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Distance-Decay Effect in Probabilistic Time Geography for Random Encounter

1
School of Resources and Environmental Engineering, Wuhan University of Technology, Wuhan 430061, China
2
School of Resource and Environmental Sciences, Wuhan University, Wuhan 430061, China
*
Authors to whom correspondence should be addressed.
ISPRS Int. J. Geo-Inf. 2019, 8(4), 177; https://doi.org/10.3390/ijgi8040177
Received: 23 February 2019 / Revised: 28 March 2019 / Accepted: 1 April 2019 / Published: 4 April 2019
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Abstract

Probabilistic time geography uses a fixed distance threshold for the definition of the encounter events of moving objects. However, because of the distance-decay effect, different distances within the fixed threshold ensure that the encounter events do not always have the same possibility, and, therefore, the quantitative probabilistic time geography analysis needs to consider the actual distance-decay coefficient (DDC). Thus, this paper introduces the DDC and proposes a new encounter probability measure model that takes into account the distance-decay effect. Given two positions of a pair of moving objects, the traditional encounter probability model is that if the distance between the two positions does not exceed a given threshold, the encounter event may occur, and its probability is equal to the product of the probabilities of the two moving objects in their respective positions. Furthermore, the probability of the encounter at two given positions is multiplied by the DDC in the proposed model, in order to express the influence of the distance-decay effect on the encounter probability. Finally, the validity of the proposed model is verified by an experiment, which uses the tracking data of wild zebras to calculate the encounter probability, and compares it with the former method. View Full-Text
Keywords: time geography; distance-decay coefficient; space-time interaction; movement ecology; encounter probability time geography; distance-decay coefficient; space-time interaction; movement ecology; encounter probability
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Yin, Z.-C.; Jin, Z.-H.-N.; Ying, S.; Liu, H.; Li, S.-J.; Xiao, J.-Q. Distance-Decay Effect in Probabilistic Time Geography for Random Encounter. ISPRS Int. J. Geo-Inf. 2019, 8, 177.

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