to demographic change? Uwe Neumann1 · Lisa Taruttis2 Accepted: 10 September 2021 / Published online: 7 October 2021 © The Author(s) 2021 Abstract Using Dortmund as a case study we analyse whether rents and housing prices responded to local demographic change in a German city between 2007 and 2016. In a two-step analysis based on a spatial autoregressive hedonic pricing model and a discrete choice model of housing location we find that during the study period as a whole, higher local mortality induced a negative effect on apartment prices and rents. Yet, the neighbourhood effects of local ageing vary across sub-city districts. Availability of data and material (data transparency) This study uses data from the following sources: 1. dortmunderstatistik (2018); this data is available for download at: https://www.dortmund.de 2. RWI-GEO-GRID (2018) Socio-economic data on grid level, provided by Micromarketing-Systeme und Consult GmbH (microm). Population by age and gender, https://doi.org/10.7807/microm: einwGeAl:v5; Share of foreigners, https://doi.org/10.7807/microm:auslaender:V5 3. RWI-GEO-RED (2018) Real estate offers (purchase and rent) including object characteristics gathered by the internet platform ImmobilienScout24. Apartments for rent, https://doi.org/10.7807/ immo:red:wm:suf:v1; Apartments for sale, https://doi.org/10.7807/immo:red:wk:v1; Houses for sale, https://doi.org/10.7807/immo:red:hk:suf:v1 4. IT.NRW Information und Technik Nordrhein-Westfalen (Statistics North Rhine-Westphalia) (2020) Bevölkerungsstand nach Altersjahren (90) – Gemeinden – Stichtag, Fortschreibung des Bevölkerungsstandes, 31.12.2019. 12411–09iz; this data is available for download at https://www. landesdatenbank.nrw.de 5. KOSTAT (2018) Municipal statistical data for sub-city districts, provided by KOSIS Association KOSTAT, Bremen; this data is distributed to RWI under a contract and cannot be distributed further; the data can be obtained from KOSTAT. Code availability The computer code underlying the analysis was programmed using the Stata statistical software package. The corresponding do-files are available from the authors upon request.  Uwe Neumann uwe.neumann@rwi-essen.de 1 RWI—Leibniz Institute for Economic Research, Hohenzollernstr. 1–3, 45128 Essen, Germany 2 House of Energy Markets and Finance, University of Duisburg-Essen, Universitätsstr. 12, Essen, Germany K ===== PAGE 12 (score 21, numeric-paren 0, table-words 3, var-words 5) ===== 122 U. Neumann, L. Taruttis Table 2 Selected housing market characteristics (mean advertising price in Euro m2) 2008 2015 Apartment/ Apartment/ House/ Apartment/ Apartment/ House/ Rent Sale Sale Rent Sale Sale Floorspace in m2 <50 5.34 984.00 – 6.68 1017.61 – 50–70 5.01 1101.22 – 6.11 1185.54 – 70–90 5.08 1301.43 – 5.95 1443.21 – 90–120 5.70 1451.05 – 6.76 1846.54 – >120 5.83 1546.00 – 7.78 1789.15 – Year of construction <1950 5.18 1039.96 1318.86 6.16 866.43 1390.57 1950–1969 5.17 1075.74 1592.96 6.11 1083.10 1805.10 1970–1989 5.34 1202.78 1579.22 5.52 1303.89 1939.70 1990–1999 6.29 1612.56 1703.11 6.09 1767.56 2066.71 Since 2000 5.09 1465.22 2046.66 7.08 2036.45 2193.43 Residential community City Centre 5.70 1424.95 1540.71 7.31 1819.54 2232.57 Nordstadt 4.83 797.81 858.14 5.82 686.05 763.52 DO-West 4.85 1095.35 1668.67 5.68 1085.24 1778.95 DO-North 4.71 1143.13 1576.20 5.53 1235.73 1723.59 DO-East 5.26 1262.20 1869.89 6.04 1436.93 1929.62 DO-South 5.78 1571.20 2062.03 6.51 1837.01 2379.88 Hörde 4.97 1055.90 1295.42 6.93 2162.84 2202.83 All 5.15 1237.07 1700.84 6.28 1440.09 1764.95 Duration of offer (days), (mean) 22.8 68.8 47.4 27.2 49.3 78.4 Offers in relation to existing stock of buildings (mean)a 0.18 0.13 0.11 0.23 0.07 0.09 Observations 12,927 3027 2500 12,856 2778 1740 Authors’ calculation based on RWI-GEO-RED (2018) aoffers in relation to existing buildings: 2009 and 2015 (and no German) passport has increased in all Dortmund communities, particularly since 2012. The population with a foreign nationality represents only part of the migrant population, which is commonly defined as the population comprising the first and subsequent generations of immigrants, who came to Germany since the Second World War. While immigration has put ageing to a temporary halt in Germany as a whole, striking local variation reveals that ageing continues to proceed rapidly in districts with a low migrant inflow. In 2015, over 30% of the population in Dortmund East and South were older than 60, in Nordstadt only 15% (Table 1). As in the City Centre and Nordstadt, population growth in Hörde combined with a rising share of foreigners (from 17.8 to 20.5%) and a slight decrease in the share of seniors. Ageing is most advanced in the Dortmund-East and South communities, while families with children prevail more in the North and West. K ===== PAGE 13 (score 13, numeric-paren 0, table-words 3, var-words 7) ===== Sorting in an urban housing market—is there a response to demographic change? 123 During the study period, the share of immigrants increased most rapidly in the outer districts (especially in Dortmund-North, East and South). It is, however, still considerably lower in the southern part of Dortmund (Dortmund-East and South) than in the Centre and North. From 2008 to 2015 rents in Dortmund (in current prices) increased from 5.15 up to 6.28 C per m2 of residential floorspace (+22%) on average, prices for owner- occupied apartments from 1237 to 1440 C per m2 (+16.4%) and for one- and two- family homes from 1701 to 1765 (+3.7%) (Table 2). As expected by land use theory, rents and prices for housing are highest in the City Centre. They are lowest in the West and North communities, where popula- tion density is comparatively low. Prices are higher in the South, however, where density is lowest among all districts. In line with a well-known North-South divide characterising the Ruhr area due to its specific settlement history (Wehling 2003), intra-urban price differentials reveal that the ageing southern part of the city is nevertheless preferred as location of residence. Rents and prices in Hörde, where a large-scale urban regeneration programme was carried out (see above), were below the Dortmund average in 2008, i.e., before the upgrading came into effect. By 2015, prices had increased remarkably in this community. Rents per m2 and prices for 1-/2-familiy homes now were second only to those in the City Centre and apartments on offer for sale cost more than in any other community. Rents in Hörde on average increased from 4.97 to 6.93 C per m2 (+39.4%), prices for apartments from 1056 to 2163 (+105%) and for houses from 1295 to 2203 (+70%). 5 Neighbourhood stratification 5.1 Hedonic price functions for Dortmund Estimation of hedonic price functions for rented and owner-occupied accommoda- tion reveal considerable spatial autocorrelation among the dependent variable (as denoted by the λ statistics in Table 3) and the residuals (cf. ρ statistics). The analysis reveals a certain “size discount” on the rental market, as rents per m2 decrease in line with an increase in total floorspace. No such “discount” characterises the markets for accommodation for sale. Regarding the characteristics of neighbourhood populations, we find that across the complete survey period the price per m2 for apartments on offer for sale was reduced by around 4% and rents by 1% in case ceteris paribus mortality in the surrounding postal code district (Figs. 1 and 2) was 1% (1 death per 100 inhabitants) higher. This may appear surprising, since prices are relatively high in the ageing south of