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Yuan Y, Ding J, Jin D, Li Y. Learning the complexity of urban mobility with deep generative network. PNAS NEXUS 2025; 4:pgaf081. [PMID: 40330108 PMCID: PMC12053254 DOI: 10.1093/pnasnexus/pgaf081] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 07/21/2024] [Accepted: 02/06/2025] [Indexed: 05/08/2025]
Abstract
City-scale individual movements, population flows, and urban morphology are intricately intertwined, collectively contributing to the complexity of urban mobility and impacting critical aspects of a city, from socioeconomic exchanges to epidemic transmission. Existing models, derived from fundamental laws of human mobility, often capture only partial facets of this complexity. This article introduces DeepMobility, a powerful deep generative collaboration network designed to encapsulate the multifaceted nature of complex urban mobility within one unified model, bridging the gap between the heterogeneous behaviors of individuals and the collective behaviors emerging from the entire population. As the first generative deep learning model to integrate micro- and macrolevel dynamics through bidirectional collaboration, DeepMobility generates high-fidelity synthetic mobility data, overcoming key limitations of prior approaches. Our experiments, conducted on mobility trajectories and flows in cities of China and Senegal, reveal that unlike state-of-the-art deep learning models that tend to "memorize" observed data, DeepMobility excels in learning the intricate data distribution and successfully reproduces the existing universal scaling laws that characterize human mobility behaviors at both individual and population levels. DeepMobility also exhibits robust generalization capabilities, enabling it to generate realistic trajectories and flows for cities lacking corresponding training data. Our approach underscores the feasibility of employing generative deep learning to model the underlying mechanism of human mobility and establishes a versatile framework for mobility data generation that supports sustainable and livable cities.
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Affiliation(s)
- Yuan Yuan
- Beijing National Research Center for Information Science and Technology (BNRist), Department of Electronic Engineering, Tsinghua University, Beijing 100084, P. R. China
| | - Jingtao Ding
- Beijing National Research Center for Information Science and Technology (BNRist), Department of Electronic Engineering, Tsinghua University, Beijing 100084, P. R. China
| | - Depeng Jin
- Beijing National Research Center for Information Science and Technology (BNRist), Department of Electronic Engineering, Tsinghua University, Beijing 100084, P. R. China
| | - Yong Li
- Beijing National Research Center for Information Science and Technology (BNRist), Department of Electronic Engineering, Tsinghua University, Beijing 100084, P. R. China
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2
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Bontorin S, Centellegher S, Gallotti R, Pappalardo L, Lepri B, Luca M. Mixing individual and collective behaviors to predict out-of-routine mobility. Proc Natl Acad Sci U S A 2025; 122:e2414848122. [PMID: 40267135 PMCID: PMC12054799 DOI: 10.1073/pnas.2414848122] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/24/2024] [Accepted: 03/19/2025] [Indexed: 04/25/2025] Open
Abstract
Predicting human displacements is crucial for addressing various societal challenges, including urban design, traffic congestion, epidemic management, and migration dynamics. While predictive models like deep learning and Markov models offer insights into individual mobility, they often struggle with out-of-routine behaviors. Our study introduces an approach that dynamically integrates individual and collective mobility behaviors, leveraging collective intelligence to enhance prediction accuracy. Evaluating the model on millions of privacy-preserving trajectories across five US cities, we demonstrate its superior performance in predicting out-of-routine mobility, surpassing even advanced deep learning methods. The spatial analysis highlights the model's effectiveness near urban areas with a high density of points of interest, where collective behaviors strongly influence mobility. During disruptive events like the COVID-19 pandemic, our model retains predictive capabilities, unlike individual-based models. By bridging the gap between individual and collective behaviors, our approach offers transparent and accurate predictions, which are crucial for addressing contemporary mobility challenges.
