Economic Aspects of the Timber-Production Function in Different Forest Stand Types
Abstract
1. Introduction
2. Materials and Methods
2.1. Geographical Location of the Study Plots
2.2. Basic Characteristics of the Study Plots
2.3. Classification of Stands According to the Degree of Species and Structural Differentiation
2.4. Rules for Measurement and Assortment Classification on the Sample Plots
2.5. Methodology for Determining Price Inputs
2.6. Methodology for Determining Cost Inputs
- forest regeneration
- tending of forest crops
- cleaning operations (pre-commercial thinning)
- forest protection
- total silvicultural operations
- timber harvesting (Extraction distances to the roadside timber depot within the evaluated stands range from approximately 60 to 680 m (median = 220 m). These values represent normative extraction distances corresponding to standard operational conditions in forestry and serve as an explanatory reference for the cost items associated with timber harvesting and extraction)
- timber extraction (skidding/forwarding)
- timber transport
- maintenance and repair of forest roads
2.7. Methodology for Assessing the Economic Efficiency of Monocultures and Mixed Forests
- Cost coefficient (Kn) is defined as the ratio of total costs to total revenues and expresses how many monetary units of cost are required to generate one monetary unit of revenue. This formulation reflects an economic perspective on efficiency rather than a purely technical cost-per-output measure. Lower Kn values indicate higher cost efficiency and are particularly useful for assessing the economic viability of management, especially in mixed stands where the cost structure may be more complex due to multiple tree species and differing silvicultural requirements.
- Economic efficiency coefficient (Ke) is defined as the inverse ratio (Ke = TR/TC) and indicates how many monetary units of revenue are generated per unit of cost. Higher Ke values reflect better economic performance and facilitate comparison across stand types, including monocultures and mixed stands, which may differ in both revenue structure and management intensity.
3. Results
4. Discussion
- (i)
- operationally (short- to medium-term), the targeted strengthening of the share of assortment classes I–III across stands through improved assortment optimization and cost management leads to improved Kn and Ke values regardless of stand category;
- (ii)
- strategically (long-term), economic evaluations should systematically incorporate disturbance risks, carbon flows, and protective functions.
5. Conclusions
Author Contributions
Funding
Data Availability Statement
Acknowledgments
Conflicts of Interest
References
