A three-dimensional network-based space–time prism

  title={A three-dimensional network-based space–time prism},
  author={Tijs Neutens and Nico Van de Weghe and Frank Witlox and Philippe De Maeyer},
  journal={Journal of Geographical Systems},
Time-geographic concepts are effective tools for the geovisualization of human activity patterns and to assess individual accessibility. In their traditional form, however, time-geographic concepts assume uniform travel velocities in an isotropic and homogeneous space. Because transportation systems confine travellers to links of road and rail networks with time-varying flows, these premises are typically unsatisfied in real-world situations. This paper provides an innovative approach to… 
Analytical methods for error propagation in planar space–time prisms
This paper develops an analytical approach to assessing error propagation in space–time prisms and prism–prism intersections using an implicit function theorem that provides the required first-order partials without the explicit expressions.
Propagating and measuring anchor uncertainty in space-time prisms on road networks
The notion of sample points is extended to sample regions, which are bounded, sometimes disconnected, subsets of space-time wherein each point is a possible location, with its respective probability, where a moving object could have originated from or arrived in.
The Prism of Everyday Life: Towards a New Research Agenda for Time Geography
Abstract In light of the renewed attention for time geography in the transport modelling field in recent years, this paper provides a timely state‐of‐the‐art review of the contributions of the
Voxel-based probabilistic space-time prisms for analysing animal movements and habitat use
Time-geographic analysis has been limited in the past by its capacity to model only potential locations for moving objects, without sufficiently evaluating which locations are more probable. This
Efficient Geo-Computational Algorithms for Constructing Space-Time Prisms in Road Networks
The proposed NTP-A* algorithm employs the A* and branch-and-bound techniques to discard inaccessible links during two shortest path searches, and thereby improves the STP construction performance.
PySTPrism: Tools for voxel-based space-time prisms
Anchor uncertainty and space-time prisms on road networks
This article generalizes the concept of anchor points to anchor regions: these are bounded, possibly disconnected, subsets of space-time containing all possible locations for the anchor points, with each location labelled with an anchor probability.
Space-Time Representation of Accessible Areas for Wheelchair Users in Urban Areas (Short Paper)
An approach to measure the space-time accessibility of urban areas considering environmental characteristics, users’ capabilities, and time constraints is proposed and it highlights time constraint that is rooted in time geography theory.


Modelling accessibility using space-time prism concepts within geographical information systems
  • H. Miller
  • Geography
    Int. J. Geogr. Inf. Sci.
  • 1991
In this paper, the derivation and manipulation of space-time prism concepts within a geographical information system (GIS) are discussed and a generic GIS based procedure is presented.
Hagerstrand's time geography is a powerful conceptual framework for understanding constraints on human activity participation in space and time. However, rigorous, analytical definitions of basic
Necessary Space—Time Conditions for Human Interaction
The author contributes by developing rigorous statements of the necessary space–time conditions for human interaction by extending a measurement theory for time geography that identifies necessary conditions both for physical and for virtual interaction.
Measuring Space‐Time Accessibility Benefits within Transportation Networks: Basic Theory and Computational Procedures
Space-time accessibility and benefit measures that are consistent with the rigorous Weibull axiomatic framework for accessibility measures are derived that reflect the locations, distances and travel velocities allowed by an urban transportation network.
Structuring a Wayfinder's Dynamic Space-Time Environment
With this structure, improved spatial information systems can be designed to support wayfinders in dynamic environments and allows for reasoning about space-time decision points and their impact on future possibilities.
Space-time accessibility measures: A geocomputational algorithm with a focus on the feasible opportunity set and possible activity duration
A new operational method and GIS-based algorithm is developed that better represents the space-time characteristics of urban opportunities and human activity-travel behavior and helps overcome several shortcomings of previous approaches to evaluating space- time accessibility.
Computational Tools for Measuring Space-Time Accessibility within Transportation Networks with Dynamic Flow
The space-time prism (STP) and STP-based accessibility measures are powerful techniques for assessing the ability of individuals to travel and participate in activities at different locations and
Space–time opportunities for multiple agents: a constraint‐based approach
This paper proposes a conceptual framework in order to determine interaction spaces for groups of individuals based on availability of means of transport and the locations of each individual, minimum activity duration and opening hours of opportunities.
Application of a CAD-based Accessibility Model
Geographical understanding of accessibility usually proceeds macroscopically, from the vantage point of a remote and detached observer, but this can obscure the way communication and transportation are incorporated in individual lives in real places, and hide much that is of interest from a cultural, social, or psychological viewpoint.
Gis methods in time‐geographic research: geocomputation and geovisualization of human activity patterns
Abstract Over the past 40 years or so, human activities and movements in space‐time have attracted considerable research interest in geography. One of the earliest analytical perspectives for the