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Full-Text Articles in Life Sciences

Changes In Bark Properties And Hydrology Following Prescribed Fire, Courtney Siegert, Anna Ilek, Adam Wade Jan 2022

Changes In Bark Properties And Hydrology Following Prescribed Fire, Courtney Siegert, Anna Ilek, Adam Wade

College of Forest Resources Publications and Scholarship

No abstract provided.


Modeling Early Responses Of Loblolly Pine Growth To Thinning In The Western Gulf Coastal Plain Region, Yuhi Weng, J. Grogan, Dean W. Coble Jan 2020

Modeling Early Responses Of Loblolly Pine Growth To Thinning In The Western Gulf Coastal Plain Region, Yuhi Weng, J. Grogan, Dean W. Coble

Faculty Publications

Growth response to thinning has long been a research topic of interest in forest science. This study presents the first 3–4 years of response of loblolly pine (Pinus taeda L.) growth to thinning at different intensities. Data were collected from the East Texas Pine Research Project’s region-wide loblolly pine thinning study, which covers a wide variety of stand conditions. Four treatments, light, moderate, and heavy thinning, respectively having 370, 555, and 740 residual trees per hectare after thinning, and an unthinned control, were included. Individual tree diameter at breast height (dbh) and total height were recorded annually for the …


Establishing Pine Monocultures And Mixed Pine-Hardwood Stands On Reclaimed Surface Mined Land In Eastern Kentucky: Implications For Forest Resilience In A Changing Climate, Geoffrey Bell, Kenton L. Sena, Christopher D. Barton, Michael French Oct 2017

Establishing Pine Monocultures And Mixed Pine-Hardwood Stands On Reclaimed Surface Mined Land In Eastern Kentucky: Implications For Forest Resilience In A Changing Climate, Geoffrey Bell, Kenton L. Sena, Christopher D. Barton, Michael French

Forestry and Natural Resources Faculty Publications

Surface mining and mine reclamation practices have caused significant forest loss and forest fragmentation in Appalachia. Shortleaf pine (Pinus echinata) is threatened by a variety of stresses, including diseases, pests, poor management, altered fire regimes, and climate change, and the species is the subject of a widescale restoration effort. Surface mines may present opportunity for shortleaf pine restoration; however, the survival and growth of shortleaf pine on these harsh sites has not been critically evaluated. This paper presents first-year survival and growth of native shortleaf pine planted on a reclaimed surface mine, compared to non-native loblolly pine ( …


Vegetative Comunitiy Development Over 30 Years Within Pine Plantations On Reclaimed Mine Land In East Texas., Christy Christian, Brian P. Oswald, Hans M. Williams, Kenneth W. Farrish Mar 2017

Vegetative Comunitiy Development Over 30 Years Within Pine Plantations On Reclaimed Mine Land In East Texas., Christy Christian, Brian P. Oswald, Hans M. Williams, Kenneth W. Farrish

Faculty Publications

No abstract provided.


A Comparison Of Tree Growth In Loblolly Pine (Pinus Taeda) Plantations And Silvopasture Settings In East Texas, B. P. Oswald, Y. Weng, K. W. Farrish, J. Grogan, W. Kruckeberg, T. Barton Jan 2017

A Comparison Of Tree Growth In Loblolly Pine (Pinus Taeda) Plantations And Silvopasture Settings In East Texas, B. P. Oswald, Y. Weng, K. W. Farrish, J. Grogan, W. Kruckeberg, T. Barton

Faculty Publications

A desire by landowners to diversify potential income sources has resulted in an increased interest in silvopasture. This intensive land management option allows for the production of timber, livestock and/or forage on the same land base. With traditional plantation systems featuring loblolly pine (Pinus taeda) common in the western gulf coast region of the southeastern United States, comparisons of tree growth are needed to justify the use of silvopasture. This study evaluated the height, diameter and volume growth 13 years post-establishment of loblolly pine in both silvopasture and plantation spacings on a single site in east Texas. Individual trees in …


Exome Genotyping, Linkage Disequilibrium And Population Structure In Loblolly Pine (Pinus Taeda L.), Mengmeng Lu, Konstantin V. Krutovsky, Charles Dana Nelson, Tomasz E. Koralewski, Thomas D. Byram, Carol A. Loopstra Sep 2016