Dortmund. However, prices increased much more and are highest in the “younger” City Centre and Hörde (see above). Rents and prices per m2 for apartments were slightly lower (–0.2% and 0.6% respectively) in line with a 1% increase in the share of foreign nationals among the residents at the level of postal codes. Whereas local ageing corresponds to housing environments lacking the attributes of central city quarters preferred by the younger population, apparently in Dortmund very high K ===== PAGE 14 (score 97, numeric-paren 82, table-words 1, var-words 4) ===== 124 U. Neumann, L. Taruttis Table 3 Estimates of hedonic price function, 2007–2016, GS2SLS (1) (2) (3) Rent Purchase: Apartments Purchase: 1-/2-Family Homes Housing characteristics Age categories Yes Yes Yes Age –0.005*** –0.008*** –0.005*** (0.001) (0.001) (0.001) Age2 0.000*** 0.000*** 0.000*** (0.000) (0.000) (0.000) Floor space (log) –0.106*** 0.097*** 0.671*** (0.008) (0.014) (0.013) No of rooms 0.014*** 0.007 –0.014*** (0.003) (0.004) (0.002) Multi-family housing –0.008*** –0.018*** – Floor level (0.001) (0.002) – Multi-family housing: further characteristics Yes Yes – Good state of house 0.071*** 0.083*** 0.038*** (0.004) (0.006) (0.006) Bad state of house –0.023*** –0.105*** –0.085*** (0.004) (0.006) (0.005) Further characteristics of housing standard Yes Yes Yes Duration of offer 0.000*** –0.000 0.000 (0.000) (0.000) (0.000) Annual district characteristics at 5 digits postcode level Population (log) 0.009 0.033** 0.059*** (0.007) (0.017) (0.014) Mortality (deaths per 100 inhabitants) –0.013** –0.036*** 0.006 (0.006) (0.011) (0.012) Foreigners (in %) –0.002*** –0.006*** –0.002 (0.000) (0.001) (0.002) Residential communities: time effects (reference category 2007) Year community fixed effects 2007–2010 Yes Yes Yes 2011_City Centre 0.061*** 0.103*** 0.276 (0.014) (0.020) (0.072) 2011_Nordstadt 0.003 –0.251*** –0.176** (0.015) (0.060) (0.084) 2011_DO-West –0.076*** –0.041*** –0.077 (0.012) (0.015) (0.064) 2011_DO-North 0.012 –0.058** –0.116* (0.011) (0.027) (0.063) 2011_DO-East 0.035*** 0.007 –0.021 (0.010) (0.013) (0.066) K ===== PAGE 15 (score 87, numeric-paren 76, table-words 1, var-words 1) ===== Sorting in an urban housing market—is there a response to demographic change? 125 Table 3 (Continued) (1) (2) (3) Rent Purchase: Apartments Purchase: 1-/2-Family Homes 2011_DO-South 0.073*** 0.033** 0.053 (0.013) (0.016) (0.065) 2011_Hörde –0.010 –0.032 0.008 (0.016) (0.029) (0.073) Year community fixed effects 2012–2014 Yes Yes Yes 2015_City Centre 0.221*** 0.234*** 0.429*** (0.011) (0.030) (0.069) 2015_Nordstadt 0.146*** –0.020 0.057 (0.016) (0.060) (0.094) 2015_DO-West 0.132*** 0.003 0.038 (0.010) (0.022) (0.064) 2015_DO-North 0.157*** 0.050* –0.003 (0.011) (0.028) (0.064) 2015_DO-East 0.147*** 0.120*** 0.087 (0.010) (0.018) (0.065) 2015_DO-South 0.166*** 0.133*** 0.216*** (0.012) (0.020) (0.065) 2015_Hörde 0.154*** 0.151*** 0.152** (0.017) (0.044) (0.069) 2016_City Centre 0.240*** 0.371*** – (0.012) (0.026) – 2016_Nordstadt 0.181*** 0.077 – (0.020) (0.063) – 2016_DO-West 0.143*** 0.075*** – (0.011) (0.019) – 2016_DO-North 0.170*** 0.099*** – (0.013) (0.029) – 2016_DO-East 0.144*** 0.159*** – (0.012) (0.018) – 2016_DO-South 0.156*** 0.227*** – (0.013) (0.019) – 2016_Hörde 0.187*** 0.267*** – (0.019) (0.037) – Further char. of plot No No Yes Year fixed effects 2008–2016 Yes Yes Yes Constant 0.008 1.437*** 4.707*** (0.137) (0.529) (0.462) K ===== PAGE 16 (score 36, numeric-paren 12, table-words 7, var-words 9) ===== 126 U. Neumann, L. Taruttis Table 3 (Continued) (1) (2) (3) Rent Purchase: Apartments Purchase: 1-/2-Family Homes Observations 16,004 15,786 25,347 λ 1.271*** 0.743*** 0.244*** (0.062) (0.068) (0.036) ρ 1.176*** 1.392*** 1.447*** (0.073) (0.173) (0.186) Authors’ calculation based on RWI-GEO-RED (2018) (excluding observations representing the annual top 5% of offer durations per category (rent, apartments/houses for sale)), KOSTAT (2018) and dortmunder- statistik (2018). Sample of 1-/2-family homes comprises period 2008–2015 (reference category 2008). Accommodation on offer for rent represented by a 30% random sample. Standard errors allowing for het- eroscedasticity in parentheses. ***/**/*= significant at 0.01/0.05/0.1-level λ: spatial autocorrelation among dependent variable; ρ: spatial autocorrelation in error term; dependent variable: (logarithmised) price/rent in Euro/m2 dwelling space (current prices, monthly observations, lat- est observation per object); age categories: pre-1905, 1905–1930, 1930–1944, 1944–1960, 1960–1970, 1970–1980, 1980–1990, 1990–2000, reference category: post-2000; further characteristics of dwellings in multi-family housing: cellar, lift, garden, balcony, fitted kitchen; further characteristics of 1-/2-family- homes: size of plot in m2, terraced housing, building of new house is projected shares of residents with a migrant background do not correspond to the most desired features of urbanism. By 2015 and 2016 rents and prices had increased in all communities. Between 2007 and 2015, apartments for sale had experienced the strongest increase in prices per m2 in the City Centre (+23%) and in Hörde (+15%). In 2016 the upswing accelerated even more, amounting to a 37% increase compared to 2007 in the City Centre and to a 27% increase in Hörde. Prices increased considerably also in Dortmund South (+22%) and East (+16%), but below 10% in the North and West (Table 3 and Fig. 1). It is very likely that prices in parts of Hörde had been affected by the anticipated improvements even before new housing at the Phoenix-See entered the market. Yet, the main increase in prices took place after 2011. Rents increased most strongly in the City Centre also (+24%), followed by Hörde (+18%), yet differentials across the Dortmund residential communities in the in- crease of rents were less distinct than the increase in prices for apartments on offer for sale. Increases in rents per m2 were lowest in the East and West communities, but still amounted to 14% in these communities (Table 3 and Fig. 2). Between 2008 and 2015, prices per m2 of residential floorspace increased even more concerning houses on offer for sale in the City Centre (+43%) than for apart- ments. Prices per m2 for houses increased significantly also in the South (+22%) and in Hörde (+15%). 5.2 Hedonic price functions for Dortmund residential communities In the hedonic pricing estimations for Dortmund as a whole, neighbourhood-level price effects with respect to demographic characteristics measured at the level of postcode zones were found to be significant concerning rented accommodation and K ===== PAGE 17 (score 22, numeric-paren 13, table-words 3, var-words 3) ===== Sorting in an urban housing market—is there a response to demographic change? 127 Fig. 1 Price change 2007–2016 per unit (Euro per m2 in cur- rent prices) for apartments on offer for sale in Dortmund res- idential communities (in %); hedonic price function (Table 3); ***/**= regression coefficients, significant at 0.01/0.05-level, spatial autoregressive model. (Authors’ illustration. Map data: GeoBasis-DE/BKG, Google. Data sources: RWI-GEO-RED (2018), KOSTAT (2018) and dortmunderstatistik (2018); lines display the boundaries of 5-digit postal code zones) Dortmund-West: +7.5*** Dortmund-North: +9.9** Nordstadt: +7.7 City Centre: +37.1*** Dortmund-East: +15.9*** Dortmund-South: +22.7*** Hörde: +26.7*** Fig. 2 Price change 2007–2016 per unit (Euro per m2 in current prices) for rented accommo- dation in Dortmund residential communities (in %); hedo- nic price