UC-NRLF B 3 TSS bDS EXCHANGE EXCHANGE -. -i 13 i^6 The Cost of Growing Timber in the Pacific Northwest, as Related to the Interest Rates Available to Various Forest Owners BY BURT P. KIRKLAND Associate Professor of Forestry University of Washington Reprinted from the Forest Club Annual, 1915 Seattle University of Washington 1915 The Cost of Growing Timber in the Pacific Northwest, as Related to the Interest Rates Available to Various Forest Owners BY HURT P. KIRKLAND Associate Professor of Forestry University of Washington Reprinted from the Forest Club Annual, 1915 Seattle University of Washington 1915 THE COST OF GKOWING TIMBER IN THE PACIFIC NORTH- WEST, AS RELATED TO THE INTEREST RATES AVAILABLE TO VARIOUS FOREST OWNERS BURT P. KIRKLAND, Associate Professor of Forestry The cost per acre of growing timber anywhere depends on five main factors, viz. (1) The value of the land, (2) The cost of stocking it with young trees, (3) The administration of the operation and protection of the young timber, (4) The taxes, (5) The rate of interest. The cost per thousand feet depends in addition upon the productivity of the land in- volved. For the purpose of this discussion, however, the statement may best be put in another way, namely, that the costs per acre are as follows : (1) Interest on the value of the land, (2) The cost of stocking it with young trees, (3) Interest on this amount from time of stocking to maturity, (4) The annual expenses for administration and protection, (5) Interest on each annual expense from time of expenditure to time of maturity of the timber, (6) The annual taxes, (7) Interest on each annual tax from time of payment to maturity of the timber. The total of these costs per acre, divided by the average product per acre gives the cost of producing 1,000 board feet of timber. The amounts for some of these items vary with natural conditions, and of others, with the ownership of the land. Thus state or federal ownership modifies the element of taxes and changes the rate of interest. Private ownership might facilitate administration in some ways, though it can hardly be expected to reduce the cost, owing to the smaller areas administered. The amounts of the various items under various conditions and forms of ownership are discussed below. Interest on the Land Value The cost of cutover lands of supposed agricultural value, or of a nature such that the seller can convince the inexperienced buyer that they have agricultural value would probably run from $10.00 to $50.00 per acre in Washington, where the values are not influenced by proximity to centers of population or other advantages of a similar nature. Hillsides, appear- ing even to the unpracticed eye too steep for agriculture, may be pur chased for $3.00 to $5.00 per acre. The higher values first mentioned are undoubtedly beyond any present use value of the land for agriculture, but the optimism of the West can be depended upon to maintain them, because the buyer of land has sanguine ideas as to the income to be de- rived. If the land is to be used for forestry we must concede that current values must be met. Land which is held at over $10.00 per acre should have agricultural value, and for the present at least, should be considered in that class and no attempt made to use it for forestry. The writer, therefore, believes that in Washington fair values for forest soil would be $10.00 per acre for Quality I, $5.00 for Quality II, and $2.00 for Quality III, re- ferring to three quality yield tables for Douglas fir prepared by the U. S. Forest Service.* These tables classify quality of soil for forest purposes according to its actual productivity. In growing timber it must be re- membered that the soil is not used up by the growth of the timber. The "These yield tables, prepared by E. J. Hanzlik of the U. S. Forest Service are as yet only In manuscript form. (See page 5.) 323444 charge against the growing timber for one rotation, or single crop, is therefore not the soil value, but only the interest on that value for the term of years it takes the timber to grow. Since the timber is not an annual product, the interest cannot be secured annually, but must accumulate until the timber is cut. Hence compound interest is used. What this will amount to at rates applicable to forestry will be discussed later, and shown specifically in the tables forming part of this discussion. Cost of Stocking Land With Trees While space is not here available to take up in detail the cost of stock- ing the land, there is good evidence, that $5.00 per acre is a fair average figure. Although planting on a bare area will cost nearer $10.00, few areas need be chosen which do not bear some young growth or contain some seed trees which will assist artificial regeneration. Areas that have not been cut over can seldom be stocked any cheaper by natural regeneration than by planting, since the value of the seed trees that must be left will usually bring the cost