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| Stand Type ID | Stand Category | Aspect 1 | Slope (°) | BA/ha | V/ha | n/ha | Age 2 |
|---|---|---|---|---|---|---|---|
| LDM_PO_A_BO | low-diversity mixed stand | W | 1.2 | 39.2 | 444.0 | 494 | 90–100 |
| M_PO_A_DB | monoculture | W | 3.4 | 40.1 | 475.6 | 420 | 90–100 |
| MX_PO_B | mixed stand | W | 3.4 | 31.4 | 335.8 | 352 | 90–100 |
| SD_PO_C | structurally differentiated stand | W | 5.7 | 45.4 | 489.7 | 693 | 90–100 |
| M_HK_A_BO | monoculture | Flat | 0 | 31.0 | 327.1 | 542 | 91–95 |
| M_HK_A_DB | monoculture | Flat | 0 | 27.3 | 225.5 | 543 | 91–95 |
| LDM_HK_B | low-diversity mixed stand | Flat | 0 | 36.8 | 404.3 | 800 | 91–95 |
| SD_HK_C | structurally differentiated stand | E | 1.2 | 50.3 | 450.5 | 1 191 | 91–95 |
| M_SU_A_SM | monoculture | SW | 5.7 | 44.5 | 579.9 | 305 | 90–100 |
| MX_SU_B_BO_SM | mixed stand | E | 11.3 | 46.2 | 529.9 | 370 | 90–100 |
| MX_SU_B_SM_BK | mixed stand | SW | 9.1 | 36.9 | 436.9 | 320 | 90–100 |
| SD_SU_C | structurally differentiated stand | E | 5.7 | 35.8 | 371.6 | 306 | 90–100 |
| M_KR_A_BK | monoculture | SE | 5.7 | 41.2 | 662.0 | 450 | 90–100 |
| M_KR_A_SM | monoculture | E | 9.1 | 55.6 | 850.0 | 375 | 85–95 |
| MX_KR_B | mixed stand | SW | 3.4 | 40.7 | 503.9 | 472 | 85–95 |
| SD_KR_C | structurally differentiated stand | W | 5.7 | 31.8 | 244.7 | 578 | 100–120 |
| M_BE_I_A | monoculture | SE | 16.7 | 61.5 | 836.7 | 200 | 100–110 |
| LDM_BE_I_B | low-diversity mixed stand | SE | 13.5 | 79.5 | 1216.3 | 292 | 100–110 |
| SD_BE_I_C | structurally differentiated stand | E | 15.6 | 78.1 | 1152.7 | 325 | 100–110 |
| M_BE_II_A | monoculture | E | 18.8 | 87.0 | 1464.5 | 256 | 120–130 |
| M_BE_II_B | monoculture | W | 19.8 | 51.4 | 769.4 | 264 | 120–130 |
| SD_BE_II_C | structurally differentiated stand | W | 13.5 | 81.4 | 1304.0 | 338 | 120–130 |
| M_BE_III_A | monoculture | NW | 16.7 | 70.7 | 928.5 | 262 | 130–140 |
| SD_BE_III_C | structurally differentiated stand | SW | 13.5 | 73.1 | 1141.8 | 350 | 130–140 |
| Stand Type ID | I_II_m3 | III_AB_m3 | III_CD_m3 | IV_m3 | V_VI_m3 | Σ in m3 |
|---|---|---|---|---|---|---|
| LDM_PO_A_BO | 64.2 | 223.5 | 152.2 | 46.9 | 73.8 | 560.5 |
| Tree species composition | BO 100.0% | BO 77.5%; DB 22.5% | BO 76.8%; DB 22.6%; SM 0.6% | BO 84.4%; DB 13.6%; SM 2.0% | BO 65.4%; DB 34.2%; SM 0.3% | |
| M_PO_A_DB | 79.4 | 230.7 | 197.0 | 54.4 | 84.2 | 645.7 |
| Tree species composition | DB 100.0% | DB 96.6%; LP 2.0%; HB 0.9%; SM 0.5% | DB 97.4%; SM 1.5%; HB 0.5%; LP 0.5% | DB 80.1%; SM 7.2%; HB 6.4%; LP 6.2% | DB 82.3%; HB 9.4%; LP 5.9%; SM 2.4% | |
| MX_PO_B | 24.5 | 137.9 | 128.4 | 40.2 | 73.6 | 404.5 |
| Tree species composition | BO 83.1%; DB 14.1%; LP 2.8% | BO 71.2%; DB 27.6%; SM 1.2% | DB 53.0%; BO 45.7%; LP 1.3% | BO 69.6%; DB 26.3%; SM 4.1% | DB 61.5%; BO 34.7%; LP 2.1%; BR 1.1%; SM 0.7% | |
