APPRECIATION FOR THE FOREST RESOURCE PINUS RADIATA.
Asset Value, Land Value, Timber Value and Appreciation
The outputs produced in the calculation of the appreciation of the forest resource of Pinus radiata for the period 1985-1996 is the following.
Table 2
Appreciation
(In millions of US$, 1996)
Year |
Asset value |
Land value |
Timber value |
Appreciation |
||||||||||||
Rotation Period |
Rotation Period |
Rotation Period |
Rotation Period |
|||||||||||||
24 years old |
20 years old |
20 years old (*) |
18 years old |
24 years old |
20 years old |
20 years old (*) |
18 years old |
24 years old |
20 years old |
20 years old (*) |
18 years old |
24 years old |
20 years old |
20 years old (*) |
18 years old |
|
1985 |
3,207 |
3,293 |
4,522 |
3,312 |
708 |
816 |
1,330 |
873 |
2,499 |
2,477 |
3,192 |
2,439 |
100 |
127 |
174 |
130 |
1986 |
3,400 |
3,508 |
4,818 |
3,533 |
734 |
847 |
1,381 |
906 |
2,665 |
2,661 |
3,437 |
2,627 |
121 |
146 |
200 |
146 |
1987 |
3,585 |
3,709 |
5,094 |
3,735 |
762 |
879 |
1,433 |
940 |
2,823 |
2,830 |
3,661 |
2,795 |
109 |
139 |
191 |
139 |
1988 |
3,444 |
3,578 |
4,914 |
3,615 |
742 |
856 |
1,395 |
915 |
2,702 |
2,723 |
3,520 |
2,700 |
92 |
130 |
178 |
133 |
1989 |
3,587 |
3,744 |
5,142 |
3,785 |
768 |
886 |
1,444 |
947 |
2,819 |
2,858 |
3,698 |
2,838 |
123 |
154 |
212 |
153 |
1990 |
3,766 |
3,923 |
5,388 |
3,963 |
805 |
929 |
1,514 |
993 |
2,961 |
2,994 |
3,874 |
2,970 |
125 |
157 |
216 |
157 |
1991 |
4,031 |
4,185 |
5,748 |
4,215 |
838 |
967 |
1,576 |
1,034 |
3,192 |
3,218 |
4,172 |
3,181 |
133 |
162 |
223 |
159 |
1992 |
4,159 |
4,329 |
5,946 |
4,352 |
842 |
972 |
1,584 |
1,039 |
3,317 |
3,357 |
4,362 |
3,312 |
110 |
143 |
196 |
135 |
1993 |
4,339 |
4,517 |
6,203 |
4,537 |
874 |
1,008 |
1,643 |
1,078 |
3,465 |
3,509 |
4,560 |
3,459 |
115 |
147 |
202 |
137 |
1994 |
4,476 |
4,652 |
6,390 |
4,667 |
900 |
1,038 |
1,692 |
1,110 |
3,576 |
3,614 |
4,698 |
3,557 |
104 |
140 |
192 |
128 |
1995 |
4,520 |
4,706 |
6,463 |
4,725 |
905 |
1,044 |
1,702 |
1,117 |
3,615 |
3,662 |
4,761 |
3,609 |
73 |
120 |
164 |
111 |
1996 |
4,528 |
4,708 |
6,466 |
4,723 |
911 |
1,051 |
1,713 |
1,124 |
3,617 |
3,657 |
4,752 |
3,598 |
81 |
123 |
169 |
114 |
Source: Own elaboration
(*) Estimated with function linear: 25 m3/ha/year. INFOR
Figure 2
Appreciation of Asset Value From "t" to "t+1"
Technically Optimal Rotation Period : 24 Years Old
p-c |
14.33 |
$ / m3 |
R |
570 |
$ / ha |
Co |
530 |
$ / ha |
H(T) |
7,452 |
$ / ha |
r |
7.97% |
T |
24 |
yrs |
|
S(T) |
669 |
$ / ha |
t |
q(t) |
H(T) |
R |
S(t) |
SEV(t) |
D(t) |
0 |
  |
  |
  |
  |
1,199 |
99 |
1 |
0 |
  |
