BibTex RIS Kaynak Göster

Developing generalized height-diameter models for natural brutian pine stands in Antalya district

Yıl 2014, Cilt: 15 Sayı: 1, 44 - 52, 26.05.2014
https://doi.org/10.18182/tjf.01926

Öz

Brutian pine is one of the important commercial species for forest products industry of Turkey. In this study, diameter (d)-height (h) models for natural Brutian pine stands in Antalya District were developed using the breast height diameter and some stand characteristics as regressors. In this study, a total of 16 models, the data used were obtained from 59 sample plots from natural Brutian pine stands in Antalya District, were tested. The available data for the species were split into two sets: the majority (%85) was used to estimate model parameters, and the remaining data (%15) were reserved to validate the models. The performance of the models was compared and evaluated with six model performance criteria. According to the model performance criteria, the best results were obtained with Pienaar (1991-II), Sloboda et al. (1993-I), and Sharma and Parton (2007) models, respectively. The similar results were obtained using independent dataset.
Keywords: Brutian pine, Height, Diameter, Generalized models

Kaynakça

  • Anonymous, 2006. Forest Resources. The General Directorate of Forests, Ankara, 159 pp.
  • Ademe, P., Del Rio, M., Canellas, I., 2008. A mixed nonlinear height-diameter model for hyrenean oak (Querqus pyrenaica Willd.). For. Ecol. Manage. 256 (1- 2): 88-98.
  • Akaike, H., 1974. A New Look at the Statistical Model Identification. IEEE Transactions on Automatic Control AC-19: 716–723.
  • Arabatzis, A.A., Burkhart, H.E., 1992. An evaluation of sampling methods and model forms for estimating height-diameter plantations. For Sci., 38:192-198. in Loblolly pine
  • Calama, R., Montero, G., 2004. Interregional nonlinear height-diemeter model with random coefficients for stone pine in Spain. Can. J. For. Res. 34:150-163.
  • Canadas, N., Garcia, C., Montero, G., 1999. Relacion altura- diametro para Pinus pine aL. En el Sistema Central. Comgreso de Ordenacion y Gestion Sostenible de Montes, Santiago de Compestela, 4-9 octubre. Tomo I, pp. 139-153.
  • Castedo- Dorado, F., Diéguez-Aranda, U., Barrio Anta, M., Sánchez Rodríguez, M., Gadow K.v., 2006. A generalized height–diameter model including random components for radiata pine plantations in northwestern Spain. For. Ecol. Manage., 229:202-213.
  • Colbert, K.C., Larsen, D.R., Lootens, J.R., 2002. Height- diameter equations for thirteen Midwestern bottomland hardwood species. North. J. Appl. For. 19:171-176.
  • Cox, F., 1994. Parameterized models of height. Report of convention enterprises research.
  • Curtis, R.O., 1967. Height–diameter and height–diameter– age equations for second-growth Douglas-fir. For. Sci., 13:365-375.
  • Çapar, C., 2013. Antalya yöresi kızılçam meşçereleri için doğrusal olmayan karışık etkili modeller yardımı ile çap- boy denklemlerinin geliştirilmesi. SDÜ Fen Bilimleri Enstitüsü, Yüksek Lisans Tezi, Isparta, 68 s.
  • Diéguez-Aranda, U., Barrio Anta, M., Castedo Dorado, F., Álvarez González, J.G., 2005. Relación altura-diámetro generalizada para masas de Pinus sylvestris L. procedentes de repoblación en el noroeste de España. Forest Systems (Formerly: Inv Agrar: Sist Rec For) 14(2): 229–241.
  • Diamantopoulou, M.J., Özçelik, R., 2012. Evaluation of different modeling approaches for total tree-height estimation in Mediterranean region of Turkey. For Syst., 21:383-397.
  • Fang, Z., Bailey, R.L., 1998. Height–diameter models for tropical forest on Hainan Island in southern China. For. Ecol. Manage., 110:315-327.
  • Fekedulegn, D., Surtain, M.P.M., Colbert, J.J., 1999. Parameter estimation of nonlinear growth model in forestry. Silv. Fenn., 33:327-336.
  • Gaffrey, D., 1988. Forstamst-und bestandesindivudielles sortimentierungsprogramm als mittel zur plannung, aushaltung und simulation.Diplomarbeit Forscliche Fakultat, Univ. Göttingen.
  • Gonda, H.E., Maguire, D.A., Cortes, G.O., Tesch, S.D., 2004. Stand level height-diameter equations for young ponderosa pine plantations in Nuequen, Patagonia, Argentina: developed in the Western United States. West. J. Appl. For. 19:202-210. applications of equations
  • Huang, S., Price, D., Titus, S.J., 2000. Development of ecoregion-based height–diameter models for white spruce in boreal forests. For. Ecol. Manage., 12:125- 141.
  • Huang, S., Titus, S.J., Wiens, D.P., 1992. Comparison of nonlinear height-diameter functions for major Alberta tree species. Can. J. For. Res., 22: 1297-1304
  • Huang S (1999). Ecoregion-based individual tree height- diameter models for lodgepole pine in Alberta. West J Appl For., 14: 186-193.
  • Hui, G., Gadow, K.v., 1993. Zur Entwicklung von Einheitshöhenkurven am Beispiel der Baumart Cunninghamia lanceolata. Allg. Forst. Lagdztg., 164: 218-220.
  • Jayaraman, K., Zakrzewski, W.T., 2001. Practical approaches to calibrating height-diameter relationships for natural sugar maple stands. For. Ecol. Manage., 148: 169-177.
  • Krumland, B.E., Wensel, L.C., 1988. A generalized height– diameter equation for coastal California species. West. J. Appl. For., 3: 113–115.
