Talk:Basal area

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the area of the cross-section of a tree at breast height (about 4.5 feet above ground) usually expressed in square feet. Often used to measure density. Can be used to describe a single tree or the sum of an entire area.

{categorization=ecology}

some stuff to be added

Latest comment: 11 years ago1 comment1 person in discussion

here are some maths for forestry notes, if someone has time they can use them and add them in here with links:

Volume=〖DBH〗^2*π/4*H*Formfactor+/- 10%Volume= 〖DBH〗^2/1000 +/- 30%DBH = PBH/πCylinder r = 0Paraboloid r = 1Cone r = 2Neiloid r = 3g_x=p*x^rTree HeightGeometryTrigonometry b/((a-b))= B/((A-B)) a:b=A:B H=D*(tan⁡〖( α)+tan⁡〖( β))〗〗Apparent Heighth^'=h_up-h_down

Real Heighth=h^'*〖Cos〗^2 (α) Standard Deviation (s, sx, SD) also called quadratic mean and RMSSD=√((X┴- )^2-(X┴- )^2/n)/n Population Standard Deviation (s, sx, SD)SD=√((X┴- )^2-(X┴- )^2/n)/(n-1) IT IS REPORTED WITH THE MEAN AS X┴-±S_XX┴- = arithmetic mean (the mean of the sample)μ = true mean (the mean of the whole population)Standard Error (SE, S_(X┴- ))S_(X┴- )=〖S_X〗_ /√n Confidence IntervalCI=n=(SX/(S X┴- ))^(2 )*((C%X)/(C%X┴- ))^2

r_"α" =(r*h)/(Cos α)

FIXED AREA PLOTBlow-up-Factor〖BF〗_ha=n/〖ha〗_rep = (10 000)/〖Area〗_plot 10 000=1haSo 1 tree in the plot represents 10 000 〖Area〗_plottrees/ha1m³ within the plot represents 10 000 〖Area〗_plotm³/haANGLE COUNTBAF = ((50 * DBH)/R)^2 LEADS TO R=(50*DBH)/√BAF

Basal Area of a Tree is the area of a given section of land that is occupied by the cross-section of tree trunks:BA = DBH²*π/4 (NB for DBH in cm BA=0.0000 7854 *DBH²) result in m² per haThe basal area of a forest stand can be found by adding the basal areas (as calculated above) of all of the trees in an area and dividing by the area of land in which the trees were measured.The plot area big enough for the tree to be counted isA=R²*πSo the basal area density is the BAF

BAF[m²〖ha〗^(-1) ]=10 000*ba/A=10 000*(DBH^2*π/4)/((DBH/(W/L))^2*π)=(10 000)/4*(W/L)^2=((50*W)/L)^2Each tree in ACS represents the same BAF m² per hectare.Represented number of trees

n_rep=BAF/BA=BAF/(DNH²*π/4)

Represented volumeV_rep=n_rep*v_tree=BAF/BA*BA*h*ff=BAF*fh — Preceding unsigned comment added by 141.244.80.133 (talk) 18:43, 21 January 2013 (UTC)

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