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Integrated Stand Growth Model (ISGM)

Integrated Stand Growth Model (ISGM). Hong LingXia 2006-06-28 The research institute of forest resource information techniques, Chinese Academy of Forestry (CAF). Abstract-1. Integrated Stand Growth Model (ISGM) is a group of correlated equations which include:

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Integrated Stand Growth Model (ISGM)

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  1. Integrated Stand Growth Model (ISGM) Hong LingXia 2006-06-28 The research institute of forest resource information techniques, Chinese Academy of Forestry (CAF)

  2. Abstract-1 Integrated Stand Growth Model (ISGM) is a group of correlated equations which include: 1) basal area growth model 2) density index definition 3) basal area equation 4) Self-thinning model 5) dominant tree growth model 6) average tree growth model 7) form height model 8) stand volume model

  3. Abstract-2 The statistical algorithm of nonlinear error-in-variable simultaneous equations is used to estimate the parameters of correlated equations to ensure that the parameter estimation of the group of correlated equations in ISGM is unbiased and the equations are compatible. ISGM can be used to simulate the even age stand growth and can out put different kinds of growth tables with different site index, stand density, thinning method and draw stand density control graph by ForStat (Chinese,CAF) or Capsis(English,CIRAD,Amap) software.

  4. 1.basal area growth model b1,b2,b3,b4,b5 : parameters G: total basal area S: density index age: the age of even-aged stand

  5. 2.density index definition S: density index N: number of trees per hectare D: average diameter at breast height β: parameter—self thinning rate

  6. 3.basal area equation G: total basal area N: number of trees per hectare D: average diameter at breast height

  7. 4.self-thinning model a: a constant , for a given stand, the constant is decided by afforestation density (initial density ) sf: parameter--maxim density index β: parameter--self thinning rate γ: parameter

  8. 5.dominant tree growth model b,c: parameters L: site index age: the age of even-aged stand baseage: basic Site index age (in China,20) Schumacher Richards

  9. 6.average tree growth model a1,a2: parameters UH: dominant tree height PH: average tree height

  10. 7.form height model c1 ,c2 : parameters PH: average tree height

  11. 8.stand volume mode fH: form height G: total basal area

  12. ISGM model in ForStat software (Chinese) Two main parts : 1. From the measurement data to calculate all the parameters in ISGM model . 2. To simulate the normal stand growth , thinning growth and draw the DensityControlGraph.

  13. 1-1.Measurement data volume Average tree height Dominant tree height breast height diameter Site type Plot number age Number of trees per hectare

  14. 1-2.Measurement data requirement 1.For each site type must have several plot data, which include different age, different density and some maximum density plot . 2.For each plot must have some serial measurement data of different age. 3.If one plot have been thinned, before thinning and after thinning is treated as two plot ( have the same site type and different plot number ).

  15. 1-3.parameters calculation (ForStat)

  16. 1-4.out put window (ForStat) parameters

  17. 2. To simulate the normal stand growth , thinning growth and draw the DensityControlGraph. • ForStat software ----Chinese • Capsis platform----Isgm model----English

  18. Capsis platform--Isgm model--English 1.Normal growth simulation: 1)From plantation 2)From current situation 2.Thinning simulation: Thinning procedure( selection ) 3.DensityControlGraph This kind of graph is originate in Japan.

  19. 2-1. Normal growth simulation--From plantation

  20. give evolution selection:

  21. Results—1.stand growth table

  22. Results—2.dbh growth curve

  23. Results—3.density index curve

  24. Results—4.number of trees curve

  25. Results—5.total basal area growth curve

  26. Results—6.tree height growth curve

  27. Results—7.volume growth curve

  28. Results—8.volume growth rate

  29. 2-2. Normal growth simulation--From current

  30. 2-3. thinning simulation--From planted

  31. 2-4. DensityControlGraph

  32. References: • 1.Tang Shouzheng, Meng ZhaoHe, Meng FanRui.1994.A growth and self-thinning model for pure even-aged stands theory and applications. Forest Ecology and Management 70(1994): 67~73. • 2.Tang Shouzheng, Meng FanRui, Meng ZhaoHe.1995.The impact of initial stand density and site index on maximum stand density index and self-thinning index in a stand self-thinning model. Forest Ecology and Management 70(1995): 61~68. • 3. Tang ShouZheng, Li Yong.1996.An Algorithm for Estimating Multivariate Non-liner error-in-measure Models. Journal of Biomathematics. 11(1): 23~27. • 4.Tang SZ，Li Y，Wang YH, 2001，Simultaneous equations, error-in-variable models, and model integration in systems ecology Source:ECOLOGICAL MODELLING, 142 (3): 285-294 • 5.Tang SZ，YH Wang，2002，A parameter estimation program for the error-in-variable model，156(23):225-236 • 6. Li YongCi, 2004,Study on Parameter Estimate of Growth and Harvest Models Based on the Methods of Mixed Model and Measurement Error Model. Doctor Thesis (Chinese with English abstract ).

  33. Thank you!Welcome all of you to China

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