# RECORD dde22a8458111f4d97568d09ce7efc13ea6e96aa # TITLE: Public transport accessibility and the prices of nearby properties: the case of the first metro line in Warsaw # YEAR: 2020.0 VENUE: European Journal of Transport and Infrastructure Research DOI: 10.18757/ejtir.2020.20.2.3979 # AUTHORS: Marcin Torzewski # PAGES: 19 CANDIDATE TABLE PAGES (1-based): [6, 9, 11, 15, 16, 17, 18] # ABSTRACT: This paper identifies the relation between metro proximity and the prices of residential properties in Warsaw. The analysis is based on 2006-2013 AMRON-SARFiN data. The results show that metro has a positive impact on property prices if it is located at most 1.5 km from the property. The greatest increase in price of 8-13 per cent is observed when metro is located 400-800 meters from the property. The results indicate that when the metro transportation is poor, it causes a large increase in property prices, which is not comparable to the impact of other transports, such as bus or tram. ===== PAGE 1 (score 10, numeric-paren 0, table-words 0, var-words 10) ===== Issue 20(2), 2020, pp. 41-59 https://doi.org/10.18757/ejtir.2020.20.2.3979 EJTIR ISSN: 1567-7141 http://ejtir.tudelft.nl/ Public transport accessibility and the prices of nearby properties: the case of the first metro line in Warsaw Marcin Torzewski1 Faculty of Management, University of Warsaw, Poland This paper identifies the relation between metro proximity and the prices of residential properties in Warsaw. The analysis is based on 2006-2013 AMRON-SARFiN data. The results show that metro has a positive impact on property prices if it is located at most 1.5 km from the property. The greatest increase in price of 13 per cent is observed when metro is located up to 800 meters from the property. The results indicate that when the metro transportation is poor, it causes a large increase in property prices, which is not comparable to the impact of other transports, such as bus or tram. Keywords: hedonic pricing model, metro proximity, property prices, public transport, spatial models, Warsaw housing market. 1. Introduction The subway / metro transportation plays a crucial role in the urbanization and urban development processes because it depends on its own specific infrastructure that is mostly located underground. This distinct feature of subway gives it a relative advantage over other means of transport, such as bus, trolleybus or tram. By its underground location metro allows its users to reach downtown city areas that struggle with high traffic limiting the number of vehicles and reducing the travel time. Due to the high number of users it also attracts the location of businesses and services, which seek for potential clients. Given the characteristics of the metro transportation network, its accessibility should be capitalized by the value of the surrounding properties. There exists an extensive number of studies that look at the relation between metro accessibility and the prices of nearby properties. Most of these studies focus on the cities with a highly developed railway network infrastructure, such as cities in the USA (Damm et al., 1980, Armstrong and Rodríguez, 2006), South Korea (Bae et al., 2003), Taiwan (Lin and Hwang, 2004), the UK (Du and Mulley, 2007), Portugal (Martínez and Viegas, 2009), Italy (Pagliara and Papa, 2011 and Gallo, 2018), Greece (Efthymiou and Antoniou, 2013) or China (Zhang 1 A: Szturmowa 1/3, 02-678 Warsaw, Poland. T: +48 791 676 646 E: m.torzewski@hotmail.com ===== PAGE 6 (score 37, numeric-paren 0, table-words 6, var-words 15) ===== EJTIR 20(2), 2020, pp.41-59 46 Torzewski Public transport accessibility and the prices of nearby properties: the case of the first metro line in Warsaw Table 1. Summary statistics of property prices per square meter and distance related variables Variable Mean Std. Deviation Variable Mean Std. Deviation Price per m2 (PLN) 7968.957 2815.194 Distance (km): Tram 1.727 2.065 Distance (km): Center 6.442 3.532 Tram: 0 - 200 m 0.176 0.380 Centrum: 0 - 3 km 0.187 0.390 Tram: 200 - 400 m 0.183 0.386 Centrum: 3 - 5 km 0.209 0.407 Tram: 400 - 800 m 0.179 0.383 Centrum: 5- 7 km 0.188 0.391 Tram: > 800 m 0.463 0.499 Centrum: 7 - 10 km 0.234 0.423 Distance (km): Bus 0.179 0.124 Centrum: > 10 km 0.182 0.386 Bus: 0 -100 m 0.276 0.447 Distance (km): Metro 3.934 3.413 Bus: 100 - 250 m 0.514 0.500 Metro: 0 - 400 m 0.075 0.263 Bus: 250 - 400 