up to the average figure mentioned above unless there are an unusually large number of worthless trees of the desired species which may be used as seed trees. A skillful combination of planting with natural regeneration from stands not yet cut, and artificial regeneration by planting or seeding should bring the operation within this cost. Unlike the land cost, the expense of stocking the land with trees has to be repeated every time the timber is cut. This amount must, therefore, be charged against the product of each planting. Interest on Cost of Stocking Land The interest on the cost of stocking the land might have been included with the foregoing item, but it is here treated separately in order that all interest charges under various kinds of ownership may be segregated. As in the case of interest on the land value, compound interest must be used. The amount of this item at various rates will be shown specifically in tables forming part of this discussion. The Annual Cost of Administration and Protection Kellogg and Ziegler maintain that the annual cost of administration and protection can be handled for five cents per acre.* An analysis of the actual conditions will show that five cents is not sufficient for safety. It must be remembered that this includes office expense, supervision, fire patrol, patrol against trespass, and all other overhead expenses. Although forest fire insurance is not at present one of the expense charges included in this Item, the practicability of insuring forests by an enlargement of the scope of the forest fire protective organizations is such that it is bound to come in the near future. Hence this figure should also be high enough to include forest fire insurance. In the case of the state or the federal government, the losses from fire must be charged to this item. Whatever amount accumulates between planting and cutting a single crop must be charged to that crop. The writer does not therefore, believe that the low figure generally assigned to the annual cost of administration and pro- tection is sufficient, but will assign 20 cents per acre per annum as a reasonable, though entirely sufficient amount. The total first cost, or principal sum of this item per acre charged to a single crop of trees *"Cost of Growing Timber," by R. S. Kellogg and E. A. Ziegler. will be the annual charge (20c) multiplied by the number of years the crop takes to grow. Interest on Administration Costs Compound interest at the chosen rate on each annual amount from the time it is expended until the timber is cut must be calculated. This may be done by compound interest formulae, or taken from such tables as those in Schenk's "Forest Finance."* The specific amounts under certain conditions will be considered later. Annual Taxes The annual taxes is a difficult item to foresee. At present taxes in Washington are all considered under the general property tax (a most unscientific system) averaging perhaps 1 per cent to 2 per cent on the actual value of the property. Since, owing to the urgent need of schools, roads, etc., in a pioneer community, and the absence of improved prop- erty, taxes may now be thought to be high. A rate of 1 per cent on the actual value of the property may perhaps be considered a fair figure when the future is to be taken into consideration. Even if this figure is conceded fair, our difficulties have really just begun because of the changes in value that will take place with time, due to the growth of the stand and to changing land values and stumpage prices, to say nothing of continual changes in assessment methods. The following figures are, however, intended to represent a fair approximation of the values to be expected on Quality I Forest Soil, which, as already stated, is considered to be worth $10.00 per acre. (1) Up to the 20th year of the stand only the soil value of $10.00 per acre would generally be considered by assessors. During this period the taxes at 1 per cent would be 10 cents per acre. (2) From the 21st to the 30th years of the stand perhaps $10.00 per acre might be added to the valuation because of the young stand, making taxes 20 cents per acre per annum. (3) From the 31st to the 40th years of the stand, since it is not yet in the saw timber class, it can best be estimated in cubic feet. It will now contain (on Quality I Soil) 4,000 cubic feet per acre, or about 40 cords, which as pulpwood would be worth, say 50 cents per cord, bringing the total value of land and timber up to $30.00 per acre and the tax to 30 cents per acre per annum during this period. (4) From the 41st to the 50th years the volume will be about 20,000 ft. B. M. per acre, worth on the average (considering increased stumpage prices in the future) at least $3.00 per M., or $60.00 for the whole stand. Hence soil and timber would be worth $70.00 per acre and the annual tax 70 cents. (5) From the 51st to the 60th years the stand would contain an average of about 35,000 ft. B. M., with a stumpage value of say $8.00 per M., hence the total value of stand and soil, $290.00, and the annual tax $2.90 per acre. y To recapitulate, the taxes on Quality I Forest Soil by the general property tax are estimated somewhat as follows: 1st to 20th years, 10 cents per acre per annum. 