The DOI matches its Crossref record; 89 of the 90 references it cites were found in a registry or an index.
The scales of human mobility
Open accessAbstract
There is a contradiction at the heart of our current understanding of individual and collective mobility patterns. On the one hand, a highly influential body of literature on human mobility driven by analyses of massive empirical datasets finds that human movements show no evidence of characteristic spatial scales. There, human mobility is described as scale free 1-3. On the other hand, geographically, the concept of scale-referring to meaningful levels of description from individual buildings to neighbourhoods, cities, regions and countries-is central for the description of various aspects of human behaviour, such as socioeconomic interactions, or political and cultural dynamics 4,5. Here we resolve this apparent paradox by showing that day-to-day human mobility does indeed contain meaningful scales, corresponding to spatial 'containers' that restrict mobility behaviour. The scale-free results arise from aggregating displacements across containers. We present a simple model-which given a person's trajectory-infers their neighbourhood, city and so on, as well as the sizes of these geographical containers. We find that the containers-characterizing the trajectories of more than 700,000 individuals-do indeed have typical sizes. We show that our model is also able to generate highly realistic trajectories and provides a way to understand the differences in mobility behaviour across countries, gender groups and urban-rural areas.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
The cited source says what the claim attributes to it.
In the citing paper
“Still, human mobility is known to follow certain universal principles, such as scaling laws of mobility (Alessandretti et al. 2020;Pappalardo et al. 2016;Song et al. 2010b), which suggests that our findings may reflect more general behavioral regularities.”
From Visitation patterns across mobility groups: wandering, commuting, and exploring (2026) · cites this paper as Alessandretti et al. 2020
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
Power-Law Distributions in Empirical Data
Clauset, A., Shalizi, C. R., & Newman, M. E. J. (2009) · SIAM Review · doi:10.1137/070710111 · Cited by 8,019
Power-law distributions in empirical data
Clauset, A. J., Shalizi, C. R., & Newman, M. E. J. (2018) · Figshare · doi:10.1184/r1/6586835.v1 · Cited by 6,710
Understanding individual human mobility patterns
González, M. C., Hidalgo, C. A., & Barabási, A.-Ĺ. (2008) · Nature · doi:10.1038/nature06958 · Cited by 6,186
Newman (2005) · doi:10.1080/00107510500052444 · Cited by 5,749
Location and Land Use: Toward a General Theory of Land Rent
Alonso, W. (1964) · Cited by 3,820
Alonso, W. (1964) · Harvard University Press eBooks · doi:10.4159/harvard.9780674730854 · Cited by 3,673
Limits of Predictability in Human Mobility
Song, C., Qu, Z., Blumm, N., & Barabási, A.-L. (2010) · Science · doi:10.1126/science.1177170 · Cited by 3,234
The effect of human mobility and control measures on the COVID-19 epidemic in China
Kraemer, M. U. G., Yang, C.-H., Gutiérrez, B., Wu, C., Klein, B., Pigott, D. M., open COVID-19 data working group, du Plessis, L., Faria, N. R., Li, R., et al. (2020) · Science · doi:10.1126/science.abb4218 · Cited by 2,987
On the Move: Mobility in the Modern Western World
Cresswell, T. (2006) · Cited by 2,468
