APPENDIX Appendix A Symbols - Home - Springer 978-1-4020-5991-9/1.pdf¢  Appendix 351...

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Transcript of APPENDIX Appendix A Symbols - Home - Springer 978-1-4020-5991-9/1.pdf¢  Appendix 351...

  • APPENDIX

    Appendix A

    Symbols

    N , n = population, sample size σ 2, s2 = population, sample variance Sx̄ , Sȳ = conditional or standard error of the sample mean of x, y σ2X = variance of the population total of X s2X = estimated variance of the population total of X sX = standard error of the estimated population total of X s2y(x=xi ) = conditional sample variance of y for x = xi r2, R2 = simple, multiple coefficient of determination R2adj = adjusted coefficient of determination r, R = simple, multiple correlation coefficient rI = intraclass correlation coefficent s2y.x = sample variance adjusted for regression t = Student’s t-statistic F = Snedecor’s F-statistic z = unit normal variate g1 = skewness g2 = kurtosis E = allowable error CP = Mallows’ CP index LA = leaf surface area LAI = leaf area index BT = bark thickness

    347

  • 348 Appendix

    MAI = mean annual increment CW = crown width CL = crown length CR = crown ratio f = false form factor λ = true form factor g = tree basal area Gha = basal area per hectare q0.5h = false form quotient η0.5h = true form quotient qM,q5 = Mitscherlich’s form quotient qH = Hohenadl’s form quotient qG = Girard’s form quotient d, dbh = diameter at 1.3 m Nha = number of trees per hectare d = arithmetic mean diameter dq = quadratic mean diameter dmg = diameter of the central basal area tree dν = diameter of the tree with the mean volume hm = mean height hL = Lorey’s mean height ht = top height hc = Kitamura’s critical height SDI = stand density index S% = S% index of the stand dw = Weise’s mean diameter CCF = crown competition factor MCA = maximum crown area CPA = crown projection area SI = site index

    Greek letters

    A α Alpha H η Eta N ν Nu T τ Tau B β Beta � θ Theta Ξ ξ Xi Y υ Upsilon � γ Gamma I ι Iota O o Omicron � ζ Phi � δ Delta K κ Kappa � π Pi X χ Chi E ε Epsilon � λ Lambda P ρ Rho � ψ Psi Z ζ Zeta M µ Mu � σ Sigma � ω Omega

  • Appendix 349

    Appendix B

    Diameter data of sampling trees

    dbh dbh dbh dbh dbh dbh dbh dbh dbh dbh dbh (cm) (cm) (cm) (cm) (cm) (cm) (cm) (cm) (cm) (cm) (cm) 18.0 22.5 23.7 22.0 20.1 25.5 17.2 18.9 22.2 19.0 22.8 26.9 22.5 21.1 25.7 22.3 21.5 20.0 22.1 12.3 26.3 20.5 17.0 24.0 20.1 16.0 23.0 21.1 22.0 22.4 8.6 16.0 15.5 19.0 17.1 20.6 14.7 23.5 22.8 23.5 16.0 14.3 22.3 23.1 27.5 19.4 22.6 23.5 22.5 18.1 25.8 20.4 20.5 24.2 29.3

    21.8 28.0 25.2 13.6 18.5 21.4 30.0 27.0 28.1 16.5 20.7 29.1 24.3 16.6 20.1 18.2 22.3 15.9 28.0 12.5 26.2 12.1 20.3 23.5 19.7 26.5 25.3 20.0 7.9 29.2 15.7 18.6 26.0 29.0 20.2 21.9 26.6 26.5 23.0 9.7 18.9 9.1 24.4 19.7 17.6 29.4 24.0 25.0 24.1 13.6 18.1 20.6 22.5 28.5 23.8

    25.0 18.7 23.0 25.0 24.5 27.2 26.1 23.7 17.1 18.8 20.3 16.3 19.6 23.5 18.0 28.5 18.0 17.1 29.2 24.0 25.1 22.0 26.5 16.4 19.3 24.8 20.5 26.4 8.0 28.0 20.7 34.8 34.3 15.4 25.5 23.0 20.0 21.0 25.7 27.2 27.0 21.2 19.7 28.0 19.3 22.8 21.5 21.4 18.0 15.1 24.3 26.1 8.5 27.2 26.3

    24.3 22.5 22.4 28.6 16.4 27.5 17.0 19.1 24.3 19.7 17.2 27.0 14.7 27.8 24.0 20.3 20.6 19.0 28.8 27.2 27.2 14.0 25.3 19.3 29.5 26.6 14.6 25.2 20.8 22.1 24.7 19.7 20.0 19.7 22.1 20.0 21.4 20.0 13.7 30.0 16.0 18.3 21.1 22.0 14.2 15.5 24.7 19.2 24.0 29.0 30.8 21.0 11.6 26.1 17.6