21st to 30th years, 20 cents per acre per annum. 31st to 40th years, 30 cents per acre per annum. 41st to 50th years, 70 cents per acre per annum. 51st to 60th years, 2.90 cents per acre per annum. *"Forest Finance," by C. A. Schenk. Considering the smaller volumes and poorer qualities with the Quality II soil the taxable values would be worth only about two- thirds as much, and with Quality III soil one-third as much; hence taxes may be assumed to be only two-thirds and one-third as much respectively, both as to first cost and interest accumulated. Taxation will be further discussed on the basis of the cost tables forming part of this discussion, after those tables are presented. Interest on Taxes Under General Property Tax Compound interest must be computed on the amounts paid in taxes from the time paid until the timber is mature. The specific amounts de- pend on the interest rates and the age to which timber is held, and will be considered hereafter. Matters Which Influence the Above Elements of Cost (a) Ownership. The chief classes of forest owners as affecting these elements are the federal government, the state, municipalities, large corporations, small corporations, and individuals. The chief items affected by ownership are: (b) Taxes. The federal government pays 25 per cent of the gross yield directly to the states and expends another 10 per cent on roads, but as the roads are of equal value to the forests only the 25 per cent paid to the states will be considered as a gross yield tax. Lands owned by states and municipalities are also in a sense not subject to tax, but in another sense if we assume that the land would be worked under forest management either publicly or by private owners we may conclude that the state and municipality will lose tax revenue by reason of their land ownership, because of withdrawing lands from taxation, and must there- fore make up from their forest revenue the deficit in their general fund as discussed hereafter. If the federal government and the private owner pay 25 per cent of the gross yield of the forest for taxes, the state and municipality should set aside 25 per cent of the gross forest revenue from stumpage for their general fund. If the municipality is the owner it might be required to pay the state such a part of the 25 per cent set aside as the state's share of the taxes amounts to, and which will otherwise be lost by holding the land in public ownership. If the state were the owner it should pay the munic- ipality, or local taxing body its proper share of the 25 per cent. Of course in practice this system of book-keeping might not be carried out in detail, but in effect it would be, if the practice of forestry proceeded profitably. (c) Interest. This varies more widely with ownership than taxes. The fact that individuals, states, and the nation have to pay different rates is so well known as to need little comment except to name an aver- age rate for each. The writer considers the following a fair average rate for each class of owner: Federal Government 3 per cent. Sfate (Washington) 4 per cent. Municipality 4 % per cent. Large Corporation 4 % to 5 per cent. Moderate Sized Corporation 6 per cent. Small Corporation and Individual 7 per cent. Naturally no owner will, from the standpoint of financial invest- ment, care to engage in forestry unless he can make as high a per cent on his capital as he will have to pay for borrowed capital, or at which he can lend his money. Hence the above rates will be used in calculations. (d) Length of Time Between Planting and Harvest. This in- fluences the amount to which the interest charges on the various items will accumulate. In previous calculations the writer has found the best available evidence seems to indicate about 60 years as giving the highest profits from the use of the soil for private forestry, while 80 to 100 years is more profitable for government forestry. In order to make a comparison as favorable as possible to private forestry, 60 years is chosen for the length of rotation. Specific costs are figured on this basis using the various interest rates already named. Influence of Yield Per Acre on Costs Per Thousand Board Feet. Except for the interest on the soil value and the taxes with interest there- on, the foregoing elements of cost per acre will not vary widely on dif- ferent qualities of soil. It is, of course, common knowledge that the yield on different soil qualities will vary greatly. This variation is even greater than generally supposed. The United States Forest Service has made a careful study of this subject in Western Washington and Oregon, the results of which have unfortunately only in