  • Lappi, J., 1997. A longitudinal analysis of height-diameter curves. For. Sci., 43: 555-570.
  • Larsen, D.R., Hann, D.W., 1987. Height–diameter equations for seventeen tree species in southwest Oregon. Research paper 49. Forest Research Laboratory, Oregon State University, Corvallis, OR, 16 p.
  • Lei. Y., Parresol, B.R., 2001. Remarks on height-diameter modeling. Res. Note. SRS-10. U.S. Department of Agriculture, Forest Service, Southern research Station, 5p.
  • López Sánchez, C.A., Gorgoso Varela, J., Castedo Dorado, F., Rojo Alboreca, A., Rodríguez Soalleiro, R., Alvarez González, J.G., Sánchez Rodríguez F., 2003. A height- diameter model for Pinus radiata D. Don in Galicia (Northwest Spain). Ann. For. Sci., 60:237-245.
  • Lynch, T.B., Holley, A.G., Stevenson, D.J., 2005. A random-parameter height-diameter model for cherrybarg oak. South. J. Appl. For. 29:22-26.
  • Mehtatalo, L., 2004. A longitudinal height-diameter model for Norway spruce in Finland. Can. J. For. Res. 34:131- 140.
  • Mısır, N., 2010. Generalized height-diameter models for Populus tremula L. stands. African J. Biotech., 9: 4348- 4355.
  • Monnes, E.N., 1982. Diameter distributions and height curves in even-aged stands of Pinus sylvestris L. Medd. No. Inst. Skogforks, 36:1-43
  • Moore, J.A., Zhang, L., Stuch, D., 1996. Height-diameter equations for ten tree species in the Inland Northwest. West. J. Appl. For., 11:132-137.
  • Nagel, J., 1991. Einheitshöhenkurvenmodell für Roteiche. Allg. Forst. Lagdztg, 1:16-18.
  • Newton, P.F., Amponsah, I.G., 2007. Comparative evaluation of five height–diameter models developed for black spruce and jack pine stand-types in terms of goodness-of-fit, lack-of-fit and predictive ability. Forest Ecology and Management, 247:149-166. 1992. Parresol, B.R., Baldcypress height–diameter
  • equations and their prediction confidence interval.
  • Canadian Journal of Forest Research, 22:1429-1434.
  • Peng, C.H., 1999. Nonlinear height-diameter models for nine tree species in Ontario boreal forests. Ministry of Natural Resources, Ontario Forest Research Institute, OFRI-Rep. 155, 28 pp.
  • Pienaar, L.V., Turnbull, K.J., 1973. The Chapman-Richards gereneralization of von Bertalanffy’s growth model for basal area growth and yield in even-age stands. For. Sci. 19:2-22.
  • Pienaar, L.V., 1991. PMRC yield prediction system for slash pine plantations in the Atlantic Coast Flatwoods, PRMC Technical Report, Athens.
  • Richards, F.J., 1959. A flexible growth function for empirical use. J. Exp. Bot., 10:290-300
  • Saunders, M.R., Wagner, R.G., 2008. Long-term spatial and structural dynamics in Acadian mixed-wood stands management under various silvicultural systems Can. J. For. Res., 38: 498-517.
  • Schnute, J., 1981. A versatile growth model with statistically stable parameters. Canadian Journal of Fisheries and Aquatic Sciences, 38: 1128–1140.
  • Schröder, J., Alvarez-Gonzalez, J.G., 2001. Developing a generalized diameter-height model for maritime pine in Northwestern Spain. Forstwiss, Centralbl., 120:18-23.
  • Sharma, M., Zhang, S.Y., 2004. Height–diameter models using stand characteristics for Pinus banksiana and Picea mariana. Scandinavian Journal of Forest Research, 19:442-451.
  • Sharma, M., Parton, J. 2007. Height-diameter equations for boreal tree species in Ontario using a mixed-effects modeling approach. For. Ecol. Manage., 249:187-198
  • Sloboda, V.B., Gaffrey, D., Matsumura, N., 1993. Regionale und locale systeme von Höhenkurven für gleichaltrige Waldbestande. Allg. Forst. Lagdztg 164:225-228.
  • Soares, P., Tomé, M., 2002. Height–diameter equation for first rotation eucalypt plantations in Portugal. For. Ecol. Manage, 166: 99-109.
  • Sönmez, T., 2009. Generalized height-diameter models for Picea orientalis L. J. Env. Biol., 30: 767-772.
  • Temesgen, H., Gadow, K.v., 2004. Generalized height- diameter models–an application for major tree species in complex stands of interior British Columbia. Eur. J. For. Res., 123:45–51.
  • Tomé, M., 1989. Modelação do crescimento da árvore individual em povoamentos de Eucalyptus globulus Labill. (1ª rotação) na região centro de Portugal. Ph.D. Thesis, Instituto Superior de Agronomía, Universidade Técnica de Lisboa, Lisbon, Portugal. 256 pp.
  • Trincado, G., VanderSchaaf, C.L., Burkhart, H.E., 2007. Regional mixed-effects height–diameter models for loblolly pine (Pinus taeda L.) plantations. Eur. J. For. Res., 126:253–262.
  • Wang, C.H., Hann, D.W., 1988. Height-diameter equations sixteen tree species in the central western Willamette valleof Oregon. Forest Research Lab. Oregon State Univ. Res. Paper
  • Wykoff, W.F., Crookston, N.L., Stage, A.R., 1982. User's guide to the Stand Prognosis Model. USDA Forest Service. Intermountain Forest and Range Experimental Station, Ogden, UT, 113 p. Report INT-133,
  • Yang, R.C., Kozak A., Smith J.H., 1978. The potential of Weibull-type functions as a flexible growth curve. Can. J. For. Res, 8: 424-431.
  • Zhang, L., 1997. Cross-validation of nonlinear growth functions distributions. Annals of Botany, 79: 251–257. tree height-diameter
  • Zhang, L., Peng, C., Huang, S., Zhou, X., 2002. Development and evaluation of ecoregion-based jack pine height-diameter models for Ontario. For. Chron., 78: 530-538.