Exome Genotyping, Linkage Disequilibrium And Population Structure In Loblolly Pine (Pinus Taeda L.), Mengmeng Lu, Konstantin V. Krutovsky, Charles Dana Nelson, Tomasz E. Koralewski, Thomas D. Byram, Carol A. Loopstra

Forest Health Research and Education Center Faculty Publications

Background: Loblolly pine (Pinus taeda L.) is one of the most widely planted and commercially important forest tree species in the USA and worldwide, and is an object of intense genomic research. However, whole genome resequencing in loblolly pine is hampered by its large size and complexity and a lack of a good reference. As a valid and more feasible alternative, entire exome sequencing was hence employed to identify the gene-associated single nucleotide polymorphisms (SNPs) and to genotype the sampled trees.

Results: The exons were captured in the ADEPT2 association mapping population of 375 clonally-propagated loblolly pine trees using …


Project Report No. 69, Observed Growth And Yield Of Loblolly And Slash Pine Plantations In East Texas, Dean W. Coble, Katherine Pendergast May 2014

Project Report No. 69, Observed Growth And Yield Of Loblolly And Slash Pine Plantations In East Texas, Dean W. Coble, Katherine Pendergast

Informal Project Reports

Forestland in East Texas is an estimated 12.1 million acres, with approximately 2.9 million acres (24%) classified as pine plantations on private land. Because pine plantations are typically managed for timber production, information regarding tree growth is needed to make informed management decisions. An understanding of how growth factors such as tree volume, diameter, height and basal area are affected by site index, trees per acre and age in East Texas enables plantation managers to make the management decisions necessary to maximize timber production.


Project Report No. 68, Observed Growth And Yield Of Loblolly Pine Plantations In East Texas, Dean W. Coble, Katherine Pendergast Nov 2013

Project Report No. 68, Observed Growth And Yield Of Loblolly Pine Plantations In East Texas, Dean W. Coble, Katherine Pendergast

Informal Project Reports

Forestland in east Texas occupies about 12.1 million acres with 2.9 million acres (24%) classified as pine plantations on private land. Pine plantations are typically managed to produce timber, so information is needed to make informed management decisions. Growth is one piece of information that managers often rely upon in their decision making process.


Project Report No. 67, A Whole-Stand Growth And Yield Model For Unmanaged Loblolly And Slash Pine Plantations In East Texas, Dean W. Coble, Micky G. Allen Ii, Jimmie L. Yeiser, I-Kuai Hung Jun 2010

Project Report No. 67, A Whole-Stand Growth And Yield Model For Unmanaged Loblolly And Slash Pine Plantations In East Texas, Dean W. Coble, Micky G. Allen Ii, Jimmie L. Yeiser, I-Kuai Hung

Informal Project Reports

The amount of forestland in east Texas has been estimated at 11.8 million acres, with approximately 2.5 million acres classified as pine plantations. The majority of these plantations are owned by forest industry (71 percent), while non-industrial private forest landowners represent the next largest shareholder (23 percent). Pine plantations are typically managed to produce timber, so information is needed to make informed management decisions. Growth is one piece of information that managers often rely upon in their decision-making process.

The purpose of this paper is to develop an updated whole-stand growth and yield model for unmanaged loblolly and slash pine …


Diameter Distribution Models: Loblolly Pine Plantations, Dean W. Coble Jan 2010

Diameter Distribution Models: Loblolly Pine Plantations, Dean W. Coble

Data

A parameter recovery procedure for the Weibull distribution function based on four percentile equations was used to develop a new diameter distribution yield prediction model for unmanaged slash pine (Pinus elliottii Engelm.) plantations in east Texas. This new model was similar in structure to the model of Lee and Coble (2006) in their work with east Texas loblolly pine plantations. The new model was compared to the diameter distribution model of Lenhart (1988), which was developed for slash pine plantations in east Texas, as well as to two other models developed using iterative techniques suggested and inspired by Cao (2004). …


Site Index Equations, Dean W. Coble Jan 2010

Site Index Equations, Dean W. Coble

Data

A generalized sigmoid growth function was used in this study to model site index for unmanaged or low-intensity managed loblolly pine (Pinus taeda, L.) and slash pine (Pinus elliottii, Engelm.) plantations in east Texas.