part been published. In this study measurements were taken of stands on a wide variety of soils which were classified into three qualities on the basis of the yields found. Quality I or first quality 44 M. per acre, Quality II or medium quality 32 M. feet per acre and Quality III or poorest quality 16% M. feet per acre for the same period. Obviously, then, if the cost per acre of growing the timber remains little changed for the different qualities the cost per 1,000 feet B. M. will be much less in the case of large yields, just as would be the case in an agricultural crop. These results are brought out in tables about to follow, in which the yields shown by the U. S. Forest Service study are used as authoritative. Results of Foregoing Elements Presented in Tabular Form. The definite results of the foregoing elements have been worked out mathe- matically for each item and are presented in the following tables in order to show their relationships, and make comparisons of different interest rates and tax systems as simple as possible. The itemized and total costs to owners working under different interest rates are presented in a single table for each of the soil qualities already mentioned. Costs on Quality I soil are presented in Table I, on Quality II soil in Table III, and on Quality III soil in Table V. The intervening tables present summaries of those mentioned in which the first costs, the interest charges and the tax costs are segregated and their percentage relations to each other computed. On Quality II forest soil the costs per acre are reduced slightly owing to lesser soil value, and hence to less taxes due to the lower soil value and the smaller volume of stand of timber. The land is considered worth $5.00 and the taxes to be two-thirds of what they were on Quality I. The yield according to yield tables prepared by the U. S. Forest Service will be 32,000 ft. B. M. per acre at 60 years. The costs will be as shown for different owners in Table I. Comparing Table III with Table I, it is seen that where interest rates are low, costs per acre are not reduced much below Quality I, but as yield is less the cost per M. is raised, except in the case of 6 per cent and 7 per cent interest rates. Where interest is high, reduction in land TABLE I. Estimated average costs per acre and per M. feet B. M. of growing Douglas fir on Quality I, or best quality forest soil, under a 60 year rotation, computed for interest rates securable by various classes of owners. 0 4-> a ^3 a> ITEMS— O 13 t 0 "Sg S^ MM a 0 _H *^ CJ fl 03 1 2 1 S) .S ~ s10 Hi GJ ^ m G) ^* C ^ fe 02 S 3 S ra Estimated interest rate for various classes of owners 3% 4% 4V2% 5% 6% 7% 'Compound interest on $10.00 soil value, 60 years f 48.91 $95.19 $130.27 $176.79 $319.88 $ 569.48 Cost of stocking land with young trees .... 5.00 5.00 5.00 5.00 5.00 5.00 Compound interest on cost of stocking 24.46 47.59 65.14 88.40 159.94 284.74 Sum of annual charges for administration and protection (20c per year for 60 years) 12.00 12.00 12.00 12.00 12.00 12.00 **Interest on all amounts spent on administra- tion and protection from time incurred to time of cutting 20.61 35.60 45.90 58.71 94.62 150.71 Taxes under general property tax when owner subject to them 43.00 43.00 43.00 Interest on taxes from time planted to time of cutting timber ***52.04 77.40 114.42 Yield tax of 25% on final product f36.99 f65.13 f86.10 Total per acre $147 . 97 $260.51 $344.41 $435.94 $711.84 $1,179.35 Cost per M. when product is 44 M. per acre. The probable yield as shown by U. S. F. S. yield tables $ 3.37 $ 5.92 $ 7.83 $ 9.91 $ 16.17 $ 26.80 *See interest table in Schenck's Forest Finance, Column IV. **See interest table in Schenck's Forest Finance, Column V. **There are at least two methods of computing compound interest on the taxes. The simplest method for purposes of this discussion is to analyze as follows, using the 5 per cent column in Table I. Consider that from the 1st to the 60th year, lOc per annum is paid for taxes. Referring to an interest table, we find that compounded for 60 years this accumulates to $35.36, includ- ing principal and interest. Beginning with the 20th year, an additional lOc per acre is paid for the remiander of the rotation, or 40 years. This amounts to $12.08 during the 40 years. Beginning with the 30th year, another lOc is added to taxes for the remainder of the rotation. This accumulates to $6.64 in the remaining 30 years. Beginning with the 40th year, 40c is added to taxes for the remainder of the rotation. This accumulates to $13.24 in the 20 years. Finally in the 50th year $2.20 more is added to the taxes, which in the 10 years remaining accumulates to $27.72. The total taxes and interest thereon for the rotation amount to $35.36 plus $12.08 plus $6,64 plus $13.24 plus $27.72 equals $95.04, the total accumulated taxes, both principal and interest. Take therefrom $43.00, the principal sums paid, and there remains $52.04, the accu- mulated