m 0.156 0.363 Metro: 400 - 800 m 0.133 0.339 Bus: > 400 m 0.054 0.225 Metro: 800 - 1500 m 0.103 0.304 Number of observations 5576 Metro: > 1500 m 0.689 0.463 Source: Own calculations based on AMRON-SARFiN data and geographical coordinates of the properties recoded from their address and geographical coordinates of metro, bus and tram stops in Warsaw. Table 2. Summary statistics of physical characteristics of properties Variable Mean Std. Deviation Variable Mean Std. Deviation Square meters 62.514 31.000 Floor 0 0.158 0.365 Square meters: 0-35 0.128 0.334 Floor 1 0.166 0.372 Square meters: 35-60 0.467 0.499 Floor 2 0.200 0.400 Square meters: 60-90 0.262 0.440 Floor 3 0.178 0.383 Square meters: >90 0.144 0.351 Floor 4 0.125 0.331 Parking 0.232 0.422 Floor 5-6 0.105 0.307 Primary market 0.256 0.436 Floor 7-9 0.047 0.211 Secondary market 0.744 0.436 Floor >=10 0.020 0.140 Age of the building 27.606 29.685 Private ownership 0.448 0.497 Age of the building: 0-2 0.287 0.453 Perpetual ownership 0.548 0.498 Age of the building: 2-10 0.191 0.393 Other type of ownership 0.004 0.064 Age of the building: 10-50 0.304 0.460 Number of observations 5576 Age of the building: >50 0.218 0.413 Source: Own calculations based on AMRON-SARFiN data Table 3. Summary statistics of neighborhood related variables Variable Mean Std. Dev. Living condition index 0.494 0.155 Population density (thousands/m2) 4.390 2.762 Share of green areas 12.633 16.642 Share of recreational areas 6.128 6.821 Crimes per 1000 inhabitants 32.867 15.822 Children per 1000 children in kindergartens 757.333 138.412 Number of districts 18 Source: Own calculations based on GUS (2012) and MOBP (2013) reports. The next set of control variable denoted as neighborhoodm includes characteristics of the surrounding measured at the district level. More specifically these measures account for population density, share of green areas, share of recreation areas, number of crimes per 1000 inhabitants, number of children attending kindergarten per 1000 children, living condition index. The data are extracted from GUS (2012) and MOBP (2013) reports. The summary statistics for the neighborhood related variables are shown in Table 3. The estimated equation additionally controls for time trend, measured by year and quarters fixed effects (denoted by time). ===== PAGE 7 (score 16, numeric-paren 0, table-words 5, var-words 6) ===== EJTIR 20(2), 2020, pp.41-59 47 Torzewski Public transport accessibility and the prices of nearby properties: the case of the first metro line in Warsaw In the analysis, we also test the hypothesis concerning the interaction effect between various public transportation modes. We thus ask whether the importance of the metro accessibility weakens when other means of transportation are located closer than metro. To do that we define a dummy variable denoted as MOT which takes the value of 1 if other means of transport (bus or tram) are closer to the property than the nearest metro station and the relative distance between them is more than 250 meters; in other case the variable takes a value of 0. Put it differently, the variable equals to 1 if there is bus or tram available that is closer than metro and the distance to metro compared to bus or tram is quite far (i.e. more than 250 meters). This variable is then interacted with variables measuring the distance to the nearest metro station. The estimated coefficients on the interactions reveal whether the effect of metro proximity is affected by the relative distance of metro to other means of transportation. It is expected that when the other means of transportation are located closer than metro (i.e. the variable MOT takes the value of 1), the role of metro in shaping the property price will be lower. In other words, it is expected that the estimated coefficients on the interaction terms will prove to be negative. 