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Modeling individual human mobility patterns by travel purpose

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HAL Id: hal-02604647

https://hal.inrae.fr/hal-02604647

Submitted on 6 Jul 2020

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Modeling individual human mobility patterns by travel

purpose

Maxime Lenormand

To cite this version:

Maxime Lenormand. Modeling individual human mobility patterns by travel purpose. Conference on Complex Systems, Sep 2016, Amsterdam, Netherlands. pp.25. �hal-02604647�

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Maxime Lenormand | Irstea, France

19 September 2016

CCS 2016 | Amsterdam, Netherlands

Modeling individual human mobility patterns

by travel purpose

Juan Murillo Arias | BBVA, Spain Maxi San Miguel | IFISC, Spain

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Brockmann et al. (2006) The scaling laws of human travel.

Nature 439, 462-465.

Continuous-Time Random Walks

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Individual human mobility patterns

Gonzalez et al. (2008) Understanding individual human mobility patterns.

Nature 453, 779-782. < rg (t) > (k m ) 1 10 100 0 1,000 2,000 3,000 4,000 t (h) RW LF rg≤ 3 km 20 <rg≤ 30 km rg> 100 km Users Models (h) Fpt (t) 0 24 48 72 96 120144 168192216 240 0 0.01 0.02 t (h) Users RW

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Individual human mobility patterns

Song et al. (2010) Limits of predictability in human mobility.

Science 327, 1018-1021. 52% 5% 6% 27% Time: t Time: t +Δt S= 4 S= 5 S= 4 Pnew= S¬ Pret= 1¬ Sρ¬γ γ ρ Δr f1 f2 f3 Πi=fi an Exploration Preferential return

Song et al. (2010) Modelling the scaling properties of human mobility

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Rhee et al. (2008) On the Levy-walk nature of human mobility.

INFOCOM 2008. an

Lee et al. (2009) SLAW: A mobility model for human walks.

Proceedings of the 28th Annual Joint Conference of the IEEE Computer and Communications Societies (INFOCOM).

Hasan et al. (2013) Spatiotemporal Patterns of Urban Human Mobility.

J Stat Phys 151, 304–318.

Schneider et al. (2013) Unravelling daily human mobility motifs.

J R Soc Interface 10, 20130246.

Han et al. (2015) Cascading Walks Model for Human Mobility Patterns.

Plos One 10, e0124800.

Gallotti et al. (2015) A stochastic model of randomly accelerated walkers

for human mobility. Nature Communications 7, 12600.

Kang et al. (2012) Intra-urban human mobility patterns: An urban morphology

perspective. Physica A 391,1702-1717.

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Is there a link between the amount of "energy" invested into a travel and the value attached to the purpose/objectif of this travel?

d

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How to integrate the importance of trip destination into an individual human mobility model?

d

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d

Model

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Transaction • Customer ID • Business ID • Amount • TIme Customer • Customer ID • Gender • Age • Occupation • Marital Status • Study

ZipCode (Lon/Lat)

Business • Business ID • Category • Coordinates • ZipCode (Lon/Lat) Customer • Customer ID • Country BBVA? No Yes

13 M of transactions made by 300,000 users in Barcelona in 2011

Results

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Results

v< 50 v∈[50,75[ v∈[75,100[ v∈[100,200[ v∈[200,500[

d (km)

PDF

10−1 100 101 102 10−3 10−2 10−1 100 d (km) PDF 10−1 100 101 102 10−5 10−4 10−3 10−2 10−1 100

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Results

2.0 2.5 3.0 3.5 4.0 4.5 101 102 v (euro) d v< 50 v∈[50,75[ v∈[75,100[ v∈[100,200[ v∈[200,500[ d d PDF 10−1 100 101 10−2 10−1 100

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Results

Data Model

d (km)

PDF

10−1 100 101 102 10−6 10−5 10−4 10−3 10−2 10−1 100

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Results

d (km) PDF 10−1 100 101 102 10−6 10−5 10−4 10−3 10−2 10−1 100 Pv= 0.2 Pv= 0.4 Pv= 0.6 Pv= 0.8 0.10 0.15 0.20 0.25 0.30 101 102 v (euro) Pv

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Men Women

d (km)

P

D

F

10−1 100 101 102 103 10−6 10−5 10−4 10−3 10−2 10−1 100

Results

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Take home messages

Importance of trip destination in the modeling of individual

human mobility patterns

Test the model against empirical data

Analytical solution

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Results

0.0 0.5 1.0 1.5 0 1 2 3 4 γ PDF 0.0 0.5 1.0 1.5 0 1 2 3 4 γ PDF Barcelona Madrid

Home

Business

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