interest on the taxes. fThis figure represents the cost to the owner of a 25% yield tax when the various items of cost of production are as shown in the same columns. Since a 25 per cent yield tax takes 25 per cent of the product, it is evident that the cost of the the tax to the owner would be one-fourth of the total cost of production, including taxes. All the costs aside from the yield tax would then amount to three-fourths of the total cost and the yield tax would be one-third of the other costs. It is thus that the cost of the yield tax is computed in these tables, that is to say, one-third of the costs aside from taxes is the cost of the 25 per cent yield tax in each case. In case stumpage sells at more than the cost of production all the profits on 25 per cent of the yield go to the state Ur9}J HWB rH o^ onp j^^o^ jo % 0 0 uoH^ao'dJoo' u^uig t- «9- C o Uia^I t[0138 eg bo o^ anp i^;6^ jo % 0 " 0 8 UOIl'BJOfI 0 CO -joo pazis uinip9j\ co Jjj 1 •9- 01 0) O5 -4_> o} anp i^Vo^ jo % CO 05 0 o O # o 0 uouBJOdaoo aSJB-i t- T-l — c 02 5 fr S? to fr 8 2 x o o^ enp IB^O^ jo % CO 1 S m 0 f* 0 yj „ ^^ t- a rH c ui8;i tto-ea o^ anp IB^O^ jo % rH 02 0 •^AO£> fBuape^ co 0 2 t- c w- h *W <— < ^H 3 0 02 ^ c 0 _ — 'A ;J ? ^^ 2 13 tec] 1 «& SS ^•sls 5 g ^ 0 "* ° rH Is 85 and profits will be made by the owner only on the 75 per cent remaining to him. That is, the figures shown in these tables represent the cost of the tax, but its actual amount will depend on the stumpage values at the time of cutting. __ value brings about a much lessened interest charge so that costs are re- duced more than yield. This results in a slightly smaller cost per M. on this Quality of soil. On Quality III forest soil the costs per acre are again reduced slightly, owing to reductions in soil value and in taxes due to a lower soil value and a smaller stand of timber. The land is considered worth $2.00 and the taxes to be one-third of what they were on Quality I. The yield will be only 16,500 feet per acre at 60 years, according to Douglas fir yield tables by E. J. Hanzlik, of the United States Forest Service. The costs of artificial planting would be increased on Quality III because of the unfavorable soil conditions and also because trees should really be planted thicker. On account of the low yield per acre natural regeneration might be the most profitable. The costs for different owners are shown in Table V. TABLE III. Estimated average costs per acre and per M. ft. B. M. of growing Douglas fir on Quality II or medium quality forest soil under a 60 year rotation, com- puted for interest rates securable by various classes of owners. Ss a 2- ft£ •3 o «o o^ - a ° fl£ °.S I i i i ft P & OJ S J <3 W Estimated interest rate paid by owner 3% 4% 4%% 5% 6% 7% Compound interest on es- timated soil value ($5.00), 60 years $24.46 $47.60 $65.14 $88.40 $159.94 $284.74 Cost of stocking land with young trees 5.00 5.00 5.00 5.00 5.00 5.00 Compound interest for 60 years on cost of stock- ing land 24.46 47.60 65.14 88.40 159.94 284.74 Sum of annual charges for administration and pro- tection for 60 years (20c per acre per an- num) 12.00 12.00 12.00 12.00 12.00 12.00 Compound interest on all amounts, spent on ad- mininstration and pro- tection from the time incurred to time of cut- ting 20.61 35.60 45.90 58.71 94.62 150.71 Taxes under general prop- erty tax **28.66 **28.66 **28.66 Interest on Taxes **34.70 **51.60 **76.28 Yield tax 25% on final product *28.84 *49.27 *64.39 Total per acre $115.37 $197.07 $257.57 $315.87 $511.76 $842.13 Total cost per M. on basis of 32 M. per acre yield in 60 years $ 3.61 $ 6.16 $ 8.05 $ 9.87 $ 16.00 $ 26. SI *See foot-note under Table I. **Since, as stated on page 5, the value of the yield on Quality II soil, though three-fourths as much in quantity, will on account of the smaller sized timber not be more than two-thirds as much in value as the yield on Quality I, the taxes have been assumed to be only two-thirds as great. These figures for both the taxes and the interest thereon have therefore been derived directly from corresponding values in Table I by computing two-thirds of each value there as the correct figure for this table. M O j! H * n 0} anp mo} jo pui3 anp IB;O; jo % -aoo pazis tuntpajv anp jo UOt^'BJOdJOO 8SJB1 anp jo anp jo anp jo C<1 U5 CO O US •a ^S fl Q. - fa g ^o 0 I T3 8 d o_ o 4-> ft - N o. ^ ITEMS— 0 1 § «§ 11 i *o K « ft & « K h 8 I a S u S "w S a) !» ^ o; enp i^;o^ jo UOI}T3JOd.IOO H'BUIg anp IB;O; jo -aoo pazts anp I-B;O; jo % anp i^^o; jo anp jo anp jo co ,-1 e- ® 0 r 0) •SE _ >> 0) O — o ft ft £* ITEMS— O « § « nr, o c s i i 1 02 3 0) bo c rt 1 p 02 Interest rate 3% 4% 4V % 5% 6% 7% Total amount saved per acre when thinnings are utilized $ 13.64 $ 16.11 $ 17.53 $ 19.09 $ 22.70 $ 27.12 Amount saved per M. ft. B. M. when final yield is 32 M. per acre $ .42 $ .50 ? .55 $ .59 $ .71 $ .85 TABLE IX. Possible Savings on Cost Due to Thinnings on Quality III Forest Soil s $ § ITEMS— O g - ft « c 0