Structural Diversity Results - Revision history

Jonare at 06:18, 12 June 2025

2025-06-12T06:18:49Z

LarsSangstuvall: Added environmental goal indicator variables

2023-04-24T12:58:54Z

Added environmental goal indicator variables

JeanetteEggers at 06:43, 18 March 2022

2022-03-18T06:43:48Z

Peder at 18:04, 28 March 2016

2016-03-28T18:04:44Z

Peder at 18:04, 28 March 2016

2016-03-28T18:04:33Z

Peder: /* Calculation of Gini coefficient in Heureka */

2016-03-22T07:45:18Z

Calculation of Gini coefficient in Heureka

Peder: /* Calculation of Gini coefficient in Heureka */

2016-03-22T07:44:14Z

Calculation of Gini coefficient in Heureka

Peder: /* Calculation of Gini coefficient in Heureka */

2016-03-22T07:38:38Z

Calculation of Gini coefficient in Heureka

Peder: /* Calculation of Gini coefficient in Heureka */

2016-03-22T07:38:09Z

Calculation of Gini coefficient in Heureka

Peder at 15:59, 21 March 2016

2016-03-21T15:59:31Z

@@ Line 7: / Line 7: @@
 | align="left" style="background:#f0f0f0;width: 55%;"|'''Description'''
 |-style="vertical-align:top;"
-| Deadwood-rich forest||boolean||Indicates if a treatment unit holds at least 20 m3 of dead wood with a diameter of at least 20 cm.
+| Deadwood-rich forest||boolean||Indicates if a treatment unit holds at least 20 m3/ha of dead wood with a diameter of at least 20 cm.
 |-style="vertical-align:top;"
 | Even-aged Class||code||Even-aged type. <ol start="0"><li>Unknown: No information <li>EvenAged: If at least 95% of the volume is within a 5-year range. <li>MostlyEvenAged: If at least 80% of the volume is within a 20-year age range <li>UnevenAged: Otherwise.</ol>

@@ Line 6: / Line 6: @@
 | align="left" style="background:#f0f0f0;width: 10%;"|'''Unit'''
 | align="left" style="background:#f0f0f0;width: 55%;"|'''Description'''
 |-style="vertical-align:top;"
 | Even-aged Class||code||Even-aged type. <ol start="0"><li>Unknown: No information <li>EvenAged: If at least 95% of the volume is within a 5-year range. <li>MostlyEvenAged: If at least 80% of the volume is within a 20-year age range <li>UnevenAged: Otherwise.</ol>
 |-style="vertical-align:top;"
 | Tree Size Diversity (Gini Coefficient)||0-1||The [http://en.wikipedia.org/wiki/Gini_coefficient Gini coefficient] is an equality index between 0 (=maximum equality, i.e. all trees have the the same size) and 1 (=maximum inequality). The index has been proposed to be used for forestry planning by Lexerød & Eid (2006)<ref name="LexerodEid2006_GiniCoeff">.  {{:Bibliografi:LexerodEid2006_GiniCoeff}}</ref>.

@@ Line 7: / Line 7: @@
 | align="left" style="background:#f0f0f0;width: 55%;"|'''Description'''
 |-style="vertical-align:top;"
-| Even-aged Class||code||Even-aged type. <ol start="0"><li>Unknown: No information <li>EvenAged: In Heureka, calculated at MostlyEvenAged <li>MostlyEvenAged: If at least 80 % of the volume are within a 20-year age range <li>UnevenAged: Otherwise.</ol>Note that the definition differs from the one used in the Swedish NFI.
+| Even-aged Class||code||Even-aged type. <ol start="0"><li>Unknown: No information <li>EvenAged: If at least 95% of the volume is within a 5-year range. <li>MostlyEvenAged: If at least 80% of the volume is within a 20-year age range <li>UnevenAged: Otherwise.</ol>
 |-style="vertical-align:top;"
 | Tree Size Diversity (Gini Coefficient)||0-1||The [http://en.wikipedia.org/wiki/Gini_coefficient Gini coefficient] is an equality index between 0 (=maximum equality, i.e. all trees have the the same size) and 1 (=maximum inequality). The index has been proposed to be used for forestry planning by Lexerød & Eid (2006)<ref name="LexerodEid2006_GiniCoeff">.  {{:Bibliografi:LexerodEid2006_GiniCoeff}}</ref>.

