Toward a kinetic-based probabilistic time geography

Probabilistic Model of Random Encounter in Obstacle Space

“…For example, in the lion's interaction analysis, the interaction threshold is set to 200 m, because lions from the same group are often observed within this distance [35]. In the interaction analysis of deer, the threshold based on visual observation was set to 50 etersm [6]. In this paper, an appropriate d meet = 80 m is chosen to be based solely on the grid cell with a side length of 30 m, which is consistent with the purpose of this paper, that is, to validate the effectiveness of the interaction probability model in obstacle space for mobile objects of different types and characteristics.…”

“…In many cases, one of the typical cases is that on a terrain barrier area S; a searcher is looking for a lost person, so how likely is the searcher to find the lost person? Where is the most likely place to encounter missing people?In GIScience, time geography, as a basis for quantifying agents, especially analyzing mobile objects [4], represents a powerful framework for exploring how individual movements are affected by different spatio-temporal processes [5,6], and the resulting space-time prism can describe the temporal and spatial boundaries of object motion and divide the position in space and time into reachable or unreachable [6]. Space-time prisms and paths [7,8], as well as their extensions, provide the basis for the geographic analysis of geographically moving objects, such as quantifying time-space interactions between objects, etc.…”

Space–Time Analysis: Concepts, Quantitative Methods, and Future Directions

“…For instance, comparisons between space-time paths can be conducted through the use of path similarity indexes including Hausdorff distance and Frechet distance, the dynamic time warping algorithm, the multiobjective optimization evolutionary algorithm Probabilistic time geography @ @ Survival analysis models b @ @ Others @ Process-based simulation Agent-based models c @ @ Others (e.g., Markov models) @ Spatial panel data analysis Pattern revelation Multiple space-time metrics @ Multiple space-time tests @ Others @ Space-time statistical models Panel regression models @ S-T autoregressive models & variants @ S-T weighted regression models @ Latent trajectory /multilevel models c @ Survival analysis models c @ @ Others (e.g., hybrid models) @ Process-based simulation Agent-based models @ @ Cellular automaton @ Spatial Markov models @ Others @ a We do not provide detail due to decent coverage in Long and Nelson (2013) Space-Time Analysis: Concepts, Quantitative Methods, and Future Directions (MOEA), and the longest common sequence algorithm (Chen et al 2011;Long and Nelson 2013;Kwan, Xiao, and Ding 2014). Other methods allow for grouping together individuals who have similar spacetime paths or activity density surface (Kwan 1999;Chen et al 2011), quantitatively modeling movement probabilities that incorporate object kinetics (Long, Nelson, and Nathoo 2014), and creating probabilistic space-time prisms depicting an individual agent's daily movement (Downs et al 2014). For details about these quantitative methods, see Long and Nelson (2013).…”

Modeling geospatial events during flood disasters for response decision-making

“…Current work in the spatiotemporal modeling of evacuations from fires (e.g., trigger buffers, Cova et al 2005, Dennison et al 2007, Larsen et al 2011, could benefit from a branching events model. This work only models a single fire scenario based upon the current weather conditions (e.g., wind, humidity) and characteristics of the natural environment (e.g., terrain, fuel) and simulates a single Egenhofer 2002, Kwan and Lee 2004, Raubal et al 2004, Miller 2005, Kang and Scott 2008, Miller and Bridwell 2009, Long et al 2013. More recently, researchers working in space-time prism research have investigated modeling potential (or alternative movements and uncertainties in space-time (Winter and Yin 2010, Delafontain et al 2011, Chen and Kwan 2012, Kuijpers et al 2013.…”

“…Events are situated in time and space therefore making questions on representation and modeling of objects in time relevant. Time geography examines how people move along a path and the relationships and arrangements that are a result of these movements (Kwan and Lee 2004, Raubal et al 2004, Miller 2005, Kang and Scott 2008, Miller and Bridwell 2009, Long et al 2013. More recently, research is extending previous work with space-time prisms (Hariharan and Hornsby 2000, Hornsby andEgenhofer 2002) to directly investigate how to model the potential (or alternative) movements and uncertainties in space-time (Winter and Yin 2010, Delafontain et al 2011, Chen and Kwan 2012, Kuijpers et al 2013.…”