Article Dans Une Revue Annals of Forest Science Année : 2016

Liocourt’s law for tree diameter distribution in forest stands

Nicolas Picard
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David Gasparotto
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AbstractKey messageLiocourt’s legacy for the law on steady-state uneven-aged forests has been questioned. We propose a new interpretation of his results published in 1898 and refer to a manuscript dated 1900 to clarify that he established this law.Context Liocourt’s law states that in steady-state uneven-aged forests, the number of trees in successive diameter classes of equal width form a decreasing geometric series. When referring to this law, most authors cite a paper by Liocourt published in 1898. The 1898 paper does not contain any explicit mathematical expression, but its results can be interpreted as supporting a geometric series with ratio 2. Aims We reviewed Liocourt’s paper of 1898 to provide a new mathematical interpretation of his results, and reviewed other texts by Liocourt to identify the origin of his law. Results The paper of 1898 supports a polynomial expression of degree 4 rather than a geometric series. The geometric series was explicitly introduced by Liocourt in a handwritten text dated 1900 that remains little-known. Conclusion The 1898 text by Liocourt was a preliminary work on his law that was expressed in its current form in the manuscript dated 1900.

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hal-01541133 , version 1 (17-06-2017)

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Nicolas Picard, David Gasparotto. Liocourt’s law for tree diameter distribution in forest stands. Annals of Forest Science, 2016, 73 (3), pp.751-755. ⟨10.1007/s13595-016-0563-4⟩. ⟨hal-01541133⟩
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