3.2 Alternative methods: SEM and SAR models Hedonic pricing models, though widely used in applied research on property prices, suffer from several important limitations. These mostly relate to heteroscedasticity, collinearity between the variables, and the spatial dependence/autocorrelation. While the first problem – heteroscedasticity – is a common problem embedded in ordinary least squares estimation, it can be overcame with the use of logarithmic form and robust standard errors. Similarly, in order to avoid collinearity between variables, the VIF test can be performed and one of the linearly dependent variables can be dropped from the model. The third issue – the spatial dependence – is, however, more serious and therefore requires more attention. More specifically, the problem of spatial dependence relates to the correlation of values within a given group of close objects, which may lead to the misspecification and estimation bias (Anselin and Arribas-Bel, 2012). It is worth noting that despite its significance, this issue has not been properly addressed in the number of previous studies on the topic (Damm et al., 1980; Bae et al., 2003, Li et al., 2017). Spatial autocorrelation is closely linked to the so-called first law of geography (Tobler, 1970), which says that objects which are near to each other are more similar (correlated) than those that are distant. In the context of real estate, this means that observation units (properties) in close proximity should exhibit similar effects (prices) to neighboring units. In this case, the dependence can be viewed as error dependence that violates the crucial assumption of OLS of the uncorrelation of the error terms (LeSage and Pace, 2009). To deal with this issue, we re-estimate the models by applying: 1) spatial error model (SEM), and 2) spatial lag model (SAR); (Anselin and Arribas-Bel, 2012). 𝐴 spatial error model (SEM) introduces the spatial autocorrelation into the error term, as: ln(𝑝𝑟𝑖𝑐𝑒)𝑖= 𝛼0 + 𝛼1𝑚𝑒𝑡𝑟𝑜𝑖+ 𝛼2𝑏𝑢𝑠𝑖+ 𝛼3𝑡𝑟𝑎𝑚𝑖+ 𝛼4𝑐𝑒𝑛𝑡𝑒𝑟𝑖+ ∑ 𝛼𝑘(𝑝ℎ𝑦𝑠𝑖𝑐𝑎𝑙)𝑖,𝑘 𝑙 𝑘=5 + ∑ 𝛼𝑚(𝑛𝑒𝑖𝑔ℎ𝑏𝑜𝑟ℎ𝑜𝑜𝑑)𝑖,𝑚 𝑛 𝑚=𝑙+1 + 𝛼𝑛+1(𝑡𝑖𝑚𝑒)𝑖+ 𝜀𝑖 (2) 𝜀𝑖= 𝜆𝑾𝜀𝑖+ 𝑢𝑖 where 𝜆 is an autoregressive coefficient, 𝑾 is a spatial weight matrix and 𝑢 is an iid. error term. A spatial lag model (SAR), on the other hand, regresses the dependent variable (property price) on the set of independent variables, as well as on the property price reweighted by the spatial matrix. Spatial dependence is included here as an additional regressor, that is a spatially lagged dependent variable: ln(𝑝𝑟𝑖𝑐𝑒)𝑖= 𝛼0 + 𝜌𝑾∗ln(𝑝𝑟𝑖𝑐𝑒)𝑖+ 𝛼1𝑚𝑒𝑡𝑟𝑜𝑖+ 𝛼2𝑏𝑢𝑠𝑖+ 𝛼3𝑡𝑟𝑎𝑚𝑖+ 𝛼4𝑐𝑒𝑛𝑡𝑒𝑟𝑖+ ∑ 𝛼𝑘(𝑝ℎ𝑦𝑠𝑖𝑐𝑎𝑙)𝑖,𝑘 𝑙 𝑘=5 + ∑ 𝛼𝑚(𝑛𝑒𝑖𝑔ℎ𝑏𝑜𝑟ℎ𝑜𝑜𝑑)𝑖,𝑚+ 𝛼𝑛+1(𝑡𝑖𝑚𝑒)𝑖+ 𝜀𝑖 𝑛 𝑚=𝑙+1 (3) ===== PAGE 9 (score 106, numeric-paren 74, table-words 3, var-words 15) ===== EJTIR 20(2), 2020, pp.41-59 49 Torzewski Public transport accessibility and the prices of nearby properties: the case of the first metro line in Warsaw 3-5 per cent in case it is located within 200 meters. The negative impact of a close proximity of bus and tram stops on the property selling price might be related to the noise caused by both bus and tram, which as opposed to metro (which in Warsaw is entirely located underground) operate on regular roads. As expected, close proximity to the city center of up to 3 km is associated with the highest property selling prices; such properties are even by 26 per cent more expensive than similar properties located at the city’s peripheries (more than 10 km away from the city center). Table 4. Estimation results using OLS, SEM and SAR methods Method: OLS SEM SAR Variable: coef/se coef/se coef/se Metro: 0 - 400 m 0.131*** 0.131*** 0.084*** (0.025) (0.020) (0.014) Metro: 400 - 800 m 0.132*** 0.133*** 0.088*** (0.026) (0.017) (0.012) Metro: 800 - 1500 m 0.108*** 0.110*** 0.069*** (0.021) (0.017) (0.013) Metro: >1500 m (base) (base) (base) Bus: 0 -100 m -0.044** -0.027 -0.031** (0.023) (0.020) (0.016) Bus: 100 - 250 m -0.019 -0.001 -0.007 (0.020) (0.019) (0.015) Bus: 250 - 400 m -0.006 0.007 0.003 (0.018) (0.019) (0.016) Bus: >400 m (base) (base) (base) Tram: 0 - 200 m -0.049*** -0.032* -0.030*** (0.018) (0.016) (0.012) Tram: 200 - 400 m -0.006 0.003 0.002 (0.018) (0.015) (0.011) Tram: 400 - 800 m 0.045** 0.044*** 0.035*** (0.019) (0.014) (0.010) Tram: >800 m (base) (base) (base) Centrum: 0 - 3 km 0.250*** 0.251*** 0.173*** (0.051) (0.028) (0.021) Centrum: 3 - 5 km 0.212*** 0.209*** 0.152*** (0.047) (0.023) (0.017) Centrum: 5- 7 km 0.126*** 0.118*** 0.092*** (0.033) (0.020) (0.014) Centrum: 7 - 10 km 0.103*** 0.104*** 0.078*** (0.034) (0.016) (0.011) Centrum: >10 km (base) (base) (base) Constant 8.348*** 8.346*** 5.431*** (0.129) (0.050) (0.142) No. of observations 5 576 Notes: *** p<0.01, ** p<0.05, * p<0.1. The models control for: usable area, floor location, ownership, age of the building, parking place, type of the market, district characteristics (living conditions index, population density, share of