Mathematical model of the radial cross section of tree rings

P. A. Akulov, V. A. Tartakovsky, Yu N. Lsaev, V. D. Nesvetailo, Yu V. Volkov, V. N. Popov

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

A mathematical model of tree rings in the form of an interference pattern is presented. The model allows retrospective reconstruction of continuous radial growth of a tree during the entire vegetation season. The radial dependence of the wood density is considered as a certain oscillation whose phase is a strictly increasing function of radius. The radial growth is defined as a monotonic function of time, inverse with respect to the phase. Algorithms for model analysis are based on the condition of dispersion causality. Experimental results are discussed.

Original languageEnglish
Title of host publicationProceedings - 2012 7th International Forum on Strategic Technology, IFOST 2012
DOIs
Publication statusPublished - 2012
Event2012 7th International Forum on Strategic Technology, IFOST 2012 - Tomsk, Russian Federation
Duration: 18 Sep 201221 Sep 2012

Conference

Conference2012 7th International Forum on Strategic Technology, IFOST 2012
CountryRussian Federation
CityTomsk
Period18.9.1221.9.12

Fingerprint

Trees (mathematics)
Mathematical models
Wood
Mathematical model
Cross section
Causality
Interference
Oscillation
Vegetation

Keywords

  • algorithms
  • mathematical model
  • radial growth
  • tree rings

ASJC Scopus subject areas

  • Management of Technology and Innovation

Cite this

Akulov, P. A., Tartakovsky, V. A., Lsaev, Y. N., Nesvetailo, V. D., Volkov, Y. V., & Popov, V. N. (2012). Mathematical model of the radial cross section of tree rings. In Proceedings - 2012 7th International Forum on Strategic Technology, IFOST 2012 [6357810] https://doi.org/10.1109/IFOST.2012.6357810

Mathematical model of the radial cross section of tree rings. / Akulov, P. A.; Tartakovsky, V. A.; Lsaev, Yu N.; Nesvetailo, V. D.; Volkov, Yu V.; Popov, V. N.

Proceedings - 2012 7th International Forum on Strategic Technology, IFOST 2012. 2012. 6357810.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Akulov, PA, Tartakovsky, VA, Lsaev, YN, Nesvetailo, VD, Volkov, YV & Popov, VN 2012, Mathematical model of the radial cross section of tree rings. in Proceedings - 2012 7th International Forum on Strategic Technology, IFOST 2012., 6357810, 2012 7th International Forum on Strategic Technology, IFOST 2012, Tomsk, Russian Federation, 18.9.12. https://doi.org/10.1109/IFOST.2012.6357810
Akulov PA, Tartakovsky VA, Lsaev YN, Nesvetailo VD, Volkov YV, Popov VN. Mathematical model of the radial cross section of tree rings. In Proceedings - 2012 7th International Forum on Strategic Technology, IFOST 2012. 2012. 6357810 https://doi.org/10.1109/IFOST.2012.6357810
Akulov, P. A. ; Tartakovsky, V. A. ; Lsaev, Yu N. ; Nesvetailo, V. D. ; Volkov, Yu V. ; Popov, V. N. / Mathematical model of the radial cross section of tree rings. Proceedings - 2012 7th International Forum on Strategic Technology, IFOST 2012. 2012.
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