CN104094814B - A kind of rare and endangered tree species individual survival calculation of pressure method - Google Patents

Abstract

The invention discloses a kind of rare and endangered tree species individual survival calculation of pressure method, comprise five steps altogether.By calculating individual plant survival pressure indices P I _ij, the survival pressure size from the wooden plant of each competition that rare and endangered tree species individuality bears can be specified, for the strain removing of determining competing wood individual provides foundation.By calculating seeds survival pressure indices P I _it, can which competing species of quantitative response comparatively large to the survival pressure that causes of rare and endangered tree species individuality, for the priority control of competing species provides foundation; By calculating survival pressure indices P I _i, can the survival pressure size of quantitative response every strain rare and endangered tree species individuality, for which rare and endangered tree species individual need preferentially save and foundation is provided.

Description

A kind of rare and endangered tree species individual survival calculation of pressure method

Technical field

The present invention relates to conservation of nature field, particularly relate to a kind of rare and endangered tree species individual survival calculation of pressure method.Be applied to the protection of rare and endangered tree species, for the quantification of rare and endangered tree species individual survival pressure provides available instrument.

Background technology

China's floristics enriches, but has at least 4000-5000 Plants to be in imminent danger or compromised state, accounts for the 15%-20% of plant total.The individual survival pressure in plant community of research rare and endangered tree species, for protection and the rescue important in inhibiting of rare and endangered tree species.

At present, the distance dependent according to whether and between individual plants is divided into two class competitive models: do not consider the competitive model of distance and consider the competitive model of distance.Do not consider that the competitive model of distance only measures correlation density and relative size, concrete measurement is not done to individual plants position.Because rare and endangered tree species plant mainly affects by contiguous plant, affect less by plant far away, do not consider that the competitive model of distance often can not objectively respond competition size.Consider the competitive model of distance mainly contain the mono-wooden competitive model of Hegyi (Hegyi, 1974) and Zhang Yuexi improvement after Neighborhood interference model (Zhang Yuexi, 1993).But above 2 kinds of models only consider the relative size within the scope of certain distance with competitive effect plant and the rare and endangered tree species plant diameter of a cross-section of a tree trunk 1.3 meters above the ground, have ignored other factors of enumeration, as the height of tree, hat width etc.But in plant community, the contention of plant to living environment and space resources is often depended in the competition between individual plants, especially shows the competition to light resources and water resource.When water resource does not become limiting factor, the plant height of tree is higher, the larger competitiveness to light resources of hat width is stronger, thus also larger to the influence degree of other plant.Between the different tree species that the diameter of a cross-section of a tree trunk 1.3 meters above the ground is equal often there is very big-difference in the height of tree of individual plants and hat width size, moreover tree crown size is identical and survival pressure that individual plants that is that be in different azimuth causes rare and endangered tree species individuality is also different.This is all insurmountable problem of competitive model of above 2 kinds of consideration distances.

Summary of the invention

For deficiency of the prior art, the object of the present invention is to provide a kind of rare and endangered tree species individual survival calculation of pressure method, the individual survival pressure size in plant community of rare and endangered tree species can be reflected objective, quantitatively.

For achieving the above object, the present invention takes following technical scheme, and described method comprises the following steps:

(1) step 1: the determination of competition wood: when the individual plants height of tree (H) of certain seeds is more than or equal to itself and rare and endangered tree species individual distance (L), determines that this plant is for competition wood.

(2) step 2: calculate the individual tree crown size wooden with competition of rare and endangered tree species.Tree crown size calculates according to following formula:

$V=\frac{1}{4}\mathrm{\πab}(H-h)$ ①

In formula,

V is the tree crown size that rare and endangered tree species is individual or competition is wooden, and unit is m ³.Here cylindroid is seen as, by cylindroid volume quantization tree crown size approximate for tree crown;

π is pi, value 3.14;

A is the north and south length of tree crown upright projection, and unit is m;

B is the thing length of tree crown upright projection, and unit is m;

H is the height of tree, and unit is m;

H is clear bole height, and unit is m.