The scaling laws of human travel
Brockmann, D., Hufnagel, L., & Geisel, T. (2006) · Nature · doi:10.1038/nature04292 · Cited by 2,182
The social construction of scale
Marston, S. A. (2000) · Progress in Human Geography · doi:10.1191/030913200674086272 · Cited by 1,907
Modelling the scaling properties of human mobility
Song, C., Koren, T., Wang, P., & Barabási, A.-Ĺ. (2010) · Nature Physics · doi:10.1038/nphys1760 · Cited by 1,268
A global map of travel time to cities to assess inequalities in accessibility in 2015
Weiss, D. J., Nelson, A., Gibson, H. S., Temperley, W. H., Peedell, S., Lieber, A., Hancher, M., Poyart, E., Belchior, S., Fullman, N., et al. (2018) · Nature · doi:10.1038/nature25181 · Cited by 1,244
Human mobility: Models and applications
Barbosa, H., Barthélemy, M., Ghoshal, G., James, C. R., Lenormand, M., Louail, T., de Menezes, R. P., Ramasco, J. J., Simini, F., & Tomasini, M. (2018) · Physics Reports · doi:10.1016/j.physrep.2018.01.001 · Cited by 1,104
Large-scale physical activity data reveal worldwide activity inequality
Althoff, T., Sosič, R., Hicks, J. L., King, A. C., Delp, S. L., & Leskovec, J. (2017) · Nature · doi:10.1038/nature23018 · Cited by 1,000
The complex network of global cargo ship movements
Kaluza, P., Kölzsch, A., Gastner, M. T., & Blasius, B. (2010) · Journal of The Royal Society Interface · doi:10.1098/rsif.2009.0495 · Cited by 992
Tobler's First Law and Spatial Analysis
Miller, H. (2004) · Annals of the Association of American Geographers · doi:10.1111/j.1467-8306.2004.09402005.x · Cited by 920
Jan Eeckhout, Y. (2004) · American Economic Review · doi:10.1257/0002828043052303 · Cited by 788
Evidence of hierarchies in cognitive maps
Hirtle, S. C., & Jonides, J. (1985) · Memory & Cognition · doi:10.3758/bf03197683 · Cited by 655
Der isolierte Staat in Beziehung auf Landwirtschaft und Nationalökonomie
von Thünen, J. H. (1990) · De Gruyter eBooks · doi:10.1515/9783112646342 · Cited by 644
A Tale of Many Cities: Universal Patterns in Human Urban Mobility
Noulas, A., Scellato, S., Lambiotte, R., Pontil, M., & Cecilia Mascolo, C. (2012) · PLoS ONE · doi:10.1371/journal.pone.0037027 · Cited by 628
Predictability of population displacement after the 2010 Haiti earthquake
Lu, X. B., Bengtsson, L., & Holme, P. (2012) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.1203882109 · Cited by 607
A New Set of Spatial-Interaction Models: The Theory of Competing Destinations
Fotheringham, A. S. (1983) · Environment and Planning A Economy and Space · doi:10.1177/0308518x8301500103 · Cited by 516
Returners and explorers dichotomy in human mobility
Pappalardo, L., Simini, F., Rinzivillo, S., Pedreschi, D., Giannotti, F., & Barabási, A.-L. (2015) · Nature Communications · doi:10.1038/ncomms9166 · Cited by 494
Gaddum, J. H. (1945) · Nature · doi:10.1038/156463a0 · Cited by 439
Walk Score™ As a Global Estimate of Neighborhood Walkability
Carr, L. J., DUNSIGER, S. I., & Marcus, B. H. (2010) · American Journal of Preventive Medicine · doi:10.1016/j.amepre.2010.07.007 · Cited by 432
Litman, T. A. (2003) · Transportation Research Record Journal of the Transportation Research Board · doi:10.3141/1828-01 · Cited by 421
Literature review on surveys investigating the acceptance of automated vehicles
Becker, F., & Axhausen, K. W. (2017) · Transportation · doi:10.1007/s11116-017-9808-9 · Cited by 418
Measuring Large-Scale Social Networks with High Resolution