@@ Line 7: / Line 7: @@
 | align="left" style="background:#f0f0f0;width: 55%;"|'''Description'''
 |-style="vertical-align:top;"
-| Even-aged Class||code||Even-aged type. <ol start="0"><li>Unknown: No information <li>EvenAged: In Heureka, calculated at MostEvenAged <li>MostlyEvenAged: If at least 80 % of the volume are within a 20-year age range <li>UnevenAged: Otherwise.</ol>Note that the definition differs from the one used in the Swedish NFI.
+| Even-aged Class||code||Even-aged type. <ol start="0"><li>Unknown: No information <li>EvenAged: In Heureka, calculated at MostlyEvenAged <li>MostlyEvenAged: If at least 80 % of the volume are within a 20-year age range <li>UnevenAged: Otherwise.</ol>Note that the definition differs from the one used in the Swedish NFI.
 |-style="vertical-align:top;"
 | Tree Size Diversity (Gini Coefficient)||0-1||The [http://en.wikipedia.org/wiki/Gini_coefficient Gini coefficient] is an equality index between 0 (=maximum equality, i.e. all trees have the the same size) and 1 (=maximum inequality). The index has been proposed to be used for forestry planning by Lexerød & Eid (2006)<ref name="LexerodEid2006_GiniCoeff">.  {{:Bibliografi:LexerodEid2006_GiniCoeff}}</ref>.

@@ Line 7: / Line 7: @@
 | align="left" style="background:#f0f0f0;width: 55%;"|'''Description'''
 |-style="vertical-align:top;"
-| Even-aged Class||code||Even-aged type. <ol start="0"><li>Unknown: No information <li>EvenAged: If at least 80 % of the volume are within a 20-year age range <li>UnevenAged: Otherwise.</ol>Note that the definition differs from the one used in the Swedish NFI.
+| Even-aged Class||code||Even-aged type. <ol start="0"><li>Unknown: No information <li>EvenAged: In Heureka, calculated at MostEvenAged <li>MostlyEvenAged: If at least 80 % of the volume are within a 20-year age range <li>UnevenAged: Otherwise.</ol>Note that the definition differs from the one used in the Swedish NFI.
 |-style="vertical-align:top;"
 | Tree Size Diversity (Gini Coefficient)||0-1||The [http://en.wikipedia.org/wiki/Gini_coefficient Gini coefficient] is an equality index between 0 (=maximum equality, i.e. all trees have the the same size) and 1 (=maximum inequality). The index has been proposed to be used for forestry planning by Lexerød & Eid (2006)<ref name="LexerodEid2006_GiniCoeff">.  {{:Bibliografi:LexerodEid2006_GiniCoeff}}</ref>.

@@ Line 17: / Line 17: @@
 ==Calculation of Gini coefficient in Heureka==
-The Gini-coefficent is defined primarily for population with discrete unit. In Heureka, a stand is represented by type trees, where each type tree represents a cohort of trees, where each type tree has a tree expansion factor (a wieght) for the number of trees it represents. This prevents any of the currently available formulas to be applied correctly. As an approximation, the Gini coefficient is calculated with the formula for a discrete probability distribution.
+The Gini coefficient is calculated with the formula for a discrete probability distribution (see https://en.wikipedia.org/wiki/Gini_coefficient).
-First trees are sorting in ascending order so that ''g<sub>i</sub>'' < ''g''<sub>''i''+ 1</sub>, where ''g<sub>i</sub>'' = basal area of type tree ''i''. Basal area is used to take into account that the stand volume is highly affected by the largest trees (see Lexeröd and Eid 2006).
+First trees are sorted in ascending order so that ''g<sub>i</sub>'' < ''g''<sub>''i''+ 1</sub>, where ''g<sub>i</sub>'' = basal area of type tree ''i''. Basal area is used to take into account that the stand volume is highly affected by the largest trees (see Lexeröd and Eid 2006).
 <math>\displaystyle G = 1 - \frac {\sum\limits_{i=1}^n (f(g_i))(S_{i-1} + S_i) }{S_n} </math>

@@ Line 25: / Line 25: @@
 <math> S_i = \sum_{j=1}^i f(g_j)g_j</math>, and
 <br>''S''<sub>0</sub> = 0, and
-<br>''f''(''i'') = Frequence distribution, i.e. proportion of trees that type tree i constitutes of all ''n'' type type trees.
+<br>''f''(''g_i'') = Frequency distribution, where ''g<sub>i</sub>'', ''i'' = 1..''n'', are the tree basal areas, indexed in increasing order (''g<sub>i</sub>''< ''g''<sub>''i''+1</sub>)
 ==References==
 <references />

@@ Line 21: / Line 21: @@
 First trees are sorting in ascending order so that ''g<sub>i</sub>'' < ''g''<sub>''i''+ 1</sub>, where ''g<sub>i</sub>'' = basal area of type tree ''i''. Basal area is used to take into account that the stand volume is highly affected by the largest trees (see Lexeröd and Eid 2006).
-<math>\displaystyle G = 1 - \frac {\sum\limits_{i=1}^n (f_i)(S_{i-1} + S_i) }{S_n} </math>
+<math>\displaystyle G = 1 - \frac {\sum\limits_{i=1}^n (f_g_i)(S_{i-1} + S_i) }{S_n} </math>
 <br><br>where
-<math> S_i = \sum_{j=1}^i f(j)g_j</math>, and
+<math> S_i = \sum_{j=1}^i f(g_j)g_j</math>, and
 <br>''S''<sub>0</sub> = 0, and
 <br>''f''(''i'') = Frequence distribution, i.e. proportion of trees that type tree i constitutes of all ''n'' type type trees.