| SD_PO_C | 72.4 | 204.2 | 111.0 | 54.1 | 85.9 | 527.5 |
| Tree species composition | BO 100.0% | BO 96.5%; DB 3.5% | BO 87.6%; DB 12.4% | BO 91.0%; DB 9.0% | BO 53.2%; SM 23.7%; DB 23.1% | |
| M_HK_A_BO | 21.8 | 126.9 | 155.8 | 31.7 | 12.5 | 348.6 |
| Tree species composition | BO 100.0% | BO 100.0% | BO 100% | BO 99.3%; SM 0.7% | BO 99.7%; SM 0.3% | |
| M_HK_A_DB | 3.4 | 25.7 | 125.2 | 29.4 | 33.1 | 216.7 |
| Tree species composition | DB 100.0% | DB 92.2%; BO 7.8% | DB 97.5%; BO 1.8%; BR 0.7% | DB 93.6%; BO 4.7%; BR 1.7% | DB 98.1%; BR 1.7%; BO 0.3% | |
| LDF_HK_B | 46.2 | 135.4 | 196.9 | 40.2 | 21.5 | 440.2 |
| Tree species composition | BO 81.2%; BK 16.7%; DB 2.1% | BO 90.4%; DB 7.1%; BK 2.5% | BO 91.0%; DB 6.8%; BK 2.2% | BO 72.2%; DB 27.8% | BO 67.2%; DB 28.9%; BK 2.6%; LP 1.3% | |
| SD_HK_C | 39.0 | 132.6 | 257.5 | 52.3 | 31.9 | 513.2 |
| Tree species composition | BO 85.9%; DB 9.7%; DBC 4.5% | BO 97.8%; DBC 1.7%; BR 0.5% | BO 87.8%; SM 6.9%; DBC 2.5%; DB 2.2%; BR 0.7% | BO 80.5%; SM 13.8%; DBC 2.5%; DB 2.1%; BR 1.1% | BO 52.4%; DBC 33.3%; SM 7.7%; DB 5.9%; BR 0.7% | |
| M_SU_A_SM | 0 | 77.2 | 461.1 | 34.8 | 114.6 | 687.8 |
| Tree species composition | - | SM 90.7%; JD 9.3% | SM 98.4%; JD 1.0%; BK 0.6% | SM 96.3%; JD 2.6%; BK 1.1% | SM 88.5%; BK 11.4%; JD 0.1% | |
| MX_SU_B_BO_SM | 0 | 133.6 | 291.0 | 41.9 | 85.7 | 552.2 |
| Tree species composition | - | SM 57.2%; BO 42.8% | SM 85.9%; BO 13.8%; JD 0.3% | SM 75.0%; BO 23.3%; JD 1.7% | SM 93.3%; BO 6.1%; JD 0.6% | |
| MX_SU_B_SM_BK | 12.8 | 39.4 | 287.7 | 22.8 | 62.8 | 425.4 |
| Tree species composition | SM 100.0% | SM 53.7%; BK 41.5%; BO 4.8% | SM 86.7%; BK 12.1%; BO 1.2% | BK 50.4%; SM 43.6%; JD 2.3%; JV 2.0%; BO 1.7% | SM 58.7%; BK 39.5%; JV 1.2%; JD 0.5%; BO 0.1% | |
| SD_SU_C | 0 | 17.07 | 366.1 | 54.6 | 88.6 | 526.4 |
| Tree species composition | - | SM 100.0% | SM 84.5%; BO 15.5% | SM 84.1%; BO 15.9% | SM 80.0%; BO 20.0% | |
| M_KR_A_BK | 31.0 | 211.7 | 171.7 | 38.5 | 179.1 | 632.0 |
| Tree species composition | BK 100.0% | BK 91.4%; MD 7.7%; SM 1.0% | BK 91.1%; MD 3.4%; JD 2.7%; SM 2.5%; KL 0.4% | BK 85.7%; MD 7.3%; KL 3.2%; JD 2.4%; SM 1.4% | BK 97.0%; SM 1.5%; MD 1.1%; KL 0.2%; JD 0.2% | |
| M_KR_A_SM | 168.2 | 304.4 | 164.0 | 116.2 | 66.9 | 819.6 |
| Tree species composition | SM 85.6%; MD 10.0%; BO 4.4% | SM 96.4%; MD 2.4%; BO 1.2% | SM 92.1%; BO 4.9%; MD 3.0% | SM 95.8%; MD 2.4%; BO 1.8% | SM 96.7%; BO 2.8%; MD 0.5% | |
| MX_KR_B | 32.0 | 130.5 | 164.1 | 36.0 | 116.0 | 478.6 |
| Tree species composition | SM 56.3%; DG 34.0%; BK 9.7% | SM 56.2%; BK 30.0%; JD 9.9%; DG 2.1%; BO 1.8% | SM 59.3%; BK 28.4%; JD 8.7%; DG 2.6%; BO 1.1% | SM 52.2%; BK 42.1%; BO 2.2%; DG 1.8%; JD 1.8% | BK 71.5%; SM 24.4%; DBZ 2.1%; JD 1.6%; BO 0.3%; DG 0.1% | |
