Height–diameter relationship of plantation-grown juvenile black locust trees is differentiated according to their growth rate, which is positively affected by spacing

Adamec, Z. 2015. Comparison of linear mixed effects model and generalized model of the tree height-diameter relationship. Journal of Forest Science, 61 (10), 439–447. AdamecZ. 2015 Comparison of linear mixed effects model and generalized model of the tree height-diameter relationship Journal of Forest Science 61 10 439 447 10.17221/68/2015-JFS Search in Google Scholar

Annighöfer, P. et al. 2016. Species-specific and generic biomass equations for seedlings and saplings of European tree species. European Journal of Forest Research, 135 (2), 313–329. AnnighöferP. 2016 Species-specific and generic biomass equations for seedlings and saplings of European tree species European Journal of Forest Research 135 2 313 329 10.1007/s10342-016-0937-z Search in Google Scholar

Baty, F., Ritz, Ch., Charles, S., Brutsche, M., Flandrois, J.-P., Delignette-Muller, M.-L. 2015. A Tool-box for Nonlinear Regression in R: The Package nlstools. Journal of Statistical Software, 66 (5), 1–21. BatyF. RitzCh. CharlesS. BrutscheM. FlandroisJ.-P. Delignette-MullerM.-L. 2015 A Tool-box for Nonlinear Regression in R: The Package nlstools Journal of Statistical Software 66 5 1 21 10.18637/jss.v066.i05 Search in Google Scholar

Blujdea, V.N.B., Pilli, R., Dutca, I., Ciuvat, L., Abrudan, I.V. 2012. Allometric biomass equations for young broadleaved trees in plantations in Romania. Forest Ecology and Management, 264, 172–184. DOI: 10.1016/j.foreco.2011.09.042 BlujdeaV.N.B. PilliR. DutcaI. CiuvatL. AbrudanI.V. 2012 Allometric biomass equations for young broadleaved trees in plantations in Romania Forest Ecology and Management 264 172 184 10.1016/j.foreco.2011.09.042 Open DOISearch in Google Scholar

Böhm, C., Quinkenstein, A., Freese, D. 2011. Yield prediction of young black locust (Robinia pseudoacacia L.) plantations for woody biomass production using allometric relations. Annals of Forest Research, 54 (2), 215–227. BöhmC. QuinkensteinA. FreeseD. 2011 Yield prediction of young black locust (Robinia pseudoacacia L.) plantations for woody biomass production using allometric relations Annals of Forest Research 54 2 215 227 Search in Google Scholar

Bolker, B.M. 2008. Ecological models and data in R. Princeton University Press, Princeton, USA. BolkerB.M. 2008 Ecological models and data in R Princeton University Press Princeton, USA Search in Google Scholar

Burk, T.E., Burkhart, H.E. 1984. Diameter Distributions and Yields of Natural Stands of Loblolly Pine. Publication No. FWS-1-84, School of Forestry and Wildlife Resources, Virginia Polytechnic Institute and State University Blacksburg, Virginia 24061. BurkT.E. BurkhartH.E. 1984 Diameter Distributions and Yields of Natural Stands of Loblolly Pine Publication No. FWS-1-84, School of Forestry and Wildlife Resources, Virginia Polytechnic Institute and State University Blacksburg Virginia 24061 Search in Google Scholar

Burkhart, H.E., Strub, M.R. 1974. A model for simulation of planted loblolly pine stands. In: Growth Models for Tree and Stand Simulation (ed. J. Fries). Royal College of Forestry, Stockholm, 128–135. BurkhartH.E. StrubM.R. 1974 A model for simulation of planted loblolly pine stands In: Growth Models for Tree and Stand Simulation ed. FriesJ. Royal College of Forestry Stockholm 128 135 Search in Google Scholar

Buford, M.A. 1986. Height-diameter relationship at age 15 in loblolly pine seed sources. Forest Science, 32, 812–818. BufordM.A. 1986 Height-diameter relationship at age 15 in loblolly pine seed sources Forest Science 32 812 818 Search in Google Scholar

Calama, R., Montero, G. 2004. Interregional nonlinear height diameter model with random coefficients for stone pine in Spain. Canadian Journal of Forest Research, 34 (1), 150–163. CalamaR. MonteroG. 2004 Interregional nonlinear height diameter model with random coefficients for stone pine in Spain Canadian Journal of Forest Research 34 1 150 163 10.1139/x03-199 Search in Google Scholar