Stopczynski, A., Sekara, V., Sapieżyński, P., Cuttone, A., Madsen, M. M., Larsen, J. E., & Lehmann, S. (2014) · PLoS ONE · doi:10.1371/journal.pone.0095978 · Cited by 411
Self-citationAnthropological invariants in travel behavior
Marchetti, C. (1994) · Technological Forecasting and Social Change · doi:10.1016/0040-1625(94)90041-8 · Cited by 384
Geography of Market Centers and Retail Distribution
Morgan, M. A., & Berry, B. J. L. (1968) · Geographical Journal · doi:10.2307/1792211 · Cited by 364
Comparison of hierarchical cluster analysis methods by cophenetic correlation
Saraçlı, S., DOĞAN, N., & DOĞAN, İ. (2013) · Journal of Inequalities and Applications · doi:10.1186/1029-242x-2013-203 · Cited by 363
Place and region: looking through the prism of scale
Paasi, A. (2004) · Progress in Human Geography · doi:10.1191/0309132504ph502pr · Cited by 358
Transport poverty meets the digital divide: accessibility and connectivity in rural communities
Velaga, N. R., Beecroft, M., Nelson, J. D., Corsar, D., & Edwards, P. J. (2012) · Journal of Transport Geography · doi:10.1016/j.jtrangeo.2011.12.005 · Cited by 356
The Compact City and Transport Energy Consumption
Breheny, M. J. (1995) · Transactions of the Institute of British Geographers · doi:10.2307/622726 · Cited by 348
The effect of human mobility and control measures on the COVID-19 epidemic in ChinaPreprint
Kraemer, M. U. G., Yang, C.-H., Gutiérrez, B., et al. (2020) · medRxiv · doi:10.1101/2020.03.02.20026708 · Cited by 343
Geography of market centers and retail distribution
Berry, B. J. L. (1967) · Medical Entomology and Zoology · Cited by 336
Mapping poverty using mobile phone and satellite data
Steele, J. E., Sundsøy, P., Pezzulo, C., Alegana, V. A., Bird, T. J., Blumenstock, J. E., Bjelland, J., Engø‐Monsen, K., de Montjoye, Y.-A., Iqbal, A. M., et al. (2017) · Journal of The Royal Society Interface · doi:10.1098/rsif.2016.0690 · Cited by 329
Fundamental structures of dynamic social networks
Sekara, V., Stopczynski, A., & Lehmann, S. (2016) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.1602803113 · Cited by 315
Self-citationThe TimeGeo modeling framework for urban mobility without travel surveys
Jiang, S., Yang, Y., Gupta, S., Veneziano, D., Athavale, S. M., & González, M. C. (2016) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.1524261113 · Cited by 285
Hierarchy in Natural and Social Sciences
Pumain, D. (2006) · Springer eBooks · doi:10.1007/1-4020-4127-6 · Cited by 268
Martino, P., Ehrlich, D., Stefano, F., Aneta, F., Freire, S., Stamatia, H., Maria, J. A., Thomas, K., Soille, P., & Syrris, V. (2016) · Joint Research Centre (European Commission) · doi:10.2788/656115 · Cited by 220
Gauvin, L., Tizzoni, M., Piaggesi, S., Young, A. J., Adler, N., Verhulst, S., Ferres, L., & Cattuto, C. (2020) · Humanities and Social Sciences Communications · doi:10.1057/s41599-020-0500-x · Cited by 216
Prediction of human emergency behavior and their mobility following large-scale disaster
Song, X., Zhang, Q., Sekimoto, Y., & Shibasaki, R. (2014) · ACM SIGKDD Conference on Knowledge Discovery and Data Mining (KDD) · doi:10.1145/2623330.2623628 · Cited by 183
Helftenbem, E. (1985) · Nucleic Acids Research · doi:10.1093/nar/13.2.415 · Cited by 173
The Structure of Borders in a Small World
Thiemann, C., Theis, F. J., Grady, D., Brune, R. L., & Brockmann, D. (2010) · PLoS ONE · doi:10.1371/journal.pone.0015422 · Cited by 172
Migration and Residential Mobility: Macro and Micro Approaches