  |
  |
1,299 |
108 |
2 |
0 |
  |
  |
  |
1,406 |
117 |
3 |
4 |
  |
  |
  |
1,523 |
126 |
4 |
12 |
  |
  |
  |
1,649 |
137 |
5 |
24 |
  |
  |
  |
1,786 |
148 |
6 |
39 |
  |
  |
  |
1,934 |
160 |
7 |
57 |
  |
  |
  |
2,095 |
174 |
8 |
77 |
  |
  |
  |
2,269 |
188 |
9 |
100 |
  |
  |
  |
2,457 |
204 |
10 |
124 |
  |
  |
  |
2,661 |
221 |
11 |
150 |
  |
  |
  |
2,882 |
239 |
12 |
178 |
  |
  |
  |
3,121 |
259 |
13 |
207 |
  |
  |
  |
3,379 |
280 |
14 |
236 |
  |
  |
  |
3,660 |
304 |
15 |
266 |
  |
  |
  |
3,963 |
329 |
16 |
297 |
  |
  |
  |
4,292 |
356 |
17 |
327 |
  |
  |
  |
4,648 |
386 |
18 |
358 |
  |
  |
  |
5,034 |
418 |
19 |
387 |
  |
  |
  |
5,452 |
452 |
20 |
417 |
  |
  |
  |
5,904 |
490 |
21 |
445 |
  |
  |
  |
6,394 |
530 |
22 |
471 |
  |
  |
  |
6,924 |
574 |
23 |
497 |
  |
  |
  |
7,499 |
622 |
24 |
520 |
  |
  |
  |
8,121 |
0 |
24 |
520 |
7,452 |
570 |
669 |
8,121 |
-6,922 |
Rotation Age For The Radiata Pine: 20 Years Old
The Logistic Pine Growth Function was applied.
p-c |
13.52 |
$ / m3 |
R |
615 |
$ / ha |
Co |
530 |
$ / ha |
H(T) |
5,638 |
$ / ha |
r |
7.97% |
T |
20 |
yrs |
|
S(T) |
772 |
$ / ha |
t |
q(t) |
H(T) |
R |
S(t) |
SEV(t) |
D (t) |
0 |
  |
  |
  |
  |
1,302 |
108 |
1 |
0 |
  |
  |
  |
1,410 |
117 |
2 |
0 |
  |
  |
  |
1,527 |
127 |
3 |
4 |
  |
  |
  |
1,654 |
137 |
4 |
12 |
  |
  |
  |
1,791 |
149 |
5 |
24 |
  |
  |
  |
1,939 |
161 |
6 |
39 |
  |
  |
  |
2,100 |
174 |
7 |
57 |
  |
  |
  |
2,274 |
189 |
8 |
77 |
  |
  |
  |
2,463 |
204 |
9 |
100 |
  |
  |
  |
2,667 |
221 |
10 |
124 |
  |
  |
  |
2,889 |
240 |
11 |
150 |
  |
  |
  |
3,128 |
259 |
12 |
178 |
  |
  |
  |
3,388 |
281 |
13 |
207 |
  |
  |
  |
3,669 |
304 |
14 |
236 |
  |
  |
  |
3,973 |
330 |
15 |
266 |
  |
  |
  |
4,303 |
357 |
16 |
297 |
  |
  |
  |
4,660 |
387 |
17 |
327 |
  |
  |
  |
5,047 |
419 |
18 |
358 |
  |
  |
  |
5,465 |
453 |
19 |
387 |
  |
  |
  |
5,919 |
491 |
20 |
417 |
  |
  |
  |
6,410 |
0 |
20 |
417 |
5,638 |
615 |
772 |
6,410 |
-5,108 |
Rotation Age of Major Frequency Registered in Chile for Pinus Radiata : 20 Years Old
Annual Medium Growth equal to 25 m3/ha/year
p-c |
15.09 |
$ / m3 |
R |
1,002 |
$ / ha |
Co |
530 |
$ / ha |
H(T) |
7,545 |
$ / ha |
r |
7.97% |
T |
20 |
yrs |
|
S(T) |
1,258 |
$ / ha |
t |
q(t) |
H(T) |
R |
S(t) |
SEV(t) |
D(t) |
0 |
  |
  |
  |
  |
1,788 |
148 |
1 |
25 |
  |
  |
  |
1,936 |
161 |
2 |
50 |
  |
  |
  |
2,097 |
174 |
3 |
75 |
  |
  |
  |
2,271 |
188 |
4 |
100 |
  |
  |
  |
2,459 |
204 |
5 |
125 |
  |
  |
  |
2,663 |
221 |
6 |
150 |
  |
  |
  |
2,884 |
239 |
7 |
175 |
  |
  |
  |
3,124 |
259 |
8 |
200 |
  |
  |
  |
