Tree allometry: Difference between revisions

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{{Short description|Quantitative relations between some key characteristic dimensions of trees}}

{{expert-subject|Forestry|ex2=Ecology|date=March 2008}}

[[File:Profil du tronc.png|thumb|'''Stem profile measurement''' Electronic equipment (as [[:fr:Field-Map|Field-Map]] for example) is used for stem profile measurements and for measurements of profiles/projections of the crown. These key measurements are used for estimation of carbon sequestered in the plants.]]

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In 2013, the [[Food and Agriculture Organization of the United Nations]] launched [http://www.fao.org/forestry/databases/allometric-equation/en/ GlobAllomeTree], a web-based platform designed to improve global access to tree allometric equations and support forest and climate-change project developers, researchers, scientists and foresters to assess forest volume and biomass, and carbon stocks. Jointly developed by [[FAO]], the French Research Centre [[CIRAD]] and [[Tuscia University]] of Italy, the GlobAllomeTree platform provides a consistent and harmonized database of tree and [[Stand level modelling|stand]] volume and biomass allometric equations; software to compare equations and assess variables of interests, such as volume, biomass and carbon stocks; access to scientific research information on allometric equations; and access to tutorials, manuals and documentation supporting the development and use of tree allometric equations.

In 2012, FAO and CIRAD published a manual for building tree volume and biomass allometric equations for students, technicians or researchers working to assess forest resources such as volume, biomass and carbon stocks for commercial, bioenergy or [[climate change mitigation]] purposes.<ref>[http://www.fao.org/docrep/018/i3058e/i3058e.pdf Picard N., Saint-André L., Henry M. 2012. Manual for building tree volume and biomass allometric equations: from field measurement to prediction. Food and Agricultural Organization of the United Nations, Rome, and Centre de Coopération Internationale en Recherche Agronomique pour le Développement, Montpellier]</ref>

==Methodology==

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The general allometric equation for mathematics and science is

'': <math> Y = β\beta X<sup>α^\alpha </supmath>''

where "''Y"'' is a biological variable (such as tree height or DBH), "''β"'' is a proportionality coefficient, "''α"'' is the scaling exponent (which is equal to the slope of the line when plotted on logarithmic coordinates), and "''X"'' is some physical measure such as body volume or body mass(M). While α is often quite similar between very diverse organisms, ''β'' differs from species to species. Because the proportionality constant(constants ''β)'' and the scaling exponents( ''α)'' are often denoted using Greek letters, it is desirable to use ''β'' as the proportionality coefficient versus ''α'', since α could be misread as the symbol for "proportional".

A well-known allometric equation relates metabolic rate to body mass: ''Y'' = &nbsp;''βM ''&nbsp;3/4.

In [[forestry]] the equation takes on many forms in order to represent relationships between the many various attributes of tree size and growth. Below is an example:

'': <math> Y = b₀b_0 + b<sub>1b_1 X </submath> X''

==See also==

* [[Biomass allocation]]

* [[da Vinci branching rule]]

==References==

{{reflist}}

#[http://www.cazv.cz/attachments/2-Cienciala.pdf Biomass functions applicable to European beech]{{Dead link|date=July 2018 |bot=InternetArchiveBot |fix-attempted=no }} E. CIENCIALA, M. ČERNÝ, J. APLTAUER, Z. EXNEROVÁ, JOURNAL OF FOREST SCIENCE, 51, 2005 (4): p.&nbsp;147–154;

{{Forestry}}