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by Klaus Puettmann & Mike Saundersby Klaus Puettmann & Mike SaundersDepartment of Forest Resources, University of MinnesotaDepartment of Forest Resources, University of Minnesota
A New Tool for A New Tool for White Spruce White Spruce Management:Management:
Density Management Density Management GuidesGuides
Density (Trees/Acre)
100 200 500 1000 2000
Qu
adra
tic
Mea
n D
iam
eter
(in
ches
)
1
2
4
6
8
10
12
14
161820
A
B
C
D
A Maximum Size-Density Line
B Mortality Initiation Line
C Maximum Stand Production Initiation Line
D Crown Closure Line
Management Zone = Fully Stocked
Density (Trees/Acre)
100 200 500 1000 2000
Qu
adra
tic
Mea
n D
iam
eter
(in
ches
)
1
2
4
6
8
10
12
14
161820
A
B
C
D
A Maximum Size-Density Line
B Mortality Initiation Line
C Maximum Stand Production Initiation Line
D Crown Closure Line
Management Zone = Fully Stocked
AcknowledgementsAcknowledgements This work was funded by Forest
Health Funds through the Northeastern Area State & Private Forestry branch of the U.S. Forest Service.
Special thanks goes to: Glen Erickson, N.C.F.E.S., USFS Chris Peterson, UPM-Blandin Mike Albers, MNDNR Al Jones, MNDNR Steve Katovich, S&P Forestry, USFS
OutlineOutline Basic DMD Theory
A White Spruce DMD
Methodology & Development
Preliminary Results
Application to Management
Conclusions
Q & A
Density management can Density management can be managed through:be managed through:
Planting, site preparation, # of seed trees
Release and TSI
Thinning
A cultural treatment made to reduce stand density of trees primarily to improve growth, enhance forest health, or to recover potential mortality
Den
sity
Age
Density as a function of age
Dia
mete
r
Age
Tree size as a function of age
Dia
mete
r
Density
Putting those two pieces together:
Diameter as a function of density
log
Dia
mete
r
log Density
Take log of density and diameter
log
Dia
mete
r
log Density
Lines approach a maximum line = self-thinning line
self-thinning line
A White Spruce DMD:A White Spruce DMD:
Preliminary ResultsPreliminary Results
Fully Stocked
Density (Trees/Acre)
100 200 500 1000 2000
Quadra
tic
Mean D
iam
ete
r (i
nch
es)
1
2
4
6
8
10
12
14161820
A
B
C
D
A Maximum Size-Density Line
B Mortality Initiation Line
C Maximum Stand Production Initiation Line
D Crown Closure Line
Management Zone
White White Spruce Spruce
DMD for DMD for the Lake the Lake StatesStates
OverstockedUnderstocked
Example Example 1: 1: Plotting Plotting
A Stand A Stand TrajectoryTrajectory
Density (Trees/Acre)100 200 500 1000 2000
Quadra
tic
Mean D
iam
ete
r (i
nch
es)
1
2
4
6
8
10
12
14161820
A
B
C
D
Age DBHq TPA
10 2.0 1500
20 4.0 1500
30 6.0 1000
40 7.0 800
50 8.0 600
Age 10
Age 20
Age 40
Age 30
Age 50
Stand Trajectories:Stand Trajectories:Unmanaged StandsUnmanaged Stands
Unmanaged stands can follow one of two general trajectories, depending on whether or not ingrowth is included in stand measurements.
Example Example 2: 2:
Unmanaged Unmanaged Stand Stand
TrajectoriesTrajectorieswithout without
IngrowthIngrowth
Density (Trees/Acre)100 200 500 1000 2000
Quadra
tic
Mean D
iam
ete
r (i
nch
es)
1
2
4
6
8
10
12
14161820
A
B
C
D
Example Example 3: 3:
Unmanaged Unmanaged Stand Stand
Trajectory Trajectory with with
IngrowthIngrowth
Density (Trees/Acre)100 200 500 1000 2000
Quadra
tic
Mean D
iam
ete
r (i
nch
es)
1
2
4
6
8
10
12
14161820
A
B
C
D
w/o Ingrowthw/ Ingrowth
Stand Trajectories:Stand Trajectories:Unmanaged Stands (cont.)Unmanaged Stands (cont.)
Regardless of site quality or age, unmanaged stands of the same initial density will approximately follow the same stand trajectory.
However, the higher quality stand will move along a given density trajectory faster than a lower quality stand of the same initial density.
DMDs as Management Tools DMDs as Management Tools II
There are several ways that you can use DMDs for decision-making.
In the simplest case, you can use it to determine if a stand will develop to a desired minimum harvest diameter without thinning.
Example Example 4: 4: To To
Thin or Not Thin or Not to Thin?to Thin?
