A dynamic programming analysis of silvicultural alternatives for red pine plantations in Wisconsin

1981 ◽  
Vol 11 (2) ◽  
pp. 371-380 ◽  
Author(s):  
George L. Martin ◽  
Alan R. Ek
Keyword(s):  
Dynamic Programming ◽  
Growth Model ◽  
Red Pine ◽  
Pine Plantations ◽  
Individual Tree ◽  
Optimal Density ◽  
Stand Growth ◽  
Programming Analysis ◽  
Final Harvest

An individual tree based stand growth model was analyzed, via dynamic programming, for thinning and final harvest strategies leading to maximum physical yields. Optimal density yield tables, indicating maximum yields and corresponding strategies, were constructed from the solution of the dynamic programming networks. Maximum yields averaged 25 – 30% higher than comparable yields reported previously for periodically thinned red pine plantations.

scholarly journals Plot, stand, and cover-type aggregation effects on projections with an individual tree based stand growth model

1981 ◽  
Vol 11 (2) ◽  
pp. 310-316 ◽  
Author(s):  
Melinda Moeur ◽  
Alan R. Ek
Keyword(s):  
Growth Model ◽  
Stand Structure ◽  
Basal Area ◽  
Average Diameter ◽  
Red Pine ◽  
Individual Tree ◽  
Projection System ◽  
Stand Growth ◽  
Cover Type ◽  
Independent Individual

A distance-independent, individual tree based growth model (the multipurpose forest projection system (MFPS)) was used to project changes in stand structure on aspen, red pine, and jack pine cover types in northern Minnesota for 37 years. Individual 0.058-ha plot projections, projections of plots aggregated within stands, and projections of plots aggregated within cover types were compared with each other and with observed plot conditions. Actual plot observations were available for up to 17 years. Individual plot, stand, and cover-type aggregations produced very similar projections in terms of number of trees, average diameter, basal area, and biomass. Plot by plot projections were most accurate in comparison with observed conditions, followed by stand and then cover-type aggregations. Differences from actual values and among projections generally increased with longer projections.

A growth model based on the self-thinning rule

1986 ◽  
Vol 16 (2) ◽  
pp. 330-334 ◽  
Author(s):  
N. J. Smith ◽  
D. W. Hann
Keyword(s):  
Relative Density ◽  
Growth Model ◽  
Red Pine ◽  
The Self ◽  
Stem Volume ◽  
Red Alder ◽  
Dynamic Component ◽  
Stand Growth ◽  
Initial Spacing ◽  
Crown Closure

A two-staged stand growth model is developed to describe the relationship between biomass or volume and numbers of stems in even-aged, monospecific plant populations undergoing self-thinning. The model is tested on red alder (Alnusrubra Bong.) seedlings and red pine (Pinusresinosa Ait.) stands grown over a range of site qualities and initial spacings. First, survival rate is modelled as a Weibull distribution. This is then fit to an analytical size–density model to give growth estimates. Crown closure is estimated to occur at a relative density of 0.09 for red alder, while initial mortality is estimated to occur at a relative density of 0.12 for red pine. Net stand growth rates peaked at a relative density of 0.54 for red alder biomass and from relative densities from 0.40 (widest initial spacing) to 0.55 (densest initial spacing) for red pine total stem volume. Site quality merely shifted the magnitude of these relationships. The model adds a dynamic component to the self-thinning rule and also generalizes and extends the rule to stand development between crown closure and the self-thinning asymptote.

Comparison of stochastic and deterministic mortality estimation in an individual tree based stand growth model

1986 ◽  
Vol 16 (5) ◽  
pp. 1139-1141 ◽  
Author(s):  
Laura A. Weber ◽  
Alan R. Ek ◽  
Terry D. Droessler
Keyword(s):  
Growth Model ◽  
Basal Area ◽  
Deterministic Approach ◽  
Projection Model ◽  
Individual Tree ◽  
Stand Growth ◽  
Mortality Estimation ◽  
Stochastic Mortality ◽  
Growth Projection

Long-term projections (100 years) were made using the deterministic and stochastic mortality algorithms of the STEMS individual tree based stand growth projection model. Deterministic versus averaged stochastic projection results showed no practical differences in mean stand values for number of trees, basal area, volume, or diameter distributions. The deterministic approach also eliminates the need for making repeated stochastic runs and averaging the results where interest lies only in mean projected values.

Construction of a stand growth model utilizing photosynthesis and respiration relationships in individual trees

1988 ◽  
Vol 18 (8) ◽  
pp. 1027-1035 ◽  
Author(s):  
Risto Sievänen ◽  
Thomas E. Burk ◽  
Alan R. Ek
Keyword(s):  
Growth Model ◽  
Basal Area ◽  
Preliminary Evaluation ◽  
Growth Data ◽  
Individual Tree ◽  
Stand Growth ◽  
Long Term Trends ◽  
Using Data ◽  
Individual Trees ◽  
Photosynthesis And Respiration

A discrete growth model for an individual tree in a forest stand is presented. The model is based on simplified photosynthesis and respiration relationships. Implementation of the model also requires functions for change in live crown ratio and stems per unit area. Tree growth predictions are expressed in terms of biomass and basal area. A preliminary evaluation of the model is made using data from the literature on the growth of even-aged stands of red pine (Pinusresinosa Ait.). The model produced both short- and long-term trends consistent with stand growth data. The evaluation suggests further possibilities for model component refinement.

Incorporating stand density effects in modeling the taper of red pine plantations

2020 ◽  
Vol 50 (8) ◽  
pp. 751-759
Author(s):  
Mahadev Sharma
Keyword(s):  
Basal Area ◽  
Stand Density ◽  
Red Pine ◽  
Pine Plantations ◽  
Individual Tree ◽  
Stem Taper ◽  
System Of Units ◽  
Pine Trees ◽  
Parameter Values ◽  
Taper Models

Taper models are used to estimate the diameter at any height along the bole of a tree. Individual tree volume can then be calculated based on these diameters and corresponding heights. As tree diameters are affected by stand density, inside- and outside-bark taper models that incorporate stand density information were developed for trees in red pine (Pinus resinosa Aiton) plantations. Data used in this study came from stem analysis on 150 red pine trees sampled from 30 even-aged, monospecific plantations across Ontario, Canada. A nonlinear mixed-effects approach was applied in fitting these taper models. Several forms of stand density were evaluated for both inside- and outside-bark diameters. A combination of stand densities expressed as [Formula: see text] (BA, basal area; TPH, trees per hectare) explained the most variation in stem taper of trees grown in red pine plantations in Ontario. This variable was highly significant in the regression and improved the predictive accuracies of both inside- and outside-bark taper models. The taper models presented here are dimensionally compatible. Therefore, these models are applicable for data using any system of units without adjusting parameter values.

Estimating individual tree leaf area in loblolly pine plantations using LiDAR-derived measurements of height and crown dimensions

2005 ◽  
Vol 213 (1-3) ◽  
pp. 54-70 ◽  
Author(s):  
Scott D. Roberts ◽  
Thomas J. Dean ◽  
David L. Evans ◽  
John W. McCombs ◽  
Richard L. Harrington ◽  
...  
Keyword(s):  
Leaf Area ◽  
Loblolly Pine ◽  
Pine Plantations ◽  
Individual Tree ◽  
Tree Leaf ◽  
Crown Dimensions
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