Perspective

PNAS Nexus · Vol 5, Issue 5, 2026 · pgag130

Urban vibrancy: An analogy of biodiversity, retail diversity, and activity-based urban diversity measures

Edward C. Y. Yiu  ·  Diogo Pacheco  ·  Riccardo Di Clemente  ·  Federico Botta

“Knowing that a place is ‘commercial’ or ‘residential’ does not capture what activities take place there, or when and why people go there.”

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Why traditional measures of urban life fall short

Urban planners and researchers have long tried to quantify how vibrant a city feels — how alive, varied, and energetic its streets and spaces are. Two dominant approaches exist, but both miss something fundamental: what people are actually doing, and how rich and balanced that activity is across time and space.

Traditional 👥

Population Density

Counts how many people live or gather somewhere. Treats all presence as equivalent — a rush-hour commuter and a festival-goer register identically, erasing the qualitative texture of city life.

Traditional 🗺️

Land-use Mix

Classifies zones as residential, commercial, or industrial. Captures what a space is designated for — not what unfolds within it at any given hour, or why people choose to be there.

Proposed 🌈

Activity Diversity

Measures the richness and evenness of distinct human activities — working, shopping, socialising, celebrating, and more — drawn directly from behavioural data rather than planning designations.

“Knowing that a place is ‘commercial’ or ‘residential’ does not capture what activities take place there or when and why people go there to perform those activities.” — Yiu, Pacheco, Di Clemente & Botta (2026)

Cities as ecosystems

The paper’s central insight is that urban vibrancy behaves remarkably like biodiversity in ecology. Both depend on the same five determinants; both can be quantified with diversity indices such as Shannon entropy; and both face a “carrying capacity” beyond which more is no longer better. By mapping these determinants across three fields — ecology, retail, and urban planning — a unified measurement framework emerges. Click any row to explore the parallel.

🌿  Ecology
🏪  Retail
🏙️  Urban

↑ Click a row to highlight it

Ecological indices such as the Shannon diversity index — originally developed to measure species richness and evenness in habitats — can be repurposed to quantify the richness and evenness of human activities across urban spaces.

A new language for urban life

Rather than labelling spaces by their planning designation, this framework classifies urban behaviour into 13 activity categories grounded in what people actually do — drawn from mobile phone traces, social media data, and behavioural surveys. Measuring the mix and balance of these activities gives a richer, more dynamic picture of vibrancy than any land-use map can provide. Click an activity to explore.

👆
Select an activity above
Click any of the 13 activity types to see how it contributes to the measurement of urban vibrancy.

The Goldilocks principle for cities

One of ecology’s most powerful concepts is carrying capacity: the maximum load an environment can sustain without degrading. The same logic applies to urban spaces — too little activity feels lifeless, but too much tips a neighbourhood into overcrowding, noise, and decline. Vibrancy is not a monotone function of busyness: it peaks, then falls.

Sparse
Too few activities, too little diversity. Spaces feel underused — an empty shopping precinct, a dormitory suburb with no amenities. Low vibrancy despite low friction.
Vibrant Equilibrium
A balanced diversity of activities operating at the city’s carrying capacity. Multiple uses coexist, temporal rhythms are rich, and the space feels alive without feeling chaotic. This is the policy target.
Overcrowded
Activity concentrations exceed carrying capacity — congestion, noise, gentrification, and monocultures of tourism erode quality of life. Vibrancy paradoxically collapses.

What this framework needs to work

Turning the biodiversity analogy into a practical urban measurement tool requires new data pipelines, interdisciplinary methods, and careful attention to ethics and representation. The paper maps out both the opportunities and the open challenges.

📱

Mobile Phone & Social Media

Behavioural traces that reveal where people go and what they do — capturing temporal dynamics invisible to traditional censuses.

🗺️

Geospatial & Mapping Data

OpenStreetMap, points-of-interest databases, and urban geometry to ground activities in physical space and built form.

📷

Street-view Imagery

Visual assessment of built-environment quality and design — a proxy for the structure and design determinant of vibrancy.

📊

Census & Socioeconomic Data

Contextual grounding — essential for understanding how activity diversity intersects with deprivation and demographic inequality.

🔒
Privacy & surveillance risks. Location data is sensitive. Frameworks must ensure individuals cannot be re-identified, and that data collection does not replicate or entrench surveillance infrastructures.
⚖️
Representativeness. Mobile phone and social media data skew toward certain demographics. Any vibrancy measure must correct for the systematic under-representation of older, less connected, or marginalised urban populations.
🌍
Cross-context validity. Does the same taxonomy of 13 activities travel from Auckland to Lagos to London? Building culturally portable measures that hold across urban contexts is a significant open challenge for the field.

Full paper

Edward Chung Yim Yiu, Diogo Pacheco, Riccardo Di Clemente, and Federico Botta (2026).
“Urban vibrancy: An analogy of biodiversity, retail diversity, and activity-based urban diversity measures.”
PNAS Nexus, Volume 5, Issue 5, pgag130.
DOI: 10.1093/pnasnexus/pgag130

Published open access in PNAS Nexus (Oxford University Press) under CC BY licence.
Funded by the International Central Networks and Partnerships Grant; the Lagrange Project (CRT Foundation); and the COLINE DUT European Partnership.