Castedo-Dorado, F., Diéguez-Aranda, U., Barrio-Anta, M., Rodríguez, M.S., Gadow, K. von 2006. A generalized height-diameter model including random components for radiata pine plantations in northwestern Spain. Forest Ecology and Management, 229 (1/3), 202–213. Castedo-DoradoF. Diéguez-ArandaU. Barrio-AntaM. RodríguezM.S. GadowK. von 2006 A generalized height-diameter model including random components for radiata pine plantations in northwestern Spain Forest Ecology and Management 229 1/3 202 213 10.1016/j.foreco.2006.04.028 Search in Google Scholar

Cimini, D., Salvati, R. 2011. Comparison of generalized non-linear height-diameter models for Pinus halepensis Mill. and Quercus cerris L. in Sicily (Southern Italy). L’Italia Forestale e Montana, 66 (5), 395–400. DOI: 10.4129/ifm.2011.5.0 CiminiD. SalvatiR. 2011 Comparison of generalized non-linear height-diameter models for Pinus halepensis Mill. and Quercus cerris L. in Sicily (Southern Italy) L’Italia Forestale e Montana 66 5 395 400 10.4129/ifm.2011.5.0 Open DOISearch in Google Scholar

Crecente-Campo, F., Tomé, M., Soares, P., Diéguez-Aranda, U. 2010. A generalized nonlinear mixed-effects height-diameter model for Eucalyptus globulus L. in northwestern Spain. Forest Ecology and Management, 259 (5), 943–952. Crecente-CampoF. ToméM. SoaresP. Diéguez-ArandaU. 2010 A generalized nonlinear mixed-effects height-diameter model for Eucalyptus globulus L. in northwestern Spain Forest Ecology and Management 259 5 943 952 10.1016/j.foreco.2009.11.036 Search in Google Scholar

Curtis, R.O. 1967. Height-diameter and height-diameter-age equations for second-growth Douglas-fir. Forest Science, 13, 365–375. CurtisR.O. 1967 Height-diameter and height-diameter-age equations for second-growth Douglas-fir Forest Science 13 365 375 Search in Google Scholar

Dimitrov, E. 2003. Modeling of structure, volume and assortments of moderate-age and sub-mature dendrocoenoses of Scots pine, Norway spruce and silver fir (in Bulgarian). Simolini 94, Sofia. DimitrovE. 2003 Modeling of structure, volume and assortments of moderate-age and sub-mature dendrocoenoses of Scots pine, Norway spruce and silver fir (in Bulgarian) Simolini 94 Sofia Search in Google Scholar

Dimitrova, P., Kalmukov, K. 2014. Dendrobiometrical characteristic of young black locust plantations in the region of Svishtov (in Bulgarian with English summary). In: Proceeding papers “145 Anniversary of Bulgarian Academy of Science” (eds. G. Georgiev, E. Popov, E. Velizarova, I.Ts. Marinov, M. Grozeva, P. Mirchev, H. Tsakov), Sofia, Bulgaria, 5–10. DimitrovaP. KalmukovK. 2014 Dendrobiometrical characteristic of young black locust plantations in the region of Svishtov (in Bulgarian with English summary) In: Proceeding papers “145 Anniversary of Bulgarian Academy of Science” eds. GeorgievG. PopovE. VelizarovaE. MarinovI.Ts. GrozevaM. MirchevP. TsakovH. Sofia Bulgaria 5 10 Search in Google Scholar

Dimitrova, P. 2017. Comparative analysis of growth, structure and productivity in young halfsibs progenies from selected clones of black locust (Robinia pseudoacacia L.) (in Bulgarian with English summary). Nauka za gorata, 2, 21–31. DimitrovaP. 2017 Comparative analysis of growth, structure and productivity in young halfsibs progenies from selected clones of black locust (Robinia pseudoacacia L.) (in Bulgarian with English summary) Nauka za gorata 2 21 31 Search in Google Scholar

Dimitrova, P., Kalmukov, K. 2019. Dynamics of growth parameters of juvenile plantations from half-sibs progenies of selected Robinia pseudoacacia L. clones (in Bulgarian with English summary). Nauka za gorata, 1, 41–52. DimitrovaP. KalmukovK. 2019 Dynamics of growth parameters of juvenile plantations from half-sibs progenies of selected Robinia pseudoacacia L. clones (in Bulgarian with English summary) Nauka za gorata 1 41 52 Search in Google Scholar