| SD_KR_C | 10.6 | 50.3 | 137.8 | 41.6 | 60.6 | 300.9 |
| Tree species composition | JD 63.6%; SM 36.4% | JD 56.1%; SM 26.4%; BK 17.4% | JD 50.0%; SM 45.3%; BK 4.3%; DBZ 0.5% | SM 51.3%; JD 38.8%; BK 7.9%; DBZ 1.4%; BO 0.6% | SM 46.7%; JD 33.5%; BK 14.7%; BR 2.6%; DBZ 2.0%; BO 0.5% | |
| M_BE_I_A | 0 | 289.3 | 208.4 | 52.1 | 88.6 | 638.4 |
| Tree species composition | - | SM 96.8%; JD 3.2% | SM 84.0%; JD 14.0%; BK 2.0% | SM 97.9%; JD 2.1% | SM 94.8%; JD 3.5%; BK 1.8% | |
| LDM_BE_I_B | 23.7 | 383.2 | 406.5 | 29.8 | 136.1 | 979.4 |
| Tree species composition | SM 100.0% | SM 98.7%; BK 1.3% | SM 95.1%; BK 4.9% | SM 95.5%; BK 4.5% | SM 92.7%; BK 7.3% | |
| SD_BE_I_C | 22.1 | 383.5 | 273.7 | 33.5 | 158.0 | 870.8 |
| Tree species composition | SM 100.0% | SM 88.1%; JD 7.5%; BK 4.3% | SM 89.9%; JD 6.7%; BK 3.3% | SM 93.6%; BK 6.4% | SM 79.8%; BK 13.3%; JD 7.0% | |
| M_BE_II_A | 29.2 | 433.6 | 417.0 | 49.6 | 164.5 | 1093.9 |
| Tree species composition | SM 100.0% | SM 100.0% | SM 99.5%; BK 0.5% | SM 100.0% | SM 99.2%; BK 0.8% | |
| M_BE_II_B | 16.8 | 219.6 | 345.3 | 18.9 | 102.7 | 703.2 |
| Tree species composition | SM 100.0% | SM 90.2%; BK 5.8%; JD 4.0% | SM 93.1%; BK 4.6%; JD 2.3% | SM 91.9%; BK 5.6%; JD 2.6% | SM 84.6%; BK 10.1%; JD 5.3% | |
| SD_BE_II_C | 10.5 | 455.7 | 363.8 | 36.4 | 119.7 | 986.1 |
| Tree species composition | SM 100.0% | SM 99.7%; BK 0.3% | SM 98.9%; BK 1.1% | SM 100.0% | SM 99.0%; BK 1.0% | |
| M_BE_III_A | 3.5 | 249.0 | 309.1 | 34.3 | 92.9 | 688.8 |
| Tree species composition | JD 100.0% | SM 92.5%; JD 7.5% | SM 94.4%; JD 5.6% | SM 89.3%; JD 10.7% | SM 97.0%; JD 3.0% | |
| SD_BE_III_C | 30.9 | 371.3 | 297.5 | 40.5 | 141.7 | 881.8 |
| Tree species composition | SM 100.0% | SM 84.0%; JD 12.2%; BK 3.8% | SM 85.5%; BK 7.4%; JD 7.0% | SM 78.8%; JD 16.3%; BK 5.0% | SM 65.9%; JD 24.9%; BK 9.2% |
| Stand Type ID | Total Stand Revenues for Assortments I–VI | Average Revenue per m3 of Assortments I–III (Coniferous) | Average Revenue per m3 of Assortments I–III (Broadleaved) | Average Revenue per m3 (Assortments I–VI) |
|---|---|---|---|---|
| LDM_PO_A_BO | 1,132,428.2 (45,673.5) | 1835.4 (74.0) | 4138.4 (166.9) | 2085.7 (84.1) |
| M_PO_A_DB | 3,006,720.4 (121 268.1) | 2052.4 (82.8) | 5690.0 (229.5) | 2496.5 (100.7) |
| MX_PO_B | 909,485.2 (36,681.7) | 1748.2 (70.5) | 4138.5 (166.9) | 2057.9 (83.0) |
| SD_PO_C | 906,269.6 (36,552.0) | 1865.5 (75.2) | 3749.1 (151.2) | 1994.1 (80.4) |
| M_HK_A_BO | 540,594.3 (21,803.4) | 1626.1 (65.6) | – | 886.0 (35.7) |
| M_HK_A_DB | 668,372.5 (26,957.0) | 1485.6 (59.9) | 3835.1 (154.7) | 1955.2 (78.9) |
| LDM_HK_B | 788,249.6 (31,791.9) | 1700.2 (68.6) | 3605.8 (145.4) | 1930.8 (77.9) |
| SD_HK_C | 838,800.7 (33,830.8) | 1666.6 (67.2) | 3302.6 (133.2) | 1767.5 (71.3) |