function (Table 3); ***/**= regression coefficients, significant at 0.01/0.05-level, spatial autoregressive model. (Authors’ illustration. Map data: GeoBasis-DE/BKG, Google. Data sources: RWI-GEO-RED (2018), KOSTAT (2018) and dortmunderstatistik (2018); lines display the boundaries of 5-digit postal code zones) Dortmund-West: +14.3*** Dortmund-North: +17.0*** Nordstadt: +18.1*** City Centre: +24.0*** Dortmund-East: +14.0*** Dortmund-South: +15.6*** Hörde: +18.7*** apartments and houses for sale. It is not surprising that across the complete study period prices were higher in more densely populated districts, since apparently prices per m2 are highest and increased most considerably in the City Centre. Further, prices and rents were found to be reduced in line with a higher local mortality and (slightly) by a higher share of foreigners among the local population. As expected, hedonic price estimations for separate residential communities con- firm that considerable spatial autocorrelation needs to be accounted for in the mea- surement of housing prices. Regarding demographic characteristics measured at the smaller 1km2-grid scale for each housing category, the analysis suggests that local ageing affects prices for houses on offer for sale in a different way than prices for apartments and rents (Table 4). In the estimations for Dortmund as a whole the coef- ficients assigned to district-level mortality were significant and negative among rents K ===== PAGE 18 (score 80, numeric-paren 62, table-words 4, var-words 1) ===== 128 U. Neumann, L. Taruttis Table 4 Estimates of hedonic price function for residential districts, 2007–2016, GS2SLS (1) (2) (3) Rent Purchase: Apartments 1-/2-Family Homes Annual district characteristics at 1km grid level Community 1 (City Centre) Population (log) Yes Yes Yes Population aged >60 –0.003 0.000 0.027*** (in %) (0.003) (0.006) (0.008) Foreigners (in %) –0.003** –0.009*** –0.002 (0.001) (0.003) (0.005) New stocka 0.185 0.209*** 0.451 (0.159) (0.061) (0.644) Observations 1839 2118 670 λ 0.944*** 0.585*** 0.506*** ρ 0.874*** 0.973*** 1.079*** Community 2 (Nordstadt) Population (log) Yes Yes Yes Population aged >60 0.001 0.003 0.011 (in %) (0.004) (0.014) (0.023) Foreigners (in %) –0.000 –0.002 –0.004 (0.002) (0.005) (0.008) New stocka –0.360 0.158 0.292 (0.254) (0.182) (0.204) Observations 1149 820 404 λ 1.063*** 0.674*** 0.186 ρ 0.627*** 0.389** 0.923*** Community 3 (Dortmund West) Population (log) Yes Yes Yes Population aged >60 0.006*** 0.000 0.003 (in %) (0.002) (0.002) (0.002) Foreigners (in %) 0.003*** –0.003 –0.002 (0.001) (0.003) (0.002) New stocka –0.631*** 0.047 0.156*** (0.094) (0.118) (0.058) Observations 3997 2767 5279 λ 0.390*** 0.552*** 0.407*** ρ 0.939*** 0.976*** 1.366*** Community 4 (Dortmund North) Population (log) Yes Yes Yes Population aged >60 0.003 0.009** 0.002 (in %) (0.002) (0.004) (0.003) Foreigners (in %) –0.001 0.001 –0.003 (0.001) (0.002) (0.002) New stocka –0.091 0.176 0.073 (0.074) (0.167) (0.055) K ===== PAGE 19 (score 63, numeric-paren 47, table-words 4, var-words 2) ===== Sorting in an urban housing market—is there a response to demographic change? 129 Table 4 (Continued) (1) (2) (3) Rent Purchase: Apartments 1-/2-Family Homes Observations 1935 687 3321 λ 0.869*** 0.669*** 0.176* ρ 0.660*** 0.311** 1.107*** Community 5 (Dortmund East) Population (log) Yes Yes Yes Population aged >60 0.001 –0.000 0.003*** (in %) (0.001) (0.002) (0.001) Foreigners (in %) –0.002* –0.006** –0.000 (0.001) (0.003) (0.001) New stocka –0.354*** 0.025 0.009 (0.94) (0.096) (0.020) Observations 3205 3288 6806 λ 0.973*** 1.064*** 0.171** ρ 0.849*** 0.526*** 1.314*** Community 6 (Dortmund South) Population (log) Yes Yes Yes Population aged >60 0.001 0.003 0.007*** (in %) (0.001) (0.003) (0.002) Foreigners (in %) –0.000 –0.003 0.000 (0.001) (0.003) (0.002) New stocka 0.060 –0.083 0.050 (0.125) (0.076) (0.076) Observations 1594 2433 4957 λ 0.701*** 0.575*** 0.437*** ρ 0.688*** 0.973*** 1.433*** Community 7 (Hörde) Population (log) Yes Yes Yes Population aged >60 –0.003 –0.012 0.018 (in %) (0.006) (0.013) (0.016) Foreigners (in %) –0.004 –0.014 0.000 (0.006) (0.009) (0.008) and apartments for sale, but insignificant for houses (see above). In the separate es- timations for prices per m2 in one- or two-family houses in residential communities the coefficients assigned to the share of the population aged over 60 are significant and positive in three communities (City Centre, East and South) and insignificant in the other communities. Within the ageing East and South communities, neighbourhoods with a high share of seniors obviously represent surroundings deemed attractive for one- and two- family homes. Regarding apartments for sale, a high share of the population aged over 60 is assigned a positive price effect in Dortmund North, while the respective K ===== PAGE 20 (score 23, numeric-paren 7, table-words 6, var-words 3) ===== 130 U. Neumann, L. Taruttis Table 4 (Continued) (1) (2) (3) Rent Purchase: Apartments 1-/2-Family Homes New offersa –0.143 –0.377 –0.796 (0.226) (0.278) (0.574) Observations 626 646 475 λ 0.760*** 0.518*** 0.182 ρ 0.017 0.740*** 0.918*** Housing characteristics Yes Yes Yes Year fixed effects Yes Yes Yes Constants Yes Yes Yes Authors’ calculation based on RWI-GEO-RED (2018) (excluding observations representing the annual top 5% of offer durations per category (rent, apartments/houses for sale)) and RWI-GEO-GRID (2018). Sample of 1-/2-family homes comprises period 2008–2015 (reference category 2008). Accommodation on offer for rent is represented by a 30% random sample. Standard errors allowing for heteroscedasticity in parentheses ***/**/*= significant at 0.01/0.05/0.1-level Dependent variable: (logarithmised) price/rent in Euro/m2 dwelling space (current prices, monthly obser- vations, latest observation per object); housing characteristics cf. Table 3 aAnnual offerings in relation to the existing stock of residential buildings coefficients turn out insignificant in all other districts. Rents are affected (positively) only in Dortmund West (Table 4). Rents and prices for apartments were affected (slightly) negatively by higher local shares of foreigners in the City Centre and Dortmund East, but rents were affected (slightly) positively by a higher share of foreigners among the local neighbourhoods of Dortmund West. Whereas local ageing and migrant agglomeration at the level of larger districts (representing around 20,000 inhabitants on average) tend to be regarded as disadvantageous, at the level of 1km2 grids both characteristics may affect local housing environments in the opposite direction. A larger share of senior citizens, for example, may be attributed to a safe neighbourhood at the very local level. Within a suburban district, on the other hand, a comparatively higher share of migrants may correspond to more central locations where prices are higher. In the City Centre and in the East and West communities, housing prices appar- ently were affected to a significant extent by the volume of housing units entering the market in a specific year. In the Centre, average prices for apartments were even higher in case a larger number of apartments were on offer for sale in the respec- tive neighbourhood. Rents were affected in the East and West communities, where a large local volume of rental offers coincided with a price reduction. 