A System Dynamics Approach: For Modeling Natural Infrastructure Aging in Sustainable Urban Water Supply Systems
Keywords:
Sustainable Urban Water System, System Dynamics model, Infrastructure Aging, Installed Network Health ConditionsAbstract
The provision of safe and reliable drinking water is fundamental to urban quality of life and sustainable economic development. However, aging water-supply infrastructure can progressively increase leakage, reduce service reliability, and intensify long-term asset-management pressures. This study develops a System Dynamics model that explicitly represents the natural aging of urban water-distribution infrastructure and evaluates its implications over a 50-year planning horizon. The model represents pipe cohorts by age and quantifies leakage fraction, serviceable life, and the proportion of infrastructure exceeding a 50-year service-life threshold. Two scenarios are evaluated: a newly developed network in which the 1,000-km network initially occupies the youngest age cohort, and a mature network in which the same total length is distributed equally among four age cohorts below 50 years. The simulations show that the Base Scenario leakage fraction increases from 0.10 to 0.70, whereas Scenario 1 increases from 0.35 to 0.81 by Year 50. Over the same horizon, the serviceable-life indicator increases from 6 to 42 years in the Base Scenario and from 25 to 46.5 years in Scenario 1. Despite the higher serviceable-life indicator in Scenario 1 at Year 50, its over-aged network fraction reaches 78%, compared with 54% in the Base Scenario. The results demonstrate that aggregate serviceable-life measures can mask the physical deterioration of aging infrastructure and should therefore be complemented by age-based condition and leakage indicators. The study provides a quantitative systems-thinking framework for long-term infrastructure planning and supports proactive asset replacement, condition-based rehabilitation, and evidence-based investment decisions.
References
Adeniran, A. E., & Bamiro, O. A. (2010). A system dynamics strategic planning model for a municipal water supply scheme. Proceedings of the International Conference of the System Dynamics Society. International System Dynamics Society.
Ahmad, S., & Prashar, D. (2010). Evaluating municipal water conservation policies using a dynamic simulation model. Water Resources Management, 24(13), 3371–3395. https://doi.org/10.1007/s11269-010-9611-2
Ahmad, S., & Simonovic, S. P. (2000). System dynamics modeling of reservoir operations for flood management. Journal of Computing in Civil Engineering, 14(3), 190–198. https://doi.org/10.1061/(ASCE)0887-3801(2000)14:3(190)
Ahopelto, S., & Vahala, R. (2020). Cost–benefit analysis of leakage reduction methods in water supply networks. Water, 12(1), 195. https://doi.org/10.3390/w12010195
Alegre, H., Baptista, J. M., Cabrera, E., Jr., Cubillo, F., Duarte, P., Hirner, W., Merkel, W., & Parena, R. (2006). Performance indicators for water supply services (2nd ed.). IWA Publishing.
American Water Works Association. (2012). Buried no longer: Confronting America's water infrastructure challenge.
American Water Works Service Co., Inc. (2002). Deteriorating buried infrastructure management challenges and strategies. Environmental Protection Agency (EPA). http://www.epa.gov/ogwdw/disinfection/tcr/pdfs/whitepaper_tcr_infrastructure.pdf
Araujo, L. S., Ramos, H., & Coelho, S. T. (2006). Pressure control for leakage minimisation in water distribution systems management. Water Resources Management, 20(1), 133–149. https://doi.org/10.1007/s11269-006-4635-3
Ariffin, R. N. R., Sawon, S., & Abd Rahman, N. H. (2024). Contextualizing institutional capacity in water governance framework: A literature review. Water Policy, 26(1), 18–36. https://doi.org/10.2166/wp.2023.074
Asnaashari, A., McBean, E., Gharabaghi, B., Pourrajab, R., & Shahrour, I. (2010). Survival rate analyses of water mains: A comparison of case studies for Canada and Iran. Journal of Water Management Modeling, 18, 501–512. https://doi.org/10.14796/jwmm.r236-30
Aydogdu, M., & Firat, M. (2015). Estimation of failure rate in water distribution network using fuzzy clustering and LS-SVM methods. Water Resources Management, 29(5), 1575–1590. https://doi.org/10.1007/s11269-014-0895-5
Bala, B. K., Arshad, F. M., & Noh, K. M. (2017). System dynamics: Modelling and simulation. Springer Singapore. https://doi.org/10.1007/978-981-10-2045-2
Baldwin, C., & Hamstead, M. (2014). Integrated water resource planning. Routledge.