Antalya yöresi doğal kızılçam meşcereleri için genelleştirilmiş çap-boy modellerinin geliştirilmesi

Yıl 2014, Cilt: 15 Sayı: 1, 44 - 52, 26.05.2014
https://doi.org/10.18182/tjf.01926

Öz

Kızılçam, ülkemizde orman ürünleri sanayisi için en önemli ticari ağaç türlerinden biridir. Bu çalışmada, Antalya Yöresi doğal kızılçam meşcereleri için göğüs çapı ve bazı meşcere özellikleri bağımsız değişken olarak kullanılarak çap (d)-boy (h) modelleri geliştirilmiştir. Çalışmada, toplam 16 adet genelleştirilmiş d-h modeli, Antalya Yöresi doğal kızılçam meşcerelerinden alınan 59 örnek alan verisi kullanılarak test edilmiştir. Bu amaçla örnek alan verileri iki gruba ayrılmış, bir kısmı (%85) model geliştirmek ve diğer bir kısmı da (%15) geliştirilen modellerin test edilmesi amacıyla kullanılmıştır. Geliştirilen modellerin boy tahminlerindeki performansları, altı farklı ölçüt değerleri kullanılarak karşılaştırılmış ve elde edilen sonuçlar değerlendirilmiştir. En başarılı sonuçlar sırasıyla, Pienaar (1991-II), Sloboda vd. (1993-I) ve Sharma ve Parton (2007) tarafından geliştirilen modellerle elde edilmiştir. Bağımsız veri seti kullanılarak yapılan değerlendirmede de benzer sonuçlar elde edilmiştir.
Anahtar kelimeler: Kızılçam, Boy, Çap, Genelleştirilmiş modeller