Fox, J., Weisberg, S. 2019. An R Companion to Applied Regression. Third edition. Thousand Oaks CA: Sage. https://socialsciences.mcmaster.ca/jfox/Books/Companion/ FoxJ. WeisbergS. 2019 An R Companion to Applied Regression Third edition Thousand Oaks CA Sage https://socialsciences.mcmaster.ca/jfox/Books/Companion/ Search in Google Scholar

Gadow, K. von, Hui, G. 1999. Modelling Forest Development. Kluwer Academic Publishers, Dordrecht, The Netherlands. GadowK. von HuiG. 1999 Modelling Forest Development Kluwer Academic Publishers Dordrecht, The Netherlands 10.1007/978-94-011-4816-0 Search in Google Scholar

Gross, J., Ligges, U. 2015. Tests for Normality. R package version 1.0–4. https://CRAN.R-project.org/package=nortest GrossJ. LiggesU. 2015 Tests for Normality. R package version 1.0–4 https://CRAN.R-project.org/package=nortest Search in Google Scholar

Han, Y., Lei, Z., Ciceu, A., Zhou, Y., Zhou, F., Yu, D. 2021. Determining an accurate and cost-effective individual height-diameter model for Mongolian pine on sandy land. Forests, 12 (9), 1144. DOI: 10.3390/f12091144 HanY. LeiZ. CiceuA. ZhouY. ZhouF. YuD. 2021 Determining an accurate and cost-effective individual height-diameter model for Mongolian pine on sandy land Forests 12 9 1144 10.3390/f12091144 Open DOISearch in Google Scholar

Huang, S., Titus, S.J., Wiens, D.P. 1992. Comparison of nonlinear height-diameter functions for major Alberta tree species. Canadian Journal of Forest Research, 22 (9), 1297–1304. HuangS. TitusS.J. WiensD.P. 1992 Comparison of nonlinear height-diameter functions for major Alberta tree species Canadian Journal of Forest Research 22 9 1297 1304 10.1139/x92-172 Search in Google Scholar

Huang, S., Price, D., Titus, S.J. 2000. Development of ecoregion-based height-diameter models for white spruce in boreal forests. Forest Ecology and Management, 129 (1/3), 125–141. HuangS. PriceD. TitusS.J. 2000 Development of ecoregion-based height-diameter models for white spruce in boreal forests Forest Ecology and Management 129 1/3 125 141 10.1016/S0378-1127(99)00151-6 Search in Google Scholar

Huxley, J.S. 1972. Problems of relative growth. 2nd edition. Dover Publications Inc, New York. HuxleyJ.S. 1972 Problems of relative growth 2nd edition Dover Publications Inc New York Search in Google Scholar

Jackson, Ch.H. 2011. Multi-state models for panel data: the msm package for R. Journal of Statistical Software, 38 (8), 1–29. JacksonCh.H. 2011 Multi-state models for panel data: the msm package for R Journal of Statistical Software 38 8 1 29 10.18637/jss.v038.i08 Search in Google Scholar

Kalmukov, K. 2006. Impact of the initial spacing and ambient conditions on the growth and yield of the black locust tree (Robinia pseudoacacia L.). In: Proceedings of the Symposium ‘Forest and sustainable Development’ (eds. I.V. Abrudan, G. Spârchez, G. Ignea, D. Simon, G. Ioaneşcu, G. Chitea), Facility of Silviculture and Forest Engineering, Transylvania University of Brasov, Brasov, 91–96. KalmukovK. 2006 Impact of the initial spacing and ambient conditions on the growth and yield of the black locust tree (Robinia pseudoacacia L.) In: Proceedings of the Symposium ‘Forest and sustainable Development’ eds. AbrudanI.V. SpârchezG. IgneaG. SimonD. IoaneşcuG. ChiteaG. Facility of Silviculture and Forest Engineering, Transylvania University of Brasov Brasov 91 96 Search in Google Scholar

Kalmukov, K. 2013. The effect of initial planting density and habitat conditions on the yield of short-turn biomass plantation of black locust trees (Robinia pseudoacacia L.) (in Bulgarian with English summary). Nauka i tehnologii, 3 (6), 47–51. KalmukovK. 2013 The effect of initial planting density and habitat conditions on the yield of short-turn biomass plantation of black locust trees (Robinia pseudoacacia L.) (in Bulgarian with English summary) Nauka i tehnologii 3 6 47 51 Search in Google Scholar

Lebedev, A., Kuzmichev, V. 2020. Verification of two- and three-parameter simple height diameter models for birch in the European part of Russia. Journal of Forest Science, 66 (9), 375–382. LebedevA. KuzmichevV. 2020 Verification of two- and three-parameter simple height diameter models for birch in the European part of Russia Journal of Forest Science 66 9 375 382 10.17221/76/2020-JFS Search in Google Scholar