Bani Fawwaz, M. D., Najafi, M., & Kaushal, V. (2023). Asset management of wastewater interceptors adjacent to bodies of water. Water, 15(23), Article 4176. https://doi.org/10.3390/w15234176
Barton, N. A., Farewell, T. S., & Hallett, S. H. (2020). Using generalized additive models to investigate the environmental effects on pipe failure in clean water networks. npj Clean Water, 3, 31. https://doi.org/10.1038/s41545-020-0077-3
Barton, N. A., Hallett, S. H., Jude, S. R., & Tran, T. H. (2022). An evolution of statistical pipe failure models for drinking water networks: A targeted review. Water Supply, 22(4), 3784–3813. https://doi.org/10.2166/ws.2022.019
Batish, R. (2003). A new approach to the design of intermittent water supply networks. In Proceedings of the World Water and Environmental Resources Congress (pp. 1–11).
Berardi, L., & Giustolisi, O. (2021). Calibration of design models for leakage management of water distribution networks. Water Resources Management, 35(8), 2537–2551. https://doi.org/10.1007/s11269-021-02847-x
Brooks, D. A., Brandes, O., and Gurman, S. (2009). Making the most of the water we have: The soft path approach to water management. Earthscan.
Burn, S., Davis, P., Schiller, T., Tiganis, B., Tjandraatmadja, G., Cardy, M., Gould, S., Sadler, P., & Whittle, A. J. (2005). Long-term performance prediction for PVC pipes. AWWA Research Foundation.
Butler, D., & Davies, J. W. (2018). Urban drainage (4th ed.). CRC Press.
Cheng, Q., & Chang, N.-B. (2011). System dynamics modelling for municipal water demand estimation in an urban region under uncertain economic impacts. Journal of Environmental Management, 92(6), 1628–1641. https://doi.org/10.1016/j.jenvman.2011.01.006
Communication and Works Department [C&W]. (2019). Depreciation formula for building and infrastructure asset valuation (Asset Management and Infrastructure Assessment Report).
de Araujo, W. C., Esquerre, K. P. O., & Sahin, O. (2019). Building a system dynamics model to support water management: A case study of the semiarid region in the Brazilian Northeast. Water, 11(12), Article 2513. https://doi.org/10.3390/w11122513
De Loë, R. C. (1991). The institutional pattern for water quality management in Ontario. Canadian Water Resources Journal, 16(1), 23–43. https://doi.org/10.4296/cwrj1601023
El Sawah, M., Guillaume, H. A., Jakeman, A. J., & Hamouda, O. H. (2010). An integrated model for assessment of water–wastewater systems management strategies under uncertainty. Environmental Modelling and Software, 25(12), 1602–1615.
Fagan, J. E., Reuter, M. A., & Langford, K. J. (2010). Dynamic performance metrics to assess sustainability and cost-effectiveness of integrated urban water systems. Resources, Conservation and Recycling, 54(10), 719–736. https://doi.org/10.1016/j.resconrec.2009.12.002
Fan, X., Zhang, X., & Yu, X. (2021). Machine learning model and strategy for fast and accurate detection of leaks in water supply network. Journal of Infrastructure Preservation and Resilience, 2, Article 10. https://doi.org/10.1186/s43065-021-00021-6
Farh, H. M. H., Ben Seghier, M. E. A., Taiwo, R., & Zayed, T. (2023). Analysis and ranking of corrosion causes for water pipelines: A critical review. npj Clean Water, 6(1), Article 65. https://doi.org/10.1038/s41545-023-00275-5
Farley, M. J., & Trow, S. (2003). Losses in water distribution networks: A practitioner’s guide to assessment, monitoring and control. IWA Publishing.
Federal Highway Administration. (1999). Asset management primer. U.S. Department of Transportation.
Ferrante, M., Brunone, B., & Meniconi, S. (2014). Leakage calibration of water distribution networks. Procedia Engineering, 89, 664–671. https://doi.org/10.1016/j.proeng.2014.11.492
Folkman, S. (2018a). Water main break rates in the USA and Canada: A comprehensive study. Utah State University, Buried Structures Laboratory.