Whole-Stand Models: Loblolly And Slash Pine Plantations, Dean W. Coble Jan 2010

Whole-Stand Models: Loblolly And Slash Pine Plantations, Dean W. Coble

Data

A new compatible whole-stand growth and yield model to predict total tree cubic-foot volume per acre yield (outside and inside-bark) was developed for unmanaged loblolly pine (Pinus taeda) and slash pine (Pinus elliottii) plantations in east Texas. This model was compared to the non- compatible whole-stand model of Lenhart (1996) and the Lenhart (1996) model refit to current data. For the two species, all three models were evaluated with independent observed data. The model developed in this study out-performed both Lenhart models in prediction of future yield and basal area per acre for all age classes combined and by five-year …


Split-Season Herbaceous Weed Control For Full-Season Seedling Performance, Jimmie L. Yeiser, Andrew W. Ezell Jan 2010

Split-Season Herbaceous Weed Control For Full-Season Seedling Performance, Jimmie L. Yeiser, Andrew W. Ezell

Faculty Publications

Results from four loblolly pine (Pinus taeda L.) sites, one in each of MS and TX in 2001 and again in 2002, are presented. Twelve herbicide treatments and an untreated check were tested. Herbicide treatments were applied early (mid- March), late (mid-May), both timings, or not at all to achieve, early- late-, full-season, or no weed control. When averaged across all four sites and compared to the early treatment, bare ground was less from April through July and April through November on late treated and untreated plots, respectively. Full-season weed control provided numerically more bare ground than other treatments. When …


Effects Of Sower Type And Seedbed Density On Bareroot Seedling Morphology And Early Field Performance Of An East Texas Family Of Loblolly Pine, Hans Michael Williams, Tim Stewart Jan 2006

Effects Of Sower Type And Seedbed Density On Bareroot Seedling Morphology And Early Field Performance Of An East Texas Family Of Loblolly Pine, Hans Michael Williams, Tim Stewart

Faculty Publications

Precision sowing is commonly used at forest tree nurseries in order to improve the growing space uniformity of seedlings in the beds. Temple-Inland Forest Products Corporation recently purchased a vacuum sower and requested a study be conducted comparing their new sower with a drill sower on the morphological characteristics of loblolly pine (Pinus taeda L.) at lifting. The study was conducted in 2000 and repeated in 2001. The seed were sown using the two sower types to achieve four densities of 161 , 215, 269, and 323 seedlings/m2• Two half-sibling families were tested in 2000, and one halfsibling family was …


Project Report No. 66, Metric Volume And Biomass Prediction Equations For Loblolly And Slash Pine Trees Planted In Unmanaged Pine Plantations In East Texas, Dean W. Coble, Young-Jin Lee, J. David Lenhart Nov 2004

Project Report No. 66, Metric Volume And Biomass Prediction Equations For Loblolly And Slash Pine Trees Planted In Unmanaged Pine Plantations In East Texas, Dean W. Coble, Young-Jin Lee, J. David Lenhart

Informal Project Reports

Metric equations are presented to predict the volume of wood and/or biomass contained in individual loblolly (Pinus taeda, L.) and slash (Pinus elliottii, Englem.) pine trees growing in unmanaged pine plantations in east Texas. Taper equations are also presented for both species that describe tree form in metric units.


Project Report No. 64, Observed Growth And Yield Of Loblolly And Slash Pine Plantations In East Texas, Dean W. Coble, Shiaolin Cheng Apr 2004

Project Report No. 64, Observed Growth And Yield Of Loblolly And Slash Pine Plantations In East Texas, Dean W. Coble, Shiaolin Cheng

Informal Project Reports

The amount of forestland in east Texas has been estimated at 11.8 million acres, with approximately 2.5 million acres classified as pine plantations. The majority ofthese plantations are owned by forest industry (71 percent), while non-industrial private forest landowners represent the next largest shareholder (23 percent). Pine plantations are typically managed to produce timber, so information is needed to make informed management decisions. Growth is one piece of information that managers often rely upon in their decision-making process.


