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Forested Landscapes Modelling Based on Tensors and Scenarios

Received: 27 June 2019     Accepted: 4 September 2019     Published: 19 September 2019
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Abstract

A forest is an object so complex that it can never be known in all its details. But it is possible to get a "simplified picture" of the forest functioning, i.e. it is possible to build a "model". For this purpose, a forest may be considered as a landscape, the elements of which are the model basis; each element of a forested landscape is then the forest parts occupied by the same tree species. The model is built with the knowledge of the forester, and not on a priori biological and economical equations. The forester builds directly spread sheets matrixes for each tree species by writing what he knows about the evolution of each of them. Each line of the spread sheet reports the evolution along time of a "parameter" such as trees height, average diameter, number of trees by hectare, total volume by hectare, management cost, economical products value, etc. In our case each element of forest landscape will give its own matrices, and a set of matrices is called "tensor" by mathematicians. Three types of tensors are proposed, in order to improve forest management by building scenarios. The main interest of this model is to help foresters to see more precisely the consequences of their management decisions.

Published in American Journal of Agriculture and Forestry (Volume 7, Issue 5)
DOI 10.11648/j.ajaf.20190705.14
Page(s) 185-190
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2019. Published by Science Publishing Group

Keywords

Model, Forest Silviculture, Tensors

References
[1] Forman R. T. T & Godron M, 1986, Landscape Ecology, Wiley, 620 p.
[2] Godron M., 2012, Écologie et évolution du monde vivant, L'Harmattan, Paris, 3 vol.
[3] Godron M. 1961 Rapport sur la conversion des taillis sous futaie en futaie par bouquets, Centre d'études techniques forestières du Berry, 23 p.
[4] Godron M., 1966, Bases préliminaires pour établir un plan simple de gestion, Annales du comité central agricole de la Sologne, 3: 101-112.
[5] Godron M. 1972, Échantillonnage linéaire et cartographie, Investigacion Pesquera, 36 (1).
[6] Godron M. & J. Poissonet, 1973, Phyto-écologie et aménagement cynégétique. Cas d'une région française: la Sologne, CNRS-C.E.P.E Louis Emberger, document 73, 18 p.
[7] Godron M. &, Li Xiu-Zhen, 2001, Some questions about landscape modelling, Journ. of Environmental Sci., 13, 4: 459-465.
[8] Dejous, J-F. (2019), Suivis annuels d'occupation des sols et ressources forestières Forêt-entreprise, 247: 25-30.
[9] Desprez-Loustau M.-L., Robin C., Reynaud G. 2007. Simulating the effects of a climate change scenario on geographical range and activity of forest pathogenic fungi. Can. J. Plant Pathol. 249: 246-253.
[10] Dufour-Kowalski S., Courbaud B., Dreyfus P., Meredieu, C., Coligny F. de. 2012, Capsis; an open software framework and community for forest growth modelling. Annals of Forest Science. 69: 221-233.
[11] Godron M. & H. Joly, 2008, Dictionnaire du paysage Ed. CILF, 11 rue de Navarin 75009, 278 p.
[12] Bergès L., Dupouey J.-L. 2017, Ecologie historique et ancienneté de l'état boisé. Rev. For. Fr. 4: 297-318.
[13] Godron M (2018) Three Direct Measures of Diversity for Forests. Curr Trends Forest Res: CTFR-116. DOI: 10.29011/ 2638-0013. 100016.
[14] Didolot F. 2019. Le climat une préoccupation commune pour des propriétaires et des entreprises. Forêt-entreprise. 245: 16-23.
[15] Naudts K et al. 2016 Europes forest management did not mitigate climate warming. Science 351: 597-600.
[16] Godron M. (prep.) Exact probabilistic methods for landscape ecology.
Cite This Article
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    Michel Godron. (2019). Forested Landscapes Modelling Based on Tensors and Scenarios. American Journal of Agriculture and Forestry, 7(5), 185-190. https://doi.org/10.11648/j.ajaf.20190705.14

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    ACS Style

    Michel Godron. Forested Landscapes Modelling Based on Tensors and Scenarios. Am. J. Agric. For. 2019, 7(5), 185-190. doi: 10.11648/j.ajaf.20190705.14

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    AMA Style

    Michel Godron. Forested Landscapes Modelling Based on Tensors and Scenarios. Am J Agric For. 2019;7(5):185-190. doi: 10.11648/j.ajaf.20190705.14

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  • @article{10.11648/j.ajaf.20190705.14,
      author = {Michel Godron},
      title = {Forested Landscapes Modelling Based on Tensors and Scenarios},
      journal = {American Journal of Agriculture and Forestry},
      volume = {7},
      number = {5},
      pages = {185-190},
      doi = {10.11648/j.ajaf.20190705.14},
      url = {https://doi.org/10.11648/j.ajaf.20190705.14},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajaf.20190705.14},
      abstract = {A forest is an object so complex that it can never be known in all its details. But it is possible to get a "simplified picture" of the forest functioning, i.e. it is possible to build a "model". For this purpose, a forest may be considered as a landscape, the elements of which are the model basis; each element of a forested landscape is then the forest parts occupied by the same tree species. The model is built with the knowledge of the forester, and not on a priori biological and economical equations. The forester builds directly spread sheets matrixes for each tree species by writing what he knows about the evolution of each of them. Each line of the spread sheet reports the evolution along time of a "parameter" such as trees height, average diameter, number of trees by hectare, total volume by hectare, management cost, economical products value, etc. In our case each element of forest landscape will give its own matrices, and a set of matrices is called "tensor" by mathematicians. Three types of tensors are proposed, in order to improve forest management by building scenarios. The main interest of this model is to help foresters to see more precisely the consequences of their management decisions.},
     year = {2019}
    }
    

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  • TY  - JOUR
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    N1  - https://doi.org/10.11648/j.ajaf.20190705.14
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    T2  - American Journal of Agriculture and Forestry
    JF  - American Journal of Agriculture and Forestry
    JO  - American Journal of Agriculture and Forestry
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    PB  - Science Publishing Group
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    UR  - https://doi.org/10.11648/j.ajaf.20190705.14
    AB  - A forest is an object so complex that it can never be known in all its details. But it is possible to get a "simplified picture" of the forest functioning, i.e. it is possible to build a "model". For this purpose, a forest may be considered as a landscape, the elements of which are the model basis; each element of a forested landscape is then the forest parts occupied by the same tree species. The model is built with the knowledge of the forester, and not on a priori biological and economical equations. The forester builds directly spread sheets matrixes for each tree species by writing what he knows about the evolution of each of them. Each line of the spread sheet reports the evolution along time of a "parameter" such as trees height, average diameter, number of trees by hectare, total volume by hectare, management cost, economical products value, etc. In our case each element of forest landscape will give its own matrices, and a set of matrices is called "tensor" by mathematicians. Three types of tensors are proposed, in order to improve forest management by building scenarios. The main interest of this model is to help foresters to see more precisely the consequences of their management decisions.
    VL  - 7
    IS  - 5
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Author Information
  • Department Laddys, Faculty of Geography, University Paris-Diderot, Paris, France

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