Scientia Silvae Sinicae ›› 2020, Vol. 56 ›› Issue (9): 143-152.doi: 10.11707/j.1001-7488.20200916
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Zhonghua Zhao,Gangying Hui*
Received:
2018-06-22
Online:
2020-09-25
Published:
2020-10-15
Contact:
Gangying Hui
CLC Number:
Zhonghua Zhao,Gangying Hui. Advances in Structural Diversity of Stand Structure[J]. Scientia Silvae Sinicae, 2020, 56(9): 143-152.
Table 1
Commonly used stand composition diversity indices(species composition as example)"
指数名称Index | 计算公式Formula | 说明Definition |
Shannon-Wiener指数 Shannon-Wiener index ( | pi为第i个树种株数在林分树木总株数中所占百分比,S为树种数。H′越大,表明林分组成结构多样性越高pi is the percentage of the i-th tree species in the total number of trees, S is the number of tree species in the stand. The larger the value of H′, the higher the diversity of the components structure of the stand | |
Pielou均匀度指数 Pielou evenness index ( | E=H′/lnS | H′为Shannon-Wiener指数,S为树种数。E越大,林分树种分配越均匀H′ is the Shannon-Wiener index, S is the number of tree species. The larger the value of E, the more evenness the distribution of structural components of the forest |
Simpson多样性指数 Simpson diversity index ( | S为树种数,pi为第i个树种株数在林分树木总株数中所占百分比。D越大,表明林分中树种多样性越高S is the number of tree species, pi is the percentage of the i-th tree species in the total number of trees. The larger the value of D, the higher the diversity of the components structure of the stand | |
Margalef丰富度指数 Margalef richness index ( | R1=(S-1)/lnN | S为树种数,N为所有树种的个体总数。R1越大,林分中树种的丰富程度越高S is the number of tree species, N is the total number of trees. The larger the value of R1, the higher the diversity of the components structure of the stand |
Table 2
Commonly used stand composition diversity indices based on near neighbor relationship"
指数名称Index | 计算公式Formula | 说明Definition |
Pielou分隔指数 Pielou segregation index ( | N为样地中林木株数,b、c为不同种相邻木的株数;m、n为作参照树的种A、种B单木数;r、s为作最近相邻木的种A、种B单木数。S越大,林分中树种隔离程度越大N is the total number of trees in plot, b and c is the number of different tree species respectively, m and n is the number of specie A and species B respectively, r and s is the number of nearest neighbor of species A and species B. The larger the value of S, the greater the segregation of the tree species in the stand | |
简单混交度 Simple mingling ( | n为相邻木株数,如果第i株林木的第j株相邻木与i为同种,则vij=0;否则vij=1。Mi越大,由n株相邻木组成的结构单元混交程度越大n is the number of neighbor trees, if i-th tree is the same tree species as j-th neighbor tree, vij=0, else, vij=1. The larger the value of Mi,the greater the mixed of structural units which consisting of n adjacent woods | |
林分平均混交度 Stand mean mingling( | N为样地中林木株数, Mi为样地内第i株个体的混交度。${\bar M}$越大,林分树种隔离程度越小,树种混交程度越高N is the total number of trees in plot, Mi is the mingling of i-th tree. The larger the value of ${\bar M}$,the smaller the segregation of the tree species, the greater the mixed of stand | |
树种多样性混交度 Tree species diversity mingling ( | ni为对象木i的n株相邻木中不同树种个数,n为相邻木数目,如果第i株林木的第j株相邻木与i为同种,则vij=0;否则vij=1。Mi越大,林分混交程度越高,树种多样性越大ni is the tree species number in n neighbor trees of object tree i, if i-th tree is the same tree species as j-th neighbor tree, vij=0, else, vij=1. The larger the value of Mi, the greater the mixed of tree species, the higher the diversity of tree species of the stand | |
林分修正混交度 Modify stand mingling( | N为样地中林木株数, Mi为样地内第i株个体的混交度,n′i为第i株树所处结构单元中的树种个数。′越大,林分混交程度越高,树种多样性越大N is the total number of trees in plot, Mi is the mingling of i-th tree.n′i is tree species number in structure unit of i-th tree. The larger the value of M′, the greater the mixed of tree species, the higher the diversity of tree species of the stand | |
树种空间多样性指数(TSS) Tree species spatial diversity index ( | N为样地中林木株数, Mi为样地内第i株个体的混交度,n为树种数,Nsp为树种为sp的个体数,Si为结构单元中的树种数,i为以树种sp为参照树的结构单元数。TSS越大,林分树种空间多样性越高N is the total number of trees in plot, Mi is the mingling of i-th tree. n is the number of tree species, Nsp is the number of species sp, Si is tree species number in structure unit, i is the number of structure unit which object tree is sp. The higher the value of TSS, it indicates that the tree species spatial diversity of stand is higher | |
