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What do I need to know about
weighing trees?


Different species of trees have different densities and even shapes. The wood of pine and balsa are light. Oak and hickory wood is dense and heavy. Pine trees are tall and relatively thin. Oak trees are tall and broad.  Therefore, the first thing you need to do is determine the kind of tree you are looking at. 

If you know the kind of tree that you are weighing, you can start weighing your tree.

There are two ways to identify a tree. You can open a tree identification book and start on the first page comparing your tree with every picture in the book. If it is a detailed tree book that could take a long time. Some trees are related and can be confused if you aren't trained to look for the subtle differences. The faster way is to use a tree identification key. 

An identification key groups trees according to their characteristics. The first two big groups are trees with needles and trees with broad leaves. With that simple decision, you can eliminate half of the trees in the book. For trees with needles, the next decision is between scaly needles and longer individual needles. Again your decision can eliminate half of the remaining trees. After a few more questions you have identified your tree. There are several good identification keys on the web that you can use:

ID It

Identification of Common Trees of Iowa

Trees for the Pacific Northwest 

Upper Peninsula TREE IDENTIFICATION KEY

Basics of Tree ID

 

Finding a tree’s diameter, height and weight is the second step in weighing your tree.

First, we will find your tree’s diameter. It is hard to measure through the center of a tree but we can measure the tree’s circumference. A tree’s circumference becomes smaller the higher up you climb. We need to agree on a place to measure the circumference. Foresters stand next to the tree and measure at chest height.   Measure the tree’s circumference. Use the formula Circumference = 2 X pi X radius to calculate the diameter. 

 Need help?

Estimating the height of a tree

 From Geometry, you know that the ratio of 2 sides of similar triangles are equal. Use this fact to design a method to estimate the height of your tree.

 Need help?

Estimating the weight of a tree

Foresters use algorithms to estimate the green weight of trees. The algorithms used in this lesson come from “Tables for Estimating Total Tree and Product Weight and Volume of Major Southern Tree Species and Species Groups” by Joseph Saucier and Alexander Clark III , Southwide Energy Committee, American Pulpwood Association Inc., Nov. 1985.  These algorithms are good for the Southeastern United States. The principle works for any part of the world but the species and growing conditions vary. If you live in a different part of the United States, you should contact your county extension agent for trees in your area.  

The algorithms require the two measurements you have made: Diameter at breast height = D, Height of tree = H.

For each kind of tree there are two different algorithms. One is for trees with a small diameter and a second for trees with a large diameter.

 

Tree species

Size

Algorithm

Southern Pine Coastal plane

< 5 inches

0.32214(D2H)0.91330

 

> 5 inches

0.19821 (D2)1.06419 (H)0.91330

Southern Pine Piedmont

< 5 inches

0.28557 (D2H)0.92236

 

> 5 inches

0.18703 (D2)1.05385(H)0.92236

Hard Hardwoods

< 11 inches

0.38315 (D2H)0.92045

 

> 11 inches

0.11710 (D2)1.16763(H)0.92045

Soft Hardwoods

< 11 inches

0.26153(D2)1.12422(H)0.93871

 

> 11 inches

0.10743(D2)1.12422(H)0.93871

Sweet gum

< 11 inches

0.24512(D2H)0.95220

 

> 11 inches

0.09605(D2)1.14754(H)0.95220

Yellow Poplar

< 11 inches

0.16258(D2H)0.99008

 

> 11 inches

0.12701(D2)1.04157(H)0.99008

 

Hardwood or deciduous trees loose their leaves in the winter. Some hardwood trees actually have soft wood. Red Maple, Paper Birch, Aspen and American Elm are examples of soft hardwood trees. Oak and Hickory are hardwood trees that have hard wood. See list of trees.

 

These algorithms give you the green or wet weight of the tree above ground. About 20% of the tree is found in the roots below ground. Multiplying the green above weight by .2 will give you the weight of the roots.

The total green weight of the tree is the sum of the roots and above ground weights.

Find the green weight of your tree using:

A pocket calculator and the formulas above,

JavaScript calculators for the different kinds of trees in the Southeastern US,

Ask your teacher if you have access to an Excel spreadsheet which will help you with these calculations.

Now that you have an answer to the question how much does your tree weigh, we can look at that answer for opportunities to learn more about your tree.



Developed by
Kent Robertson
Copyright © 2001

This project is supported, in part,
by the

National Science Foundation

Opinions expressed are those of the authors
and not necessarily those of the National Science Foundation.
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