(3) step 3: calculate the individual plant survival pressure index (PI from a certain strain competition wood that rare and endangered tree species individuality bears _ij):

${\mathrm{PI}}_{\mathrm{ij}}=\frac{V_{\mathrm{ij}}}{V_i}\·W_{\mathrm{ij}}\·(1-\frac{L_{\mathrm{ij}}}{H_{\mathrm{ij}}})\·\frac{H_{\mathrm{ij}}}{H_i}$

Or ${\mathrm{PI}}_{\mathrm{ij}}=\frac{V_{\mathrm{ij}}}{V_i}\·W_{\mathrm{ij}}\·\frac{H_{\mathrm{ij}}-L_{\mathrm{ij}}}{H_i}$ ②

Wherein,

$W_{\mathrm{ij}}=\frac{1}{2}(\sin \mathrm{\α}+1)$ ③

In formula,

PI _ijfor individual plant survival pressure index, namely rare and endangered tree species i-th strain individuality bears the survival pressure of jth strain competition wood, PI _ij>=0; As competition wood and the distance L of rare and endangered tree species individuality _ijequal its height of tree H _ijtime, the uncontested effect of this competition wood, PI _ijfor minimum of a value 0; When competition wood with rare and endangered tree species individual distance nearer, tree crown is larger, residing orientation more close to rare and endangered tree species individuality Due South to time, PI _ijlarger.Work as PI _ijwhen=1, think that the survival pressure that rare and endangered tree species i-th strain individuality bears jth strain competition wooden is larger;

V _ijfor the tree crown size of jth strain competition wood, unit is m ³;

V _ifor the tree crown size of rare and endangered tree species i-th strain individuality, unit is m ³;

W _ijfor light competition factor.Consider that the competition wood being in different azimuth is different to the individual light resources degree of contention of rare and endangered tree species, adopt SIN function to calculate light competition factor; α is the azimuth of the relative rare and endangered tree species i-th strain individuality of jth strain competition wood, namely centered by rare and endangered tree species i-th strain individuality, turn clockwise by direction, due east, the angle in competition wood and the individual place straight line of rare and endangered tree species and direction, due east, if due east is 0 °, due south is 90 °, and positive west is 180 °, and positive north is 270 °;

H _ijfor the height of tree of jth strain competition wood, unit is m;

L _ijfor jth strain competition wood and the distance of rare and endangered tree species i-th strain individuality, unit is m;

H _ifor the height of tree of rare and endangered tree species i-th strain individuality, unit is m.

(4) step 4: calculate the survival pressure index (PI from certain competing species (t) that rare and endangered tree species individuality bears _it):

${\mathrm{PI}}_{\mathrm{it}}=\underset{j=1}{\overset{m}{\mathrm{\Σ}}}{\mathrm{PI}}_{\mathrm{ij}}$ ④

In formula,

PI _itfor seeds survival pressure index, i.e. the individual survival pressure from competing species t of bearing of rare and endangered tree species i-th strain;

PI _ijfor individual plant survival pressure index, what namely rare and endangered tree species i-th strain individuality bore competes wooden individual plant survival pressure from jth strain in competing species t;

M is the strain number of the competition wood of competing species t.

(5) step 5: calculate the survival pressure indices P I from all competing specieses that rare and endangered tree species individuality bears _i:

${\mathrm{PI}}_i=\underset{t=1}{\overset{n}{\mathrm{\Σ}}}{\mathrm{PI}}_{\mathrm{it}}$ ⑤

PI _ipressure index for survival, the i.e. individual survival pressure from all competing specieses of bearing of rare and endangered tree species i-th strain;

PI _itfor seeds survival pressure index, i.e. the individual survival pressure from competing species t of bearing of rare and endangered tree species i-th strain;

N is competing species sum.

Beneficial effect

(1) by calculating individual plant survival pressure index (PI _ij), the survival pressure size from the wooden plant of each competition that rare and endangered tree species individuality bears can be specified, for the strain removing of determining competing wood individual provides foundation.

