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Towards Parameter Identification of a Behavioral Model from a Virtual Reality Experiment

Author

Listed:
  • Nathalie Verdière

    (Laboratoire de Mathématiques Appliquées, FR-CNRS-3335, 25, Rue Philippe Lebon, 76063 Le Havre, France)

  • Oscar Navarro

    (Laboratoire de Psychologie des Pays de la Loire—UPRES EA 4638, University of Nantes, 44312 Nantes, France)

  • Aude Naud

    (Laboratoire de Psychologie des Pays de la Loire—UPRES EA 4638, University of Nantes, 44312 Nantes, France)

  • Alexandre Berred

    (Laboratoire de Mathématiques Appliquées, FR-CNRS-3335, 25, Rue Philippe Lebon, 76063 Le Havre, France)

  • Damienne Provitolo

    (Campus Azur 250, Université Côte d’Azur, CNRS, Observatoire de la Côte d’Azur, IRD, Géoazur, Rue Albert Einstein, CEDEX, 06905 Sophia Antipolis, France)

Abstract

In this paper, we investigate the calibration of a mathematical model describing different behaviors occurring during a natural, a societal, or a technological catastrophe. This model was developed in collaboration with geographers and psychologists. To collect information on the level of stress, psychologists of the LPPL laboratory of Nantes (France) led virtual reality experiments. These experiments consisted in immersing individuals in a situation of catastrophe and measuring their electrocardiogram. From the physical and biological data collected, we present the methodology to calibrate the behavioral model. First, a theoretical analysis is carried out to determine (i) if the parameters can be uniquely estimated, (ii) the minimal number of discrete measurements required for the estimation. Then, from these analyses, an estimation procedure is performed to calibrate the mathematical model or at least to have an order magnitude of the model parameters. Through this work, we will show from simulations that the proposed system makes it possible to apprehend non observable human processes.

Suggested Citation

  • Nathalie Verdière & Oscar Navarro & Aude Naud & Alexandre Berred & Damienne Provitolo, 2021. "Towards Parameter Identification of a Behavioral Model from a Virtual Reality Experiment," Mathematics, MDPI, vol. 9(24), pages 1-25, December.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:24:p:3175-:d:698982
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    Citations

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    Cited by:

    1. Nathalie Verdière & Edwige Dubos-Paillard & Valentina Lanza & Damienne Provitolo & Rodolphe Charrier & Cyrille Bertelle & Alexandre Berred & Anne Tricot & Moulay Aziz-Alaoui, 2023. "Study of the Effect of Rescuers and the Use of a Massive Alarm in a Population in a Disaster Situation," Sustainability, MDPI, vol. 15(12), pages 1-23, June.
    2. Valentina Lanza & Damienne Provitolo & Nathalie Verdière & Cyrille Bertelle & Edwige Dubos-Paillard & Oscar Navarro & Rodolphe Charrier & Irmand Mikiela & Moulay Aziz-Alaoui & Abdel Halim Boudoukha & , 2023. "Modeling and Analysis of the Impact of Risk Culture on Human Behavior during a Catastrophic Event," Sustainability, MDPI, vol. 15(14), pages 1-27, July.

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