Resource assessment exercises: introduction to response designs

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{{info|message=What the function <code>tapply()</code> does|text=The function <code>tapply(x, group, function)</code>  applies a <code>function</code> to values in a group. In the last code example we looked at the variable <code>ba</code> of <code>trees</code>. The grouping variable is <code>stratum</code>. For all values <code>ba</code> in each group (i.e., stratum) we apply a function. The argument <code>x</code> in <code>function(x)</code> stands for the values in group $i$. The sum is taken for all the values in the group and then divided by 25. <code>tapply(trees$dbh,trees$stratum, mean)</code>| would give us the mean of <code>dbh</code> in each stratum.}}  
 
{{info|message=What the function <code>tapply()</code> does|text=The function <code>tapply(x, group, function)</code>  applies a <code>function</code> to values in a group. In the last code example we looked at the variable <code>ba</code> of <code>trees</code>. The grouping variable is <code>stratum</code>. For all values <code>ba</code> in each group (i.e., stratum) we apply a function. The argument <code>x</code> in <code>function(x)</code> stands for the values in group $i$. The sum is taken for all the values in the group and then divided by 25. <code>tapply(trees$dbh,trees$stratum, mean)</code>| would give us the mean of <code>dbh</code> in each stratum.}}  
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==Related pages==
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* Previous page: [[Resource assessment exercises: resource assessment basics additional exercises|Resource assessment basics additional exercises]]
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* Next page: [[Resource assessment exercises: fixed area plots|Fixed area plots]]
  
 
==References==
 
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[[category:Response designs in resource assessment (2014)|Introduction to response designs]]

Revision as of 15:59, 23 June 2014

In the introduction we mentioned that in forest inventories we usually do not sample individual trees. In this section we will have a look at different response designs. These include fixed area, nested fixed area plots, and plots of variable size. For other types of observation units see, e.g. Gregoire & Valentine (2008)[1], and Kleinn (2013) [2].


Our target parameter will be the basal area (BA) ha\(^{-1}\). The BA in square meters (m\(^{2}\)) of a single tree, i.e., the cross-section of a tree trunk, is defined as,


$\text{BA}=\frac{\pi\times(\text{DBH}/2)^2}{10000}$ 1


Here, the DBH is given in centimeters, and we, therefore, have to divide by 10,000. The BA ha\(^{-1}\) for the simulated forest is

      

trees$ba <- (pi * (trees$dbh/2)^2)/10000
sum(trees$ba)/50 # the area of the forest is 50 hectares

## [1] 28.66
    
tapply(trees$ba, trees$stratum, function(x) sum(x)/25) # per stratum
##     1     2 
## 13.95 43.36


info.png What the function sum() does
the function sum(x) simply takes the sum of x. To get the sums of columns and rows use colSums() and rowSums(), respectively.


info.png What the function tapply() does
The function tapply(x, group, function) applies a function to values in a group. In the last code example we looked at the variable ba of trees. The grouping variable is stratum. For all values ba in each group (i.e., stratum) we apply a function. The argument x in function(x) stands for the values in group $i$. The sum is taken for all the values in the group and then divided by 25. tapply(trees$dbh,trees$stratum, mean)

Related pages

References

  1. Gregoire, T.G., Valentine, H.T., 2008. Sampling Strategies for Natural Resources And The Environment, Applied Environmental Statistics. Chapman & Hall/CRC.
  2. Kleinn, C., 2013. Lecture Notes for the Teaching Module Forest Inventory.
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