3,383 |
281 |
9 |
225 |
  |
  |
  |
3,663 |
304 |
10 |
250 |
  |
  |
  |
3,967 |
329 |
11 |
275 |
  |
  |
  |
4,296 |
356 |
12 |
300 |
  |
  |
  |
4,653 |
386 |
13 |
325 |
  |
  |
  |
5,039 |
418 |
14 |
350 |
  |
  |
  |
5,457 |
453 |
15 |
375 |
  |
  |
  |
5,910 |
490 |
16 |
400 |
  |
  |
  |
6,400 |
531 |
17 |
425 |
  |
  |
  |
6,931 |
575 |
18 |
450 |
  |
  |
  |
7,506 |
623 |
19 |
475 |
  |
  |
  |
8,129 |
674 |
20 |
500 |
  |
  |
  |
8,803 |
0 |
20 |
500 |
7,545 |
1,002 |
1,258 |
8,803 |
-7,015 |
Economical Solution of Faustmann-Pressler -Ohlin (Infinite Cycles of Plantation): 18 years old
p-c |
12.57 |
$ / m3 |
R |
629 |
$ / ha |
Co |
530 |
$ / ha |
H(T) |
4,865 |
$ / ha |
r |
7.97% |
T |
18 |
yrs |
|
S(T) |
825 |
$ / ha |
t |
q(t) |
H(T) |
R |
S(t) |
SEV(t) |
D(t) |
0 |
  |
  |
  |
  |
1,355 |
112 |
1 |
0 |
  |
  |
  |
1,468 |
122 |
2 |
0 |
  |
  |
  |
1,590 |
132 |
3 |
4 |
  |
  |
  |
1,722 |
143 |
4 |
12 |
  |
  |
  |
1,864 |
155 |
5 |
24 |
  |
  |
  |
2,019 |
167 |
6 |
39 |
  |
  |
  |
2,187 |
181 |
7 |
57 |
  |
  |
  |
2,368 |
196 |
8 |
77 |
  |
  |
  |
2,564 |
213 |
9 |
100 |
  |
  |
  |
2,777 |
230 |
10 |
124 |
  |
  |
  |
3,008 |
249 |
11 |
150 |
  |
  |
  |
3,257 |
270 |
12 |
178 |
  |
  |
  |
3,527 |
293 |
13 |
207 |
  |
  |
  |
3,820 |
317 |
14 |
236 |
  |
  |
  |
4,137 |
343 |
15 |
266 |
  |
  |
  |
4,480 |
372 |
16 |
297 |
  |
  |
  |
4,852 |
402 |
17 |
327 |
  |
  |
  |
5,254 |
436 |
18 |
358 |
  |
  |
  |
5,690 |
0 |
18 |
387 |
4,865 |
629 |
825 |
5,690 |
-4,335 |
Other Premises and Assumptions
In order to carry out the calculations the following premises and assumptions were taken in consideration:
a) The costs of exploitation of an hectare of Pinus radiata stays constant during all the period of analysis. It was estimated for 24, 20 and 18 years.(See Table 5)
b) The price on site of a cubic meter of Pinus radiata wood equal to 25 US$/ m3.. It was valued constant for all of the period of analysis. (See Table 4)
c) The real utilized annual interest rate (r) is 7.97%, which is close to the interest rates that the managers of the forestry industry use when they borrow money for the long term. For its calculation, it was deflected 6.6%, the appraisal of inflation corresponding to the year 1996. The nominal annual interest rate of 8.5% for the long term credits. The real interest rate stays constant during all the period of analysis.
d) All the calculations have been carried out in dollars of 1996. The average type of change corresponding to that year was of 1US$= $Ch 396.773. Source: Central Bank of Chile. Monthly Bulletin N° 8733, July 1997.
