All geographical distances are optimal

l'Hostis, Alain

doi:10.4000/cybergeo.35048

Cited by 3 publications

(1 citation statement)

References 53 publications

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“…In the next section, we shall introduce contextual metrics, 1 which are metric-like functions defined on an enriched space modeling both physical space and a variety of possible factors influencing travel. To motivate and explain the need for this enrichment, let us discuss how the notion of break has been considered incorrectly as an impediment to the universal validity of the Triangle Inequality (L'Hostis 2016(L'Hostis , 2017(L'Hostis , 2020. The breaks in itineraries, that are necessary to relaunch movement, do not entail the idea of sub-optimality in distances that the Triangle Inequality violation suggest.…”

Section: Breaks and The Triangle Inequalitymentioning

confidence: 99%

Contextual Metrics a Mathematical Definition for a Comprehensive Approach of Geographical Distances

Kloeckner

l'Hostis²,

Richard

2020

Geographical Analysis

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Our goal is to establish a mathematical framework for the description of geographical distance in a comprehensive way. Geographical distance always refer to potential or realized movement between places, and these displacements obey the least effort rule. While this optimization of effort is well known to imply the Triangle Inequality in many situation, breaks in movement generate a paradox: effort optimization, taking into account the need to rest, results in apparent violations of the Triangle Inequality. In order to solve this issue, we introduce contextual metrics that consider space but also any contextual information relevant to travel, such as resources used for moving. Our approach permits to build a subjective space where distances are affected by the characteristics of the individual on the move. Contextual metrics frame the optimization problem in a space enriched by the context that the traveler has to take into account, making apparent that the violation of the Triangle Inequality in case of break was only an artifact of a model lacking crucial information. The range of geographical situations that can be modeled with this framework underline the level of generalization that can be expected from this approach.

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Section: Breaks and The Triangle Inequalitymentioning

confidence: 99%

Contextual Metrics a Mathematical Definition for a Comprehensive Approach of Geographical Distances

Kloeckner

l'Hostis²,

Richard

2020

Geographical Analysis

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Optimizing intermodal commuting by way of detours and breaks: Evidence of micromobility users in France

Moinse,

L'Hostis

2024

Journal of Transport Geography

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La pandémie de coronavirus en Équateur : une lecture spatiotemporelle de l’évolution de la mortalité pendant la première année

Barragán-Ochoa

2023

L’Espace Géographique

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La pandémie de coronavirus a bouleversé les territoires dans le monde entier, mais ses impacts diffèrent selon les espaces et les temporalités d’analyse, engendrant une diversité de processus spatiotemporels. À partir des données de mortalité en Équateur, l’un des territoires les plus touchés, on analyse la configuration spatiotemporelle (classification ascendante hiérarchique) et multi-échelles (analyse territoriale multiscalaire) de la pandémie. On en conclut que la propagation de la pandémie relève d’une articulation entre deux formes de complexité : celle relevant de l’imbrication des niveaux spatiaux, celle de l’imbrication des niveaux d’organisation. Le croisement des approches multitemporelle et multiscalaire permet d’identifier des territoires où les caractéristiques de propagation de la pandémie sont similaires, fournissant ainsi des connaissances utiles à la gestion territoriale de la pandémie.

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All geographical distances are optimal

Cited by 3 publications

References 53 publications

Contextual Metrics a Mathematical Definition for a Comprehensive Approach of Geographical Distances

Contextual Metrics a Mathematical Definition for a Comprehensive Approach of Geographical Distances

Optimizing intermodal commuting by way of detours and breaks: Evidence of micromobility users in France

La pandémie de coronavirus en Équateur : une lecture spatiotemporelle de l’évolution de la mortalité pendant la première année

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