{"id":1805,"date":"2016-06-18T10:58:21","date_gmt":"2016-06-18T08:58:21","guid":{"rendered":"http:\/\/ist.blogs.inra.fr\/afs\/?p=1805"},"modified":"2016-06-18T10:59:36","modified_gmt":"2016-06-18T08:59:36","slug":"liocourts-law-for-tree-diameter-distribution-in-forest-stands","status":"publish","type":"post","link":"https:\/\/ist.blogs.inrae.fr\/afs\/2016\/06\/18\/liocourts-law-for-tree-diameter-distribution-in-forest-stands\/","title":{"rendered":"Liocourt\u2019s law for tree diameter distribution in forest stands"},"content":{"rendered":"<script type='text\/javascript' src='https:\/\/d1bxh8uas1mnw7.cloudfront.net\/assets\/embed.js'><\/script><div id=\"ASec1\" class=\"AbstractSection\">\n<p class=\"Para\" style=\"text-align: justify\"><strong class=\"EmphasisTypeBold \">Liocourt\u2019s 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.<\/strong><\/p>\n<\/div>\n<div id=\"ASec2\" class=\"AbstractSection\">\n<h3 class=\"Heading\"><strong class=\"EmphasisTypeBold \">Abstract<\/strong><\/h3>\n<p class=\"Para\" style=\"text-align: justify\">Liocourt\u2019s 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. We reviewed Liocourt\u2019s 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. 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. The 1898 text by Liocourt was a preliminary work on his law that was expressed in its current form in the manuscript dated 1900.<\/p>\n<\/div>\n<div class='altmetric-embed' data-badge-type='donut' data-doi='10.1007\/s13595-016-0563-4'  style='float: right; ' ><\/div>\n<p><strong><span style=\"color: #000080\"><a style=\"color: #000080\" href=\"http:\/\/link.springer.com\/article\/10.1007\/s13595-016-0563-4\" target=\"_blank\">Read the full paper<\/a><\/span><\/strong><\/p>\n<hr \/>\n<p><span style=\"color: #008000\"><strong>Publication<\/strong><\/span><\/p>\n<p>Picard N, Gasparotto D 2016. Liocourt\u2019s law for tree diameter distribution in forest stands. Ann. For. Sci.: 1-5. 10.1007\/s13595-016-0563-4.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Liocourt\u2019s 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. Abstract Liocourt\u2019s law states that in steady-state uneven-aged forests, the number of trees in successive diameter classes of [&hellip;]<\/p>\n","protected":false},"author":35,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[15],"tags":[],"class_list":["post-1805","post","type-post","status-publish","format-standard","hentry","category-research-paper","cat-15-id"],"_links":{"self":[{"href":"https:\/\/ist.blogs.inrae.fr\/afs\/wp-json\/wp\/v2\/posts\/1805","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/ist.blogs.inrae.fr\/afs\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/ist.blogs.inrae.fr\/afs\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/ist.blogs.inrae.fr\/afs\/wp-json\/wp\/v2\/users\/35"}],"replies":[{"embeddable":true,"href":"https:\/\/ist.blogs.inrae.fr\/afs\/wp-json\/wp\/v2\/comments?post=1805"}],"version-history":[{"count":0,"href":"https:\/\/ist.blogs.inrae.fr\/afs\/wp-json\/wp\/v2\/posts\/1805\/revisions"}],"wp:attachment":[{"href":"https:\/\/ist.blogs.inrae.fr\/afs\/wp-json\/wp\/v2\/media?parent=1805"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/ist.blogs.inrae.fr\/afs\/wp-json\/wp\/v2\/categories?post=1805"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/ist.blogs.inrae.fr\/afs\/wp-json\/wp\/v2\/tags?post=1805"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}