Micro-mechanics of failure: Difference between revisions

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In [[Forestry]], '''Quadratic mean diameter''' or QMD is a measure of [[Central tendency]] which is considered more appropriate than [[Arithmetic mean]] for characterizing the group of trees which have been measured. For ''n'' trees, QMD is calculated as:
 
<math> \sqrt {\frac{\sum{D_i}^{2}}{n}} </math>
where <math> {D_i}</math> is the [[Diameter at breast height]] of the ''i<sup>th</sup>'' tree. Compared to the arithmetic mean, QMD assigns greater weight to larger trees - QMD is always greater than or equal to arithmetic mean for a given set of trees. QMD can be used in [[timber cruise]]s to estimate the standing volume of timber in a forest, because it has the practical advantage of being directly related to [[Basal area]], which in turn is directly related to volume. <ref>{{Citation
| title = Why quadratic mean diameter?
  | url = http://www.cnr.uidaho.edu/for274new/pdfs/s6.pdf
| year = 2000
| journal = Western Journal of Applied Forestry
| pages = 137–139
| volume = 15
| issue = 3
| last1 = Curtis | first1 =  Robert O.
| last2 =  Marshall | first2 =  David D.
| accessdate = 2012-06-13 }}</ref>
QMD can also be calculated as:
 
<math> \sqrt {\frac{BA}{k * n}} </math>
 
where BA is stand basal area, n is the number of trees, and k is a constant based on measurement units - for BA in ft<sup>2</sup> and DBH in inches, k=0.005454; for BA in m<sup>2</sup> and DBH in cm, k=0.0000785.
 
==References==
{{Reflist}}
 
{{forestry-stub}}
[[Category:Forest modelling]]

Revision as of 19:14, 19 December 2013

In Forestry, Quadratic mean diameter or QMD is a measure of Central tendency which is considered more appropriate than Arithmetic mean for characterizing the group of trees which have been measured. For n trees, QMD is calculated as:

Di2n

where Di is the Diameter at breast height of the ith tree. Compared to the arithmetic mean, QMD assigns greater weight to larger trees - QMD is always greater than or equal to arithmetic mean for a given set of trees. QMD can be used in timber cruises to estimate the standing volume of timber in a forest, because it has the practical advantage of being directly related to Basal area, which in turn is directly related to volume. [1] QMD can also be calculated as:

BAkn

where BA is stand basal area, n is the number of trees, and k is a constant based on measurement units - for BA in ft2 and DBH in inches, k=0.005454; for BA in m2 and DBH in cm, k=0.0000785.

References

43 year old Petroleum Engineer Harry from Deep River, usually spends time with hobbies and interests like renting movies, property developers in singapore new condominium and vehicle racing. Constantly enjoys going to destinations like Camino Real de Tierra Adentro.

Template:Forestry-stub

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