Density (Trees/Acre)100 200 500 1000 2000
Quadra
tic
Mean D
iam
ete
r (i
nch
es)
1
2
4
6
8
10
12
14161820
A
B
C
D
Let’s say we measure a stand and find that is has a density of 500 tpa
and a DBHq
of 4.0”.
Example Example 4: 4: To To
Thin or Not Thin or Not to Thin?to Thin?
Density (Trees/Acre)100 200 500 1000 2000
Quadra
tic
Mean D
iam
ete
r (i
nch
es)
1
2
4
6
8
10
12
14161820
A
B
C
D
We plot the point on the DMD.
Example Example 4: 4: To To
Thin or Not Thin or Not to Thin?to Thin?
Density (Trees/Acre)100 200 500 1000 2000
Quadra
tic
Mean D
iam
ete
r (i
nch
es)
1
2
4
6
8
10
12
14161820
A
B
C
D
Now assume we are managing for pulpwood and need a mean diameter of 8” at harvest.
Do we need to thin?
Example Example 4: 4: To To
Thin or Not Thin or Not to Thin?to Thin?
Density (Trees/Acre)100 200 500 1000 2000
Quadra
tic
Mean D
iam
ete
r (i
nch
es)
1
2
4
6
8
10
12
14161820
A
B
C
D
No.
This stand will have little mortality before it
reaches a DBHq
of 8”.
Example Example 4: 4: To To
Thin or Not Thin or Not to Thin?to Thin?
Density (Trees/Acre)100 200 500 1000 2000
Quadra
tic
Mean D
iam
ete
r (i
nch
es)
1
2
4
6
8
10
12
14161820
A
B
C
D
Now assume we need a mean diameter of 12” at harvest.
Do we need to thin?
Example Example 4: 4: To To
Thin or Not Thin or Not to Thin?to Thin?
Density (Trees/Acre)100 200 500 1000 2000
Quadra
tic
Mean D
iam
ete
r (i
nch
es)
1
2
4
6
8
10
12
14161820
A
B
C
D
Yes, the stand will develop only to about 7” before it crosses the B Line and mortality begins.
Example Example 4: 4: To To
Thin or Not Thin or Not to Thin?to Thin?
Density (Trees/Acre)100 200 500 1000 2000
Quadra
tic
Mean D
iam
ete
r (i
nch
es)
1
2
4
6
8
10
12
14161820
A
B
C
D
We should schedule a thinning approximately
when the DBHq
is 7-8”.
DMDs as Management Tools DMDs as Management Tools IIII
Another way that DMDs can be used is for both scheduling and determining the intensity of a thin.
Example Example 5: 5: When When and How and How Much?Much?
Density (Trees/Acre)100 200 500 1000 2000
Quadra
tic
Mean D
iam
ete
r (i
nch
es)
1
2
4
6
8
10
12
14161820
A
B
C
D
Reviewing the last example, we determined that our stand would grow to 7” before it crossed the B Line and mortality began.
Example Example 5: 5: When When and How and How Much?Much?
Density (Trees/Acre)100 200 500 1000 2000
Quadra
tic
Mean D
iam
ete
r (i
nch
es)
1
2
4
6
8
10
12
14161820
A
B
C
D
At this point, we determined that we needed to thin.
But how intense should the thin be?
Example Example 5: 5: When When and How and How Much?Much?
Density (Trees/Acre)100 200 500 1000 2000
Quadra
tic
Mean D
iam
ete
r (i
nch
es)
1
2
4
6
8
10
12
14161820
A
B
C
D
Well, as we look at the graph the B Line crosses 12” at about 175 tpa.
Example Example 5: 5: When When and How and How Much?Much?
Density (Trees/Acre)100 200 500 1000 2000
Quadra
tic
Mean D
iam
ete
r (i
nch
es)
1
2
4
6
8
10
12
14161820
A
B
C
D
Therefore, we should remove about 300 tpa.
Example Example 5: 5: When When and How and How Much?Much?
Density (Trees/Acre)100 200 500 1000 2000
Quadra
tic
Mean D
iam
ete
r (i
nch
es)
1
2
4
6
8
10
12
14161820
A
B
C
D
This will allow the stand to develop to 11” before it crosses the B Line.
We can accept the small amount of mortality beyond that.
Plotting a ThinPlotting a Thin
Low thins remove the smallest trees are from the stand, thereby
increasing the DBHq after the thin.
By the same token, a high thin will
reduce the DBHq and a mechanical
thin will have no effect on DBHq.
Plotting a Thin (cont.)Plotting a Thin (cont.)
Therefore, the type of thin will determine if the trajectory has positive, negative, or no slope, based on how it
affects DBHq.
Low thin
Mechanical thin
High thin
Plotting a Thin (cont.)Plotting a Thin (cont.)
Heavy low thin
Light low thin
The intensity of the thin then determines the length and the amount of upward or downward slope of the lines.
