1 | \begin{equation} |
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2 | FPC = \frac{CN \cdot IND}{FRAC} \cdot \left[ 1 - \exp \left( -1 \cdot |
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3 | LM_{\rm max} \cdot SLA \cdot coff \right) \right] |
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4 | \end{equation} |
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5 | where $FPC$ is foliage projective cover (``fpc\_nat'' in source code), |
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6 | $CN$ crown area (cn\_ind; m$^{2}$), $IND$ number of individuals (ind; |
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7 | m$^{-2}$), $FRAC$ total fraction occupied by natual vegetation |
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8 | (fracnat), $LM_{\rm max}$ maximum leaf mass in last year |
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9 | (lm\_lastyearmax; g C m$^{-2}$), $SLA$ specific leaf area (sla; |
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10 | m$^{2}$ (g C)$^{-1}$), and $coff$ coefficient (ext\_coeff). |
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11 | |
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12 | \begin{equation} |
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13 | EST_{\rm tree} = EST_{clm} \left[1 - \exp \left( -5 \cdot (1 - FPC_{\rm woody}) |
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14 | \right) \right] \cdot (1 - FPC_{\rm woody}) |
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15 | \end{equation} |
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16 | where $EST_{\rm tree}$ is maximum tree establishment rate |
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17 | (estab\_rate\_max\_tree), $EST_{clm}$ maximum tree establishment rate |
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18 | controled by climate (estab\_rate\_\\max\_climate\_tree), $FPC_{\rm |
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19 | woody}$ total woody FPC (sumfpc\_wood). |
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20 | |
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21 | \begin{equation} |
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22 | EST_{\rm grass} = \max \left[ \min \left[ EST_{clm}, 0.98 - FPC_{\rm sum} \right], |
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23 | 0 \right] |
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24 | \end{equation} |
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25 | where $EST_{\rm grass}$ is maximum grass establishment rate |
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26 | (estab\_rate\_max\_grass) and $FPC_{\rm sum}$ total natural fpc |
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27 | (sumfpc). |
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28 | |
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29 | \begin{equation} |
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30 | FPC = \min \left[ 1, CN \right] \cdot IND \cdot \max \left[ 1 - \exp |
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31 | \left( -coff \cdot LAI \right), MIN_{\rm cover} \right] |
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32 | \end{equation} |
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33 | where $MIN_{\rm cover}$ is fraction of crown area invaded by other |
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34 | trees (min\_cover = 0.05) |
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35 | |
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36 | |
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37 | |
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