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Affiliation(s)
- Sebastiano Bontorin
- Mobile and Social Computing Lab, Bruno Kessler Foundation, Povo38123, TN, Italy
- Department of Physics, University of Trento, Povo38123, TN, Italy
| | - Simone Centellegher
- Mobile and Social Computing Lab, Bruno Kessler Foundation, Povo38123, TN, Italy
| | - Riccardo Gallotti
- Complex Human Behavior Lab, Bruno Kessler Foundation, Povo38123, TN, Italy
| | - Luca Pappalardo
- Istituto di Scienza e Tecnologie dell’Informazione-National Research Council, Pisa56127, PI, Italy
- Scuola Normale Superiore of Pisa, Pisa56126, PI, Italy
| | - Bruno Lepri
- Mobile and Social Computing Lab, Bruno Kessler Foundation, Povo38123, TN, Italy
| | - Massimiliano Luca
- Mobile and Social Computing Lab, Bruno Kessler Foundation, Povo38123, TN, Italy
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3
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Tan X, Huang B, Batty M, Li W, Wang QR, Zhou Y, Gong P. The spatiotemporal scaling laws of urban population dynamics. Nat Commun 2025; 16:2881. [PMID: 40128280 PMCID: PMC11933343 DOI: 10.1038/s41467-025-58286-4] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/10/2024] [Accepted: 03/17/2025] [Indexed: 03/26/2025] Open
Abstract
Human mobility is becoming increasingly complex in urban environments. However, our fundamental understanding of urban population dynamics, particularly the pulsating fluctuations occurring across different locations and timescales, remains limited. Here, we use mobile device data from large cities and regions worldwide combined with a detrended fractal analysis to uncover a universal spatiotemporal scaling law that governs urban population fluctuations. This law reveals the scale invariance of these fluctuations, spanning from city centers to peripheries over both time and space. Moreover, we show that at any given location, fluctuations obey a time-based scaling law characterized by a spatially decaying exponent, which quantifies their relationship with urban structure. These interconnected discoveries culminate in a robust allometric equation that links population dynamics with urban densities, providing a powerful framework for predicting and managing the complexities of urban human activities. Collectively, this study paves the way for more effective urban planning, transportation strategies, and policies grounded in population dynamics, thereby fostering the development of resilient and sustainable cities.
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Affiliation(s)
- Xingye Tan
- Department of Geography, The University of Hong Kong, Hong Kong SAR, China
| | - Bo Huang
- Department of Geography, The University of Hong Kong, Hong Kong SAR, China.
- Computational Social Science Laboratory, Faculty of Social Science, The University of Hong Kong, Hong Kong SAR, China.
- Urban Systems Institute, The University of Hong Kong, Hong Kong SAR, China.
- Department of Urban Planning and Design, The University of Hong Kong, Hong Kong SAR, China.
| | - Michael Batty
- The Bartlett Centre for Advanced Spatial Analysis, University College London, London, UK
| | - Weiyu Li
- School of Mathematical Sciences, Suzhou University of Science and Technology, Suzhou, China
| | - Qi Ryan Wang
- Department of Civil and Environmental Engineering, Northeastern University, Boston, MA, USA
| | - Yulun Zhou
- Department of Urban Planning and Design, The University of Hong Kong, Hong Kong SAR, China
| | - Peng Gong
- Department of Geography, The University of Hong Kong, Hong Kong SAR, China
- Urban Systems Institute, The University of Hong Kong, Hong Kong SAR, China
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4
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Aiello LM, Vybornova A, Juhász S, Szell M, Bokányi E. Urban highways are barriers to social ties. Proc Natl Acad Sci U S A 2025; 122:e2408937122. [PMID: 40035764 PMCID: PMC11912457 DOI: 10.1073/pnas.2408937122] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 05/07/2024] [Accepted: 01/23/2025] [Indexed: 03/06/2025] Open
Abstract
Urban highways are common, especially in the United States, making cities more car-centric. They promise the annihilation of distance but obstruct pedestrian mobility, thus playing a key role in limiting social interactions locally. Although this limiting role is widely acknowledged in urban studies, the quantitative relationship between urban highways and social ties is barely tested. Here, we define a Barrier Score that relates massive, geolocated online social network data to highways in the 50 largest US cities. At the granularity of individual social ties, we show that urban highways are associated with decreased social connectivity. This barrier effect is especially strong for short distances and consistent with historical cases of highways that were built to purposefully disrupt or isolate Black neighborhoods. By combining spatial infrastructure with social tie data, our method adds a dimension to demographic studies of social segregation. Our study can inform reparative planning for an evidence-based reduction of spatial inequality, and more generally, support a better integration of the social fabric in urban planning.
