   # APPENDICES

## Appendix A: Sample Calculations

#### Tree No. 100

dbh = 0.81m

Total Ht. = 17 m

Tim. Ht. 2.0m

Mean Total Ht. for all Roadside Trees is 11.10m

#### Calculations:

##### Tree B/A

= (dbh)2 / 2

= (0.81)2 / 2

0.51m2

= B/A x Tim. Ht.

= 0.52 m2 x 2.0m

= 1.03m3

##### Total Volume

= 0.59 (Mean Total Ht. x B/A)

= 0.59 (11.10m x 0.52m2

= 3.41m

##### Branchwood Vol.

= Total Vol. - Timber Vol.

= 3.41m3 - 1.03m3

= 2.38m3

##### % Branchwood Vol.

= (2.38 / 3.41) x 100

= 70%

Note: All calculations were carried out using a statistical package on a computer to a greater degree of accuracy than that implied in the above calculations. The final results shown are those obtained from the computer.

### Appendix B: A.N.O.V.A. Tables

#### Analysis of Variance

The following tests were carried out to find if there were any differences in dbh, total height and total volume between the trees in transects 2 - 6.

#### Hypothesis:

H0: 2 = 3 = 4 = 5 = 6

H1: 2  3  4  5  6

#### Critical Region:

F > F (5,509) at 5% level of significance.

F > 2.21 (For all 3 tests).

#### Test (1): DBH

F = 6.99 (Table 27)

6.99 > 2.21

#### Test (2): Total Height

F = 15.06 (Table 28)

15.06 > 2.21

#### Test (3): Total Volume

F = 18.22 (Table 29)

18.22 > 2.21

##### Action reject H0 at the 5% level of significance

Conclusion for tests 1 - 3: There are significant differences in dbh, total height and total volume between the 5 transects. Scheff's test was carried out on the same data in order to identify where the differences lay (see Section 4.3)

5

1.1540

0.2308

6.99

509

16.8072

0.0330

514

17.9613

141

0.564

0.190

23

0.547

0.149

78

0.594

0.211

107

0.692

0.191

112

0.628

0.146

54

0.614

0.175

5

800.5

160.1

15.06

509

5412.2

10.6

514

6212.6

141

11.09

3.58

23

10.43

2.02

78

13.31

4.13

107

14.24

3.27

112

11.94

2.47

54

11.74

2.75

5

173.34

34.67

18.22

509

968.27

1.90

514

1141.61

141

1.82

1.14

23

1.55

0.81

78

2.44

1.61

107

3.39

1.85

112

2.31

1.06

54

2.19

1.27

#### Pooled Standard Deviation = 1.38 