Folkman, S. (2018b). Water main rehabilitation. Utah State University, Buried Structures Laboratory.
Forrester, J. W. (1961). Industrial dynamics. MIT Press.
Gajurel, S., Maheshwari, B., Hagare, D., Ward, J., & Singh, P. K. (2024). Impediments to, and opportunities for, the incorporation of science into policy and practice in the sustainable management of groundwater in Pakistan. Water, 17(24), Article 3496. https://doi.org/10.3390/w17243496
Gannett Fleming Valuation and Rate Consultants, LLC. (2022). Depreciation study for electric, gas and common plant of NorthWestern Energy (Test year ending December 31, 2022) [Regulatory filing document].
Gleick, P. H. (1993). Water in crisis: A guide to the world's fresh water resources. Oxford University Press.
Global Water Partnership. (2000). Integrated water resources management (GWP Technical Advisory Committee Report).
Grigg, N. S., & Bryson, M. C. (1975). Interactive simulation for water system dynamics. Journal of the Urban Planning and Development Division, 101(1), 77–92. https://doi.org/10.1061/JUPDAJ.0000222
Guest, J. S., Skerlos, S. J., Daigger, G. T., Corbett, J. R. E., & Love, N. G. (2010). The use of qualitative system dynamics to identify sustainability characteristics of decentralized wastewater management alternatives. Water Science and Technology, 61(6), 1637–1644. https://doi.org/10.2166/wst.2010.880
Halfawy, M. R., & Figueroa, R. (2006). Developing enterprise GIS-based data repositories for municipal infrastructure asset management. In Proceedings of the Joint International Conference on Computing and Decision Making in Civil and Building Engineering (pp. 1684–1693). Montreal, Canada.
Hannon, B., and Ruth, M. (1994). Dynamic modeling. Springer-Verlag.
Harvey, R., McBean, E. A., & Gharabaghi, B. (2014). Predicting the timing of water main failure using artificial neural networks. Journal of Water Resources Planning and Management, 140(4), 425–434. https://doi.org/10.1061/(ASCE)WR.1943-5452.0000354
Hassan, Z., Saeed, S., Rehan, R., Khan, F. A., Khan, M. M., & Ali, A. (2025). Sustainable urban water supply: A system dynamics approach. Spectrum of Engineering Sciences, 3(8). https://doi.org/10.5281/zenodo.16810366
Hudson, W. R., Haas, R. C. G., & Uddin, W. (1997). Infrastructure management: Integrating design, construction, maintenance, rehabilitation, and renovation. McGraw-Hill.
Hukka, J. J., & Katko, T. S. (2015). Resilient asset management and governance for deteriorating water services infrastructure. Procedia Economics and Finance, 21, 112–119. https://doi.org/10.1016/S2212-5671(15)00157-4
Jensen, O., & Wu, H. (2018). Urban water security indicators: Development and pilot. Environmental Science and Policy, 83, 33–45. https://doi.org/10.1016/j.envsci.2018.02.003
Kithinji, F. K. (2015). Factors influencing households’ access to drinking water: The case of communities in Imenti South, Kenya (M.A. thesis, Institute for Development Studies, University of Nairobi). http://hdl.handle.net/11295/93219
Kleiner, Y., & Rajani, B. (2001). Comprehensive review of structural deterioration of water mains: Physically based models. Urban Water, 3(3), 151–164. https://doi.org/10.1016/S1462-0758(01)00032-2
Kotz, C., & Hiessl, H. (2005). Agent-based simulation of technical innovation processes in urban infrastructure systems. Water Science and Technology: Water Supply, 5(3–4), 241–248.
Kunwar, S., Mishra, N., Khali, H., & Deep, A. (2026). Impacts of climate change on groundwater resources: A comprehensive review. Frontiers in Environmental Science, 14, 1606354. https://doi.org/10.3389/fenvs.2026.1606354
Lambert, A. (2001). What do we know about pressure: Leakage relationships in distribution systems? In IWA Conference Proceedings.
Lambert, A. (2001). What do we know about pressure: Leakage relationships in distribution systems? In IWA Conference Proceedings.
Lambert, R., Thornton, A., Keatley, M., & Surlin, S. (2002). Managing leakage by pressure control and infrastructure management. International Water Association (IWA) Publishing.