DMDs as Management Tools DMDs as Management Tools IIIIII
DMDs can also be used for determining initial planting density.
Example Example 6: 6: How How
many trees many trees to plant?to plant?
Density (Trees/Acre)100 200 500 1000 2000
Quadra
tic
Mean D
iam
ete
r (i
nch
es)
1
2
4
6
8
10
12
14161820
A
B
C
D
To use the DMD this way, we have to work backwards from harvest.
Example Example 6: 6: How How
many trees many trees to plant?to plant?
Density (Trees/Acre)100 200 500 1000 2000
Quadra
tic
Mean D
iam
ete
r (i
nch
es)
1
2
4
6
8
10
12
14161820
A
B
C
D
Let’s assume that we want a final harvest
DBHq of 10”.
Example Example 6: 6: How How
many trees many trees to plant?to plant?
Density (Trees/Acre)100 200 500 1000 2000
Quadra
tic
Mean D
iam
ete
r (i
nch
es)
1
2
4
6
8
10
12
14161820
A
B
C
D
By looking where the B Line crosses 10”, we estimate final density to be about 250 tpa.
Example Example 6: 6: How How
many trees many trees to plant?to plant?
Density (Trees/Acre)100 200 500 1000 2000
Quadra
tic
Mean D
iam
ete
r (i
nch
es)
1
2
4
6
8
10
12
14161820
A
B
C
D
Therefore, assuming that we will do only 1 thin and remove about 50% of the trees…
Example Example 6: 6: How How
many trees many trees to plant?to plant?
Density (Trees/Acre)100 200 500 1000 2000
Quadra
tic
Mean D
iam
ete
r (i
nch
es)
1
2
4
6
8
10
12
14161820
A
B
C
D
… initial planting density should be around 500 tpa.
Example Example 6: 6: How How
many trees many trees to plant?to plant?
Density (Trees/Acre)100 200 500 1000 2000
Quadra
tic
Mean D
iam
ete
r (i
nch
es)
1
2
4
6
8
10
12
14161820
A
B
C
D
If you would thin more heavily or if you accepted some mortality near harvest, planting density would increase.
Example Example 6: 6: How How
many trees many trees to plant?to plant?
Density (Trees/Acre)100 200 500 1000 2000
Quadra
tic
Mean D
iam
ete
r (i
nch
es)
1
2
4
6
8
10
12
14161820
A
B
C
D
Also, you may wish to plant more if you can estimate seedling mortality (before they would show up on DMD).
DMDs as Management Tools DMDs as Management Tools IVIV
Now, we can incorporate several of these applications to look at a more complex case.
DMDs as Management Tools DMDs as Management Tools IVIV
Let’s assume the following:
1. The current density is 1200 tpa (6’ X 6’)
and the current DBHq is 1.5”.
2. Our minimum harvest diameter is 14”.
3. We have a budget to allow for two thins, and one may be precommercial.
4. We can accept 10% mortality in the stand before we will thin or harvest.
DMDs as Management Tools DMDs as Management Tools IVIV
So, the questions are:
1. When, in terms of DBHq, should we
schedule thinnings?
2. What type of thinnings should we use?
3. Can we make some predictions of the intensity of the thinnings required?
Going to the chart …Going to the chart …
Example Example 7: 7:
Planning an Planning an entire entire
rotationrotation
Density (Trees/Acre)100 200 500 1000 2000
Quadra
tic
Mean D
iam
ete
r (i
nch
es)
1
2
4
6
8
10
12
14161820
A
B
C
D
First, let’s plot the initial stand conditions.
Example Example 7: 7:
Planning an Planning an entire entire
rotationrotation
Density (Trees/Acre)100 200 500 1000 2000
Quadra
tic
Mean D
iam
ete
r (i
nch
es)
1
2
4
6
8
10
12
14161820
A
B
C
D
This stand should develop without much mortality until it approaches the B Line.
Example Example 7: 7:
Planning an Planning an entire entire
rotationrotation
Density (Trees/Acre)100 200 500 1000 2000
Quadra
tic
Mean D
iam
ete
r (i
nch
es)
1
2
4
6
8
10
12
14161820
A
B
C
D
At this point, the stand could be thinned, but the trees are still small.
Example Example 7: 7:
Planning an Planning an entire entire
rotationrotation
Density (Trees/Acre)100 200 500 1000 2000
Quadra
tic
Mean D
iam
ete
r (i
nch
es)
1
2
4
6
8
10
12
14161820
A
B
C
D
We could either:
1. Thin the trees now precommercially; or
2. Wait a few years until trees are larger.
I chose #2.
Example Example 7: 7:
Planning an Planning an entire entire
rotationrotation
Density (Trees/Acre)100 200 500 1000 2000
Quadra
tic
Mean D
iam
ete
r (i
nch
es)
1
2
4
6
8
10
12
14161820
A
B
C
D
We wait until the stand develops to a
DBHq of 6” and
a density of 1000 tpa.