| M_SU_A_SM | 1,175,506.4 (47,410.9) | 1918.5 (77.4) | 1969.5 (79.4) | 1545.8 (62.3) |
| MX_SU_B_BO_SM | 932,233.8 (37,599.2) | 1914.9 (77.2) | – | 712.1 (28.7) |
| MX_SU_B_SM_BK | 748,541.0 (30,190.4) | 1899.0 (76.6) | 2044.2 (82.4) | 1560.1 (62.9) |
| SD_SU_C | 828,851.6 (33,429.5) | 1810.8 (73.0) | – | 688.3 (27.8) |
| M_KR_A_BK | 1,221,755.1 (49,276.2) | 2470.4 (99.6) | 2194.5 (88.5) | 1776.6 (71.7) |
| M_KR_A_SM | 1,705,581.4 (68,790.1) | 2388.9 (96.3) | – | 1133.0 (45.7) |
| MX_KR_B | 860,480.9 (34,705.2) | 2025.4 (81.7) | 2108.3 (85.0) | 1630.5 (65.8) |
| SD_KR_C | 470,444.8 (18,974.1) | 1717.4 (69.3) | 2106.2 (84.9) | 1569.8 (63.3) |
| M_BE_I_A | 1,159,029.7 (46,746.4) | 2057.5 (83.0) | 1881.8 (75.9) | 1579.0 (63.7) |
| LDM_BE_I_B | 1,867,328.3 (75,313.7) | 2112.4 (85.2) | 1934.3 (78.0) | 1583.6 (63.9) |
| SD_BE_I_C | 1,611,497.1 (64,995.4) | 2090.9 (84.3) | 2140.3 (86.3) | 1644.3 (66.3) |
| M_BE_II_A | 2,043,742.9 (82,428.9) | 2103.6 (84.8) | 1798.6 (72.5) | 1554.4 (62.7) |
| M_BE_II_B | 1,325,895.8 (53,476.5) | 2078.3 (83.8) | 2073.5 (83.6) | 1620.4 (65.4) |
| SD_BE_II_C | 1,897,148.7 (76,516.4) | 2115.7 (85.3) | 2056.2 (82.9) | 1622.3 (65.4) |
| M_BE_III_A | 1,253,340.4 (50,550.1) | 2019.4 (81.4) | – | 739.2 (29.8) |
| SD_BE_III_C | 1,663,668.2 (67,099.6) | 2096.1 (84.5) | 2059.6 (83.1) | 1656.3 (66.8) |
| Cost Type | Unit | Amount in Thousand CZK/Unit |
|---|---|---|
| forest regeneration | ha | 108,388.4 (4371.6) |
| tending of forest crops | ha | 14,304.4 (576.9) |
| cleaning operations (pre-commercial thinning) | ha | 16,211.8 (653.9) |
| forest protection | ha | 287.2 (11.6) |
| total silvicultural operations | ha | 4282.4 (172.7) |
| timber harvesting | m3 | 309.0 (12.5) |
| timber extraction (skidding/forwarding) | m3 | 234.4 (9.5) |
| timber transport | m3 | 130.4 (5.3) |
| maintenance and repair of forest roads | ha | 897.0 (36.2) |
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Michal, J.; Kománek, M.; Černý, J.; Březina, D. Economic Aspects of the Timber-Production Function in Different Forest Stand Types. Forests 2026, 17, 827. https://doi.org/10.3390/f17070827
Michal J, Kománek M, Černý J, Březina D. Economic Aspects of the Timber-Production Function in Different Forest Stand Types. Forests. 2026; 17(7):827. https://doi.org/10.3390/f17070827
Chicago/Turabian StyleMichal, Jakub, Martin Kománek, Jakub Černý, and David Březina. 2026. "Economic Aspects of the Timber-Production Function in Different Forest Stand Types" Forests 17, no. 7: 827. https://doi.org/10.3390/f17070827
APA StyleMichal, J., Kománek, M., Černý, J., & Březina, D. (2026). Economic Aspects of the Timber-Production Function in Different Forest Stand Types. Forests, 17(7), 827. https://doi.org/10.3390/f17070827

