Analysis of the impact of policy measures on parking behavior using interpretable time series models

Elisabeth Fokker

Centrum Wiskunde & Informatica

Elenna Dugundji

Massachusetts Institute of Technology

Thomas Koch

Massachusetts Institute of Technology

DOI: https://doi.org/10.5198/jtlu.2024.2455

Keywords: Time series forecasting, Machine learning, On-street parking, Park and ride, Interpretable time series models


Abstract

Growing awareness of the environmental impact of abundant parking has led to recent measures focused on decreasing car use in urban areas. This paper employs interpretable time series models to analyze the effects of these measures on parking demand. The study utilizes a dataset of more than 22 million parking transactions from 3,594 on-street selling points and 8 park-and-ride (P&R) locations in Amsterdam. Three models with external regressors, namely, Error Trend Seasonality (ETSX) models, Seasonal Autoregressive Integrated Moving Average (SARIMAX) models, and Interpretable Multi-Variate Long Short-Term Memory (IMV-LSTM) models, are compared against a Seasonal Naïve benchmark model. The ETSX model achieved the lowest error values, as indicated by both RMSE and SMAPE. The results show a significant decrease in parking (up to a 77% decline), primarily attributed to the tariff change, which had a greater impact than the introduction of a metro line. Moreover, both measures caused a shift in parking to P&R locations and peripheral areas. The introduction of the metro line led to more parking near a new metro station. In addition, COVID-19 measures resulted in a significant decrease in parking demand. These results are presented in an application that visualizes the influence of external regressors on parking ticket demand.


References

Akiba, T., Sano, S., Yanase, T., Ohta, T., & Koyama, M. (2019). Optuna: A next-generation hyperparameter optimization framework. Proceedings of the 25th ACM SIGKDD International Conference on Knowledge Discovery & Data Mining, 2623–2631.

Arjona, J., Linaresa, M., Casanovas-Garcia, J., & Vázqueza, J. J. (2020). Improving parking availability information using deep learning techniques. Transportation Research Procedia, 47, 385–392.

Arnott, R., & Inci, E. (2006). An integrated model of downtown parking and traffic congestion. Journal of Urban Economics, 60(3), 418–442.

Barter, P. A. (2011). Parking Policy in Asian Cities. Retrieved from https://www.adb.org/publications/parking-policy-asian-cities

Bisht, D. C. S., & Ram, M. (2021). Recent advances in time series forecasting. Boca Raton, FL: CRC Press.

Camero, A., Toutouh, J., Stolfi, D. H., & Alba, E. (2019). Evolutionary deep learning for car park occupancy prediction in smart cities. Learning and Intelligent Optimization: 12th International Conference, LION 12, Kalamata, Greece, June 10–15, 2018, Revised Selected Papers 12, 386–401.

Craney, T. A., & Surles, J. G. (2002). Model-dependent variance inflation factor cutoff values. Quality Engineering, 14(3), 391–403.

Engel-Yan, J., Hollingworth, B., & Anderson, S. (2007). Will reducing parking standards lead to reductions in parking supply? Results of extensive commercial parking survey in Toronto, Canada. Transportation Research Record, 2010(1), 102–110.

Fabusuyi, T., Hampshire, R. C., Hill, V. A., & Sasanuma, K. (2014). Decision analytics for parking availability in downtown Pittsburgh. Interfaces, 44(3), 286–299.

Feng, N., Zhang, F., Lin, J., Zhai, J., & Du, X. (2019). Statistical analysis and prediction of parking behavior. Network and Parallel Computing: 16th IFIP WG 10.3 International Conference, NPC 2019, Hohhot, China, August 23–24, 2019, Proceedings 16, 93–104.

Fokker, E. S., Koch, T., & Dugundji, E. R. (2021). Long-Term forecasting of off-street parking occupancy for smart cities. Retrieved from https://doi.org/10.1177/03611981211036373

Fokker, E. S., Koch, T., van Leeuwen, M., & Dugundji, E. R. (2022). Short-term forecasting of off-street parking occupancy. Transportation Research Record, 2676(1), 637–654.

Ghosal, S. S., Bani, A., Amrouss, A., & El Hallaoui, I. (2019). A deep learning approach to predict parking occupancy using cluster augmented learning method. 2019 International Conference on Data Mining Workshops (ICDMW), 581–586.

Guha, S., Mishra, N., Roy, G., & Schrijvers, O. (2016). Robust random cut forest-based anomaly detection on streams. International Conference on Machine Learning, 2712–2721.

Guo, T., Lin, T., & Antulov-Fantulin, N. (2019). Exploring interpretable LSTM neural networks over multi-variable data. International Conference on Machine Learning, 2494–2504.

Hochreiter, S., & Schmidhuber, J. (1997). Long short-term memory. Neural Computation, 9(8), 1735–1780.

Hyndman, R. J., Koehler, A. B., Ord, J. K., & Snyder, R. D. (2008). Forecasting with exponential smoothing: The state space approach. Berlin: Springer Science & Business Media.

Inci, E. (2015). A review of the economics of parking. Economics of Transportation, 4(1–2), 50–63.

Jakle, J. A., & Sculle, K. A. (2004). Introduction In Lots of parking: Land use in a car culture. Charlottesville, VA: University of Virginia Press.