    15.4 23.0 18.7 20.6 25.2 31.2 19.1 26.1 22.5 28.7 24.3 21.4 21.5 23.1 17.8 23.5 21.6 18.2 9.4 20.2 32.0 16.0 21.2 25.5 24.9 21.7 15.9 19.6 28.8 20.0 32.2 34.7 23.8

  • 350 Appendix

    Appendix C

    Sample tree data for fitting height curves

    No. dbh h No dbh h No dbh h No dbh h – (cm) (m) – (cm) (m) – (cm) (m) – (cm) (m)

    1 11.4 9.6 15 17.7 15.8 29 22.2 17.8 43 28.0 19.6 2 11.0 11.5 16 18.2 14.0 30 22.3 17.5 44 20.5 15.8 3 12.5 12.1 17 18.3 13.6 31 22.4 17.8 45 20.5 18.4 4 14.0 15.1 18 18.3 16.4 32 22.8 15.8 46 7.9 9.8 5 14.3 11.6 19 18.3 16.6 33 22.9 16.1 47 8.6 9.8 6 14.5 12.3 20 20.1 14.7 34 23.0 17.6 48 9.1 9.5 7 15.0 15.8 21 20.3 17.1 35 23.1 17.1 49 10.1 11.0 8 15.5 14.4 22 20.3 17.8 36 23.2 14.9 50 31.5 20.1 9 16.2 16.3 23 20.6 14.5 37 23.9 17.1 51 30.7 19.9

    10 16.5 14.3 24 20.7 16.2 38 24.8 19.0 52 33.6 20.6 11 16.5 15.3 25 21.2 16.6 39 25.0 18.3 53 8.1 8.0 12 17.0 14.3 26 21.5 17.4 40 26.0 17.9 64 9.5 9.2 13 17.2 14.0 27 21.7 17.7 41 26.4 19.4 55 12.0 13.0 14 17.2 15.0 28 22.0 18.3 42 27.5 17.8 – – –

    Appendix D

    Conversion factors for linear, square, cubic, and weight measures

    English measures Linear measures Square measures 1 inch (in.) 2.54 cm 1 sq in. 6.4516 cm2

    1 foot (ft) 0.3048 m 1 sq ft 0.0929 m2

    1 yard (yd) 0.9144 m 1 sq yd 0.8361 m2

    1 mile (mi) 1609 m 1 sq mi 258.888 hectares (ha) 1 chain 20.1168 m 1 sq ft quarter girth (q.g.) 0.11893 m2

    1 inch q.g. 3.234 cm 1 acre 0.4047 ha 1 inch true girth 0.8086 cm 1 sq ft (q.g.) per acre 0.2923 m2/ha

    1 sq ft (true) per acre 0.2296 m2/ha

  • Appendix 351

    English measures Cubic measures Weight measures 1 cu in. 16.387 m3 1 ounce 28.35 g 1 cu ft 0.0283 m3 1 pound 453.6 g 1 cu yd 0.7645 m3 1 long ton 1016 kg 1 hoppus ft 0.0361 m3 1 short ton 907.2 kg 1 cord 3.6246 m3

    1 hoppus ft per acre 0.0891 m3/ha 1 cu ft per acre 0.06997 m3/ha

    Russian measures Linear measures Square measures Cubic measures

    1 linja 0.254 cm 1 q-djujim 6.4516 cm2 1 cu.djujm 16.387 cm3

    1 djujm 2.54 cm 1 q-werschok 19.758 cm2 1 cu ft 28.317 dm3

    1 werschok 4.445 cm 1 q-ft 929.030 cm2 1 cu aschin 0.3597 m3

    1 Russ. Ft 30.48 cm 1 q-arschin 0.5058 m2 1 cu sashen 9.713 m3

    1 arschin 71.12 cm 1 q-sashen 4.552 m2 1 Pt. standard 4.672 m3

    1 sashen 213.34 cm 1 q-desjatine 1.0925 ha 1 werst 1066.8 m

    Japanese measures Linear measures Square measures Cubic measures

    1 sun 3.030 cm 1 tsubo 3.3058 m2 1 sai 0.01815 m3

    1 sasi 30.303 cm 1 tan 991.7 m2 1 ken 6.0105 m3

    1yozjo 303.03 cm 1 cho 0.9917 ha 1 ri 3927.3 m

  • BIBLIOGRAPHY

    TEXTBOOKS AND MANUALS

    Assmann, E. (1957) Holzmesslehre. In: Neudammer Forstliches Lehrbuch (Ed. K. Rubner), Radebeul, pp 209–273

    Avery, Th.E. and Burkhart, H.E. (1983) Forest Measurements, 4th edition. McGraw-Hill, New York, 331 pp

    Bitterlich, W. (1984) The Relascope Idea. Relative Measurements in Forestry. Common- wealth Agricultural Bureau Farnham, England

    Firat, F. (1958) Dendrometrie, 2nd edition, Istanbul Gadow, K. von and Bredenkamp, B. (1992) Forest Management. Academica, Pretoria Hildebrandt, G. (1996) Fernerkundung und Luft Fernerkundung und Luftbildmessung.