全混交度 Complete mingling ( | Mi为简单混交度,ni为最近相邻木株数,ci为对象木最近相邻木中非同种的个数,Di为空间结构单元的Simpson指数。Mci越高,林分混交程度越高Mi is simple mingling, ni is number of near neighbor trees, ci is the number of different tree species with object tree, Di is Simpson index of spatial structure unit. The higher the value of Mci, the greater the mixed of stand |
Table 3
Commonly used stand size differentiation diversity indices(tree diameter size as example)"
指数名称Index | 计算公式Formula | 说明Definition |
大小变异系数Size coefficient of variation (Porkress,2004) | n为样地中林木株数, $\overline{{\rm{DBH}}}$为平均胸径DBH的算术平均值。cv越大,林分中树种大小分化程度越大n is the total number of trees in plot, $\overline{{\rm{DBH}}}$ is the arithmetic mean DBH. The higher the value of cv, it indicates that the tree size differentiation of stand is greater | |
胸径分布偏度Diameter distribution skewness (Porkress,2004) | n为样地中林木株数, $\overline{{\rm{DBH}}}$为平均胸径DBH的算术平均值,sd为标准差, sk < 0右偏,sk=0对称分布,sk>0左偏。sk绝对值越大,林木大小分化程度越大n is the total number of trees in plot, $\overline{{\rm{DBH}}}$ is the arithmetic mean DBH, sd is standard deviation, sk < 0 means negatively skewed, sk=0 means symmetric, sk>0 means positively skewed. The greater the absolute value of sk, the greater of trees size differentiation | |
Gini系数 Gini coefficient( | n为样地中林木株数,BAi为林木单株断面积。GC越大,林木大小分化程度越大n is the total number of trees in plot, BAi is basal area of tree i. The greater the value of GC, the greater of trees size differentiation | |
大小分化度Diameter differentiation( | di为参照树直径,d1为最近1株相邻木直径。Ti越大,林木大小分化程度越大di is diameter of object tree, d1 is diameter of the nearest neighbor tree. The greater the value of Ti, the greater of trees size differentiation | |
大小比数Neighborhood comparison( | n为相邻木株数,如果第i株林木的第j株相邻木较i小,则vij=0;否则vij=1。Ui越小,由n株相邻木组成结构单元中参照树的优势越大n is number of near neighbor trees, if i-th tree is large than the j-th neighbor tree, vij=0, else, vij=1. The smaller the value of Ui,the greater of reference tree of structural units which consisting of n adjacent woods | |
Shannon-Wiener指数 Shannon-Wiener index ( | pi为第i个径阶林木株数占总林木株数的比例,S为径阶总数。H′越大,林木大小分化程度越高pi is the percentage of the number of trees of the i-th diameter class in the total number of trees, S is the number of diameter class.The larger the value of H′, the higher of trees size differentiation | |
Simpson多样性指数 Simpson diversity index ( | S为径阶总数,pi为第i个径阶林木株数占总林木株数的比例;D越大,林木大小分化程度越高S is the number of diameter class,pi is the percentage of the number of trees of the i-th diameter class in the total number of trees. The larger the value of D, the higher of trees size differentiation |
Table 4
Commonly used point process pattern function"
函数名称Function name | 函数形式Function | 说明Definition |
Ripley’K函数Ripley’Kfunction( | A为样地面积,n为林木个数,d为树i与树j间的距离,当dij < d时,δijd=1;当dij≥d时,δijd=0 A is area of plot, n is the total number of trees in plot, d is the distance between i and j, when dij < d, δijd=1;when dij≥d,δijd=0 | |
基Ripley’K函数于L-函数L-function based on Ripley’K function ( | K(r)为Ripley’K函数,r为树i与树j间的距离K(r) is Ripley’K function, r is the distance between i and j | |
双相关函数Pair correlation function | λ2为完全随机分布格局中发现被距离r分隔的2个点的概率;ρ(2)(x, y)dxdy为实际观察窗口中发现2个点的概率λ2 is the probability of finding two points separated by r in the complete random distribution pattern; ρ(2) (x, y)dxdy is probability of finding two points in actual observation window | |
O-ring统计O-ring statistics | Or=λg(r) | λ为圆环上点的概率密度,g(r)为双相关函数λ is probability of point on ring, g(r) is pair correlation function |
角尺度Uniform angle index ( | n为相邻木株数,如果相邻木与参照组成的角大于标准角,则vij=0;否则vij=1。分布格局可用图形、置信区间或显著性检验方法进行判断n is number of near neighbor trees, if the angle composition by adjacent and reference wood is greater than the standard angle, vij=0, else, vij=1. The distribution pattern can be judged by graph, confidence interval or significant test method |
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