Models relating stem growth to crown length dynamics: Application to loblolly pine and Norway spruce

Trees - Structure and Function

Volumn 26, Issue 2, 2012, Pages 469-478

  Valentine, Harry T ^a   Mäkelä, Annikki ^b   Green, Edwin J ^c   Amateis, Ralph L ^d   Mäkinen, Harri ^e   Ducey, Mark J ^f  

^a USDA Forest Service Northern Research Station   (United States)

^b UNIVERSITY OF HELSINKI   (Finland)

^c RUTGERS UNIVERSITY   (United States)

^d VPI and SU   (United States)

^e FINNISH FOREST RESEARCH INSTITUTE   (Finland)

^f UNIVERSITY OF NEW HAMPSHIRE   (United States)

Author keywords

Allometry; Growth model; Pipe model; Scaling; Stem form

Indexed keywords

ALLOMETRY; BASAL AREA; CROSS SECTION; CROSS SECTIONAL AREA; CROWN LENGTHS; DEACTIVATION RATE; EMPIRICAL MODEL; GROWTH DATA; GROWTH MODEL; LINEAR COMBINATIONS; LOBLOLLY PINE; NORWAY SPRUCE; PICEA ABIES (L.) KARST; PINUS TAEDA; SCALING; STEM FORM; STEM GROWTH; STEM LENGTH;

DYNAMICS;

FORESTRY;

CROWNS; DYNAMICS; GROWTH; LENGTH; MATHEMATICAL MODELS; PICEA ABIES; PIPING; WOOD MEASUREMENT;

PICEA ABIES; PINUS TAEDA;

EID: 84858291014     PISSN: 09311890     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00468-011-0608-0     Document Type: Article

References (30)

1. Amateis RL, Burkhart HE, Zedaker SM (1988) Experimental design and early analyses for a set of loblolly pine spacing trials. In: Ek AR, Shifley SR, Burk TE (eds) Forest growth modeling and prediction, forest service, north central experiment station, St Paul, Minnesota, General Technical Report NC-120, pp 1058-1065.
2. Assmann E (1970) The principles of forest yield study. Pergamon Press, Oxford.
3. Beekhuis J (1965) Crown depth of radiata pine in relation to stand density and height. NZ J For 10: 43-61.
4. Cajander AK (1949) Forest types and their significance. Acta For Fenn 56: 1-71.
5. Chiba Y, Fujimori T, Kiyono Y (1988) Another interpretation of the profile diagram and its availability with consideration of the growth process of forest trees. J Jpn For Soc 70: 245-254.
6. Curtis RO, Reukema DL (1970) Crown development and site estimates in a Douglas-fir plantation spacing test. For Sci 16: 287-300.
7. Fish H, Lieffers VJ, Silins U, Hall RJ (2006) Crown shyness in lodgepole pine stands of varying stand height, density, and site index in the upper foothills of Alberta. Can J For Res 36: 2104-2111.
8. Gray HR (1956) The form and taper of forest-tree stems. Institute Paper 32, Imperial Forestry Institute, University of Oxford, Oxford.
9. Lin CH, Morse PM (1975) A compact design for spacing experiments. Biometrics 31: 661-671.
10. Longetaud F, Mothe F, Leban J-M, Mäkelä A (2006) Picea abies sapwood width: variation within and between trees. Scand J For Res 21: 41-53.
11. MacFarlane DW, Green EJ, Burkhart HE (2000) Population density influences assessment and application of site index. Can J For Res 30: 1472-1475.
12. Mäkelä A (1997) A carbon balance model of growth and self-pruning in trees based on structural relationships. For Sci 43: 7-24.
13. Mäkelä A (2002) Derivation of stem taper from the pipe theory in a carbon balance framework. Tree Physiol 22: 891-905.
14. Mäkelä A, Sievänen R (1992) Height-growth strategies in open-grown trees. J Theor Biol 159: 443-467.
15. Mäkelä A, Valentine HT (2006) Crown ratio influences allometric scaling in trees. Ecology 87(12): 2967-2972.
16. Mäkinen H, Isomäki A (2004a) Thinning intensity and growth of Norway spruce stands in Finland. Forestry 77: 349-364.
17. Mäkinen H, Isomäki A (2004b) Thinning intensity and long-term changes in increment and stem form of Norway spruce trees. For Ecol Manag 201: 295-309.
18. Mitchell KJ (1975) Dynamics and simulated yield of Douglas-fir. For Sci Monogr 17: 1-37.
19. Osawa A, Ishizuka M, Kanazawa Y (1991) A profile theory of tree growth. For Ecol Manag 41: 33-63.
20. R Development Core Team (2010) R: a language and environment for statistical computing. R foundation for statistical computing. Vienna, Austria.
21. Shinozaki K, Yoda K, Hozumi K, Kira T (1964) A quantitative analysis of plant form-the pipe model theory. II. Further evidence of the theory and its application in forest ecology. Jpn J Ecol 14: 133-139.
22. Soetaert K, Petzoldt T, Setzer RW (2010) Solving differential equations in r: package deSolve. J Stat Softw 33(9): 1-25.
23. Sterba H, Amateis RL (1998) Crown efficiency in a loblolly pine (Pinus taeda) spacing experiment. Can J For Res 28(9): 1344-1351.
24. Valentine HT, Mäkelä A (2005) Bridging process-based and empirical approaches to modeling tree growth. Tree Physiol 25: 769-779.
25. Valentine HT, Ludlow AR, Furnival GM (1994) Modeling crown rise in even-aged stands of Sitka spruce or loblolly pine. For Ecol Manag 69: 189-197.
26. Valentine HT, Gregoire TG, Burkhart HE, Hollinger DY (1997) A stand-level model of carbon allocation and growth, calibrated for loblolly pine. Can J For Res 27: 817-830.
27. Valentine HT, Herman DA, Gove JH, Hollinger DY, Solomon DL (2000) Initializing a model stand for process-based projection. Tree Physiol 20: 393-398.
28. Vuokila Y (1975) Thinning of young spruce plantations as a problem of timber production (in Finnish with English summary). Folia For 247: 1-24.
29. Vuokila Y, Väliaho H (1980) Growth and yield models for conifer cultures in Finland. Commun Inst For Fenn 99(2): 1-271.
30. Zhang S, Burkhart HE, Amateis RL (1996) Modeling individual tree growth for juvenile loblolly pine plantations. For Ecol Manag 89: 157-172.