    Wichmann Verlag, Heidelberg, 676 pp Husch, B., Miller, C.I. and Beers, T.W. (1982) Forest Mensuration. Ronald Press, New York Huss, J. (Ed.) (1984) Luftbildmessung und Fernerkundung in der Forstwirtschaft. Herbert

    Wichmann. Verlag, Karlsruhe, 406 S. Kramer, H. (1988): Waldwachstumslehre, Verlag Paul Parey, Hamburg und Berlin, 374 S. Kramer, H. and Akça, A. (2002) Leitfaden zur Waldmesslehre. 4. Aufl., Sauerländer’s

    Verlag, Frankfurt am Main, 266 S. Laar, A. van (1979) Biometrische Methoden in der Forstwissenschaft. Forsch. Ber. d. Forstl.

    Forsch. Anst. München, Vol. 44 Laar, A. van (1991) Forest Biometry. Comm. University Stellenbosch Laer, W. von and Speidel, G. (1959) Forsteinrichtung, Leitsätze und Zahlengrundlagen.

    In: Grundlagen der Forstwirtschaft (Ed. R. Müller), pp 517–596 Loetsch, F. and Haller, K.E. (1964) Forest Inventory, Vol. I. BLV, München Loetsch, F., Zöhrer, F. and Haller, K.E. (1973) Forest Inventory, Vol. II. BLV, München Meyer, H.A. (1957) Forest mensuration. Penns Valley, Pennsylvania, 2. Aufl. Müller, U. (1923) Lehrbuch der Holzmeßkunde. 3. Aufl., Verlag Paul Parey, Berlin Pardé, J. and Bouchon, J. (1988) Dendrométrie. Engref, Nancy, France Pardé, J. and Bouchon, J. (1994) Dasometrı́a. Editorial Paraninfo, Madrid Prodan, M. (1951) Messung der Waldbestände. Sauerländer’s Verlag, Frankfurt am Main. Prodan, M. (1961) Forstliche Biometrie. BLV, München Prodan, M. (1965) Holzmeßlehre. Sauerländer’s Verlag, Frankfurt am Main.

    353

  • 354 Bibliography

    Speidel, G. (1972) Planung im Forstbetrieb. Verlag Paul Parey, Hamburg Spurr, S.H. (1952) Forest Inventory. Ronald Press, New York Tischendorf, W. (1927) Lehrbuch der Holzmassenermittlung. Berlin Zöhrer, F. (1980) Forstinventur. Verlag Paul Parey, Hamburg

    LITERATURE CITED

    Adlard, P.G. (1974) Development of an empirical model for individual trees within a stand. In: Growth models for tree and stand simulation. Stockholm Res. Rep. No. 30, pp 22–37

    Akça, A. (1973) Baumhöhenmessung mit einem Stereoauswertungsgerät II. Ordnung. IUFRO Symp. S. 6.05, Freiburg, pp. 179–185

    Akça, A. (1983) Rationalisierung der Bestandeshöhenermittlung in der Forsteinrichtung und bei Grorauminventuren. Forstarchiv: 103–106

    Akça, A. (1984) Zur Zuwachsschätzung mit Hilfe von Kronenmessungen im Luftbild. Allg. Forst u. Jagdzeitung, 136–141

    Akça, A., Hildebrandt, G. and Reichert, P. (1971) Baumhöhenmessung aus Luftbildern durch einfache Parallaxenmessung. Forstwiss. Cbl., pp 201–215

    Akça, A. and Sang-Emden, R. (1986) Zur Optimierung von repräsentativen Bestandesauf- nahmen. AFJZ 157: 43–47

    Akça, A., Dong, P.H., Böckmann, Th. (1991) Der Stellenwert von Luftbildern und anderen Fern-Erkundungsmethoden im Rahmen von Großrauminventuren. Abschlußbericht DFG AK 9/1–2

    Akça, A., Dong, P.H., Beisch, Th. (1993) Zweiphasige Stichprobeninventur zur Holzvorrats und Zuwachsschätzung. Proc. Symp. Application of Remote Sensing in Forestry, Zwolen, pp 16–25

    Albrektson, A. (1984) Sapwood basal area and needle mass of Scots pine (Pinus sy