(2) by calculating seeds survival pressure indices P I _it, can which competing species of quantitative response comparatively large to the survival pressure that causes of rare and endangered tree species individuality, for the priority control of competing species provides foundation;

(3) by calculating survival pressure indices P I _i, can the survival pressure size of quantitative response every strain rare and endangered tree species individuality, for which rare and endangered tree species individual need preferentially save and foundation is provided.

Embodiment

Embodiment 1

For 2 strains of rare and endangered tree species changpai scotch pine in Changbai mountain, Jilin Nature Reserve individual (individual A: diameter of a cross-section of a tree trunk 1.3 meters above the ground 33.5cm, the height of tree: 20.0m, clear bole height 17.0m; Individual B: diameter of a cross-section of a tree trunk 1.3 meters above the ground 69.0cm, height of tree 23.0m, clear bole height: 19.0m).Provide a kind of rare and endangered tree species individual survival calculation of pressure method, described method comprises the following steps:

(1) step 1: the determination of competition wood.When certain seeds individual plants height of tree (H) is more than or equal to itself and changpai scotch pine individual distance (L), determine that this plant is for competition wood.The competition wood of individual A comprises 9 kind of 44 strain, and the competition wood of individual B comprises 10 kind of 32 strain (table 1 and 2).

(2) step 2: according to formula 1., calculates the tree crown size (V) of individual A, the individual B of changpai scotch pine and all competition wood.The tree crown size of the individual A of changpai scotch pine:

$V=\frac{1}{4}\mathrm{\πab}(H-h)=\frac{1}{4}\×3.14\×3\×4(20-17)=28.26m^3,$

The tree crown size of individual B:

$V=\frac{1}{4}\mathrm{\πab}(H-h)=\frac{1}{4}\×3.14\×5\×6(23-19)=94.20m^3,$

The tree crown size of competition wood sees attached list 1 and 2.

(3) step 3: according to formula 2., calculates individual plant survival pressure index (PI _ij), see attached list 1 and 2.Result of calculation shows: the individual individual plant survival pressure index (PI for the individual A of changpai scotch pine of the 3 strain Korean pines of numbering C21, C24, C25 larix olgensis that is individual and numbering C29 _ij) comparatively large, be respectively 1.029,2.784,3.323 and 1.267.It is all less that what the individual B of changpai scotch pine bore compete wooden competitive pressure from other, individual plant competitive pressure index (PI _ij) be all no more than 1;

(4) step 4: according to formula 4., calculates the competitive pressure index (PI of certain competing species (t) _it), see attached list 1 and 2.Result of calculation shows: Korean pine is to the seeds competitive pressure index (PI of the individual A of changpai scotch pine _it) reach 8.754, produce strong survival pressure to changpai scotch pine individuality, in addition, the survival pressure that the plant of larix olgensis and fish scale dragon spruce is caused is also larger.For the individual B of changpai scotch pine, due to all competing species survival pressure index (PI _it) being all no more than 1, the individual B survival pressure of changpai scotch pine is more weak, and other seeds do not produce threat to it.

(5) step 5: according to formula 5., calculates the survival pressure index (PI of the individual A and individual B of changpai scotch pine _i):

PI _A＝0.483+8.754+0.001+1.886+0.006+0.088+1.878+0.626+0.093＝13.815；PI _B＝0.023+0.047+0.138+0.269+0.329+0.847+0.045+0.015+0.274+0.006＝1.987。

Above-mentioned result of calculation shows, the individual A of changpai scotch pine needs preferential rescue relative to individual B, because the survival pressure index reached 13.815 of individual A, competing species is Korean pine, larix olgensis and fish scale dragon spruce mainly, especially Korean pine has produced strong survival pressure to the individual A of changpai scotch pine, manual intervention measure need be taked for alleviating survival pressure, the individuality such as Korean pine, larix olgensis that the individual A of changpai scotch pine produces survival pressure larger is pruned or cut process selectively.

