呼伦贝尔沙地樟子松天然林结构多样性和竞争对树木生长的影响

池静姚, 潘磊磊, SeMyung Kwon, 张晓, 李雨衡, 杨晓晖, 时忠杰

Influence of stand structure diversity and competition on tree growth of natural Pinus sylvestris var. mongolica forest in Hulun Buir Sandy Land

Jingyao Chi, Leilei Pan, Kwon SeMyung, Xiao Zhang, Yuheng Li, Xiaohui Yang, Zhongjie Shi

表2 单木竞争指数

Table 2 Individual tree competition index

竞争指数	文献	竞争指数	文献	竞争指数	文献
$C I_{1} = \sum_{j = 1}^{n} \frac{d_{j}}{d_{i} \cdot d i s t_{i j}}$	[27]	$C I_{17} = \sum_{j = 1}^{n} a r c t a n (\frac{d_{j}}{d i s t_{i j}})$	[29]	$C I_{33} = \frac{d_{i}}{q}$	[44]
$C I_{2} = \sum_{j = 1}^{n} \frac{d_{j}}{d_{i}} \cdot \frac{1}{d i s t_{i j} + 1}$	[28]	$C I_{18} = \sum_{j = 1}^{n} \frac{d_{j}}{d_{i}} ? a r c t a n (\frac{d_{j}}{d i s t_{i j}})$	[29]	$C I_{34} = (\sum_{d_{i} < d_{j}}^{n} g_{j}) / S$	[45]
$C I_{3} = \sum_{j = 1}^{n} \frac{d_{j}}{d_{i}} \cdot \frac{1}{d i s t_{i j}^{2}}$	[29]	$C I_{19} = \sum_{j = 1}^{n} a r c t a n (\frac{h_{j}}{d i s t_{i j}})$	[29]	$C I_{35} = \frac{d_{i}}{d_{m a x}}$	[46]
$C I_{4} = \sum_{j = 1}^{n} {(\frac{d_{j}}{d_{i}})}^{2} \cdot \frac{1}{d i s t_{i j}}$	[29]	$C I_{20} = \sum_{j = 1}^{n} \frac{h_{j}}{h_{i}} ? a r c t a n (\frac{h_{j}}{d i s t_{i j}})$	[8]	$C I_{36} = \frac{g_{i}}{g_{m a x}}$	[46]
$C I_{5} = \sum_{j = 1}^{n} \frac{d_{i}^{2}}{d_{i}^{2} + d_{j}^{2}} \cdot d i s t_{i j}$	[30]	$C I_{21} = \sum_{j = 1}^{n} a r c t a n (\frac{h_{j} - h_{i}}{d i s t_{i j}})$	[31]	$C I_{37} = \frac{g_{i}}{\overset{ˉ}{g}}$	[46]
$C I_{6} = \sum_{j = 1}^{n} \frac{d_{j}}{d i s t_{i j}}$	[29]	$C I_{22} = \sum_{j = 1}^{n} \frac{C R_{j}}{C R_{i} \cdot d i s t_{i j}^{0.5}}$	[36]	$C I_{38} = \sum_{j = 1}^{n} \frac{d_{j}^{2}}{d_{i}^{2}}$	[47]
$C I_{7} = \sum_{j = 1}^{n} \frac{h_{j}}{h_{i} ? d i s t_{i j}}$	[31]	$C I_{23} = \sum_{j = 1}^{n} \frac{d_{j}}{d_{i} \cdot d i s t_{i j}^{0.5}}$	[36]	$C I_{39} = \frac{C R_{i}}{\overset{ˉ}{C R}}$	[48]
$C I_{8} = \frac{\sum_{j = 1}^{n} {(\frac{d_{j}}{d_{i} + d_{j}} d i s t_{i j})}^{2}}{n d_{i}^{2}} ? 40000$	[32]	$C I_{24} = \sum_{j = 1}^{n} \frac{O_{i j}}{a_{i}}$	[37]	$C I_{40} = \frac{C R_{i}}{h_{i}}$	[48]
$C I_{9} = \sum_{j = 1}^{n} \frac{O L_{i j} ? C R_{i}}{2}$	[33]	$C I_{25} = \sum_{j = 1}^{n} \frac{O_{i j} ? d_{j}}{a_{i} ? d_{i}}$	[38]	$C I_{41} = \frac{C L_{i}}{h_{i}}$	[48]
$C I_{10} = \sum_{j = 1}^{n} \frac{a_{j}}{a_{i} \cdot d i s t_{i j}}$	[34]	$C I_{26} = \sum_{j = 1}^{n} \frac{a_{i}}{a_{j}} ? \frac{d_{j}}{d_{i}} ? \frac{1}{d i s t_{i j}}$	[39]	$C I_{42} = \frac{C R_{i}}{C L_{i}}$	[48]
$C I_{11} = \sum_{j = 1}^{n} \frac{a_{j}}{a_{i}}$	[35]	$C I_{27} = \sum_{j = 1}^{n} \frac{O_{i j} C R_{j} h_{j}}{a_{i} C R_{i} h_{i}}$	[40]	$C I_{43} = \frac{C r o w n V_{i}}{d_{i}}$	[49]
$C I_{12} = \sum_{j = 1}^{n} {(\frac{a_{j}}{a_{i}})}^{2}$	[35]	$C I_{28} = \sum_{j = 1}^{n} π (\frac{d i s t_{i j} ? d_{i}}{d_{i} + d_{j}}) \frac{d_{j} / d i s t_{i j}}{\sum_{j = 1}^{n} d_{j} / d i s t_{i j}}$	[41]	$C I_{44} = \frac{C R_{i}}{d_{i}}$	[48]
$C I_{13} = \sum_{j = 1}^{n} \frac{a_{j} h_{j}}{a_{i} h_{i}}$	[35]	$C I_{29} = \frac{d_{i}^{2}}{{\overset{ˉ}{D}}^{2}}$	[42]	$C I_{45} = \frac{C S A_{i}}{g_{i}}$	[49]
$C I_{14} = \sum_{j = 1}^{n} {(\frac{a_{j} h_{j}}{a_{i} h_{i}})}^{2}$	[35]	$C I_{30} = \frac{d_{i}^{2}}{(\sum_{j = 1}^{n} d_{j}^{2}) / n}$	[43]	$C I_{46} = \sum_{j = 1}^{n} g_{j}$	[36]
$C I_{15} = \sum_{j = 1}^{n} \frac{a_{j} h_{j}}{a_{i} h_{i}} \cdot \frac{1}{d i s t_{i j}}$	[35]	$C I_{31} = \frac{h_{i}}{\overset{ˉ}{H}}$	[43]
$C I_{16} = \sum_{j = 1}^{n} {(\frac{a_{j} h_{j}}{a_{i} h_{i}})}^{2} \cdot \frac{1}{d i s t_{i j}}$	[35]	$C I_{32} = \frac{d_{i}^{2} \cdot h_{i}}{{\overset{ˉ}{D}}^{2} \cdot \overset{ˉ}{H}}$	[43]