Blume-Leiss

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{{construction}}
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{{Ficontent}} {{video|link=https://youtu.be/EahhlAazK1Y}}
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==General description==
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The Blume Leiss is developed to measure slope and [[tree height]] by [[the trigonometric principle]]. The device measures the elevation angle between the operator and measured points. Tree heights can directly be read from the device depending on fixed distances of 15m, 20m, 30m and 40m. For mountainous areas [[Fixed_area_plots#Slope_correction|slope correction]] factors can directly be read from the device depending on the slope.
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Figure 1 shows the front side of the device including:
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* example for the viewing while measuring distance with the vertical base measure,
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* the scales of height measurement for the fixed distances to the tree (15, 20, 30 and 40m) and
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* scale for slope measurement in °.
  
 
 
==General description==
 
The Blume Leiss is developed to measure slope and [[tree heights]] by the [[trigonometric principle]]. The device measures the elevation angle between the operator and measured points. Tree heights can directly be read from the device depending on fixed distances of 15m, 20m, 30m and 40m. For mountainous areas [[Fixed_area_plots|Slope_correction|slope correction]] factors can directly be read from the device depending on the slope.
 
Figure 1 shows the scales of height measurement for the fixed distances to the tree and the scale for slope measurement. This Blume Leiss type is called BL6, which contains 2 buttons which can separately be locked to measure tree bottom and top.
 
 
 
 
<gallery widths=300px heights=300px>
 
<gallery widths=300px heights=300px>
 
file: blume-leiss01_portrait-01_messung.jpg|Figure 1: Blume Leiss front (result of an measurement)
 
file: blume-leiss01_portrait-01_messung.jpg|Figure 1: Blume Leiss front (result of an measurement)
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</gallery>
 
</gallery>
  
The optical rangefinder (figure 2) allows the user to measure the distance to the tree. Figure 2 shows the backside of the device where information
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In this example the type of the device (BL6) has two buttons two separately lockable needles (figure 1), so that the height between the operator and the stem foot / tree crown can directly be read. The difference between the measurements will be tree height <math>h_t</math>:
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<math>
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h_t=h_c-h_b
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</math>
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If  the slope is larger than 5 degrees, the tree heights need to be corrected by the formula $CF=\cos\alpha_i$. This correction factor (CF) has to be  multiplied with the measured tree height (since we measured a slope distance and not the horizontal distance to the tree). The correction factor on the backside of the instrument assumes that the distance is measured optical (the inbuild prism) and is $CF=(\cos\alpha_i)^2$. This is because we have an inclined view on the levelling bord.
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The optical rangefinder (figure 2) allows the user to measure the distance to the tree by mirroring a picture of the levelling board. Figure 2 shows the backside of the device where information is given about:
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*Height caluation
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**b-a=h (slope > 5° - viewing downwards)
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**a+b=H (slope < 5° - viewing horizontal)
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**a-b=h (slope > 5° - viewing upwards)
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*Correction factors
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**correction factor depending on slope in °
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**slope in ° depending on slope in %
  
 
==Handling==
 
==Handling==
In figure 1 you can read the vertical height between the actor, the bottom and the top of the tree. To measure the angle of slope, the 0-mark of the levelling board (figure 3a) has to be focussed. Than one of the buttons need to be locked.
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===Distance measurement===
The distances to the tree can relatively easy be measured through the optical rangefinder (figure 2) focussing the scale bar see (figure 3b).
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# Determine an optimal distance to the tree by checking the visibility of the tree bottom and tree top within the forest stand,
[Figure 3b] gives a live view while focussing the levelling board – the distance is correct, when the mid mark of the left  picture is congruent with the top of the right picture of the levelling  board (in this example it is 15m).  
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# Place the vertical base measure at the tree,
 
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# Find the correct fixed distance using the optical range finder by focusing the distance leveling board (figure 3b) and move closer or farther to the tree, until the top of the mirrored picture of the base is coincident with the corresponding mark on the original picture - in this example, the mid mark of the leveling corresponds to a distance of 15m (alternatively a tape measure can be used to find the correct fixed distance).
<gallery widths=300px heights=300px>
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file: blume-leiss03_distance-leveling-board.jpg|Figure 3a: Distance levelling board
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file: blume-leiss03_distance-measurement.jpg|Figure 3b: live view through rangefinder
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</gallery>
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When the distance to the tree is correct, the tree height can be measured by focussing the bottom of the trunk (figure 4a) and the crown (figure 4b).
 
 
 
 
<gallery widths=300px heights=300px>
 
<gallery widths=300px heights=300px>
file: blume-leiss04_mess-baumfuss_markiert.jpg|thumb|300px|Figure 4a: live view measuring tree bottom
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file: blume-leiss03_distance-leveling-board.jpg|Figure 3a: Vertical base fixed at the tree
file: blume-leiss05_mess-krone_markiert.jpg|thumb|300px|Figure 4b: live view measuring tree crown
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file: blume-leiss03_distance-measurement.jpg|Figure 3b: live view through range finder. The white strips of the mirrored and original picture of the base must coincide to find the respective fixed distance.
 