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Affiliation(s)
- Luca Maria Aiello
- Department of Computer Science, IT University of Copenhagen, Copenhagen2300, Denmark
- Pioneer Centre for AI, Networks and Graphs Collaboratory, Copenhagen1350, Denmark
| | - Anastassia Vybornova
- Department of Computer Science, IT University of Copenhagen, Copenhagen2300, Denmark
| | - Sándor Juhász
- Complexity Science Hub, Vienna1080, Austria
- Institute of Data Analytics & Information Systems and Corvinus Institute for Advanced Studies Corvinus University of Budapest, Budapest1093, Hungary
- Institute of Economics, Centre for Economic and Regional Studies, Hungarian Research Network, Budapest1097, Hungary
| | - Michael Szell
- Department of Computer Science, IT University of Copenhagen, Copenhagen2300, Denmark
- Pioneer Centre for AI, Networks and Graphs Collaboratory, Copenhagen1350, Denmark
- Complexity Science Hub, Vienna1080, Austria
- ISI Foundation, Turin10126, Italy
| | - Eszter Bokányi
- Institute of Logic, Language, and Computation, University of Amsterdam, Amsterdam1018WV, The Netherlands
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Pullano G, Alvarez-Zuzek LG, Colizza V, Bansal S. Characterizing US Spatial Connectivity and Implications for Geographical Disease Dynamics and Metapopulation Modeling: Longitudinal Observational Study. JMIR Public Health Surveill 2025; 11:e64914. [PMID: 39965190 PMCID: PMC11856803 DOI: 10.2196/64914] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Grants] [Track Full Text] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/30/2024] [Revised: 12/09/2024] [Accepted: 12/25/2024] [Indexed: 02/20/2025] Open
Abstract
Background Human mobility is expected to be a critical factor in the geographic diffusion of infectious diseases, and this assumption led to the implementation of social distancing policies during the early fight against the COVID-19 emergency in the United States. Yet, because of substantial data gaps in the past, what still eludes our understanding are the following questions: (1) How does mobility contribute to the spread of infection within the United States at local, regional, and national scales? (2) How do seasonality and shifts in behavior affect mobility over time? (3) At what geographic level is mobility homogeneous across the United States? Objective This study aimed to address the questions that are critical for developing accurate transmission models, predicting the spatial propagation of disease across scales, and understanding the optimal geographical and temporal scale for the implementation of control policies. Methods We analyzed high-resolution mobility data from mobile app usage from SafeGraph Inc, mapping daily connectivity between the US counties to grasp spatial clustering and temporal stability. Integrating this into a spatially explicit transmission model, we replicated SARS-CoV-2's first wave invasion, assessing mobility's spatiotemporal impact on disease predictions. Results Analysis from 2019 to 2021 showed that mobility patterns remained stable, except for a decline in April 2020 due to lockdowns, which reduced daily movements from 45 million to approximately 25 million nationwide. Despite this reduction, intercounty connectivity remained seasonally stable, largely unaffected during the early COVID-19 phase, with a median Spearman coefficient of 0.62 (SD 0.01) between daily connectivity and gravity networks., We identified 104 geographic clusters of US counties with strong internal mobility connectivity and weaker links to counties outside these clusters. These clusters were stable over time, largely overlapping state boundaries (normalized mutual information=0.82) and demonstrating high temporal stability (normalized mutual information=0.95). Our findings suggest that intercounty connectivity is relatively static and homogeneous at the substate level. Furthermore, while county-level, daily mobility data best captures disease invasion, static mobility data aggregated to the cluster level also effectively models spatial diffusion. Conclusions Our work demonstrates that intercounty mobility was negligibly affected outside the lockdown period in April 2020, explaining the broad spatial distribution of COVID-19 outbreaks in the United States during the early phase of the pandemic. Such geographically dispersed outbreaks place a significant strain on national public health resources and necessitate complex metapopulation modeling approaches for predicting disease dynamics and control design. We thus inform the design of such metapopulation models to balance high disease predictability with low data requirements.