green and recreational areas, crime rate and childcare availability), and year fixed effects. Table 5. Direct, indirect and total effects derived for SAR model Direct Indirect Total Metro: 0 - 400 m 0.086 0.041 0.127 Metro: 400 - 800 m 0.090 0.043 0.133 Metro: 800 - 1500 m 0.071 0.033 0.104 Bus: 0 -100 m -0.032 -0.015 -0.047 Bus: 100 - 250 m -0.007 -0.003 -0.011 Bus: 250 - 400 m 0.003 0.001 0.004 Tram: 0 - 200 m -0.031 -0.015 -0.046 Tram: 200 - 400 m 0.002 0.001 0.003 Tram: 400 - 800 m 0.036 0.017 0.052 ===== PAGE 10 (score 16, numeric-paren 0, table-words 4, var-words 7) ===== EJTIR 20(2), 2020, pp.41-59 50 Torzewski Public transport accessibility and the prices of nearby properties: the case of the first metro line in Warsaw Centrum: 0 - 3 km 0.176 0.083 0.260 Centrum: 3 - 5 km 0.155 0.074 0.229 Centrum: 5- 7 km 0.094 0.044 0.138 Centrum: 7 - 10 km 0.079 0.038 0.117 The coefficients obtained on variables measuring physical characteristics of the properties are in line with the theoretical predictions and expectations (see Appendix Table A.1). First, the most expensive properties are the smallest ones (0-35 square meters). Second, the floor location matters for the price: compared to the price of the properties located on the ground floor, the price of properties located up to the 7th floor are higher. Perpetual ownership is also associated with a higher selling price of the property (of around 3 to 5 per cent). Compared to properties located in old buildings (more than 50 years old), the properties located in new buildings aged up to 2 years are by around 12-18 per cent more expensive, and properties located in buildings aged 2-10 by even 16-24 per cent more expensive. We also observe that the selling price per square meter is by around 7-10 per cent lower at the primary market than at the secondary one. Importantly, the coefficients obtained on spatial parameters in SEM and SAR models (see Appendix Table A.1) are significant and reveal an existence of the spatial dependency between the neighboring properties. Finally, we assess how the proximity to other means of transportation (bus or tram) affects the uncovered relationship between metro accessibility and the prices of nearby properties. To do that we interact variables reflecting metro proximity with the variable MOT measuring the relative distance between metro and other means of transportation. The main results on the interaction terms are presented in Table 6 (Appendix Table A.3 gives the full set of coefficients). The MOT variable is interacted with variables indicating that metro is within 0-400 and 400-800 meters but not with the variable indicating that it is within 800-1500 meters. This is because of the definition of MOT variable, which takes a value of 1 if other means of transport (bus or tram) are closer to the property than the nearest metro station and the relative distance between them is more than 250 meters. If metro is located within 800-1500 meters from the property it is very unlikely that there are no other transports that are closer to the property; in other words in this case the MOT variable nearly always takes a value of 1. The results obtained from the model with the interactions show that if the nearest metro station is very close to the property – within 0-400 meters – the fact that other means of transport are closer relative to metro does not matter for the property price, as indicated by the insignificant and close to zero interaction term between metro 0-400 and MOT variables in all three models. Even if other means of transport are closer than metro, the fact that metro is within 0-400 meters from the property increases its selling price by 13 per cent. As for the metro proximity of 400-800 meters the results indicate that when the nearest metro is within 400-800 meters and other means of transport are even further away or are in a close proximity to metro (variable MOT takes a value of 0), the presence of metro has a high and significant impact on the price of the property of 14 per cent to even 18 per cent (depending on the model used). On the other hand, if the nearest metro is within 400-800 meters and the bus or tram is closer than metro (and at the same time metro is quite far away compared to bus or tram, i.e. more than 250 meters), the importance of the presence of metro for the property price is lowered by around 1-5 per cent. This