The Response Of Bareroot Loblolly Pine Seedlings To The Amount And Timing Of Nitrogen Fertilization In The Nursery, Hans Michael Williams, Karen Woodard, Tim Stewart Jan 2004

The Response Of Bareroot Loblolly Pine Seedlings To The Amount And Timing Of Nitrogen Fertilization In The Nursery, Hans Michael Williams, Karen Woodard, Tim Stewart

Faculty Publications

A nursery study was conducted to observe the effects of altering the amount of nitrogen fertilizer at each application on bareroot loblolly pine (Pinus taeda L.) seedling morphology, survival and growth. The treatments were an equal amount of fertilizer applied each time, an increasing amount each time, and a schedule characterized by low amounts, high amounts, and low amounts. Six applications of ammonium nitrate (32.5 percent N) were applied between June and August 2000, and for all treatments, a total of 169 kg N per ha was applied. In addition, for each growing season treatment, the seedlings were treated either …


A Survival Model For Unthinned Loblolly Pine Plantations That Incorporates Non-Planted Tree Competition, Site Quality, And Incidence Of Fusiform Rust, Y. J. Lee, Dean W. Coble Jan 2002

A Survival Model For Unthinned Loblolly Pine Plantations That Incorporates Non-Planted Tree Competition, Site Quality, And Incidence Of Fusiform Rust, Y. J. Lee, Dean W. Coble

Articles

Future biomass yields are functionally related to the number of trees surviving at a given age. A stand level survival model was developed that incorporates competition of non-planted trees, site quality, and the incidence of fusiform rust (Cronartium quercuum [Berk.] Miyabe ex Shirai f. sp. fusiforme). The model consists of a system of two equations, one of which represents the number of surviving trees infected by fusiform rust while the other represents the number of trees not infected by fusiform rust. Data from unthinned loblolly pine (Pinus taeda L.) plantations in East Texas were used to fit and evaluate the …


Growth Response From Herbicide, Prescribed Fire And Fertilizer Treatments In Midrotational Loblolly Pine: First-Year Results, Mary Michelle Barnett, Sandra Rideout, Brian P. Oswald, Kenneth W. Farrish, Hans Michael Williams Jan 2002

Growth Response From Herbicide, Prescribed Fire And Fertilizer Treatments In Midrotational Loblolly Pine: First-Year Results, Mary Michelle Barnett, Sandra Rideout, Brian P. Oswald, Kenneth W. Farrish, Hans Michael Williams

Faculty Publications

This study was initiated to determine growth response resulting from the application of prescribed fire and herbicide, with and without fertilizatio.n. In. southeast Texas, herbicide, prescribed fire and fertilizer treatments were applied in m1d:rotat1onal loblolly pine plantations 1.5 years after thinning. Five replications were established at. each of two study sites located on similar soils, aspects and slopes. Half of each replication. was randomly selected and fertilized. Eight treatment plots were established 1n e~ch replication with one of each of the four treatments of control, herbicide, fire, and herb1c1de/flre randomly applied to fertilized plots and one of each of the …


A Survival Model For Unthinned Loblolly Pine Plantations That Incorporates Non-Planted Tree Competition, Site Quality, And Incidence Of Fusiform Rust, Dean W. Coble, Young-Jin Lee Jan 2002

A Survival Model For Unthinned Loblolly Pine Plantations That Incorporates Non-Planted Tree Competition, Site Quality, And Incidence Of Fusiform Rust, Dean W. Coble, Young-Jin Lee

Faculty Publications

Future biomass yields are functionally related to the number of trees surviving at a given age. A stand level survival model was developed that incorporates competition of non-planted trees, site quality, and the incidence of fusiform rust (Cronartium quercuum [Berk.] Miyabe ex Shirai f. sp. fusiforme). The model consists of a system of two equations, one of which represents the number of surviving trees infected by fusiform rust while the other represents the number of trees not infected by fusiform rust. Data from unthinned loblolly pine (Pinus taeda L.) plantations in East Texas were used to fit …


Project Report No. 63, Site Index Equations For Loblolly And Slash Pine Plantations In East Texas, Update: Fall 2000, Lanton Chumley, Kenneth Dotson, Brad Horn, Greg Kelley, Greg Mabus, Meredith Middlebrook, Jamie Oliver, Michael Russell, Michelle Stegall Oct 2000

Project Report No. 63, Site Index Equations For Loblolly And Slash Pine Plantations In East Texas, Update: Fall 2000, Lanton Chumley, Kenneth Dotson, Brad Horn, Greg Kelley, Greg Mabus, Meredith Middlebrook, Jamie Oliver, Michael Russell, Michelle Stegall

Informal Project Reports

This update utilizes height-age pairs measured from 1982- 1999. As a result, the number.of observations available for analysis is 1,900 loblolly and 852 slash. It is anticipated that the equations in this Fall 2000 update may quantify the productivity of East Texas loblolly and slash pine plantations in a more accurate and reliable manner than the eight previous sets of equations.