5.3 Community-level variation in location choice probabilities The third step of our analysis examines the likelihood of households to have chosen accommodation in one of the seven Dortmund residential communities in each year during the period from 2009 to 2016. In 2009, the mean sizes of households likely to move into rented accommo- dation were smaller than in Dortmund-West (which was the base category) in all K ===== PAGE 21 (score 120, numeric-paren 98, table-words 5, var-words 1) ===== Sorting in an urban housing market—is there a response to demographic change? 131 Table 5 Location choice probabilities, by Dortmund residential community (Multinomial logit estimation, selected results for 2009 and 2015/2016) City Centre Nordstadt DO-West DO-North DO-East DO-South Hörde 2009 Rent Est. household size –1.106*** –0.458*** – 1.074*** 0.023 –0.459*** –0.693*** (log) (0.060) (0.072) – (0.071) (0.058) (0.067) (0.110) Total rent/pp (log) 1.164*** 1.144*** – –0.892*** –0.070 0.398*** 0.803*** (0.062) (0.070) – (0.069) (0.059) (0.069) (0.103) a0h;t –0.396*** –0.910*** – –0.718*** –0.037 –0.663*** –1.817*** (0.036) (0.043) – (0.041) (0.032) (0.038) (0.060) Observations 9524 Pseudo-R2 0.046 Apartments for sale Est. household size – 2.038*** 0.634*** 2.136*** 0.621*** 0.302*** 0.195 (log) – (0.102) (0.089) (0.132) (0.091) (0.087) (0.150) Total price/pp (log) – –2.685*** –0.820*** –1.871*** –0.706*** –0.031 –0.589*** – (0.115) (0.102) (0.137) (0.103) (0.090) (0.176) a0h;t – –0.667*** –0.002 –1.513*** –0.055 –0.501*** –1.605*** – (0.070) (0.055) (0.096) (0.056) (0.063) (0.096) Observations 3656 Pseudo-R2 0.082 Houses for sale Est. household size 0.589*** 1.841*** – 0.671*** 0.149 –0.116*** 1.066*** (log) (0.131) (0.160) – (0.098) (0.093) (0.098) (0.154) Total price/pp (log) –0.137 –0.967*** – –0.911*** –0.677*** –0.195*** –0.683*** (0.137) (0.164) – (0.098) (0.086) (0.089) (0.172) a0h;t –1.767*** –3.617*** – –0.674*** –0.007 –0.155** –2.608*** (0.117) (0.273) – (0.080) (0.063) (0.065) (0.172) K ===== PAGE 22 (score 102, numeric-paren 79, table-words 7, var-words 1) ===== 132 U. Neumann, L. Taruttis Table 5 (Continued) City Centre Nordstadt DO-West DO-North DO-East DO-South Hörde Observations 2114 Pseudo-R2 0.057 2016 Rent Est. household size –1.955*** 0.868*** – 1555*** –0.790*** –0.609*** –0.619*** (log) (0.055) (0.0965) – (0.072) (0.048) (0.053) (0.062) Total rent/pp (log) 3.005*** –0.212*** – –1.550*** 1.333*** 1.034*** 1.864*** (0.064) (0.085) – (0.082) (0.055) (0.060) (0.069) a0h;t –0.570*** –1.631*** – –1.892*** –0.044 –0.405*** –0.983*** (0.041) (0.060) – (0.067) (0.033) (0.0036) (0.044) Observations 11,143 Pseudo-R2 0.144 Apartments for sale Est. household size –0.417*** 2.509*** 0.921*** 2.352*** – –0.041 –0.206 (log) (0.115) (0.142) (0.103) (0.152) – (0.113) (0.140) Total price/pp (log) 1.080*** –4.092*** –1.370*** –2.705*** – 0.490*** 2.009*** (0.133) (0.193) (0.124) (0.186) – (0.129) (0.173) a0h;t –1.114*** –2.349*** –0.252*** –1.942*** – –0.866*** –2.249*** (0.089) (0.145) (0.064) (0.125) – (0.079) (0.151) Observations 2512 Pseudo-R2 0.196 Houses for sale (2015) Est. household size –0.255 3.102*** – 0.274*** –0.593*** –0.668*** –0.509** (log) (0.186) (0.394) – (0.092) (0.100) (0.110) (0.226) K ===== PAGE 23 (score 34, numeric-paren 23, table-words 4, var-words 1) ===== Sorting in an urban housing market—is there a response to demographic change? 133 Table 5 (Continued) City Centre Nordstadt DO-West DO-North DO-East DO-South Hörde Total price/pp (log) 1.764*** –0.816*** – –0.437*** 0.767*** 1.161*** 1.262*** (0.181) (0.256) – (0.105) (0.103) (0.113) (0.219) a0h;t –2.600*** –6.213*** – –0.343*** –0.054 –0.422*** –2.477*** (0.197) (0.757) – (0.080) (0.072) (0.081) (0.187) Observations 1651 Pseudo-R2 0.107 Authors’ calculation based on RWI-GEO-RED (2018), excluding observations representing the annual top 5% of offer durations per category (rent, apartments/houses for sale). Robust standard errors in parentheses ***/**/*= significant at 0.01/0.05/0.1-level est. household size= floorspace of dwelling in m2, divided by the average floorspace per person in 2013 in corresponding residential community (Stadt Dortmund 2017); total rent/pp: total rent, divided by the average monthly purchasing power per household at the level of 1km grids; total price/pp: total price, divided by the average annual purchasing power per household; a0h;t Dannual choice probability among households with mean characteristics K ===== PAGE 24 (score 9, numeric-paren 0, table-words 3, var-words 3) ===== 134 U. Neumann, L. Taruttis districts except for Dortmund North and East. Total rents in relation to household income were higher in all districts than in Dortmund-West, except for North and East (Table 5). In general, considering housing on offer for rent or sale mean and household- specific probabilities characterising the likelihood to choose among six out of seven Dortmund residential communities remained relatively stable over the study period, e.g., one- and two-person-households being likely to move to the City Centre and low-income households prone to choose Nordstadt. A considerable change in the choice probabilities relating to household characteristics, however, took place with respect to Hörde. This change corresponds to a considerable upswing in prices for apartments and houses on offer for sale, which is likely to result at least partly from the environmental upgrading due to the Emscher Conversion and Phoenix- See development. In 2009, households moving into purchased accommodation in Hörde were likely to earn a comparatively low income (as denoted by negative coefficients assigned to the total price of the apartment or house in relation to local income). In 2016, they were likely to be well-off and—in case they were moving into apartments—to pay higher total prices even than households moving to the City Centre (Table 5). For households with mean characteristics (as denoted by the coefficients for a0h,t), however, it remained improbable to choose accommodation for rent or sale in Hörde. Regarding rented accommodation and one- or two-family homes for sale, the Dortmund West community represented mean preferences most accurately in 2009 and 2015/16. With respect to owner-occupied apartments, mean preferences shifted from the City Centre (2009) to the Dortmund East community. Whereas total prices in relation to local income differed only insignificantly between the Centre and East in 2009, in 2016 total prices for apartments in the Centre had become considerably (i.e. over one standard deviation, Table 5) higher than in the East. While both the Centre and Hörde experienced an upswing of local housing prices, Nordstadt was affected by a continuing downturn, specifically concerning owner- occupied apartments. While the size of households likely to move in remained comparatively large, total prices remained considerably below those in the other districts and the gap between Nordstadt and the other districts in this respect has widened. In 2009, Nordstadt prices in relation to local income were 2.69 standard deviations below those in the reference category (which was the City Centre), in 2016 they were over 4 standard deviations below the reference category (Dortmund East). 6 Conclusions We analyse whether housing prices and location choice probabilities in Dortmund over the period from 2007 to 2016 indicate a response to local demographic change at the level of different neighbourhood scales. It is difficult to isolate the effects of local ageing from other determinants of residential sorting in empirical analysis. We therefore apply different methods and incorporate neighbourhood-level statistics at varying spatial scales in order to evaluate the robustness of our results. K