Keen, P. G. W. (1980). Decision support systems and managerial productivity analysis (Issue CISR technical report No. 60 and Sloan W.P. No. 115680). Cambridge, MA: MIT.

Kelly, J. A., & Clinch, J. P. (2006). Influence of varied parking tariffs on parking occupancy levels by trip purpose. Transport Policy, 13(6), 487–495.

Kirschner, F., & Lanzendorf, M. (2020). Parking management for promoting sustainable transport in urban neighborhoods. A review of existing policies and challenges from a German perspective. Transport Reviews, 40(1), 54–75.

Kodransky, M., & Hermann, G. (2011). Europe’s parking u-turn: From accommodation to regulation. New York: Institute for Transportation and Development Policy.

Liu, K. S., Gao, J., Wu, X., & Lin, S. (2018). On-street parking guidance with real-time sensing data for smart cities. 2018 15th Annual IEEE International Conference on Sensing, Communication, and Networking (SECON), 1–9.

Lu, E. H.-C., & Liao, C.-H. (2018). A parking occupancy prediction approach based on spatial and temporal analysis. Intelligent Information and Database Systems: 10th Asian Conference, ACIIDS 2018, Dong Hoi City, Vietnam, March 19-21, 2018, Proceedings, Part I 10, 500–509.

Makridakis, S., Wheelwright, S. C., & Hyndman, R. J. (2008). Forecasting methods and applications (3rd ed.). Hoboken, NJ: John Wiley & Sons. https://books.google.nl/books?id=nxt0CgAAQBAJ

Marsden, G. (2014). Parking policy. In Parking issues and policies (pp. 11–32). Bingley, UK: Emerald Group Publishing Limited.

Miller, T. (2019). Explanation in artificial intelligence: Insights from the social sciences. Artificial Intelligence, 267, 1–38.

Mingardo, G., van Wee, B., & Rye, T. (2015). Urban parking policy in Europe: A conceptualization of past and possible future trends. Transportation Research Part A: Policy and Practice, 74, 268–281.

Mukhija, V., & Shoup, D. (2006). Quantity versus quality in off-street parking requirements. Journal of the American Planning Association, 72(3), 296–308.

Municipality of Amsterdam; Department of Traffic and Public Space. (2020). Amsterdam maakt ruimte. Agenda Amsterdam autoluw. Amsterdam: Municipality of Amsterdam, Department of Traffic and Public Space. https://www.amsterdam.nl/verkeer-vervoer/agenda-amsterdam-autoluw/

Pflügler, C., Köhn, T., Schreieck, M., Wiesche, M., & Krcmar, H. (2016). Predicting the availability of parking spaces with publicly available data. In H. C. Mayr & M. Pinzger (Eds.), Infomatik 2016, Lecture notes in informatics (pp. 361–374). Bonn, Germany: Gesellschaft für Informatik.

Provoost, J. C., Kamilaris, A., Wismans, L. J. J., van Der Drift, S. J., & van Keulen, M. (2020). Predicting parking occupancy via machine learning in the web of things. Internet of Things, 12, 100301. http://www.sciencedirect.com/science/article/pii/

Richter, F., Di Martino, S., & Mattfeld, D. C. (2014). Temporal and spatial clustering for a parking prediction service. 2014 IEEE 26th International Conference on Tools with Artificial Intelligence, 278–282.

Rong, Y., Xu, Z., Yan, R., & Ma, X. (2018). Du-parking: Spatio-temporal big data tells you real-time parking availability. Proceedings of the 24th ACM SIGKDD International Conference on Knowledge Discovery & Data Mining, 646–654.

Russell, S. J., & Norvig, P. (2016). Artificial intelligence: A modern approach (3rd ed.). London: Pearson Education, Inc.

Shoup, D. C. (2005). High cost of free parking (1st ed.). London: Routledge. https://doi.org/https://doi.org/10.4324/9781351179539

Shoup, D. C. (2006). Cruising for parking. Transport Policy, 13(6), 479–486.

Taylor, E. J. (2020). Chapter 2 – Melbourne: Australia. In D. Pojani, J. Corcoran, N. Sipe, I. Mateo-Babiano & D. Stead (Eds), Parking: An international perspective (pp 15–35). Elsevier. https://doi.org/10.1016/C2017-0-02976-2

van Der Lof, M., & Bussink, B. (2019). Amsterdamse thermometer van de openbare ruimte 2019. Amsterdam: Municipality of Amsterdam, Department of Traffic and Public Space. https://openresearch.amsterdam/nl/page/87828/amsterdamse-thermometer-van-de-bereikbaarheid-2019

Wang, H., Li, R., Wang X.C, & Shang, P. (2020). Effect of on-street parking pricing policies on parking characteristics: A case study of Nanning. Transportation Research Part A: Policy and Practice, 137, 65–78.

Welsh, G., & Bishop, G. (1995). An introduction to the Kalman filter. Chapel Hill, NC: University of North Carolina.

Zhang, F., Liu, Y., Feng, N., Yang, C., Zhai, J., Zhang, S., ..., & Du, X. (2021). Periodic weather-aware LSTM with event mechanism for parking behavior prediction. IEEE Transactions on Knowledge and Data Engineering, 34(12), 5896–5909.