Urban Systems
Conference room
Chair: Julien Randon-Furling
Dense traffic and parking search in urban areas: Peering underneath the veil of complexity, Alexandre Nicolas, Antoine Tordeux, Enock Ndunda and Oscar Dufour
Vehicular traffic in cities causes negative externalities in the real world, but it also represents a theoretical conundrum, insofar as it mingles multiple layers of complexity: the complexity of human behaviour, that of the street network, and the collective effects that emerge from the interactions between cars. Our contribution aims to underline that, despite this complexity, some salient features of traffic can be quantitatively rationalised, by introducing adequate stochastic processes to render uncertain real behaviours.
We will first consider the emergence of traffic oscillations (i.e., stop-and-go waves) when traffic gets dense, even without external perturbation. A widespread idea has it that this emergence is related to a deterministic linear instability, caused e.g. by response delays. In contrast, we will show that inaccuracy in drivers’ perceptions and responses, modelled by stochastic noise and termed `human error’ in (Laval et al., 2014), gives rise to realistic traffic oscillations; a physics-based reasoning will provide quantitative insight into their emergence.
In the second part, we will turn to parking search, which is a central issue for metropolitan transport authorities and for individual drivers: it plays a key role in mode choice and cars cruising for on-street parking may represent more than 10\% of the traffic
in many large cities (Hampshire et al., 2018).
Vast swaths of literature in Transport Engineering have thus been dedicated to parking and, more recently, a couple of works have shown that, in extremely stylised settings, parking search can be addressed analytically \cite{krapivsky2019simple}.
Our goal, here, is to evince that even in realistic settings — with a large-scale street network and heterogeneous drivers’ behaviours — the machinery of statistical physics can give quantitative insight into parking search (Dutta et al., 2023) and help explore smart-parking solutions. (See attached PDF)
Recently, we have started extending this approach to assess the potential of parking-related measures, such as a reduction of the parking supply (see inset) or smart parking applications, guiding users towards probably vacant parking areas.
Anticipation beyond the imminent future in pedestrian crowds, Alexis Raulin-Foissac and Alexandre Nicolas
Pedestrians demonstrate remarkable navigational capabilities in highly constrained environments, such as dense crowds or cluttered urban settings. When multiple individuals interact, complex collective behaviors emerge, including lane formation and stop-and-go waves. While many modeling approaches aim to replicate these familiar behaviors, few account for the pedestrians’ ability to mutually anticipate their non-linear moves over finite time horizon. Here we fill this gap by introducing a new crowd modeling branch inspired by game theory. Our work integrates methods and insights from diverse research fields: condensed-matter physics, through an analogy between space-time trajectories and polymers; biological studies, particularly regarding energy expenditure; and robotics.
Towards realistic crowd simulation: incorporating medical data-driven body shapes for more realistic collisions and avoidance, Oscar Dufour, David Rodney and Alexandre Nicolas
Mass gatherings like Lyon’s Fête des Lumières, which draw millions annually, highlight the need for better crowd dynamics modeling to ensure safety and optimise pedestrian flow. Traditional models struggle in medium-density scenarios, oversimplifying pedestrian behavior and physical interactions. I propose an enhanced framework addressing these limitations by integrating anisotropic pedestrian shapes, realistic mechanical interactions, and advanced decision-making processes.
Conventional models often use isotropic circular shapes, failing to account for sneaking behaviour. They also inadequately replicate high-density scenarios observed at events like Fête des Lumières. Existing approaches typically separate mechanical and decisional behaviors—mechanical models handle collisions but lack sophisticated avoidance strategies, while decision-making models underestimate collision frequencies.
The proposed framework combines a decision-making layer (governing translational velocity and rotational speed based on constraints) with a mechanical layer (modeling physical interactions inspired by granular dynamics). It uses anisotropic shapes based on anthropometric data to reflect individual heterogeneity. Constraints include destination goals, biomechanical limits, personal space preservation, and time-to-collision strategies.
Validated through simulations of real-world scenarios, the model improves accuracy across density ranges. Its advancements have critical implications for enhancing safety and optimising pedestrian flow during large-scale events.
Land use change in 1800+ world cities since 1975 through the lens of radial scaling laws, Thibaud Rivet, Rémi Lemoy, Axel Pécheric and Gaëtan Laziou
The ever-increasing urbanization of the world meets us with pressing socio-environmental challenges. The sprawl of human settlements all over the planet leads to losses of arable land and biodiversity, and increases flood risks. Furthermore, this expansion is concerning with regard to climate change. In this context and considering the developing will of limiting urban sprawl (see for example the No Net Land Take objective [5]), we are faced with the task of understanding the fundamental structure and dynamics of cities.
Cities are more than just points on a map. They have an internal structure which unfolds radially, from center to periphery, revealing patterns that shape urban dynamics. To understand this spatial organization, we analyze how the share of built-up land evolves as we move outward. Since cities present a wide variety of sizes, scaling laws provide a powerful framework for modeling such behavior, capturing how a system’s properties shift with its size. Viewing cities as systems and population as their defining scale, we study how cities sprawl as population grows, at the global scale.
In order to do so, we establish a robust radial scaling law which quantifies the connection between the distance r to the city center and the amount of built-up land share sN (r), and how this relation scales with city size N.
We extend the homothetic scaling obtained in previous work [6,7] to a global sample of cities and at different dates to study the evolution over time. We focus our work on the 1860 cities of the world whose population is greater than 300,000 inhabitants in 2020. This sample presents a large diversity in terms of population size, topology, land use, urbanization policies and more. Despite such a wide variety, the scaling law still applies with surprising regularity. Furthermore, looking at the data at different points in time — from 1975 to 2020, with a 5 year step — allows us to analyze the evolution of this internal urban structure and scaling law of built-up land.
The data used in the study come from the Global Human Settlement Layer (GHSL), produced by the European Commission. It provides high-resolution and high-quality, globally consistent distributions of built-up areas, which we combine with the World Urbanization Prospect database from the United Nations for trustworthy population statistics. For each city of choice and each date, we analyze this GHS BUILT-S raster layer at 100 meters resolution and compute the average built-up land share in concentric rings of 200 meters width around the city center. To ensure the viable comparability between cities, we use for each city, with population N , a rescaled distance to the center r′ = r (N_Tokyo/N)^(1/2) which makes all cities comparable to the largest one, Tokyo (with population N_Tokyo ≃ 3.7 × 10^7 in 2020).
We analyze the evolution of the mean rescaled profile on Figure 1, and observe that built-up land increases over time all along the center-periphery profile, even when the size effect is controlled by the homothetic scaling law. In linear scale, the change is especially visible near the center, while it appears more clearly in the periphery on a semilog graph (Figure 1). This result means that the built-up surface per capita increases over time globally. We link this urban sprawl phenomenon with economic development and further analyze its geographical variations at national scale on the planet. This clearly questions the sustainability of urban expansion.