CUPUM 2025

Extracting Key Urban Footfall Signatures using Principal Component Analysis


Jack Liddle, Wenhua Jiang and Nick Malleson

School of Geography, University of Leeds

The Alan Turing Institute


These slides: www.nickmalleson.co.uk/presentations.html

This project has received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreement No. 757455)

Picture of the journal article front page

Paper recently published

Liddle, J., W. Jiang, and N. Malleson (2025). Leveraging Principal Component Analysis to Uncover Urban Pedestrian Dynamics. Journal of Geographical Systems DOI: 10.1007/s10109-025-00469-0

Melbourne skyline at night

Photo attributed to bobarcpics (CC BY 2.0)

Overview

Footfall data: counts of pedestrians

Context: A better understanding of urban dynamics through the analysis of footfall data

Principal Component Analysis to isolate key temporal patterns at various urban locations

Identify surprisingly clear patterns

Better understand the evolution of urban footfall dynamics

Context: Footfall Dynamics

Hypothetical example of footfall dynamics: graph showing peaks for commuting

Data

Graph showing when the different sensors were available
Availability of the different sensors over time

Melbourne Footfall Counters

Fantastic data available through the Melbourne Open Data Portal

Footfall counters

94 sensors counting hourly footfall, some date back to 2009

We use 24 months of data (all of 2018 and 2019, avoiding COVID)

Map of sensor locations in Melbourne
Locations of the Melbourne footfall sensors

Footfall Data

Mean daily and weekly footfall counts

Some regularity but also huge variation

Principal Component Analysis (PCA)

Technique for reducing dimensionality in datasets

Isolate significant features; the 'principal components'

Raw data can be approximated by a linear combination of component loadings

Here: components are vectors of length 24 (or 168 if we look at weeks)

How many principal components?

Proportion of explained variance

Cumulative explained variance - shows number of components needed to explain
                              the variance in the footfall trends

Results (i): Most Important Components

Shape of the daily components - look like business, commuters, lunch activity
Shape of the daily components - look like business, commuters, lunch activity

Most Important Components

Component 1 - busyness

Almost identical to mean daily activity

Busy places: component loadings > 1

Quiet places: component loadings < 1

Component 2 - commuting

Peaks in the morning and afternoon - typical rush hour

Component loadings represent presence of commuters

Component 3 - lunchtime suppression

Suppresses activity in the middle of the day and increase it over lunch

Results (ii) Component Loadings

Examples: Southern Cross Station and Southbank

Graph showing how the component loadings vary by day and location

Results (iii): Component Interactions

UrbanUsageSpaceDemoDays.html
Showing how two clusters interact and form clusters of different
                              urban usage patterns

Results (iv): Evolution of Usage Patterns

Southern Cross

Commuting is largest driver of footfall; still lower than pre-pandemic levels

Additional footfall might be encouraged by making it attractive to commuters

Example of how usage patterns in locations change over time

Results (iv): Evolution of Usage Patterns

Lygon St

Steady decline in busyness, but a gradual increase in commuting?

Possible transition towards a more commuting-oriented area

Example of how usage patterns in locations change over time

Summary / Conclusions

Application of PCA to investigate (spatio-)temporal footfall trends

Drawbacks: validation of activities; equity in sensor location

Opportunities to:

better understand use of the build environment

explore evolution of activities over time

cluster places / times based on activity structure

explore relationships between components

Many implications for policy making

CUPUM 2025

Extracting Key Urban Footfall Signatures using Principal Component Analysis


Jack Liddle, Wenhua Jiang and Nick Malleson

School of Geography, University of Leeds

The Alan Turing Institute


These slides: www.nickmalleson.co.uk/presentations.html

This project has received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreement No. 757455)