More PA Volumes  

Will, Bob,

On 12/21/07 I volume modeled the Bridle Trail Hemlock using the Macroscope 25.  This was the first tree Iíve measured using this technique where I was able to see that the tree actually was larger in circumference higher up the tree, when compared to lower sections.  Hereís the stats:  

14ft CBH x 118ft high x 792ft^3


Height up          section              monocular         circumference    diameter
ground          length               value                

 1                      1                      N/A                   18.8                  5.99

2                      1                      N/A                   16.6                  5.29

3                      1                      N/A                   15.3                  4.87

4.5                    1.5                    N/A                   14                     4.46

7                      2.5                    N/A                   13.1                  4.17

14.1                  7.1                    2.92                  11.1                  3.53

23.3                  9.2                    2.89                  11.3                  3.61

30                     6.7                    2.67                  10.8                  3.44

33.7                  3.7                    2.74                  11.1                  3.53

54.3                  20.6                  2.18                  9.6                    3.07

59                     4.7                    2                      9.1                    2.9

65.1                  6.1                    2.05                  9.6                    3.05


I used frustum of cone formulas from 1 to 65.1ft, cone formula for the top 52.9ft section, and volume of a cylinder for the bottom section to come up with a total of 792cubes.  

Iím afraid to say this, but I think Iím getting the volume modeling bugÖ this being only the sixth tree Iíve measured using this technique, I figured Iíd try it out on the fat Walnut Creek Beech up in Erie.  I didnít take the macroscope 25 with me, since I figured it wouldnít even be standing anymore (it was cracked almost ľ way through a last time I saw it over a year ago).  To my surprise it was still standing, with no visible crack!  I did get some lower circumference measurements with the tape.  The last time I measured this tree on 2/22/04 I had it to 15.9ft CBH x 119.3ft+ (vertical).  On 12/28/07 I found a better vertical shot to 120.1+ft high and it grew to 16ft CBH.  Hereís the stats:

16ft CBH x 120.1+ft high x 121.4ft^3 (bottom section only)

Height up          section              circumference    diameter            comments
ground          length


2                      2                      19.7                  6.27  couldnít get any lower due to root flare on slope

3                      1                      17.7                  5.64

4.5                    1.5                    16                     5.1

7                      2.5                    13.7                  4.36


Computed volume for the bottom section = 121.4ft^3 (includes base cylinder volume)

If we could assume the entire top was conical (which it wasnít, it split into two decent sections ~50ft up) that would give ~562ft^3.  If we could add those two volumes together, then we could be looking at a 684ft^3 tree.  Just a thought, I donít recal any beech in the macroscope 25 volume database yet.

Iíve got new pics of both trees, but donít have access to them at the moment.


== 2 of 3 ==
Date: Tues, Jan 8 2008 12:06 am


Good show. I note that the multivariate regression equation with 2 independent variables I submitted in an earlier e-mail misses the modeled volume by a huge amount. I think the big miss follows mostly from the use of the cone for the upper 52.9 feet. There may be a dependency of the regression model on a paraboloid shape in the upper reaches of the trunk. Regardless, that regression model is now toast.


== 3 of 3 ==
Date: Tues, Jan 8 2008 5:58 am
From: "Will Blozan"


You have obviously been hanging around too much with others infected with a
similar disease. I'm sorry to say, it is terminal. My sympathies...

No American beech has been measured as far as I know. That thing is HUGE!
Jess and I have modeled tuliptree, northern red oak, yellow buckeye, red
maple, mountain silverbell, cherrybark oak, bald cypress and loblolly pine
so far and Bob may have a few other species.

I'd like to climb that Bridle Trail Hemlock someday, preferably before it
gets HWA.

Great work!