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 +πD(D)L |
[pR-mcH]L |
AFA |
rK |
wN |