e) The information registered by INFOR on the Inventory of Plantations of Pinus radiata is complete- by age range- for the years 1985 to 1996. However, it was necessary estimate the information for the day of plantations of the year 1985, 1986 and 1987, which according to the statistics, should be included in the range of age 1 – 5 years. That is why, to determine the right numbers for each age, every range was divided by 5. In all cases, the figures are nets of forest fires and plagues. The coefficient’s estimate of the losses for plagues, illness and blazes for the Pinus radiata, already applied by INFOR in their statistics , are contained in the Introduction of the Environmental Accounting in the National Bills of the Central Bank of Chile Project. Investigation financed by the Central Bank of Chile and executed by the Forest Institute in collaboration with the Department of Agrarian Economy of the Catholic University of Chile. 1996.
f) To verify the consistency of the figures given by INFOR, a follow-up of the plantations between 1955 and 1996 was done to determine the planted surface by age without taking into account the losses by fire, plagues and harvest. These figures compared to the registered by INFOR are consistent in spite of the fact that they present with a range of 5 years.
g) The principal destinations of the Pinus radiata harvest are saw logs (80%) and pulp wood (20%). The registrations of current demand shows a preferential behaviour for pulp wood products over saw wood products. It is estimated that 96% of the net production coming of the Eucalyptus sp. forests, including thinning, is oriented towards pulp or derived products.
Utilized Information. Explanatory Notes.
Following is the detailed information that was utilized in order to calculate the Appreciation of the Forest Resource Pinus radiata.
Planted surface of pinus radiata for age.
The planted surface of Pinus radiata for age for the period 1985 – 1996 has been obtained from the official figures published by the Chilean Forest Institute (INFOR). These figures are nets of harvests and losses from forest fires and plagues.
The utilized information presents the forest hectares assembled in categories of age, with ranges of 5 years. To estimate the corresponding hectares for each age class, a simple average for range of age was calculated. The basic information is presented in Table 3.
The harvested hectares in each year were added, before the nets of harvest and of plagues and fires, to determine the hectares of standing crop.
A special calculation for the age 0 has been carried out for the years 1985, 1986 and 1987. The plantations of age 0, according to the official figures of INFOR, are included in the range of ages 1-5 years. To get them, the standard of survival which is equivalent to an average of 75%, was applied to the net plantation figures; getting this way the net plantations for the year 0, which are at the same time, subtracted of the range of ages 1-5 years.
Table 3
Planted Surface of Pinus Radiata by Year and Age.
(In Standing Crop Hectares).
Year |
Harvest |
Age |
||||||||
0 |
1 - 5 |
6 - 10 |
11 - 15 |
16 - 20 |
21 - 25 |
26 - 30 |
31 & more |
TOTAL |
||
1996 |
35,990 |
60,300 |
380,483 |
309,413 |
312,658 |
252,242 |
65,346 |
4,319 |
1,624 |
1,386,385 |
1995 |
37,095 |
63,982 |
356,279 |
316,349 |
325,863 |
251,912 |
58,040 |
5,460 |
1,861 |
1,379,746 |
1994 |
32,011 |
63,162 |
370,731 |
313,010 |
306,935 |
247,696 |
64,040 |
5,555 |
4,757 |
1,375,886 |
1993 |
29,252 |
84,157 |
361,967 |
305,888 |
306,815 |
230,805 |
62,368 |
4,292 |
4,626 |
1,360,918 |
1992 |
28,014 |
81,868 |
337,235 |
314,457 |
301,866 |
208,987 |
59,323 |
6,175 |
2,901 |
1,312,812 |
1991 |
22,748 |
75,416 |
322,740 |
365,354 |
302,981 |
165,884 |
51,798 |
14,106 |
7,046 |
1,305,325 |
1990 |
21,435 |
61,310 |
325,626 |
344,426 |
309,624 |
142,272 |
40,307 |
10,363 |
9,365 |
1,243,293 |
1989 |
20,069 |
64,881 |
326,693 |
303,244 |
303,431 |
141,437 |
32,086 |
9,267 |
11,248 |
1,192,287 |
1988 |
22,189 |
61,405 |
322,574 |
306,078 |
279,600 |
124,456 |
28,441 |
12,803 |
12,401 |
1,147,758 |
19871/ |
20,907 |
41,540 |
324,712 |
309,401 |
282,197 |
133,911 |
38,805 |
12,746 |
16,316 |
1,159,628 |
19861/ |
16,926 |
41,294 |
325,122 |
315,261 |
255,438 |
113,799 |
36,986 |
19,483 |
14,402 |
1,121,785 |
19851/ |
17,313 |
60,185 |
351,486 |
325,190 |
195,187 |
96,100 |
34,734 |
25,280 |
12,273 |
1,100,435 |
Source: Own elaboration on figures of INFOR.