result is, however, significant at 5% significance level only in the case of OLS model; for other two models we also find negative coefficients but they are not statistically significant. The OLS results thus show that if the nearest metro is relatively far (400-800m) and there are other transports that are much closer, we may not expect as high increase in property prices caused by metro as in the case when there are no other transports that are closer than metro or other transports are nearly as far as the metro is (i.e. the distance between metro and tram/bus is less than 250 meters). ===== PAGE 11 (score 42, numeric-paren 25, table-words 4, var-words 5) ===== EJTIR 20(2), 2020, pp.41-59 51 Torzewski Public transport accessibility and the prices of nearby properties: the case of the first metro line in Warsaw Table 6. Estimation results with the interactions: OLS, SEM and SAR methods Method: OLS SEM SAR Variable: coef/se coef/se coef/se Metro: 0 - 400 m 0.130*** 0.132*** 0.084*** (0.026) (0.021) (0.015) Metro: 0 - 400 m x MOT 0.001 -0.006 -0.002 (0.025) (0.038) (0.036) Metro: 400 - 800 m 0.181*** 0.143*** 0.115*** (0.034) (0.032) (0.028) Metro: 400 - 800 m x MOT -0.055** -0.011 -0.030 (0.025) (0.032) (0.013) Metro: 800 - 1500 m 0.108*** 0.110*** 0.069*** (0.021) (0.017) (0.029) No. of observations 5 576 Notes: the same as in Table 4; Variable MOT is defined as a dummy variable equal to 1 if the nearest metro station is further away than 250 meters from other transport (bus or tram) and 0 if the nearest metro station is closer than 250 meters from other transport (bus or tram). Table 7. Direct, indirect and total effects derived for SAR model with interactions Direct Indirect Total Metro: 0 - 400 m 0.086 0.041 0.127 Metro: 0 - 400 m x MOT -0.002 -0.001 -0.003 Metro: 400 - 800 m 0.117 0.055 0.172 Metro: 400 - 800 m x MOT -0.030 -0.014 -0.045 Metro: 800 - 1500 m 0.071 0.033 0.104 5. Conclusion This paper provides quantitative evidence on how the proximity to metro affects selling prices of properties in Warsaw. The relation was assessed using AMRON-SARFiN 2006-2013 data and three estimation methods: OLS regression with clustered standard errors, SEM and SAR models. We found that metro proximity matters for the property prices and properties that are located close to the metro stations are valued more by the market. The positive impact of metro on prices of nearby properties – that are located up to 800 meters from the metro - is estimated to be 13 per cent. The positive effect is revealed in all three models and the two spatial models – SEM and SAR – additionally show spatial dependency of the neighboring properties. The effect is considerably higher than the findings received from meta-analyses of existing studies on the topic, which report virtually zero effect. As opposed to previous studies that analyzed the situation in cities with well- developed metro infrastructure, the current study shows how metro affects prices of nearby properties in Warsaw, in which the metro system is far less developed. The high positive effect of metro availability on property prices that has been uncovered suggests that the impact of metro is much larger when it is not easily accessible and is not considered as the main public transportation mode. Furthermore, the fact that housing affordability in Warsaw is low may also lead to a greater differentiation in property prices, with relatively more expensive properties having highly valued characteristics, such as easy access to metro system. At the same time, the obtained results are somehow lower than the ones provided for Warsaw by Bazyl (2009). This difference may stem from the fact that in the present study we use transaction prices, while the analysis in Bazyl (2009) is based on asking prices. In consequence, higher positive effects of metro found with the use of asking prices than actual transaction prices suggests that metro is perceived as highly valuable and it is expected to be capitalized in the prices of residential properties even by a higher value. ===== PAGE 12 (score 10, numeric-paren 0, table-words 0, var-words 10) ===== EJTIR 20(2), 2020, pp.41-59 52 Torzewski Public transport accessibility and the prices of nearby properties: the case of the first metro line in Warsaw Finally, because Warsaw public transportation system may be characterized by poor metro infrastructure but rich system