M·C, IST: tree growth

Tree growth

Estimates the selected, optimizable parameters for an experiment. Under construction

2024.Jul.03 12:38:10

Abscissas

i (order no.) x₁

Selected abscissas for graph.

n, nvar, npar

No. of experimental points, independent variables, and total model parameters.

niv, ivopt

No. of optimizable model parameters and its rank vector.

X-values given row-wise.

20 38 45 56 60 65 72 76 80 84 87 94 106 120 140 156 168 11 19 22 25 28 33 40 44 49 53 59 64 72 82 96 116 135 161 16 24 27 32 36 41 46 52 56 61 68 75 86 111 34 40 43 46 50 53 56 62 69 101 112 24 35 39 43 46 52 57 61 66 79 95 29 39 42 48 52 56 61 65 69 74 82 94 108 133 27 35 38 41 45 48 54 62 69 76 85 91 101 111 17 24 28 31 34 38 41 45 50 56 64 76 15 28 31 36 41 48 54 63 68 97 15 22 25 28 32 35 39 43 48 53 58 64 71 79 86 93 16 24 28 31 35 39 42 49 62 71 76 83 91 101 117 26 35 38 41 46 49 55 63 72 80 91 98 114 127 14 20 23 27 32 40 45 50 56 62 68 72 79 88 100 27 38 42 46 50 57 64 68 75 87 102 113 122 135 144 155 38 42 47 53 59 65 68 74 83 90 98 105 118 131 175 24 35 40 46 60 79 99 121 155 172 40 62 68 74 77 82 87 99 105 115 143 21 31 35 40 46 51 56 61 74 84 94 114 151 160 34 50 58 73 87 102 123 161 213 27 44 58 67 78 93 113 126 148 176 229 80 86 97 111 126 155 182 220 252 284 294 20 28 36 41 46 61 86 113 143 171 15 26 30 35 40 46 51 57 67 76 91 116 138 147 25 35 38 42 46 50 55 59 63 69 73 79 85 90 101 106 119 17 26 31 35 38 42 46 50 54 60 65 70 79 84 90 97 103 16 24 27 31 40 47 56 62 67 75 82 101 120 167 13 20 24 28 33 37 41 49 56 61 71 82 89 99 114 138 162 30 37 41 44 48 53 61 65 72 77 82 87 92 106 115 126 171 13 22 27 30 35 39 46 53 57 64 71 75 87 95 120 133 156 30 44 50 57 63 69 74 80 86 91 98 111 128 23 36 39 44 53 57 67 74 83 93 103 122 154 21 31 36 42 50 55 64 74 81 150 8 15 21 26 34 43 48 61 74 89 141 4 11 20 28 35 45 70 95 118 164 172 16 27 34 40 49 58 68 77 87 95 108 143

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Y-values.

2.8 5.3 6.3 7.3 8.3 9.3 10.3 11.3 12.3 13.3 14.3 15.3 16.3 17.3 18.3 19.3 19.9 2.8 5.3 6.3 7.3 8.3 9.3 10.3 11.3 12.3 13.3 14.3 15.3 16.3 17.3 18.3 19.3 20.3 21.2 2.8 5.3 6.3 7.3 8.3 9.3 10.3 11.3 12.3 13.3 14.3 15.3 16.3 17.4 2.7 5.2 6.2 7.2 8.2 9.2 10.2 11.2 12.2 14.2 14.7 2.7 5.2 6.2 7.2 8.2 9.2 10.2 11.2 12.2 13.2 14.2 2.8 5.3 6.3 7.3 8.3 9.3 10.3 11.3 12.3 13.3 14.3 15.3 16.3 17 2.8 5.3 6.3 7.3 8.3 9.3 10.3 11.3 12.3 13.3 14.3 15.3 16.3 16.9 2.8 5.3 6.3 7.3 8.3 9.3 10.3 11.3 12.3 13.3 14.3 15.4 2.8 5.3 6.3 7.3 8.3 9.3 10.3 11.3 12.3 13.6 2.8 5.3 6.3 7.3 8.3 9.3 10.3 11.3 12.3 13.3 14.3 15.3 16.3 17.3 18.3 19.4 2.8 5.3 6.3 7.3 8.3 9.3 10.3 11.3 12.3 13.3 14.3 15.3 16.3 17.3 17.9 2.8 5.3 6.3 7.3 8.3 9.3 10.3 11.3 12.3 13.3 14.3 15.3 16.3 16.8 2.8 5.3 6.3 7.3 8.3 9.3 10.3 11.3 12.3 13.3 14.3 15.3 16.3 17.3 18 2.7 5.2 6.2 7.2 8.2 9.2 10.2 11.2 12.2 13.2 14.2 15.2 16.2 17.2 18.2 18.6 2.7 5.2 6.2 7.2 8.2 9.2 10.2 11.2 12.2 13.2 14.2 15.2 16.2 17.2 18.1 2.6 5.1 6.1 7.1 8.1 9.1 10.1 11.1 12.1 12.3 2.6 5.1 6.1 7.1 8.1 9.1 10.1 11.1 12.1 13.1 14 2.6 5.1 6.1 7.1 8.1 9.1 10.1 11.1 12.1 13.1 14.1 15.1 16.1 16.2 2.7 4.2 5.2 6.2 7.2 8.2 9.2 10.2 11 2.7 5.2 6.2 7.2 8.2 9.2 10.2 11.2 12.2 13.2 14 2.8 4.3 5.3 6.3 7.3 8.3 9.3 10.3 11.3 12.3 12.6 2.7 4.2 5.2 6.2 7.2 8.2 9.2 10.2 11.2 12 2.7 5.2 6.2 7.2 8.2 9.2 10.2 11.2 12.2 13.2 14.2 15.2 16.2 16.3 2.7 5.2 6.2 7.2 8.2 9.2 10.2 11.2 12.2 13.2 14.2 15.2 16.2 17.2 18.2 19.2 20.2 2.8 5.3 6.3 7.3 8.3 9.3 10.3 11.3 12.3 13.3 14.3 15.3 16.3 17.3 18.3 19.3 19.6 2 4 5 6 7 8 9 10 11 12 13 15 16 18.75 2 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 18.85 2 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 2 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19.1 2 4 5 6 7 8 9 10 11 12 13 14 14.9 2 4 5 6 7 8 9 10 11 12 13 14 14.5 2 4 5 6 7 8 9 10 11 14.6 1 2 3 4 5 6 7 8 9 10 10.2 1 2 3 4 5 6 7 8 9 10 10.1 2 3 4 5 6 7 8 9 10 11 12 13

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Par. names

1.α 2.β 3.γ

Parameter names. •

Parameters; scale factors.
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krit

1 2 (min. sq.) 3 4 ∞ (minmax)

Criterion [power of |y_calc−y|].

tol, maxcal, imonit

Tolerance, max. no. of iterations, monitoring.

Show values

Shows the values of the graph coordinates.

Estimates the selected parameters in the given model (Chapman-Richards). (The Nelder-Mead algorithm is used to optimize fit.) Only the parameters selected in 'ivopt' are optimized from the initial guess, P, given.
NB: in this example, β is made negative in the model, irrespective of its sign (β := −|β|).

References:

Plate: Model090221

• Sharma, Mahadev, and John Parton, 2007, "Height-diameter equations for boreal tree species in Ontario using a mixed-effects modeling approach", Forest Ecology and Management, 249, 187–198.

• 1796-02-22: Quetelet, Lambert A. J., birthday.

http://web.tecnico.ulisboa.pt/~mcasquilho/compute/com/Fx-treegrowth.php
Created: 2009-02-21 — Last modified: 2009-02-24