Example Example 7: 7:
Planning an Planning an entire entire
rotationrotation
Density (Trees/Acre)100 200 500 1000 2000
Quadra
tic
Mean D
iam
ete
r (i
nch
es)
1
2
4
6
8
10
12
14161820
A
B
C
D
At this size, a mechanical thin removing every other row is most appropriate.
Example Example 7: 7:
Planning an Planning an entire entire
rotationrotation
Density (Trees/Acre)100 200 500 1000 2000
Quadra
tic
Mean D
iam
ete
r (i
nch
es)
1
2
4
6
8
10
12
14161820
A
B
C
D
Now, the stand will develop to
about 7” DBHq
before crossing the B Line.
Example Example 7: 7:
Planning an Planning an entire entire
rotationrotation
Density (Trees/Acre)100 200 500 1000 2000
Quadra
tic
Mean D
iam
ete
r (i
nch
es)
1
2
4
6
8
10
12
14161820
A
B
C
D
Again, I am going to wait for the stand to develop further and accept some mortality.
Example Example 7: 7:
Planning an Planning an entire entire
rotationrotation
Density (Trees/Acre)100 200 500 1000 2000
Quadra
tic
Mean D
iam
ete
r (i
nch
es)
1
2
4
6
8
10
12
14161820
A
B
C
D
Now, at a DBHq
of 8.5”, we have to thin, but…
What kind?What kind?
and…
How intense?How intense?
Example Example 7: 7:
Planning an Planning an entire entire
rotationrotation
Density (Trees/Acre)100 200 500 1000 2000
Quadra
tic
Mean D
iam
ete
r (i
nch
es)
1
2
4
6
8
10
12
14161820
A
B
C
D
To answer these questions, we need to figure out what the final harvest density will be.
Example Example 7: 7:
Planning an Planning an entire entire
rotationrotation
Density (Trees/Acre)100 200 500 1000 2000
Quadra
tic
Mean D
iam
ete
r (i
nch
es)
1
2
4
6
8
10
12
14161820
A
B
C
D
At a harvest
DBHq of 14”,
there will be about 125-150 tpa.
Example Example 7: 7:
Planning an Planning an entire entire
rotationrotation
Density (Trees/Acre)100 200 500 1000 2000
Quadra
tic
Mean D
iam
ete
r (i
nch
es)
1
2
4
6
8
10
12
14161820
A
B
C
D
If we thin to about 150 tpa, we would remove about 2/3 of the trees.
Example Example 7: 7:
Planning an Planning an entire entire
rotationrotation
Density (Trees/Acre)100 200 500 1000 2000
Quadra
tic
Mean D
iam
ete
r (i
nch
es)
1
2
4
6
8
10
12
14161820
A
B
C
D
This would require a very intense thin, most likely a low thin that would select for the best crop trees.
Example Example 7: 7:
Planning an Planning an entire entire
rotationrotation
Density (Trees/Acre)100 200 500 1000 2000
Quadra
tic
Mean D
iam
ete
r (i
nch
es)
1
2
4
6
8
10
12
14161820
A
B
C
D
Now, the stand should develop to a harvest
DBHq of 14”
w/o significant mortality.
CautionsCautions
Although DMD are very useful, there are some cautions about their application one should be aware of:
1. No temporal component
2. Only density-dependent mortality
3. Only as good as the data that formed them
4. Should be applied cautiously outside there intended purpose
Cautions (cont.)Cautions (cont.)
Our white spruce DMD should be Our white spruce DMD should be
primarily used to determine the primarily used to determine the
timings of 1timings of 1stst thinnings in white thinnings in white
spruce plantations.spruce plantations.
Application to larger diameter stands and to natural stands should be done cautiously.cautiously.
Conclusions:Conclusions:
Where do we go from here?Where do we go from here?
Future Development IFuture Development I
There are several things ways we are trying to improve this DMD:
1. Finding data from more stands that will improve the accuracy of the DMD
across a wider range of DBHq sizes and
densities.
Future Development IIFuture Development II
There are several things ways we are trying to improve this DMD:
2. Installing a long-term thinning study to:
a) Refine placement of B and C lines
b) Incorporate effects of budworm on growth as well as isolate size-density combinations most prone to budworm damage
Example: Example: Elk thermal Elk thermal and hiding and hiding
cover (Smith cover (Smith and Long, and Long,
1987)1987)
Future Development IIIFuture Development III
There are several things ways we are trying to improve this DMD:
3. Develop a computerized version of this DMD
Example: Example: ODMD developed by Dave Smith, ODMD developed by Dave Smith, Ontario Forest Research InstituteOntario Forest Research Institute