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Affiliation(s)
- Giulia Pullano
- Department of Biology, Georgetown University, 37th and O Streets NW, Washington, DC, 20057-1229, United States, 1 202 687 9256
| | | | - Vittoria Colizza
- Sorbonne Université, INSERM, Institut Pierre Louis d’Epidémiologie et de Santé Publique (IPLESP), Paris, France
| | - Shweta Bansal
- Department of Biology, Georgetown University, 37th and O Streets NW, Washington, DC, 20057-1229, United States, 1 202 687 9256
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6
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Martínez-González JU, P. Riascos A, Mateos JL. Pattern detection in the vehicular activity of bus rapid transit systems. PLoS One 2024; 19:e0312541. [PMID: 39471165 PMCID: PMC11521300 DOI: 10.1371/journal.pone.0312541] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/06/2024] [Accepted: 10/09/2024] [Indexed: 11/01/2024] Open
Abstract
In this paper, we explore different methods to detect patterns in the activity of bus rapid transit (BRT) systems focusing on two aspects of transit: infrastructure and the movement of vehicles. To this end, we analyze records of velocity and position of each active vehicle in nine BRT systems located in the Americas. We detect collective patterns that characterize each BRT system obtained from the statistical analysis of velocities in the entire system (global scale) and at specific zones (local scale). We analyze the velocity records at the local scale applying the Kullback-Leibler divergence to compare the vehicular activity between zones. This information is organized in a similarity matrix that can be represented as a network of zones. The resulting structure for each system is analyzed using network science methods. In particular, by implementing community detection algorithms on networks, we obtain different groups of zones characterized by similarities in the movement of vehicles. Our findings show that the representation of the dataset with information of vehicles as a network is a useful tool to characterize at different scales the activity of BRT systems when geolocalized records of vehicular movement are available. This general approach can be implemented in the analysis of other public transportation systems.
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Affiliation(s)
- Jaspe U. Martínez-González
- Instituto de Física, Universidad Nacional Autónoma de México, Ciudad Universitaria, Ciudad de México, México
| | | | - José L. Mateos
- Instituto de Física, Universidad Nacional Autónoma de México, Ciudad Universitaria, Ciudad de México, México
- Centro de Ciencias de la Complejidad, Universidad Nacional Autónoma de México, Ciudad de México, México
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7
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He C, Wu Y, Zhou X, Huang Y, Shui A, Liu S. The heterogeneous impact of population mobility on the influent characteristics of wastewater treatment facilities. JOURNAL OF ENVIRONMENTAL MANAGEMENT 2024; 366:121672. [PMID: 38991349 DOI: 10.1016/j.jenvman.2024.121672] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Received: 03/17/2024] [Revised: 06/17/2024] [Accepted: 06/30/2024] [Indexed: 07/13/2024]
Abstract
Improving the resilience of wastewater treatment facilities (WWTFs) has never been more important with rising risks of disasters under climate change. Beyond physical damages, non-physical shocks induced by disasters warrant attention. Human mobility is a vital mediator in transferring the stresses from extreme events into tangible challenges for urban sewage systems by reshaping influent characteristics. However, the impact path remains inadequately explored. Leveraging the stay-at-home orders during the COVID-19 pandemic as a natural experiment, this study aims to quantify and interpret the heterogeneous impacts of mobility reduction on the influent characteristics of WWTFs with different socio-economic, infrastructural, and climatic conditions. To achieve this goal, we developed a research framework integrating causal inference and interpretable machine learning techniques. Based on the empirical data from China, we find that 79.1% of the studied WWTFs, typically located in cities with well-developed drainage infrastructures and low per capita water usage, exhibited resilience against drastic mobility reduction. In contrast, 20.9% of the studied WWTFs displayed significant variations in influent characteristics. Large-capacity WWTFs in subtropical regions encountered challenges with low-load operations, and small-capacity facilities in suburban areas grappled with nutrient imbalances. This study provides valuable insights to equip WWTFs in anticipating and adapting potential variations in influent characteristics triggered by mobility reduction.
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Affiliation(s)
- Chengyu He
- School of Environment, Tsinghua University, 100084, Beijing, China
| | - Yipeng Wu
- School of Environment, Tsinghua University, 100084, Beijing, China
| | - Xiao Zhou
- Hefei University of Technology, School of Civil and Hydraulic Engineering, 230009, Hefei, China
| | - Yujun Huang
- School of Environment, Tsinghua University, 100084, Beijing, China
| | - Ailun Shui
- School of Environment, Tsinghua University, 100084, Beijing, China
| | - Shuming Liu
- School of Environment, Tsinghua University, 100084, Beijing, China.
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8
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Yabe T, Luca M, Tsubouchi K, Lepri B, Gonzalez MC, Moro E. Enhancing human mobility research with open and standardized datasets. NATURE COMPUTATIONAL SCIENCE 2024; 4:469-472. [PMID: 38956383 DOI: 10.1038/s43588-024-00650-3] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [MESH Headings] [Track Full Text] [Subscribe] [Scholar Register] [Indexed: 07/04/2024]
Affiliation(s)
- Takahiro Yabe
- Center for Urban Science and Progress and Department of Technology Management and Innovation, Tandon School of Engineering, New York University, Brooklyn, NY, USA.