Lewandowski, J., Meinikmann, K., & Krause, S. (2020). Groundwater–surface water interactions: Recent advances and interdisciplinary challenges. Water, 12(1), Article 296. https://doi.org/10.3390/w12010296
Liu, S., Karandish, F., & de Graaf, I. (2025). Global Groundwater Sustainability: A Critical Review of Strategies and Future Pathways. Journal of Hydrology, 657, Article 133060. https://doi.org/10.1016/j.jhydrol.2025.133060
Marlow, D. R., Moglia, M., Cook, S., & Beale, D. J. (2013). Towards sustainable urban water management: A critical reassessment. Water Research, 47(20), 7150–7161. https://doi.org/10.1016/j.watres.2013.07.046
Mayer, P. W., DeOreo, W. B., Opitz, E. M., Kiefer, J. C., Dziegielewski, B., Davis, W. O., & Nelson, J. O. (1999). Residential end uses of water. American Water Works Association Research Foundation.
Meadows, D. H., Meadows, D. L., Randers, J., & Behrens, W. W., III. (1972). The limits to growth. Universe Books.
Mirza, S., & Haider, M. (2003). The state of infrastructure in Canada: Implications for planning and policy (Report prepared for Infrastructure Canada). McGill University.
Mukherjee, A., Jha, M. K., Kim, K.-W., & Pacheco, F. A. L. (2024). Groundwater resources: Challenges and future opportunities. Scientific Reports, 14, 28540. https://doi.org/10.1038/s41598-024-79936-5
Murad, A. A., Al Nuaimi, H., & Al Hammadi, M. (2007). Comprehensive assessment of water resources in the United Arab Emirates (UAE). Water Resources Management, 21(9), 1449–1463. https://doi.org/10.1007/s11269-006-9093-4
Najafi, M. (2005a). Trenchless technology: Pipeline and utility design, construction, and renewal. McGraw-Hill.
Najafi, M., & Gokhale, S. (2005b). Trenchless technology: Planning, equipment, and methods. McGraw-Hill.
North Western Energy Group, Inc. (2022). Annual report (Form 10-K). https://www.northwesternenergy.com/docs/default-source/default-document-library/about-us/investors/annual-reports/annual-report-2022.pdf
North Western Energy Group, Inc. (2023). Depreciation and amortization methods and rates (Regulatory Schedule E-2 working papers).
Qin, H., Sun, A., Jiang, L., & Zheng, C. (2012). System dynamics analysis of water supply and demand in the North China Plain. Water Policy, 14(2), 214–231. https://doi.org/10.2166/wp.2011.106
Radutu, A., Luca, O., & Gogu, C. R. (2022). Groundwater and urban planning perspective. Water, 14(10), Article 1627. https://doi.org/10.3390/w14101627
Rajani, B., & Kleiner, Y. (2001). Comprehensive review of structural deterioration of water mains: Statistical models. Urban Water, 3(3), 131–150. https://doi.org/10.1016/S1462-0758(01)00033-4
Rehan, A., Fung, K. K., El Saliby, M., & Park, J. H. (2011a). Urban water management: A system dynamics approach to assess the long-term financial sustainability of water utilities. Water Science and Technology, 63(10), 2281–2288. https://doi.org/10.2166/wst.2011.444
Rehan, R. (2011). Sustainable municipal water and wastewater management using system dynamics (Ph.D. dissertation, University of Waterloo). http://hdl.handle.net/10012/6392
Rehan, R., Knight, M. A., Haas, C. T., & Unger, A. J. A. (2011b). Application of system dynamics for developing financially self-sustaining management policies for water and wastewater systems. Water Research, 45(16), 4737–4750. https://doi.org/10.1016/j.watres.2011.06.001
Rehan, R., Unger, A. J. A., Knight, M. A., & Haas, C. T. (2014). Financially sustainable management strategies for urban wastewater collection infrastructure—development of a system dynamics model. Tunnelling and Underground Space Technology, 39, 116–129. https://doi.org/10.1016/j.tust.2012.12.003
Rezaei, H., Ryan, B., & Stoianov, I. (2015). Pipe failure analysis and impact of dynamic hydraulic conditions in water supply networks. Procedia Engineering, 119, 253–262. https://doi.org/10.1016/j.proeng.2015.08.883
Richardson, G. P. (1991). Feedback thought in social science and systems theory. University of Pennsylvania Press.
