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0

$begingroup$

Any help greatly appreciated!

I want to find the density of trees surrounding a sample point (measured in trees/m$^2$).

The distance from the sample point to the three nearest trees has been measured. I derived tree density via the formulae:

1. mean of the distances between sample points and the 3 nearest trees (in meters)

2. mean area = mean distance $^2$

3. tree density = $frac1 mean area$

e.g. distance between sample point and 3 nearest trees = 1m,2m and 3m
mean distance = 2m, mean area = 4m$^2$, tree density = 0.25 trees/ m$^2$.

However, I found another source that suggested another equation:

Density = √$ fracmean area 2$

There is no explanation why the mean area is over 2.

My question is:

How is the last formulae a valid means of finding density? Surely by square rooting the area/ 2, you find a distance value in metres instead of no. of trees/m$^2$?

What does the number 2 symbolise or function as in this equation?

This would be very helpful to know to help me understand which is the preferable equation to use.

Thanks

functions problem-solving area density-function reduction-formula

share|cite|improve this question

edited Mar 21 at 15:52

BeginnerMathematics

asked Mar 21 at 15:09

BeginnerMathematicsBeginnerMathematics

12

$endgroup$

• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  Welcome to Math.SE! Please format your questions using MathJax. This page should give you a start at learning how to typeset mathematics here so that your posts say what you want them to, and also look good.
  $endgroup$
  – Brian
  Mar 21 at 15:23
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  Thanks for the link to basic MathJax.
  $endgroup$
  – BeginnerMathematics
  Mar 21 at 15:54
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  Upon further research, I found that the 2 value is a conversion factor. This is included in the equation to improve the accuracy of the density calculation.
  $endgroup$
  – BeginnerMathematics
  Mar 22 at 11:58
  

  
  
  
  

add a comment | 

0

$begingroup$

Any help greatly appreciated!

I want to find the density of trees surrounding a sample point (measured in trees/m$^2$).

The distance from the sample point to the three nearest trees has been measured. I derived tree density via the formulae:

1. mean of the distances between sample points and the 3 nearest trees (in meters)

2. mean area = mean distance $^2$

3. tree density = $frac1 mean area$

e.g. distance between sample point and 3 nearest trees = 1m,2m and 3m
mean distance = 2m, mean area = 4m$^2$, tree density = 0.25 trees/ m$^2$.

However, I found another source that suggested another equation:

Density = √$ fracmean area 2$

There is no explanation why the mean area is over 2.

My question is:

How is the last formulae a valid means of finding density? Surely by square rooting the area/ 2, you find a distance value in metres instead of no. of trees/m$^2$?

What does the number 2 symbolise or function as in this equation?

This would be very helpful to know to help me understand which is the preferable equation to use.

Thanks

functions problem-solving area density-function reduction-formula

share|cite|improve this question

edited Mar 21 at 15:52

BeginnerMathematics

asked Mar 21 at 15:09

BeginnerMathematicsBeginnerMathematics

12

$endgroup$

• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  Welcome to Math.SE! Please format your questions using MathJax. This page should give you a start at learning how to typeset mathematics here so that your posts say what you want them to, and also look good.
  $endgroup$
  – Brian
  Mar 21 at 15:23
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  Thanks for the link to basic MathJax.
  $endgroup$
  – BeginnerMathematics
  Mar 21 at 15:54
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  Upon further research, I found that the 2 value is a conversion factor. This is included in the equation to improve the accuracy of the density calculation.
  $endgroup$
  – BeginnerMathematics
  Mar 22 at 11:58
  

  
  
  
  

add a comment | 

$begingroup$

Any help greatly appreciated!

I want to find the density of trees surrounding a sample point (measured in trees/m$^2$).

The distance from the sample point to the three nearest trees has been measured. I derived tree density via the formulae:

1. mean of the distances between sample points and the 3 nearest trees (in meters)

2. mean area = mean distance $^2$

3. tree density = $frac1 mean area$

e.g. distance between sample point and 3 nearest trees = 1m,2m and 3m
mean distance = 2m, mean area = 4m$^2$, tree density = 0.25 trees/ m$^2$.

However, I found another source that suggested another equation:

Density = √$ fracmean area 2$

There is no explanation why the mean area is over 2.

My question is:

How is the last formulae a valid means of finding density? Surely by square rooting the area/ 2, you find a distance value in metres instead of no. of trees/m$^2$?

What does the number 2 symbolise or function as in this equation?

This would be very helpful to know to help me understand which is the preferable equation to use.

Thanks

functions problem-solving area density-function reduction-formula

share|cite|improve this question

edited Mar 21 at 15:52

BeginnerMathematics

asked Mar 21 at 15:09

BeginnerMathematicsBeginnerMathematics

12

$endgroup$

share|cite|improve this question

edited Mar 21 at 15:52

BeginnerMathematics

asked Mar 21 at 15:09

BeginnerMathematicsBeginnerMathematics

12

share|cite|improve this question

edited Mar 21 at 15:52

BeginnerMathematics

asked Mar 21 at 15:09

BeginnerMathematicsBeginnerMathematics

12

asked Mar 21 at 15:09

BeginnerMathematicsBeginnerMathematics

12

asked Mar 21 at 15:09

BeginnerMathematicsBeginnerMathematics

12