Lei, X., Peng, C., Wang, H., Zhou, X. 2009. Individual height-diameter models for young black spruce (Picea mariana) and jack pine (Pinus banksiana) plantations in New Brunswick, Canada. Forestry Chronicle, 85 (1), 43–56. LeiX. PengC. WangH. ZhouX. 2009 Individual height-diameter models for young black spruce (Picea mariana) and jack pine (Pinus banksiana) plantations in New Brunswick, Canada Forestry Chronicle 85 1 43 56 10.5558/tfc85043-1 Search in Google Scholar

Lenhart, J.D. 1968. Yield of old-field loblolly pine plantations in the Georgia Piedmont. Ph.D. Thesis, University of Georgia, Athens, USA. LenhartJ.D. 1968 Yield of old-field loblolly pine plantations in the Georgia Piedmont Ph.D. Thesis, University of Georgia Athens, USA Search in Google Scholar

Loetsch, F., Zohrer, F., Haller, K.E. 1973. Haller Forest Inventory, Volume 2. BLV Verlagsgesellschaft mBH, Munchen, Germany. LoetschF. ZohrerF. HallerK.E. 1973 Haller Forest Inventory, Volume 2 BLV Verlagsgesellschaft mBH Munchen, Germany Search in Google Scholar

López-Sánchez, C.A. et al. 2003. A height-diameter model for Pinus radiata D. Don in Galicia (Northwest Spain). Annals of Forest Science, 60, 237–245. López-SánchezC.A. 2003 A height-diameter model for Pinus radiata D. Don in Galicia (Northwest Spain) Annals of Forest Science 60 237 245 10.1051/forest:2003015 Search in Google Scholar

Navroodi, I.H., Alavi, S.J., Ahmadi, M.K., Radkarimi, M. 2016. Comparison of different non-linear models for prediction of the relationship between diameter and height of velvet maple trees in natural forests (Case study: Asalem Forests, Iran). Journal of Forest Science, 62 (2), 65–71. DOI: 10.17221/43/2015-JFS NavroodiI.H. AlaviS.J. AhmadiM.K. RadkarimiM. 2016 Comparison of different non-linear models for prediction of the relationship between diameter and height of velvet maple trees in natural forests (Case study: Asalem Forests, Iran) Journal of Forest Science 62 2 65 71 10.17221/43/2015-JFS Open DOISearch in Google Scholar

Naydenov, Y., Dimitrova, P. 2018. Black locust – a naturalised or invasive species in Bulgaria? (in Bulgarian). Zemedelie, 280 (1/2), 35–37. NaydenovY. DimitrovaP. 2018 Black locust – a naturalised or invasive species in Bulgaria? (in Bulgarian) Zemedelie 280 1/2 35 37 Search in Google Scholar

Panayotov, P., Kalmukov, K., Panayotov, M. 2006. Factors influencing the stable development of the black locust round timber producing (in Bulgarian with English summary). Upravlenie i ustoychivo razvitie, 14 (1/2), 194–202. PanayotovP. KalmukovK. PanayotovM. 2006 Factors influencing the stable development of the black locust round timber producing (in Bulgarian with English summary) Upravlenie i ustoychivo razvitie 14 1/2 194 202 Search in Google Scholar

Paulo, J.A., Tomé, J., Tomé, M. 2011. Nonlinear fixed and random generalized height-diameter models for Portuguese cork oak stands. Annals of Forest Science, 68 (2), 295–309. PauloJ.A. ToméJ. ToméM. 2011 Nonlinear fixed and random generalized height-diameter models for Portuguese cork oak stands Annals of Forest Science 68 2 295 309 10.1007/s13595-011-0041-y Search in Google Scholar

Petkova, K., Popov, E., Tsvetkov, I. 2017. Bulgaria. In: Non-Native Tree Species for European Forests: Experiences, Risks and Opportunities. COST Action FP1403 NNEXT Country Reports, Joint Volume. 3rd Edition (eds. H. Hasenauer, A. Gazda, M. Konnert, K. Lapin, G.M.J. Mohren, H. Spiecker, M. van Loo, E. Pötzelsberger). University of Natural Resources and Life Sciences, Vienna, Austria, 40–63. PetkovaK. PopovE. TsvetkovI. 2017 Bulgaria In: Non-Native Tree Species for European Forests: Experiences, Risks and Opportunities. COST Action FP1403 NNEXT Country Reports, Joint Volume 3rd Edition eds. HasenauerH. GazdaA. KonnertM. LapinK. MohrenG.M.J. SpieckerH. van LooM. PötzelsbergerE. University of Natural Resources and Life Sciences Vienna, Austria 40 63 Search in Google Scholar