- Center for Spatial Information Science, University of Tokyo, Kashiwa, Chiba, Japan.
| | - Massimiliano Luca
- Mobile and Social Computing Lab, Fondazione Bruno Kessler, Trento, Italy
- Instituto de Fisica Interdisciplinar y Sistemas Complejos IFISC (CSIC-UIB), Palma de Mallorca, Spain
| | | | - Bruno Lepri
- Mobile and Social Computing Lab, Fondazione Bruno Kessler, Trento, Italy
| | - Marta C Gonzalez
- Department of Civil and Environmental Engineering and Department of City and Regional Planning, University of California, Berkeley, Berkeley, CA, USA
| | - Esteban Moro
- Network Science Institute and Department of Physics, Northeastern University, Boston, MA, USA
- Media Lab, Massachusetts Institute of Technology, Cambridge, MA, USA
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9
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Barreras F, Watts DJ. The exciting potential and daunting challenge of using GPS human-mobility data for epidemic modeling. NATURE COMPUTATIONAL SCIENCE 2024; 4:398-411. [PMID: 38898315 DOI: 10.1038/s43588-024-00637-0] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 09/14/2023] [Accepted: 05/02/2024] [Indexed: 06/21/2024]
Abstract
Large-scale GPS location datasets hold immense potential for measuring human mobility and interpersonal contact, both of which are essential for data-driven epidemiology. However, despite their potential and widespread adoption during the COVID-19 pandemic, there are several challenges with these data that raise concerns regarding the validity and robustness of its applications. Here we outline two types of challenges-some related to accessing and processing these data, and some related to data quality-and propose several research directions to address them moving forward.
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Affiliation(s)
- Francisco Barreras
- Department of Computer and Information Science, University of Pennsylvania, Philadelphia, PA, USA.
| | - Duncan J Watts
- Department of Computer and Information Science, University of Pennsylvania, Philadelphia, PA, USA.
- Operations, Information and Decisions Department, Wharton School, University of Pennsylvania, Philadelphia, PA, USA.
- Annenberg School of Communication, University of Pennsylvania, Philadelphia, PA, USA.
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10
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Vanni F, Lambert D. On an Aggregated Estimate for Human Mobility Regularities through Movement Trends and Population Density. ENTROPY (BASEL, SWITZERLAND) 2024; 26:398. [PMID: 38785646 PMCID: PMC11119206 DOI: 10.3390/e26050398] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 04/02/2024] [Revised: 04/28/2024] [Accepted: 04/29/2024] [Indexed: 05/25/2024]
Abstract
This article introduces an analytical framework that interprets individual measures of entropy-based mobility derived from mobile phone data. We explore and analyze two widely recognized entropy metrics: random entropy and uncorrelated Shannon entropy. These metrics are estimated through collective variables of human mobility, including movement trends and population density. By employing a collisional model, we establish statistical relationships between entropy measures and mobility variables. Furthermore, our research addresses three primary objectives: firstly, validating the model; secondly, exploring correlations between aggregated mobility and entropy measures in comparison to five economic indicators; and finally, demonstrating the utility of entropy measures. Specifically, we provide an effective population density estimate that offers a more realistic understanding of social interactions. This estimation takes into account both movement regularities and intensity, utilizing real-time data analysis conducted during the peak period of the COVID-19 pandemic.
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Affiliation(s)
- Fabio Vanni
- Department of Economics, University of Insubria, 21100 Varese, Italy
- Université Côte d’Azur, CNRS, GREDEG, 06103 Nice-Sophia Antipolis, France
| | - David Lambert
- Department of Physics, University of North Texas, Denton, TX 76205, USA;
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11
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Batty M. Digital twins in city planning. NATURE COMPUTATIONAL SCIENCE 2024; 4:192-199. [PMID: 38532132 DOI: 10.1038/s43588-024-00606-7] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 08/07/2023] [Accepted: 02/09/2024] [Indexed: 03/28/2024]
Abstract
Here, I provide a perspective on digital twins of cities that cover a wide array of different types, ranging from aggregate economic and behavioral processes to more disaggregate agent-based, cellular and micro-simulations. A key element in these applications is the way that we as scientists, policymakers and planners interact with real cities with respect to their understanding, prediction and design. I note a range of spatial models, from analytical simulations of local neighborhoods to large-scale systems of cities and city systems, and briefly describe computational challenges that geospatial applications in cities pose.
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Affiliation(s)
- Michael Batty
- Centre for Advanced Spatial Analysis, University College London, London, UK.
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