Kaynakça

  • Anonymous, 2006. Forest Resources. The General Directorate of Forests, Ankara, 159 pp.
  • Ademe, P., Del Rio, M., Canellas, I., 2008. A mixed nonlinear height-diameter model for hyrenean oak (Querqus pyrenaica Willd.). For. Ecol. Manage. 256 (1- 2): 88-98.
  • Akaike, H., 1974. A New Look at the Statistical Model Identification. IEEE Transactions on Automatic Control AC-19: 716–723.
  • Arabatzis, A.A., Burkhart, H.E., 1992. An evaluation of sampling methods and model forms for estimating height-diameter plantations. For Sci., 38:192-198. in Loblolly pine
  • Calama, R., Montero, G., 2004. Interregional nonlinear height-diemeter model with random coefficients for stone pine in Spain. Can. J. For. Res. 34:150-163.
  • Canadas, N., Garcia, C., Montero, G., 1999. Relacion altura- diametro para Pinus pine aL. En el Sistema Central. Comgreso de Ordenacion y Gestion Sostenible de Montes, Santiago de Compestela, 4-9 octubre. Tomo I, pp. 139-153.
  • Castedo- Dorado, F., Diéguez-Aranda, U., Barrio Anta, M., Sánchez Rodríguez, M., Gadow K.v., 2006. A generalized height–diameter model including random components for radiata pine plantations in northwestern Spain. For. Ecol. Manage., 229:202-213.
  • Colbert, K.C., Larsen, D.R., Lootens, J.R., 2002. Height- diameter equations for thirteen Midwestern bottomland hardwood species. North. J. Appl. For. 19:171-176.
  • Cox, F., 1994. Parameterized models of height. Report of convention enterprises research.
  • Curtis, R.O., 1967. Height–diameter and height–diameter– age equations for second-growth Douglas-fir. For. Sci., 13:365-375.
  • Çapar, C., 2013. Antalya yöresi kızılçam meşçereleri için doğrusal olmayan karışık etkili modeller yardımı ile çap- boy denklemlerinin geliştirilmesi. SDÜ Fen Bilimleri Enstitüsü, Yüksek Lisans Tezi, Isparta, 68 s.
  • Diéguez-Aranda, U., Barrio Anta, M., Castedo Dorado, F., Álvarez González, J.G., 2005. Relación altura-diámetro generalizada para masas de Pinus sylvestris L. procedentes de repoblación en el noroeste de España. Forest Systems (Formerly: Inv Agrar: Sist Rec For) 14(2): 229–241.
  • Diamantopoulou, M.J., Özçelik, R., 2012. Evaluation of different modeling approaches for total tree-height estimation in Mediterranean region of Turkey. For Syst., 21:383-397.
  • Fang, Z., Bailey, R.L., 1998. Height–diameter models for tropical forest on Hainan Island in southern China. For. Ecol. Manage., 110:315-327.
  • Fekedulegn, D., Surtain, M.P.M., Colbert, J.J., 1999. Parameter estimation of nonlinear growth model in forestry. Silv. Fenn., 33:327-336.
  • Gaffrey, D., 1988. Forstamst-und bestandesindivudielles sortimentierungsprogramm als mittel zur plannung, aushaltung und simulation.Diplomarbeit Forscliche Fakultat, Univ. Göttingen.
  • Gonda, H.E., Maguire, D.A., Cortes, G.O., Tesch, S.D., 2004. Stand level height-diameter equations for young ponderosa pine plantations in Nuequen, Patagonia, Argentina: developed in the Western United States. West. J. Appl. For. 19:202-210. applications of equations
  • Huang, S., Price, D., Titus, S.J., 2000. Development of ecoregion-based height–diameter models for white spruce in boreal forests. For. Ecol. Manage., 12:125- 141.
  • Huang, S., Titus, S.J., Wiens, D.P., 1992. Comparison of nonlinear height-diameter functions for major Alberta tree species. Can. J. For. Res., 22: 1297-1304
  • Huang S (1999). Ecoregion-based individual tree height- diameter models for lodgepole pine in Alberta. West J Appl For., 14: 186-193.
  • Hui, G., Gadow, K.v., 1993. Zur Entwicklung von Einheitshöhenkurven am Beispiel der Baumart Cunninghamia lanceolata. Allg. Forst. Lagdztg., 164: 218-220.
  • Jayaraman, K., Zakrzewski, W.T., 2001. Practical approaches to calibrating height-diameter relationships for natural sugar maple stands. For. Ecol. Manage., 148: 169-177.
  • Krumland, B.E., Wensel, L.C., 1988. A generalized height– diameter equation for coastal California species. West. J. Appl. For., 3: 113–115.
  • Lappi, J., 1997. A longitudinal analysis of height-diameter curves. For. Sci., 43: 555-570.
  • Larsen, D.R., Hann, D.W., 1987. Height–diameter equations for seventeen tree species in southwest Oregon. Research paper 49. Forest Research Laboratory, Oregon State University, Corvallis, OR, 16 p.
  • Lei. Y., Parresol, B.R., 2001. Remarks on height-diameter modeling. Res. Note. SRS-10. U.S. Department of Agriculture, Forest Service, Southern research Station, 5p.
  • López Sánchez, C.A., Gorgoso Varela, J., Castedo Dorado, F., Rojo Alboreca, A., Rodríguez Soalleiro, R., Alvarez González, J.G., Sánchez Rodríguez F., 2003. A height- diameter model for Pinus radiata D. Don in Galicia (Northwest Spain). Ann. For. Sci., 60:237-245.