Plane, D. A., & Cadwallader, M. (1995) · Economic Geography · doi:10.2307/144366 · Cited by 168
Christaller, W. (1933) · Wissenschaftliche Buchgesellschaft eBooks · Cited by 165
Unraveling the origin of exponential law in intra-urban human mobility
Liang, X., Zhao, J., Dong, L., & Xu, K. (2013) · Scientific Reports · doi:10.1038/srep02983 · Cited by 165
Everitt, B. J., Landau, S., Leese, M., & Stahl, D. R. (2011) · Wiley series in probability and statistics · doi:10.1002/9780470977811.ch4 · Cited by 156
Explaining the power-law distribution of human mobility through transportationmodality decomposition
Zhao, K., Musolesi, M., Hui, P., Rao, W., & Tarkoma, S. (2015) · Scientific Reports · doi:10.1038/srep09136 · Cited by 154
Mapping global variation in human mobility
Kraemer, M. U. G., Sadilek, A., Zhang, Q., Marchal, N., Tuli, G., Cohn, E. L., Hswen, Y., Perkins, T. A., Smith, D. L., Reiner, R. C., et al. (2020) · Nature Human Behaviour · doi:10.1038/s41562-020-0875-0 · Cited by 137
The impact of social segregation on human mobility in developing and industrialized regions
Amini, A., Kung, K. S., Kang, C., Sobolevsky, S. L., & Ratti, C. (2014) · EPJ Data Science · doi:10.1140/epjds31 · Cited by 131
Data-driven generation of spatio-temporal routines in human mobility
Pappalardo, L., & Simini, F. (2017) · Data Mining and Knowledge Discovery · doi:10.1007/s10618-017-0548-4 · Cited by 130
Cities and regions in Britain through hierarchical percolation
Arcaute, E., Molinero, C., Hatna, E., Murcio, R., Vargas-Ruiz, C., Masucci, A. P., & Batty, M. (2016) · Royal Society Open Science · doi:10.1098/rsos.150691 · Cited by 126
Stability of Travel Components Over Time
Zahavi, Y., & Ryan, J. M. (1980) · Transportation Research Record Journal of the Transportation Research Board · Cited by 124
Measuring Key Disparities in Human Development: The Gender Inequality IndexPreprint
Gaye, A., Klugman, J., Kovacevic, M. S., Twigg, S., & Zambrano, E. (2010) · RePEc: Research Papers in Economics · Cited by 117
Understanding mobility in a social petri dish
Szell, M., Sinatra, R., Petri, G., Stefan Thurner, A., & Latora, V. (2012) · Scientific Reports · doi:10.1038/srep00457 · Cited by 116
A stochastic model of randomly accelerated walkers for human mobility
Gallotti, R., Bazzani, A., Rambaldi, S., & Barthélemy, M. (2016) · Nature Communications · doi:10.1038/ncomms12600 · Cited by 114
Correction: A Tale of Many Cities: Universal Patterns in Human Urban Mobility
Noulas, A., Scellato, S., Lambiotte, R., Pontil, M., & Cecilia Mascolo, C. (2012) · PLoS ONE · doi:10.1371/annotation/ca85bf7a-7922-47d5-8bfb-bcdf25af8c72 · Cited by 112
Der isolierte Staat in Beziehung auf Landwirtschaft und Nationalökonomie
von Thünen, J. H. (1910) · G. Fischer eBooks · doi:10.5962/bhl.title.28726 · Cited by 110
Lévy flights in human behavior and cognition
Baronchelli, A., & Radicchi, F. (2013) · Chaos Solitons & Fractals · doi:10.1016/j.chaos.2013.07.013 · Cited by 108
Hierarchy in Cities and City Systems
Batty, M. (2006) · Springer eBooks · doi:10.1007/1-4020-4127-6_7 · Cited by 94
Origin of the scaling law in human mobility: Hierarchy of traffic systems
Han, X.-P., Hao, Q., Wang, B.-H., & Zhou, T. (2011) · Physical Review E · doi:10.1103/physreve.83.036117 · Cited by 87
Broad distribution effects in sums of lognormal random variables
Romeo, M., Costa, V. D., & Bardou, F. (2003) · The European Physical Journal B · doi:10.1140/epjb/e2003-00131-6 · Cited by 87
Multi-scale spatio-temporal analysis of human mobility