</gallery>
 
</gallery>
  
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===Height measurement===
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# Focus the bottom of the tree (figure 4a) and lock the pendulum,
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# Focus the top of the tree (figure  4b) and lock the second pendulum,
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# The front side of the device (figure 1) shows two height values - the height can directly be derived by the formulas described above, depending on the slope
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# Correct the derived height if necessary
  
In this example the type of the device (BL6) has two lockable buttons with two separate needles (figure 1), so that the tree height between the actor and the tree bottom/tree crown can directly be read
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===Slope measurement===
The difference between the measurements will be tree height –
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# Sight at the zero mark of the levelling board and lock the needle
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# The slope in ° can directly be read from the scale (figure 1)
  
:<math> {h_t} = {h_c} - {h_b} </math>.
 
  
If the slope is larger than 5 degrees, the tree heights need to be corrected by the formula e*tan αi. This correction factor (CF) has to be multiplied with the tree height.
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<gallery widths=300px heights=300px>
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file: blume-leiss04_mess-baumfuss_markiert.jpg|Figure 4a: live view measuring tree bottom
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file: blume-leiss05_mess-krone_markiert.jpg|Figure 4b: live view measuring tree crown
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</gallery>
  
When measuring with Blume Leiss, you need to observe the pendulum check mark to be sure, that the pendulum has stopped oscillating before locking the button.
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{{info
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|message=Note:
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|text= When measuring with Blume Leiss, you need to observe the pendulum check mark to be sure, that the pendulum has stopped oscillating before locking the button. All scales are visible at once - be careful of taking the necessary scale.
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}}
  
 
{| class="wikitable"
 
{| class="wikitable"
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|-
 
|-
 
|slope correction implemented
 
|slope correction implemented
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|dependance on fixed scales
 
|-
 
|-
 
|optical distance measurement
 
|optical distance measurement
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* [[The trigonometric principle]]
 
* [[The trigonometric principle]]
 
* [[Bitterlich sampling]]
 
* [[Bitterlich sampling]]
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{{Studienbeiträge}}
[[Category:]]
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[[Category:Clinometer]]

Latest revision as of 09:28, 12 March 2021

video.png Available as video tutorial!

Contents

[edit] General description

The Blume Leiss is developed to measure slope and tree height by the trigonometric principle. The device measures the elevation angle between the operator and measured points. Tree heights can directly be read from the device depending on fixed distances of 15m, 20m, 30m and 40m. For mountainous areas slope correction factors can directly be read from the device depending on the slope. Figure 1 shows the front side of the device including:

  • example for the viewing while measuring distance with the vertical base measure,
  • the scales of height measurement for the fixed distances to the tree (15, 20, 30 and 40m) and
  • scale for slope measurement in °.

In this example the type of the device (BL6) has two buttons two separately lockable needles (figure 1), so that the height between the operator and the stem foot / tree crown can directly be read. The difference between the measurements will be tree height \(h_t\)\[ h_t=h_c-h_b \]

If the slope is larger than 5 degrees, the tree heights need to be corrected by the formula $CF=\cos\alpha_i$. This correction factor (CF) has to be multiplied with the measured tree height (since we measured a slope distance and not the horizontal distance to the tree). The correction factor on the backside of the instrument assumes that the distance is measured optical (the inbuild prism) and is $CF=(\cos\alpha_i)^2$. This is because we have an inclined view on the levelling bord.

The optical rangefinder (figure 2) allows the user to measure the distance to the tree by mirroring a picture of the levelling board. Figure 2 shows the backside of the device where information is given about:

  • Height caluation
    • b-a=h (slope > 5° - viewing downwards)
    • a+b=H (slope < 5° - viewing horizontal)
    • a-b=h (slope > 5° - viewing upwards)
  • Correction factors
    • correction factor depending on slope in °
    • slope in ° depending on slope in %

[edit] Handling

[edit] Distance measurement

  1. Determine an optimal distance to the tree by checking the visibility of the tree bottom and tree top within the forest stand,
  2. Place the vertical base measure at the tree,
  3. Find the correct fixed distance using the optical range finder by focusing the distance leveling board (figure 3b) and move closer or farther to the tree, until the top of the mirrored picture of the base is coincident with the corresponding mark on the original picture - in this example, the mid mark of the leveling corresponds to a distance of 15m (alternatively a tape measure can be used to find the correct fixed distance).

[edit] Height measurement

  1. Focus the bottom of the tree (figure 4a) and lock the pendulum,
  2. Focus the top of the tree (figure 4b) and lock the second pendulum,
  3. The front side of the device (figure 1) shows two height values - the height can directly be derived by the formulas described above, depending on the slope
  4. Correct the derived height if necessary

[edit] Slope measurement

  1. Sight at the zero mark of the levelling board and lock the needle
  2. The slope in ° can directly be read from the scale (figure 1)



info.png Note:
When measuring with Blume Leiss, you need to observe the pendulum check mark to be sure, that the pendulum has stopped oscillating before locking the button. All scales are visible at once - be careful of taking the necessary scale.
Advantages Disadvantages
slope correction implemented dependance on fixed scales
optical distance measurement fixed distances to the tree (could be difficult in closed forest stands)
independence of power sources (no batteries needed) in dark forest stand optical measurement is difficult
no digital storage of measurement results available.

[edit] Applications


[edit] Related articles

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