  • Lynch, T.B., Holley, A.G., Stevenson, D.J., 2005. A random-parameter height-diameter model for cherrybarg oak. South. J. Appl. For. 29:22-26.
  • Mehtatalo, L., 2004. A longitudinal height-diameter model for Norway spruce in Finland. Can. J. For. Res. 34:131- 140.
  • Mısır, N., 2010. Generalized height-diameter models for Populus tremula L. stands. African J. Biotech., 9: 4348- 4355.
  • Monnes, E.N., 1982. Diameter distributions and height curves in even-aged stands of Pinus sylvestris L. Medd. No. Inst. Skogforks, 36:1-43
  • Moore, J.A., Zhang, L., Stuch, D., 1996. Height-diameter equations for ten tree species in the Inland Northwest. West. J. Appl. For., 11:132-137.
  • Nagel, J., 1991. Einheitshöhenkurvenmodell für Roteiche. Allg. Forst. Lagdztg, 1:16-18.
  • Newton, P.F., Amponsah, I.G., 2007. Comparative evaluation of five height–diameter models developed for black spruce and jack pine stand-types in terms of goodness-of-fit, lack-of-fit and predictive ability. Forest Ecology and Management, 247:149-166. 1992. Parresol, B.R., Baldcypress height–diameter
  • equations and their prediction confidence interval.
  • Canadian Journal of Forest Research, 22:1429-1434.
  • Peng, C.H., 1999. Nonlinear height-diameter models for nine tree species in Ontario boreal forests. Ministry of Natural Resources, Ontario Forest Research Institute, OFRI-Rep. 155, 28 pp.
  • Pienaar, L.V., Turnbull, K.J., 1973. The Chapman-Richards gereneralization of von Bertalanffy’s growth model for basal area growth and yield in even-age stands. For. Sci. 19:2-22.
  • Pienaar, L.V., 1991. PMRC yield prediction system for slash pine plantations in the Atlantic Coast Flatwoods, PRMC Technical Report, Athens.
  • Richards, F.J., 1959. A flexible growth function for empirical use. J. Exp. Bot., 10:290-300
  • Saunders, M.R., Wagner, R.G., 2008. Long-term spatial and structural dynamics in Acadian mixed-wood stands management under various silvicultural systems Can. J. For. Res., 38: 498-517.
  • Schnute, J., 1981. A versatile growth model with statistically stable parameters. Canadian Journal of Fisheries and Aquatic Sciences, 38: 1128–1140.
  • Schröder, J., Alvarez-Gonzalez, J.G., 2001. Developing a generalized diameter-height model for maritime pine in Northwestern Spain. Forstwiss, Centralbl., 120:18-23.
  • Sharma, M., Zhang, S.Y., 2004. Height–diameter models using stand characteristics for Pinus banksiana and Picea mariana. Scandinavian Journal of Forest Research, 19:442-451.
  • Sharma, M., Parton, J. 2007. Height-diameter equations for boreal tree species in Ontario using a mixed-effects modeling approach. For. Ecol. Manage., 249:187-198
  • Sloboda, V.B., Gaffrey, D., Matsumura, N., 1993. Regionale und locale systeme von Höhenkurven für gleichaltrige Waldbestande. Allg. Forst. Lagdztg 164:225-228.
  • Soares, P., Tomé, M., 2002. Height–diameter equation for first rotation eucalypt plantations in Portugal. For. Ecol. Manage, 166: 99-109.
  • Sönmez, T., 2009. Generalized height-diameter models for Picea orientalis L. J. Env. Biol., 30: 767-772.
  • Temesgen, H., Gadow, K.v., 2004. Generalized height- diameter models–an application for major tree species in complex stands of interior British Columbia. Eur. J. For. Res., 123:45–51.
  • Tomé, M., 1989. Modelação do crescimento da árvore individual em povoamentos de Eucalyptus globulus Labill. (1ª rotação) na região centro de Portugal. Ph.D. Thesis, Instituto Superior de Agronomía, Universidade Técnica de Lisboa, Lisbon, Portugal. 256 pp.
  • Trincado, G., VanderSchaaf, C.L., Burkhart, H.E., 2007. Regional mixed-effects height–diameter models for loblolly pine (Pinus taeda L.) plantations. Eur. J. For. Res., 126:253–262.
  • Wang, C.H., Hann, D.W., 1988. Height-diameter equations sixteen tree species in the central western Willamette valleof Oregon. Forest Research Lab. Oregon State Univ. Res. Paper
  • Wykoff, W.F., Crookston, N.L., Stage, A.R., 1982. User's guide to the Stand Prognosis Model. USDA Forest Service. Intermountain Forest and Range Experimental Station, Ogden, UT, 113 p. Report INT-133,
  • Yang, R.C., Kozak A., Smith J.H., 1978. The potential of Weibull-type functions as a flexible growth curve. Can. J. For. Res, 8: 424-431.
  • Zhang, L., 1997. Cross-validation of nonlinear growth functions distributions. Annals of Botany, 79: 251–257. tree height-diameter
  • Zhang, L., Peng, C., Huang, S., Zhou, X., 2002. Development and evaluation of ecoregion-based jack pine height-diameter models for Ontario. For. Chron., 78: 530-538.
Toplam 56 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Orijinal Araştırma Makalesi
Yazarlar