Alessandretti, L., Sapieżyński, P., Lehmann, S., & Baronchelli, A. (2017) · PLoS ONE · doi:10.1371/journal.pone.0171686 · Cited by 87
Self-citationCities and regions in Britain through hierarchical percolation
Arcaute, E., Molinero, C., Hatna, E., Murcio, R., Vargas-Ruiz, C., Masucci, P., & Batty, M. (2016) · UCL Discovery (University College London) · Cited by 80
Lu, X. B., Wrathall, D. J., Sundsøy, P., Nadiruzzaman, M., Wetter, E. W., Iqbal, A., Qureshi, T., Tatem, A. J., Canright, G., Engø‐Monsen, K., et al. (2016) · Climatic Change · doi:10.1007/s10584-016-1753-7 · Cited by 79
Alternative Explanations of Hierarchical Differentiation in Urban Systems
Pumain, D. (2006) · Springer eBooks · doi:10.1007/1-4020-4127-6_8 · Cited by 77
Murtagh, F. D. (2011) · International Encyclopedia of Statistical Science · doi:10.1007/978-3-642-04898-2_288 · Cited by 74
Human Mobility Modelling: Exploration and Preferential Return Meet the Gravity Model
Pappalardo, L., Rinzivillo, S., & Simini, F. (2016) · Procedia Computer Science · doi:10.1016/j.procs.2016.04.188 · Cited by 71
The effect of recency to human mobility
Barbosa, H., Neto, F. B. D. L., Evsukoff, A. G., & Menezes, R. (2015) · EPJ Data Science · doi:10.1140/epjds/s13688-015-0059-8 · Cited by 68
Broad distribution effects in sums of lognormal random variables
Romeo, M., da Costa, V., & Bardou, F. (2002) · HAL (Le Centre pour la Communication Scientifique Directe) · Cited by 66
Heterogeneity explains features of “anomalous” thermodynamics and statistics
Gheorghiu, S., & Coppens, M. (2004) · Proceedings of the National Academy of Sciences · doi:10.1073/pnas.0407191101 · Cited by 50
Scikit-mobility: a Python library for the analysis, generation and risk assessment of mobility dataPreprint
Pappalardo, L., Simini, F., Barlacchi, G., & Pellungrini, R. (2019) · arXiv (Cornell University) · doi:10.48550/arxiv.1907.07062 · Cited by 46
Early diagnosis of severe congenital malformations by ultrasonography
Schmidt, W., & Kubli, F. (1982) · Journal of Perinatal Medicine · doi:10.1515/jpme.1982.10.5.233 · Cited by 27
Protection of Vascular Prostheses Following Radical Inguinal Excisions
Goldsmith, H. S., & BEATTIE, E. J. (1969) · Surgical Clinics of North America · doi:10.1016/s0039-6109(16)38798-9 · Cited by 22
Infostop: Scalable stop-location detection in multi-user mobility data
Aslak, U., & Alessandretti, L. (2020) · arXiv · doi:10.48550/arxiv.2003.14370 · Cited by 21
Self-citationTruncated lognormal distributions and scaling in the size of naturally defined population clusters
Corral, Á. J., Udina, F., & Arcaute, E. (2020) · Physical review. E · doi:10.1103/physreve.101.042312 · Cited by 20
Immunoglobulin structure determined from products of plasma cell neoplasms.
Solomon, A. D., & Cl, M. (1973) · PubMed · Cited by 10
Medical Complications of Alternative Cancer Therapy
Markman, M. M. (1985) · New England Journal of Medicine · doi:10.1056/nejm198506203122517 · Cited by 8
TARDIVE DYSTONIA: WHICH WAY DO SCHIZOPHRENICS TWIST?
Corbin, D. O. C., Williams, A., & White, A.-M. (1987) · The Lancet · doi:10.1016/s0140-6736(87)90081-x · Cited by 7
On the Geographical and Social Hygienic Aspect of Female Genital Tuberculosis
Gavallér, I. (2010) · Gynaecologia · doi:10.1159/000303011 · Cited by 2
Least squares adjustment of hydrolysis data for antitumor compounds of platinum (II). ANL-7635.
Coley, R. F., & Frigerio, N. A. (1969) · PubMed · Cited by 2
[Leiomyosarcoma of the penis].