Richardson, G. P., & Pugh, A. L. (1981). Introduction to system dynamics modeling with DYNAMO. MIT Press.
Richmond, B. (1994). System dynamics/systems thinking: Let's just get on with it. System Dynamics Review, 10(2–3), 135–157. https://doi.org/10.1002/sdr.4260100204
Rifaai, T. M., Abokifa, A. A., & Sela, L. (2022). Integrated approach for pipe failure prediction and condition scoring in water infrastructure systems. Reliability Engineering & System Safety, 220, 108271. https://doi.org/10.1016/j.ress.2021.108271
Scheidegger, A., Leitão, J., & Scholten, L. (2015). Statistical failure models for water distribution pipes: A review from a unified perspective. Water Research, 83, 237–247. https://doi.org/10.1016/j.watres.2015.06.027
Selvakumar, A., Clark, R. M., & Sivaganesan, M. (2002). Costs for water supply distribution system rehabilitation. Journal of Water Resources Planning and Management, 128(4), 303–306. https://doi.org/10.1061/(ASCE)0733-9496(2002)128:4(303)
Serafeim, A. V., Fourniotis, N. T., Deidda, R., Kokosalakis, G., & Langousis, A. (2024). Leakages in water distribution networks: Estimation methods, influential factors, and mitigation strategies—A comprehensive review. Water, 16(11), 1534. https://doi.org/10.3390/w16111534
Shamir, U., & Howard, C. D. D. (1979). An analytic approach to scheduling pipe replacement. Journal of the American Water Works Association, 71(5), 248–258. https://doi.org/10.1002/j.1551-8833.1979.tb04345.x
Sheik, A. G., Kumar, A., Sharanya, A. G., Amabati, S. R., Bux, F., & Kumari, S. (2025). Machine learning-based monitoring and design of managed aquifer rechargers for sustainable groundwater management: Scope and challenges. Environmental Science and Pollution Research, 32, 31572–31605. https://doi.org/10.1007/s11356-024-35529-3
Shirzad, A., & Safari, M. J. S. (2019). Pipe failure rate prediction in water distribution networks using multivariate adaptive regression splines and random forest techniques. Urban Water Journal, 16(9), 653–661. https://doi.org/10.1080/1573062X.2020.1713384
Shirzad, S. M. R., & Safari, M. J. S. (2018). Statistical analysis of pipe breakage in urban water distribution systems (case study: Mahabad network). Water Science and Technology: Water Supply, 18(5), 1683–1694.
Singh, A., Yadav, S. S., Joshi, E., & Khambalkar, P. A. (2022). Sustainable groundwater management: addressing depletion through advanced technology and policy. Environmental Reports, 4(1), 1–8. https://doi.org/10.51470/er.2022.4.1.01
South Dakota Association of Rural Water Systems. (2019). Water system depreciation: A capital planning tool for the well-managed community.
St. Clair, A. M., & Sinha, S. (2012). State-of-the-technology review on water pipe condition, deterioration, and failure rate prediction models! Urban Water Journal, 9(2), 85–112. https://doi.org/10.1080/1573062X.2011.644566
Sterman, J. D. (2000). Business dynamics: Systems thinking and modeling for a complex world. Irwin McGraw-Hill.
Sterman, J. D. (2018). System dynamics at sixty: The path forward. System Dynamics Review, 34(1–2), 5–47. https://doi.org/10.1002/sdr.1601
ul Hasan, F., & Fatima, B. (2025). A review of drivers contributing to unsustainable groundwater consumption in Pakistan. Groundwater for Sustainable Development, 29, Article 101414. https://doi.org/10.1016/j.gsd.2025.101414
Walski, J. M., & Chase, D. V. (1982). Water distribution system operation: Pressure surges and transient analysis. Journal of the American Water Works Association, 74(10), 549–554.