1/
The official figures of INFOR, for these 3 years, corresponding to the range of ages 1-5, include the plantations of age 0. It has been necessary to separate the figures for each range of age, taking on that only 75% of the plantations of the year 0 survived.
Figure 3
Planted Surface of Pinus Radiata
(Hectares)
In the projection, a volumetric growth equal to 25 m3/ha/year is supposed, and corresponds to the pondered average calculated for the country. In Chile, Pinus radiata grows in an extension of more than 1,000 kilometers of surface.
In order to determine the rhythm of the volumetric growth of Pinus radiata, in annual m3 per hectare, the following variables are considered : Zones of mayor concentration of plantations, site index2 and site class.
Prices
In order to calculate the Actual Value of the Pinus radiata forest resource, the on the site costs of wood was utilized. This, to their time, was determined from the costs of wood put in factory, to who the expenses for concept of discharge and patio, transport from the forest until the plant and hauling were discounted.
Table 4
On The Site Price Calculation
(Us$/M3)
Items |
P. radiata |
Mill Price |
45 |
Unloading |
-4 |
Transport (forest – mill) |
-14 |
Extraction |
-2 |
On the site price |
25 |
Harvest |
-5.5 |
Road construction |
-2 |
Standing forest price |
17.5 |
Source: Elaboration on figures of the INFOR
The evolution of the real prices for Pinus radiata logs for the period 1986 – 1996 are shown in Table 15.
Cost Of O n Site Production Of 1 M3 Of Pinus Radiata.
In order to calculate the cost of on site production of an hectare of Pinus radiata, the following items were considered : Establishment of the Plantation, Fire prevention maintenance, Administration, Protection and Road Construction.
In order to determine the average cost of on site production of 1 m3 of wood, the following assumptions were taken in consideration:
•To calculate the volumetric growth have been used a Logistics Function.
•The final objective of forestation is to produce saw logs (80%) and pulp wood (20%).
•Two commercial thinnings and 3 prunes are realized in the 20 year period.
Table 5
Cost of Production of Pinus Radiata1/.
Establishment: 530 US$/ha
Figures in US$/m3
24 years old |
20 years old |
20 years old (*) |
18 years old |
|
Harvest |
5.29 |
6.59 |
5.50 |
7.68 |
Road construction |
2.00 |
2.00 |
2.00 |
2.00 |
Fire prevention maintenance |
2.43 |
2.08 |
1.73 |
1.98 |
Administration and Protection |
0.95 |
0.81 |
0.68 |
0.77 |
SOURCE: Own elaboration on figures of INFOR
(*) Estimated for function linear: 25 m3/ha/year, INFOR.
1/ The cost of management was not included because it finances itself with the output from the thinned and pruned wood sales.
Cost of Establishment.
The cost of establishment varies according to the initial considerate density and includes the following tasks: Underbrush clearance, burning, fencing, soil preparation, fire prevention, plantation, control of overgrowths and/ or rodents and fertilization.
The initial value of the establishment of the plantation in the year zero, according to INFOR, is of 530 US$/ ha.
Cost of Harvest.
It includes: Cutting, logging and encampment installation.
Fire Control Maintenance.
The annual cost is of 19 US$/ ha/ year. The Future Value of this annuality was calculated, for: 24, 20 and 18 years and to an annual interest rate of the 7.97%.
Administration and Protection
Includes: Surveillance, supervision, minor maintenance, insurance against fire and disasters, plague control labors, and fire fighting.
The cost of Administration and Protection are, according to INFOR, of 7.4 US$/ha/year. The Future Value of this annuality was calculated for : 24, 20 and 18 years to an interest rate of the 7.97%.