Pienaar, L.V., Harrison, W.M., Rheney, J.W. 1990. PMRC yield prediction system for slash pine plantations in the Atlantic coast flatwoods. PMRC Technical Report 1990-3. Plantation Management Research Cooperative, Warnell School of Forestry and Natural Resources, The University of Georgia, Athens, GA. PienaarL.V. HarrisonW.M. RheneyJ.W. 1990 PMRC yield prediction system for slash pine plantations in the Atlantic coast flatwoods PMRC Technical Report 1990-3. Plantation Management Research Cooperative, Warnell School of Forestry and Natural Resources, The University of Georgia Athens, GA Search in Google Scholar

Pinheiro, J., Bates, D., DebRoy, S., Sarkar, D., R Core Team. 2021. nlme: Linear and Nonlinear Mixed Effects Models. R package version 3.1–153. https://CRAN.R-project.org/package=nlme> PinheiroJ. BatesD. DebRoyS. SarkarD. R Core Team 2021 nlme: Linear and Nonlinear Mixed Effects Models. R package version 3.1–153 https://CRAN.R-project.org/package=nlme> Search in Google Scholar

R Core Team. 2021. R: A language and environment for statistical computing. R Foundation for Statistical Computing, Vienna, Austria. https://www.R-project.org/ R Core Team 2021 R: A language and environment for statistical computing R Foundation for Statistical Computing Vienna, Austria https://www.R-project.org/ Search in Google Scholar

Rédei, K., Veperdi, I., Meilby, H. 2006. Stand structure and growth of mixed white poplar (Populus alba L.) and black locust (Robinia pseudoacacia L.) plantations in Hungary. Acta Silvatica and Lignaria Hungarica, 2, 23–32. RédeiK. VeperdiI. MeilbyH. 2006 Stand structure and growth of mixed white poplar (Populus alba L.) and black locust (Robinia pseudoacacia L.) plantations in Hungary Acta Silvatica and Lignaria Hungarica 2 23 32 Search in Google Scholar

Rédei, K., Osvath-Bujtas, Z., Veperdi, I. 2008. Black locust (Robinia pseudoacacia L.) improvement in Hungary: a review. Acta Silvatica et Lignaria Hungarica, 4, 127–132. RédeiK. Osvath-BujtasZ. VeperdiI. 2008 Black locust (Robinia pseudoacacia L.) improvement in Hungary: a review Acta Silvatica et Lignaria Hungarica 4 127 132 Search in Google Scholar

Rédei, K., Keseru, Z., Csiha, I., Juhász, L., Rásó, J. 2013. The effect of initial spacings on the structure of young black locust stands. Journal of Agricultural Science and Technology, A3, 204–209. RédeiK. KeseruZ. CsihaI. JuhászL. RásóJ. 2013 The effect of initial spacings on the structure of young black locust stands Journal of Agricultural Science and Technology A3 204 209 Search in Google Scholar

Rédei, K., Csiha, I., Keserű, Z., Végh, Á.K., Győri, J. 2015. The silviculture of black locust (Robinia pseudoacacia L.) in Hungary: a review. South-east European forestry, 2 (2), 101–107. DOI: https://doi.org/10.15177/seefor.11-11 RédeiK. CsihaI. KeserűZ. VéghÁ.K. GyőriJ. 2015 The silviculture of black locust (Robinia pseudoacacia L.) in Hungary: a review South-east European forestry 2 2 101 107 DOI: https://doi.org/10.15177/seefor.11-11 10.15177/seefor.11-11 Search in Google Scholar

Schröder, J., Álvarez González, J.G. 2001. Comparing the performance of generalized diameter-height equations for maritime pine in Northwestern Spain. Forstwissenschaftliches Centralblatt vereinigt mit Tharandter forstliches Jahrbuch, 120 (1), 18–23. SchröderJ. Álvarez GonzálezJ.G. 2001 Comparing the performance of generalized diameter-height equations for maritime pine in Northwestern Spain Forstwissenschaftliches Centralblatt vereinigt mit Tharandter forstliches Jahrbuch 120 1 18 23 10.1007/BF02796077 Search in Google Scholar

