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TABLES

Table 1 National accounting matrix for timber-producing forest (no deforestation or depreciation of human-made capital).

 

Labor

Capital

Forest

Consumer goods

Investment goods

Logs

Households

Labor

     

Wages paid to labor employed in production of consumer goods

Wages paid to labor employed in production of investment goods

Wages paid to labor employed in timber harvesting

 

Capital

     

Earnings on capital employed in production of consumer goods

Earnings on capital employed in production of investment goods

Earnings on capital employed in timber harvesting

 

Forest

           

-Depreciation of timber

Consumer goods

           

Expenditure on consumer goods

Investment goods

           

Expenditure on investment goods

Logs

     

Logs used in production of consumer goods

Logs used in production of investment goods

Logs used in timber harvesting

 

Households

Total wages

Total earnings on capital

-Depreciation of timber

   

Total resource rent

 

Table 2 Additional entries to national accounting matrix in Table 1, due to forest amenities.

 

Labor

Capital

Forest

Consumer goods

Investment goods

Logs

Households

Labor

             

Capital

             

Forest

           

Value of forest amenities

Consumer goods

             

Investment goods

             

Logs

             

Households

   

Value of forest amenities

       

Table 3 National accounting matrix for timber-producing forest, with deforestation.

 

Labor

Capital

Forest

Agricultural land

Consumer goods

Investment goods

Logs

Land clearing

Households

Labor

       

Wages paid to labor employed in production of consumer goods

Wages paid to labor employed in production of investment goods

Wages paid to labor employed in timber harvesting

Wages paid to labor employed in land clearing

 

Capital

       

Earnings on capital employed in production of consumer goods

Earnings on capital employed in production of investment goods

Earnings on capital employed in timber harvesting

Earnings on capital employed in land clearing

 

Forest

               

- Depreciation of timber

Agricultural land

       

Payments to agricultural land employed in production of consumer goods

Payments to agricultural land employed in production of investment goods

     

Consumer goods

               

Expenditure on consumer goods

Investment goods

               

Expenditure on investment goods

Logs

       

Logs used in production of consumer goods

Logs used in production of investment goods

Logs used in timber harvesting

Timber used in land clearing

 

Land clearing

               

Price of agricultural land minus price of forestland, times area deforested

Households

Total wages

Total earnings on capital

- Depreciation of timber

Agricultural rents

   

Total resource rent from timber harvesting in remaining forest

Total resource rent from timber harvesting during land clearing

 

Table 4 Net accumulation of timber: comparison of approaches

Characteristics of forest

 

Depreciation approaches

Present

El Serafy

Net price

Net

t

q(t)

q'(t)

V(t)

value

variation

variation

depletion

(yr)

(m3/ha)

(m3/ha/yr)

(RM/ha)

(RM/ha)

(RM/ha)

(RM/ha)

(RM/ha)

1

0.0

0.00

1041

42

42

42

0

2

0.0

0.00

1082

43

43

43

0

3

0.0

0.00

1126

45

45

45

0

4

0.0

0.00

1171

47

47

47

0

5

0.0

0.00

1217

49

49

49

0

6

0.0

0.02

1266

51

51

51

1

7

0.0

0.05

1317

53

53

53

4

8

0.1

0.12

1369

55

55

55

8

9

0.3

0.22

1424

57

57

57

15

10

0.6

0.35

1481

59

59

59

24

11

1.0

0.49

1540

62

62

62

35

12

1.6

0.65

1602

64

64

64

46

13

2.3

0.82

1666

67

67

67

57

14

3.2

0.98

1733

69

69

69

69

15

4.3

1.14

1802

72

72

72

80

16

5.5

1.29

1874

75

75

75

90

17

6.8

1.42

1949

78

78

78

99

18

8.3

1.54

2027

81

81

81

108

19

9.9

1.65

2108

84

84

84

115

20

11.6

1.74

2193

88

88

88

122

21

13.4

1.82

2280

91

91

91

128

22

15.3

1.89

2371

95

95

95

132

23

17.2

1.95

2466

99

99

99

136

24

19.1

1.99

2565

103

103

103

140

25

21.2

2.03

2668

107

107

107

142

26

23.2

2.06

2774

111

111

111

144

27

25.3

2.08

2885

115

115

115

146

28

27.4

2.09

3001

120

120

120

147

29

29.5

2.10

3121

125

125

125

147

30

31.6

2.10

3245

130

130

130

147

31

33.7

2.10

3375

135

135

135

147

32

35.8

2.10

3510

140

140

140

147

33

37.9

2.09

3651

-2610

-2610

-2610

-2650

Notes:  1. q(t) = 0.65 * 132* e1-60/t

    2. q'(t) = 60 * q(t)/t2

    3. V(t): see (19) in Appendix 2. p = RM115/m3, c = RM45/m3, i = 4%, T = 33 yrs.

Table 5 - National accounting matrix: closed economy, no deforestation

 

Expenditures

 

Primary factors

Production activities

 
 

Labour

Capital

Forest

Consumer goods

Investment goods

Timber harvest

Households

Labour

     

wNC

wNM

wNH

 

Capital

     

rqKC

rqKM

rqKH

 

Forest

           

[p-ms]

Consumer

goods

           

C

Investment goods

           

(savings)

Timber

harvest

     

pHC

pHM

pHH

 

Households

wN

rK

[p-mc]

   

[P-mc]H+π(H)

 

Table 6 Partial national accounting matrix: nonmarket forest amenities

 

Expenditures

 

Production activities

Primary factors

 

Consumer

goods

Investment

goods

Timber harvest

Timber

stock

Forested

land

Capital

Labour

Households

Consumer goods

             

C

Investment goods

             

Timber harvest

               

Timber stock

             

[pR-mcH]

Forested

land

             

Capital

               

Labour

               

Households

   

πH(H)L +

[pR-mcH]HL

[pR-mcH] L

rK

wN

 

Table 7 National accounting matrix: closed economy, with deforestation

 

Expenditures

 

Production activities

Primary factors

 

Consumption

goods

Investment goods

Timber

harvest

Land clearing

Timber stock

Agric. Land

Capital

Labour

Households

Consumption goods

               

C

Investment goods

               

Timber

harvest

LpRHC

LpRHM

LpRHH

LpRHD

         

Land

clearing

LpR(δD)C

LpH(δD)M

LpR(δD)H

LpR(δD)D

       

[vA-vF]

Timber

stock

               

[pR-mcH]L

Agric. land

rvAAC

rvAAM

rvAAH

rvAAD

         

Capital

rKC

rKM

rKH

rKD

         

Labour

wNC

wNM

wNH

wND

         

Households

   

[pR-mcH]HL

+ πH(H)L

[pR-mcH]δDL

D(D)L

[pR-mcH]L

AFA

rK

wN

 

 

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