Van Houtte, J. E., & Kirmeyer, R. J. (2002). State of technology for rehabilitation of water distribution systems. American Water Works Association Research Foundation (AwwaRF).
van Sambeek, J. M. V., & Berke, P. M. (2009). Infrastructure asset management and life-cycle assessment for public facilities. Journal of Infrastructure Systems, 15(3), 196–204.
van Zyl, J. E., & Clayton, C. R. I. (2007). The effect of pressure on leakage in water distribution systems. Proceedings of the Institution of Civil Engineers – Water Management, 160(2), 109–114. https://doi.org/10.1680/wama.2007.160.2.109
Weeraddana, D., Mallawa Arachchi, S., Warnakula, T., Li, Z., & Wang, Y. (2021). Long-term pipeline failure prediction using nonparametric survival analysis. In Y. Dong, D. Mladenić, & C. Saunders (Eds.), Machine learning and knowledge discovery in databases: Applied data science track: European Conference, ECML PKDD 2020, Ghent, Belgium, September 14–18, 2020, proceedings, Part IV (pp. 139–156). Springer. https://doi.org/10.1007/978-3-030-67667-4_9
Wei, T., Lou, I., Yang, Z., & Li, Y. (2016). A system dynamics urban water management model for Macau, China. Journal of Environmental Sciences, 50, 117–126. https://doi.org/10.1016/j.jes.2016.06.034
Wilson, D., Filion, Y., & Moore, I. (2017). State-of-the-art review of water pipe failure prediction models and applicability to large-diameter mains. Urban Water Journal, 14(2), 173–184. https://doi.org/10.1080/1573062X.2015.1080848
Winkler, D., Haltmeier, M., Kleidorfer, M., Rauch, W., & Tscheikner-Gratl, F. (2018). Pipe failure modelling for water distribution networks using boosted decision trees. Structure and Infrastructure Engineering, 14(10), 1402–1411. https://doi.org/10.1080/15732479.2018.1443145
Winz, I., Brierley, G., & Trowsdale, S. (2009). The use of system dynamics simulation in water resources management. Water Resources Management, 23(7), 1301–1323. https://doi.org/10.1007/s11269-008-9328-7
Vojinovic, Z., & Abbott, A. (2012). Flood risk and social justice: From quantification to communication. IWA Publishing.
Wolstenholme, E. F. (1999). Qualitative vs. quantitative modelling: The evolving balance. Journal of the Operational Research Society, 50(4), 422–428. https://doi.org/10.1057/palgrave.jors.2600700
Wong, T. H. F., & Brown, R. R. (2009). The water sensitive city: Principles for practice. Water Science and Technology, 60(3), 673–682. https://doi.org/10.2166/wst.2009.436
World Bank. (2021). Groundwater in Pakistan's Indus Basin: Present and future prospects. World Bank.
World Health Organization and United Nations Children's Fund. (2017). Progress on drinking water, sanitation and hygiene: Update and SDG baselines. WHO and UNICEF.
Wyatt, A. S. (2010). Non-revenue water: Financial model for optimal management in developing countries. RTI Press.
Xing, W., Zhang, C., Xia, Y., Wang, C., Fang, H., & Sang, X. (2025). Trenchless rehabilitation materials and technologies for water supply pipes: A comprehensive review. Process Safety and Environmental Protection, 203, 107896. https://doi.org/10.1016/j.psep.2025.107896
Xu, Z., Luan, Y., & Chen, X. (2020). Urban water supply system optimization and planning: Bi-objective optimization and system dynamics methods. Computers and Industrial Engineering, 142, Article 106373. https://doi.org/10.1016/j.cie.2020.106373
Younis, R. (2010). Development of wastewater collection network asset database, deterioration models and management framework (Ph.D. dissertation, Department of Civil and Environmental Engineering, University of Waterloo).
Zare, F., Elsawah, S., Bagheri, A., Nabavi, E., & Jakeman, A. J. (2019). Improved integrated water resource modelling by combining DPSIR and system dynamics conceptual modelling techniques. Journal of Environmental Management, 246, 27–41. https://doi.org/10.1016/j.jenvman.2019.05.033
Zarghami, M., & Akbariyeh, S. (2012). System dynamics modeling for complex urban water systems: Application to the city of Tabriz, Iran. Resources, Conservation and Recycling, 60, 99–106. https://doi.org/10.1016/j.resconrec.2011.11.008
Zuñiga-Uribe, M., Rojas-Galván, R., Álvarez-Alvarado, J. M., Aviles, M., Pérez-Soto, G. I., & Pérez-Moreno, V. (2026). Artificial intelligence in water distribution networks: A systematic review of models, input variables, databases, and output strategies for leak detection. Smart Cities, 9(3), 45. https://doi.org/10.3390/smartcities9030045