Martínez-Sahuquillo, A., Conejo García, E., & Ortega, M. N. (1975) · PubMed · Cited by 2
Shuliak, V. I., & Rn, K. (1986) · PubMed · Cited by 1
Gs, V., & Nn, O. (1988) · PubMed · Cited by 1
Heilporn, A., & Welraeds, D. (1988) · PubMed · Cited by 1
[Results of body measurements in children and adolescents of the German Democratic Republic 1967].
Frömter, D. (1969) · PubMed · Cited by 1
Research works printed but not linked: 4
- Larsen, J. & Urry, J. Mobilities, Networks, Geographies (Routledge, 2016).
- Alessandretti, L., Sapiezynski, P., Sekara, V., Lehmann, S. & Baronchelli, A. Evidence for a conserved quantity in human mobility. Nat. Hum. Behav. 2, 485–491 (2018). · DOI
- Batty, M. in Hierarchy in Natural and Social Sciences (ed. Pumain, D.) 143–168 (Springer, 2006).
- Train, K. E. Discrete Choice Methods with Simulation (Cambridge Univ. Press, 2009).
Cited by
Sorted by citations
The universal visitation law of human mobility
Schläpfer, M., Dong, L., O’Keeffe, K. P., Santi, P., Szell, M., Salat, H., Anklesaria, S., Vazifeh, M. M., Ratti, C., & West, G. B. (2021) · Nature · doi:10.1038/s41586-021-03480-9 · Cited by 449
Goel, R., Goodman, A., Aldred, R., Nakamura, R., Tatah, L., García, L., Zapata-Diomedi, B., de Sá, T. H., Tiwari, G., de Nazelle, A. J., et al. (2021) · Transport Reviews · doi:10.1080/01441647.2021.1915898 · Cited by 253
Gender differences in active travel in major cities across the world
Goel, R., Oyebode, O. O., Foley, L. S., Tatah, L., Millett, C. J., & Woodcock, J. (2022) · Transportation · doi:10.1007/s11116-021-10259-4 · Cited by 170
Future directions in human mobility science
Pappalardo, L., Manley, E., Sekara, V., & Alessandretti, L. (2023) · Nature Computational Science · doi:10.1038/s43588-023-00469-4 · Cited by 134
Self-citationData, measurement and empirical methods in the science of science
Liu, L., Jones, B. F., Uzzi, B., & Wang, D. (2023) · Nature Human Behaviour · doi:10.1038/s41562-023-01562-4 · Cited by 143
Metadata
- Authors
- Alessandretti, L., Aslak, U., & Lehmann, S.
- Affiliations
- University of Copenhagen (DK)
- Corresponding author
- Lehmann, Sune
- Venue
- Nature
- Published
- 2020-11-18
- Volume
- 587
- Issue
- 7834
- Pages
- 402-407
- ISSN
- 0028-0836 (ISSN-L)
- 1476-4687
- OpenAlex
- W3098208509
- Cited by
- 361
- References
- 90
- Citations by year
- 2026: 74 · 2025: 71 · 2024: 76 · 2023: 48 · 2022: 55 · 2021: 34 · 2020: 3
- FWCI
- 31.45
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Nature (publishedVersion)
- PubMed (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- Research at the University of Copenhagen (University of Copenhagen) (submittedVersion)
- RePEc: Research Papers in Economics (submittedVersion)
- Technical University of Denmark, DTU Orbit (Technical University of Denmark, DTU) (submittedVersion, other-oa)
- arXiv (Cornell University)
- Topics
- Social Sciences › Transportation › Human Mobility and Location-Based Analysis
- Social Sciences › Urban Studies › Urban Design and Spatial Analysis
- Social Sciences › Economics, Econometrics and Finance › Economics and Econometrics › Complex Systems and Time Series Analysis
- Keywords
- human mobility, spatial scale, neighborhood size, city size, single-cell trajectory analysis, power-law distribution, mobility behavior, urban-rural differences, gender differences
- MeSH terms
- Built Environment, Denmark, Humans, Models, Theoretical, Reproducibility of Results, Human Migration
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review