of other public transports, we also analyze how the availability of other means of transport affects the uncovered high positive impact of metro. The results obtained from all three models suggest that the fact that other transports are closer than metro is not important for the high increase in the property selling price associated with metro if metro is close enough to the property (within 0-400 meters). As for the metro proximity of 400-800 meters from the property, the results suggest that other means of transport that are closer than metro lower the high positive impact of metro. The significant finding is, however, found only for OLS model. Several comments concerning the data and the analysis are called for. Given that the available data covered property transactions during 2006-2013 period, the present analysis examined the impact of metro proximity on property prices in Warsaw focusing on the first metro line. Since 2015 Warsaw metro network has been extended and a second metro line is now in operation. The results presented in this paper could be re-assessed by additionally including data from 2015 onwards to see whether the uncovered relations hold. An interesting future extension would be the comparison of the impacts of newly opened and the existing metro stations on property prices. Other possible extension could include the analysis of selected districts to reveal the regional heterogeneity in the estimated effect of metro proximity on property prices. Acknowledgments This work was supported by the grant No. 2016/21/N/HS4/00080 from the National Science Centre, Poland. The author would like to thank the participants of 2019 Spatial Statistics conference. References Al-Mosaind, M., K. Dueker, and J. Strathman (1994). Light Rail Transit Stations and Property Values: A Hedonic Price Approach. Transportation Research Record, 1400, 90–94. Anselin, L. (1988). Spatial econometrics: Methods and models. Kluwer Academic Publishers, Dordrecht. Anselin, L., and D. Arribas-Bel (2012). Spatial fixed effects and spatial dependence in a single cross- section. Papers in Regional Science, 92(1), 3-17. Armstrong, R.J., and Rodríguez, D.A. (2006). An Evaluation of the Accessibility Benefits of Commuter Rail in Eastern Massachusetts using Spatial Hedonic Price Functions. Transportation, 33, 21–43. Bae, C.C., Jun, M., and Park, H. (2003). The impact of Seoul’s subway Line 5 on residential property values Transport Policy, 10, 85–94. Bajic, V. (1983). The effects of a new subway line on housing prices in metropolitan Toronto. Urban Studies, 2, 147–158. Bazyl, M. (2009). Hedonic price model for Warsaw housing market. Working Papers, Department of Applied Econometrics, Warsaw School of Economics, 8, 1–16. Borkowska, M., Rozwadowska, M., Śleszyński, J., and T. Żylicz (2001). Environmental Amenities on the Housing Market in Warsaw, Hedonic Price Method Research. Ekonomia, 3, 70-82. Bowes, D. R., and Ihlanfeldt, K. R. (2001). Identifying the Impacts of Rail Transit Stations on Residential Property Values. Journal of Urban Economics, 50(1), 1–25. Cervero, R., and Kang, C. D. (2011). Bus rapid transit impacts on land uses and land values in Seoul, Korea, Transport Policy, 18(1), 102–116. ===== PAGE 15 (score 164, numeric-paren 139, table-words 1, var-words 7) ===== EJTIR 20(2), 2020, pp.41-59 55 Torzewski Public transport accessibility and the prices of nearby properties: the case of the first metro line in Warsaw Appendix Table A.1. Full estimation output for the main model using OLS, SEM and SAR methods Method: OLS SEM SAR Variable: coef/se coef/se coef/se Distance variables Metro: 0 - 400 m 0.131*** 0.131*** 0.084*** (0.025) (0.020) (0.014) Metro: 400 - 800 m 0.132*** 0.133*** 0.088*** (0.026) (0.017) (0.012) Metro: 800 - 1500 m 0.108*** 0.110*** 0.069*** (0.021) (0.017) (0.013) Centrum: 0 - 3 km 0.250*** 0.251*** 0.173*** (0.051) (0.028) (0.021) Centrum: 3 - 5 km 0.212*** 0.209*** 0.152*** (0.047) (0.023) (0.017) Centrum: 5- 7 km 0.126*** 0.118*** 0.092*** (0.033) (0.020) (0.014) Centrum: 7 - 10 km 0.103*** 0.104*** 0.078*** (0.034) (0.016) (0.011) Tram: 0 - 200 m -0.049*** -0.032* -0.030*** (0.018) (0.016) (0.012) Tram: 200 - 400 m -0.006 0.003 0.002 (0.018) (0.015) (0.011) Tram: 400 - 800 m 0.045** 0.044*** 0.035*** (0.019) (0.014) (0.010) Bus: 0 -100 m -0.044** -0.027 -0.031** (0.023) (0.020) (0.016) Bus: 100 - 250 m -0.019 -0.001 -0.007 (0.020) (0.019) (0.015) Bus: 250 - 400 m -0.006 0.007 0.003 (0.018) (0.019) (0.016) Physical characteristics Square meters: 0-35 0.054*** 0.055*** 0.052*** (0.011) (0.010) (0.010) Square meters: 60-90 0.000 -0.009 -0.005 (0.010) (0.008) (0.008) Square meters: >90 0.011 -0.002 0.003 (0.043) (0.011) (0.010) Floor 1 0.047*** 0.038*** 0.038*** (0.018) (0.011) (0.011) Floor 2 0.036* 0.020* 0.025** (0.022) (0.011) (0.011) Floor 3 0.034* 0.019* 0.024** (0.020) (0.011) (0.011) Floor 4 0.041* 0.033*** 0.034*** (0.024) (0.012) (0.012) Floor 5-6 0.044** 0.034*** 0.035*** (0.022) (0.013) (0.013) Floor 7-9 0.024 0.024 0.021 (0.024) (0.017) (0.017) Floor >=10 0.053 0.068*** 0.056** (0.033) (0.024) (0.024) Perpetual ownership 0.033*** 0.033*** 0.032*** (0.012) (0.009) (0.008) Other type of ownership -0.001 0.019 0.018 (0.044) (0.052) (0.050) Parking 0.001 0.007 0.005 (0.011) (0.008) (0.008) Age of the building: 0-2 0.129*** 0.135*** 0.119*** (0.020) (0.014) (0.013) Age of the building: 2-10 0.177*** 0.171*** 0.157*** ===== PAGE 16 (score 85, numeric-paren 52, table-words 2, var-words 14) ===== EJTIR 20(2), 2020, pp.41-59 56 Torzewski Public transport accessibility and the prices of nearby properties: the case of the first metro line in Warsaw (0.020) (0.013) (0.013) Age of the building: 10-50 -0.014 0.002 -0.005 (0.016) (0.010) (0.010) Primary market -0.082*** -0.069*** -0.065*** (0.019) (0.011) (0.011) Neighborhood characteristics Living condition index 0.169 0.219*** 0.122*** (0.110) (0.065) (0.047) Population density (thousands/m2) -0.009 -0.013*** -0.008*** (0.006) (0.004) (0.003) Share of green areas -0.001 -0.001*** -0.001** (0.001) (0.001) (0.000) Share of recreational areas 0.006*** 0.006*** 0.005*** (0.002) (0.001) (0.001) Crimes per 1000 inhabitants -0.000 -0.001** -0.001** (0.001) (0.001) (0.000) Children per 1000 children in kindergartens 0.000 0.000 0.000* (0.000) (0.000) (0.000) Constant 8.348*** 8.346*** 5.431*** (0.129) (0.050) (0.142) Lambda 0.366*** (0.017) Rho 0.335*** (0.016) Number of observations 5576 Table A.2. Direct, indirect and total effects derived for full estimation output for SAR model Direct Indirect Total Distance variables Metro: 0 - 400 m 0.086 0.041 0.127 Metro: 400 - 800 m 0.090 0.043 0.133 Metro: 800 - 1500 m 0.071 0.033 0.104 Centrum: 0 - 3 km 0.176 0.083 0.260 Centrum: 3 - 5 km 0.155 0.074 0.229 Centrum: 5- 7 km 0.094 0.044 0.138 Centrum: 7 - 10 km 0.079 0.038 0.117 Tram: 0 - 200 m -0.031 -0.015 -0.046 Tram: 200 - 400 m 0.002 0.001 0.003 Tram: 400 - 800 m 0.036 0.017 0.052 Bus: 0 -100 m -0.032 -0.015 -0.047 Bus: 100 - 250 m -0.007 -0.003 -0.011 Bus: 250 - 400 m 0.003 0.001 0.004 Physical characteristics Square meters: 0-35 0.053 0.025 0.079 Square meters: 60-90 -0.005 -0.002 -0.007 Square meters: >90 0.003 0.002 0.005 Floor 1 0.039 0.018 0.057 Floor 2 0.026 0.012 0.038 Floor 3 0.025 0.012 0.037 Floor 4 0.035 0.016 0.051 Floor 5-6 0.036 0.017 0.053 Floor 7-9 0.021 0.010 0.032 Floor >=10 0.058 0.027 0.085 Perpetual ownership 0.033 0.015 0.048 Other type of ownership 0.018 0.009 0.027 Parking 0.005 0.002 0.008 Age of the building: 0-2 0.122 0.058 0.179 Age of the building: 2-10 0.161 0.076 0.237 Age of the building: 10-50 -0.005 -0.002 -0.008 Primary market -0.066 -0.031 -0.098 ===== PAGE 17 (score 146, numeric-paren 117, table-words 1, var-words 12) ===== EJTIR 20(2), 2020, pp.41-59 57 Torzewski Public transport accessibility and the prices of nearby properties: the case of the first metro line in Warsaw Neighborhood characteristics Living condition index 0.125 0.059 0.184 Population density (thousands/m2) -0.008 -0.004 -0.012 Share of green areas -0.001 0.000 -0.001 Share of recreational areas 0.005 0.002 0.008 Crimes per 1000 inhabitants -0.001 0.000 -0.001 Children per 1000 children in kindergartens 0.000 0.000 0.000 Table A.3. Full estimation output for the model with interaction terms using OLS, SEM and SAR methods Method: OLS SEM SAR Variable: coef/se coef/se coef/se Distance variables Metro: 0 - 400 m 0.130*** 0.132*** 0.084*** (0.026) (0.021) (0.015) Metro: 0 - 400 m x MOT 0.001 -0.006 -0.002 (0.025) (0.038) (0.036) Metro: 400 - 800 m 0.181*** 0.143*** 0.115*** (0.034) (0.032) (0.028) Metro: 400 - 800 m x MOT -0.055** -0.011 -0.030 (0.025) (0.032) (0.029) Metro: 800 - 1500 m 0.108*** 0.110*** 0.069*** (0.021) (0.017) (0.013) Centrum: 0 - 3 km 0.251*** 0.251*** 0.173*** (0.051) (0.028) (0.021) Centrum: 