Financial Analysis Of Pruning Combined With Low Density Management Of Southern Yellow Pine In East Texas: An Assessment, Jayson F. Tate, A. Gordon Holley, Leslie A. Dale, Gary D. Kronrad Jan 1999

Financial Analysis Of Pruning Combined With Low Density Management Of Southern Yellow Pine In East Texas: An Assessment, Jayson F. Tate, A. Gordon Holley, Leslie A. Dale, Gary D. Kronrad

Faculty Publications

Time study was conducted on pruning of research plots in a IZyear-old loblolly pine (Pinus taeda) plantation thinned to 58 square feet basal area (190 trees) per acre. Pruning times with labor and equipment costs were used to determine per acre and per tree pruning costs. Pruning costs were used to find values necessary to break-even on a pruning investment. Soil expectation value (SEV) calculations were used to compare profitability of management utilizing heavy thinning with pruning to traditional management regimes. Calculations were performed using a current hourly wage of $8.00, stumpage price of $400.00, per thousand board feet (MBF) …


Four-Year Growth Results From 16 Year Old Intensively Managed Low Density Loblolly Pine Plantations, A. Gordon Holley, Leslie A. Dale, Gary D. Kronrad Jan 1999

Four-Year Growth Results From 16 Year Old Intensively Managed Low Density Loblolly Pine Plantations, A. Gordon Holley, Leslie A. Dale, Gary D. Kronrad

Faculty Publications

In 1994 eighty four permanent research plots were established in two twelve year-old loblolly pine (Pinus taeda) plantations in East Texas. Plots differed in relation to: soil-site type, density of trees per acre, fertilization treatments, and competing vegetation control. Three levels of thinning treatments reduced the basal areas to 36,60, and 84 square feet of basal area (approximately 100,200, and 300 stems, respectively) per acre. All residual trees were pruned to a height of 25 feet. Plots were re-measured in 1995, 1996, and 1998. Significant differences in diameter and height growth rates were detected in 1996 and 1998. Average diameter …


Herbicide And Fertilizer Combinations For Newly Planted Loblolly Pine Seedlings On A Flatwoods Site In Southeastern Arkansas: Year Three Results, Jimmie L. Yeiser Jan 1999

Herbicide And Fertilizer Combinations For Newly Planted Loblolly Pine Seedlings On A Flatwoods Site In Southeastern Arkansas: Year Three Results, Jimmie L. Yeiser

Faculty Publications

Herbicide and fertilizer combinations were tested for enhanced loblolly pine (Pinus taeda L.) seedling performance on a chemically prepared, flatwoods site in southeastern AR. Fertilizer treatments were selected combinations of 40,50, and 50 pounds per acre of elemental N, P, or K, respectively. Arsenal+Oust (4 ounces+2 ounces per treated acre) was applied for herbaceous weed control (HWC). One treatment of herbicide or herbicide+ fertilizer was applied per year; the same rate was used for years one (1996) and two (1997). After three growing seasons, the greatest seedling volume resulted from two treatments of HWC+NPK fertilizer. Two treatments of HWC alone …


Project Report No. 62, Site Index Equations For Loblolly And Slash Pine Plantations In East Texas, Update: Fall 1998, Jermey Abston, Jason Bledsoe, Tyson Davis, Cody Duncan, Jason Guinn, Steven Hilton, Gwen Jones, Jennifer Jones, Jeff Kellam, Bryan Killburn, Denver Knox, William Muncrief, Jason Nelms, Chris Pool, Will Ramey, Keith Rice, Kevin Roberts, Curtis Stanford Nov 1998

Project Report No. 62, Site Index Equations For Loblolly And Slash Pine Plantations In East Texas, Update: Fall 1998, Jermey Abston, Jason Bledsoe, Tyson Davis, Cody Duncan, Jason Guinn, Steven Hilton, Gwen Jones, Jennifer Jones, Jeff Kellam, Bryan Killburn, Denver Knox, William Muncrief, Jason Nelms, Chris Pool, Will Ramey, Keith Rice, Kevin Roberts, Curtis Stanford

Informal Project Reports

This update utilizes height-age pairs measured from 1982 - 1998. As a result, the number of observations available for analysis is 1,814 loblolly and 788 slash. It is anticipated that the equations in this Fall 1998 update may quantify the productivity of East Texas loblolly and slash pine plantations in a more accurate and reliable manner than the seven previous sets of equations.