Ramazan Özçelik Bu kişi benim

Caner Çapar Bu kişi benim

Yayımlanma Tarihi 26 Mayıs 2014
Yayımlandığı Sayı Yıl 2014 Cilt: 15 Sayı: 1

Kaynak Göster

APA Özçelik, R., & Çapar, C. (2014). Developing generalized height-diameter models for natural brutian pine stands in Antalya district. Turkish Journal of Forestry, 15(1), 44-52. https://doi.org/10.18182/tjf.01926
AMA Özçelik R, Çapar C. Developing generalized height-diameter models for natural brutian pine stands in Antalya district. Turkish Journal of Forestry. Mayıs 2014;15(1):44-52. doi:10.18182/tjf.01926
Chicago Özçelik, Ramazan, ve Caner Çapar. “Developing Generalized Height-Diameter Models for Natural Brutian Pine Stands in Antalya District”. Turkish Journal of Forestry 15, sy. 1 (Mayıs 2014): 44-52. https://doi.org/10.18182/tjf.01926.
EndNote Özçelik R, Çapar C (01 Mayıs 2014) Developing generalized height-diameter models for natural brutian pine stands in Antalya district. Turkish Journal of Forestry 15 1 44–52.
IEEE R. Özçelik ve C. Çapar, “Developing generalized height-diameter models for natural brutian pine stands in Antalya district”, Turkish Journal of Forestry, c. 15, sy. 1, ss. 44–52, 2014, doi: 10.18182/tjf.01926.
ISNAD Özçelik, Ramazan - Çapar, Caner. “Developing Generalized Height-Diameter Models for Natural Brutian Pine Stands in Antalya District”. Turkish Journal of Forestry 15/1 (Mayıs 2014), 44-52. https://doi.org/10.18182/tjf.01926.
JAMA Özçelik R, Çapar C. Developing generalized height-diameter models for natural brutian pine stands in Antalya district. Turkish Journal of Forestry. 2014;15:44–52.
MLA Özçelik, Ramazan ve Caner Çapar. “Developing Generalized Height-Diameter Models for Natural Brutian Pine Stands in Antalya District”. Turkish Journal of Forestry, c. 15, sy. 1, 2014, ss. 44-52, doi:10.18182/tjf.01926.
Vancouver Özçelik R, Çapar C. Developing generalized height-diameter models for natural brutian pine stands in Antalya district. Turkish Journal of Forestry. 2014;15(1):44-52.