Schnute, J. 1981. A versatile growth model with statistically stable parameters. Canadian Journal of Fisheries and Aquatic Sciences, 38 (9), 1128–1140. SchnuteJ. 1981 A versatile growth model with statistically stable parameters Canadian Journal of Fisheries and Aquatic Sciences 38 9 1128 1140 10.1139/f81-153 Search in Google Scholar

Stage, A.R. 1975. Prediction of height increment for models of forest growth. Intermountain Forest and Range Experiment Station, Forest Service, US Department of Agriculture, INT-164. StageA.R. 1975 Prediction of height increment for models of forest growth Intermountain Forest and Range Experiment Station, Forest Service, US Department of Agriculture, INT-164 10.5962/bhl.title.69034 Search in Google Scholar

Stankova, T., Diéguez-Aranda U. 2010. Diameter distribution model for Scots pine plantations in Bulgaria. Forestry Ideas, 16 (2), 155–162. StankovaT. Diéguez-ArandaU. 2010 Diameter distribution model for Scots pine plantations in Bulgaria Forestry Ideas 16 2 155 162 Search in Google Scholar

Stankova, T.V., Diéguez-Aranda, U. 2013. Height-diameter relationships for Scots pine plantations in Bulgaria: optimal combination of model type and application. Annals of Forest Research, 56 (1), 149–163. StankovaT.V. Diéguez-ArandaU. 2013 Height-diameter relationships for Scots pine plantations in Bulgaria: optimal combination of model type and application Annals of Forest Research 56 1 149 163 Search in Google Scholar

Staudhammer, C., LeMay, V. 2000. Height prediction equations using diameter and stand density measures. Forestry Chronicle, 76 (2), 303–309. StaudhammerC. LeMayV. 2000 Height prediction equations using diameter and stand density measures Forestry Chronicle 76 2 303 309 10.5558/tfc76303-2 Search in Google Scholar

Subedi, N., Sharma, M. 2011. Individual-tree diameter growth models for black spruce and jack pine. Forest Ecology and Management, 261, 2140–2148. SubediN. SharmaM. 2011 Individual-tree diameter growth models for black spruce and jack pine Forest Ecology and Management 261 2140 2148 10.1016/j.foreco.2011.03.010 Search in Google Scholar

Temesgen, H., Gadow K. von 2004. Generalized height-diameter models—an application for major tree species in complex stands of interior British Columbia. European Journal of Forest Research, 123 (1), 45–51. DOI: 10.1007/s10342-004-0020-z TemesgenH. GadowK. von 2004 Generalized height-diameter models—an application for major tree species in complex stands of interior British Columbia European Journal of Forest Research 123 1 45 51 10.1007/s10342-004-0020-z Open DOISearch in Google Scholar

Trincado, G., VanderSchaaf, C.L., Burkhart, H.E. 2007. Regional mixed-effects height-diameter models for loblolly pine (Pinus taeda L.) plantations. European Journal of Forest Research, 126 (2), 253–262. TrincadoG. VanderSchaafC.L. BurkhartH.E. 2007 Regional mixed-effects height-diameter models for loblolly pine (Pinus taeda L.) plantations European Journal of Forest Research 126 2 253 262 10.1007/s10342-006-0141-7 Search in Google Scholar

Weiskittel, A.R., Hann, D.W., Kershaw Jr, J.A., Vanclay, J.K. 2011. Forest growth and yield modeling. John Wiley & Sons Ltd. WeiskittelA.R. HannD.W. KershawJ.A.Jr VanclayJ.K. 2011 Forest growth and yield modeling John Wiley & Sons Ltd 10.1002/9781119998518 Search in Google Scholar

Wykoff, W.R., Crookston, N.L., Stage, A.R. 1982. User's guide to the Stand Prognosis Model. General Technical Report INT-133. Intermountain Forest and Range Experiment Station Ogden, UT 84401. WykoffW.R. CrookstonN.L. StageA.R. 1982 User's guide to the Stand Prognosis Model. General Technical Report INT-133 Intermountain Forest and Range Experiment Station Ogden UT 84401 10.2737/INT-GTR-133 Search in Google Scholar

Yuancai, L., Parresol, B.R. 2001. Remarks on height-diameter modeling. USDA Forest Service, Southern Research Station, Asheville, Research Note SRS-10. YuancaiL. ParresolB.R. 2001 Remarks on height-diameter modeling USDA Forest Service Southern Research Station, Asheville Research Note SRS-10 10.2737/SRS-RN-10 Search in Google Scholar