The survival pressure table of the individual A of table 1. changpai scotch pine

The survival pressure table of the individual B of table 2. changpai scotch pine

Last it is noted that obviously, above-described embodiment is only for the application's example is clearly described, and the restriction not to embodiment.For those of ordinary skill in the field, can also make other changes in different forms on the basis of the above description.Here exhaustive without the need to also giving all embodiments.And thus the apparent change of amplifying out or variation be still among the protection domain of the application's type.

Claims (1)

1. a rare and endangered tree species individual survival calculation of pressure method, is characterized in that: described method comprises the following steps:

(1) step 1: the determination of competition wood: when the individual plants height of tree of certain seeds and H are more than or equal to it with rare and endangered tree species individual distance and L, determine this plant for competition wooden;

(2) step 2: calculate the individual tree crown size wooden with competition of rare and endangered tree species, tree crown size calculates according to following formula:

①

In formula,

V is the tree crown size that rare and endangered tree species is individual or competition is wooden, and unit is m ³, see cylindroid as, by cylindroid volume quantization tree crown size approximate for tree crown here;

π is pi, value 3.14;

A is the north and south length of tree crown upright projection, and unit is m;

B is the thing length of tree crown upright projection, and unit is m;

H is the height of tree, and unit is m;

H is clear bole height, and unit is m;

(3) step 3: calculate the individual plant survival pressure indices P I from a certain strain competition wood that rare and endangered tree species individuality bears _ij:

In formula,

PI _ijfor individual plant survival pressure index, namely rare and endangered tree species i-th strain individuality bears the survival pressure of jth strain competition wood, PI _ij>=0; As competition wood and the distance L of rare and endangered tree species individuality _ijequal its height of tree H _ijtime, the uncontested effect of this competition wood, PI _ijfor minimum of a value 0; When competition wood with rare and endangered tree species individual distance nearer, tree crown is larger, residing orientation more close to rare and endangered tree species individuality Due South to time, PI _ijlarger, work as PI _ijwhen=1, think that the survival pressure that rare and endangered tree species i-th strain individuality bears jth strain competition wooden is larger;

V _ijfor the tree crown size of jth strain competition wood, unit is m ³;

V _ifor the tree crown size of rare and endangered tree species i-th strain individuality, unit is m ³;

W _ijfor light competition factor, consider that the competition wood being in different azimuth is different to the individual light resources degree of contention of rare and endangered tree species, adopt SIN function to calculate light competition factor; α is the azimuth of the relative rare and endangered tree species i-th strain individuality of jth strain competition wood, namely centered by rare and endangered tree species i-th strain individuality, turn clockwise by direction, due east, the angle in competition wood and the individual place straight line of rare and endangered tree species and direction, due east, if due east is 0 °, due south is 90 °, and positive west is 180 °, and positive north is 270 °;

H _ijfor the height of tree of jth strain competition wood, unit is m;

L _ijfor jth strain competition wood and the distance of rare and endangered tree species i-th strain individuality, unit is m;

H _ifor the height of tree of rare and endangered tree species i-th strain individuality, unit is m;

(4) step 4: calculate the survival pressure index (PI from certain competing species and t that rare and endangered tree species individuality bears _it):

④

In formula,

PI _itfor seeds survival pressure index, i.e. the individual survival pressure from competing species t of bearing of rare and endangered tree species i-th strain;

PI _ijfor individual plant survival pressure index, namely rare and endangered tree species i-th strain individuality bears the survival pressure of jth strain competition wood;

M is the strain number of the competition wood of competing species t;

(5) step 5: calculate the survival pressure index (PI from all competing specieses that rare and endangered tree species individuality bears _i):

⑤

PI _ipressure index for survival, the i.e. individual survival pressure from all competing specieses of bearing of rare and endangered tree species i-th strain;

PI _itfor seeds survival pressure index, i.e. the individual survival pressure from competing species t of bearing of rare and endangered tree species i-th strain;

N is competing species sum.