3 - 5 km 0.213*** 0.209*** 0.153*** (0.046) (0.023) (0.017) Centrum: 5- 7 km 0.126*** 0.118*** 0.092*** (0.033) (0.020) (0.014) Centrum: 7 - 10 km 0.104*** 0.104*** 0.078*** (0.033) (0.016) (0.011) Tram: 0 - 200 m -0.048*** -0.032* -0.030** (0.018) (0.016) (0.012) Tram: 200 - 400 m -0.006 0.003 0.002 (0.018) (0.015) (0.011) Tram: 400 - 800 m 0.045** 0.044*** 0.035*** (0.019) (0.014) (0.010) Bus: 0 -100 m -0.042* -0.026 -0.030* (0.021) (0.020) (0.016) Bus: 100 - 250 m -0.016 -0.001 -0.006 (0.019) (0.019) (0.015) Bus: 250 - 400 m -0.006 0.007 0.003 (0.018) (0.019) (0.016) Physical characteristics Square meters: 0-35 0.054*** 0.055*** 0.052*** (0.011) (0.010) (0.010) Square meters: 60-90 0.001 -0.009 -0.005 (0.010) (0.008) (0.008) Square meters: >90 0.011 -0.002 0.003 (0.043) (0.011) (0.010) Floor 1 0.047*** 0.038*** 0.038*** (0.018) (0.011) (0.011) Floor 2 0.036* 0.020* 0.025** (0.022) (0.011) (0.011) Floor 3 0.033* 0.019* 0.024** (0.020) (0.011) (0.011) Floor 4 0.041* 0.032*** 0.034*** (0.024) (0.012) (0.012) Floor 5-6 0.044** 0.034*** 0.035*** (0.022) (0.013) (0.013) Floor 7-9 0.024 0.024 0.021 ===== PAGE 18 (score 103, numeric-paren 80, table-words 1, var-words 12) ===== EJTIR 20(2), 2020, pp.41-59 58 Torzewski Public transport accessibility and the prices of nearby properties: the case of the first metro line in Warsaw (0.024) (0.017) (0.017) Floor >=10 0.053 0.068*** 0.056** (0.033) (0.024) (0.024) Perpetual ownership 0.033*** 0.033*** 0.032*** (0.012) (0.009) (0.008) Other type of ownership 0.001 0.019 0.019 (0.045) (0.052) (0.050) Parking 0.002 0.007 0.005 (0.011) (0.008) (0.008) Age of the building: 0-2 0.129*** 0.135*** 0.119*** (0.020) (0.014) (0.013) Age of the building: 2-10 0.177*** 0.171*** 0.157*** (0.020) (0.013) (0.013) Age of the building: 10-50 -0.014 0.002 -0.005 (0.016) (0.010) (0.010) Primary market -0.082*** -0.069*** -0.065*** (0.019) (0.011) (0.011) Neighborhood characteristics Living condition index 0.169 0.219*** 0.122*** (0.110) (0.065) (0.047) Population density (thousands/m2) -0.009 -0.013*** -0.008*** (0.006) (0.004) (0.003) Share of green areas -0.001 -0.001*** -0.001** (0.001) (0.001) (0.000) Share of recreational areas 0.006*** 0.006*** 0.005*** (0.002) (0.001) (0.001) Crimes per 1000 inhabitants -0.000 -0.001** -0.001** (0.001) (0.001) (0.000) Children per 1000 children in kindergartens 0.000 0.000 0.000* (0.000) (0.000) (0.000) Constant 8.344*** 8.345 5.435*** (0.129) (0.050) (0.143) Lambda 0.366*** (0.017) Rho 0.335*** (0.016) Number of observations 5576 ===== PAGE 19 (score 27, numeric-paren 0, table-words 1, var-words 14) ===== EJTIR 20(2), 2020, pp.41-59 59 Torzewski Public transport accessibility and the prices of nearby properties: the case of the first metro line in Warsaw Table A.4. Direct, indirect and total effects derived for full estimation output for SAR model with interactions Direct Indirect Total Distance variables Metro: 0 - 400 m 0.086 0.041 0.127 Metro: 0 - 400 m x MOT -0.002 -0.001 -0.003 Metro: 400 - 800 m 0.117 0.055 0.172 Metro: 400 - 800 m x MOT -0.030 -0.014 -0.045 Metro: 800 - 1500 m 0.071 0.033 0.104 Centrum: 0 - 3 km 0.177 0.084 0.261 Centrum: 3 - 5 km 0.156 0.074 0.230 Centrum: 5- 7 km 0.094 0.044 0.139 Centrum: 7 - 10 km 0.080 0.038 0.118 Tram: 0 - 200 m -0.030 -0.014 -0.045 Tram: 200 - 400 m 0.002 0.001 0.003 Tram: 400 - 800 m 0.036 0.017 0.053 Bus: 0 -100 m -0.030 -0.014 -0.045 Bus: 100 - 250 m -0.006 -0.003 -0.009 Bus: 250 - 400 m 0.003 0.001 0.004 Physical characteristics Square meters: 0-35 0.053 0.025 0.079 Square meters: 60-90 -0.005 -0.002 -0.007 Square meters: >90 0.003 0.002 0.005 Floor 1 0.039 0.018 0.057 Floor 2 0.026 0.012 0.038 Floor 3 0.025 0.012 0.036 Floor 4 0.034 0.016 0.051 Floor 5-6 0.036 0.017 0.052 Floor 7-9 0.021 0.010 0.032 Floor >=10 0.058 0.027 0.085 Perpetual ownership 0.033 0.016 0.048 Other type of ownership 0.019 0.009 0.029 Parking 0.005 0.003 0.008 Age of the building: 0-2 0.122 0.058 0.179 Age of the building: 2-10 0.161 0.076 0.236 Age of the building: 10-50 -0.005 -0.002 -0.008 Primary market -0.066 -0.031 -0.098 Neighborhood characteristics Living condition index 0.125 0.059 0.184 Population density (thousands/m2) -0.008 -0.004 -0.012 Share of green areas -0.001 0.000 -0.001 Share of recreational areas 0.005 0.002 0.007 Crimes per 1000 inhabitants -0.001 0.000 -0.001 Children per 1000 children in kindergartens 0.000 0.000 0.000