Project Report No. 61, Observed Per-Acre Basal Area Growth Trends, 28 Individual Observations, Unthinned Loblolly Pine Plantations, Andrew M. Burrow Jul 1998

Project Report No. 61, Observed Per-Acre Basal Area Growth Trends, 28 Individual Observations, Unthinned Loblolly Pine Plantations, Andrew M. Burrow

Informal Project Reports

Individual plot data from the East Texas Pine Plantation Research Project were available for analysis in this study. Each plot consists of two subplots. Each subplot is considered an observation. The analysis was limited to individual observations ages 24 years and older. All observations are unthinned.


Project Report No. 60, Observed Per-Acre Volume Growth Trends, 28 Individual Observations, Unthinned Loblolly Pine Plantations East Texas, Andrew M. Burrow Jul 1998

Project Report No. 60, Observed Per-Acre Volume Growth Trends, 28 Individual Observations, Unthinned Loblolly Pine Plantations East Texas, Andrew M. Burrow

Informal Project Reports

Individual plot data from the East Texas Pine Plantation Research Project were available for analysis in this study. Each plot consists of two subplots. Each subplot is considered an observation. The analysis was limited to individual observations ages 24 years and older. All observations are unthinned.

For each observation, cubic feet total stem wood and bark per acre was calculated.

Based on these values, MAI (mean annual increment) was calculated.

The values (plus observed trees per acre) are depicted in graphs on the next 28 pages.


Project Report No. 59, Site Index Equations For Loblolly And Slash Pine Plantations In East Texas, Update: Fall 1997, Bryce Burke, Andy Burrow, Bob David, Jennifer Franke, John Hamilton, Jay Hein, Roger Hooper, Krissy Kimbro, Jeffrey Lester, Willie Newman, Doug Orms, Ann Pennell, Wiley Quarles, Joel Rudolph, Mike Sessions, Brandon White, Chris Wray Nov 1997

Project Report No. 59, Site Index Equations For Loblolly And Slash Pine Plantations In East Texas, Update: Fall 1997, Bryce Burke, Andy Burrow, Bob David, Jennifer Franke, John Hamilton, Jay Hein, Roger Hooper, Krissy Kimbro, Jeffrey Lester, Willie Newman, Doug Orms, Ann Pennell, Wiley Quarles, Joel Rudolph, Mike Sessions, Brandon White, Chris Wray

Informal Project Reports

Each published set of equations was developed from analyses of East Texas Pine Plantation Research Project (ETPPRP) data collected from the array of ETPPRP permanent research plots located throughout East Texas.


Project Report No. 57, Observed Growth Trends, Quadratic Mean Diameter, Loblolly And Slash Pine Plantations East Texas, J. David Lenhart, Jennifer Allen, Young-Jin Lee Sep 1997

Project Report No. 57, Observed Growth Trends, Quadratic Mean Diameter, Loblolly And Slash Pine Plantations East Texas, J. David Lenhart, Jennifer Allen, Young-Jin Lee

Informal Project Reports

No abstract provided.


Project Report No. 56, Observed Growth Trends, Basal Area Per Acre In Square Feet, Loblolly And Slash Pine Plantations East Texas, J. David Lenhart, Jennifer Allen, Young-Jin Lee Sep 1997

Project Report No. 56, Observed Growth Trends, Basal Area Per Acre In Square Feet, Loblolly And Slash Pine Plantations East Texas, J. David Lenhart, Jennifer Allen, Young-Jin Lee

Informal Project Reports

Observations fr9m the East Texas Pine Plantation Research Project were available for analysis in this study. We limdted the observations to site index classes 60. 70 and 80 feet. And age classes were set at three-year intervals.

Por each combination of site index and age class. an average observed basal area in square feet per acre was calculated.

Based on these values, HAl (mean annual increment) and CAl (current annual increment) were calculated.

The values are depicted in graphs on the next six pages.