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湖南省森林资源调查常用数表湖南省林业调查规划设计院湖南省林业厅资源林政处一九九九年六月一、说明1、基本情况本手册收集了湖南省主要用材树种:杉木、“三杉”、马尾松、国外松、杨树、阔叶树立木材积表、立木形高表、经济材材种出材率表。其中杉木、马尾松、阔叶树立木形高表和立木材积表是根据原林业部颁发的立木材积表(LY208-77)提供的立木材积公式(山本式)和相应的参数值编制的,“三杉”立木形高表、立木材积表是我省1991年编制的,国外松、杨树立木形高表、立木材积表和杉木、马尾松、杨树经济材材种出材率表是我省1995年以来陆续编制的。这些数表可供林业调查、材积表检验、编制一元立木材积表和森林经营使用。杉木、马尾松经济材材种出材率表和国外松、杨树材积表及经济材材种山材率表的编制是按中华人民共和国原林业部《林业专业调查主要技术规定》的要求,根据我省各树种的地域分布划分编表单元(杉木、马尾松分山区和丘陵区,国外松和杨树按引种分布区,其中:国外松主要是低山丘陵区,杨树主要是洞庭湖区)分别收集样本,采用现代建模技术,用数式法求解参数,分别建立各树种的材积模型和经济材材种出材率模型进行编表。通过拟合检验和实测标准地资料检验,系统偏差均在原部颁标准以内,编表精度较高。“三杉”、国外松和阔叶树经济材材种出材率表暂缺。2、各树种立木材积模型、形高模型和经济材材种出材率模型(1)立木材积模型①杉木、马尾松、阔叶树和杨树立木材积模型采用山本式:V=a×Db×Hc(a、b、c为参数,见下表)。杉木、马尾松、杨树和阔叶树立木材积模型参数值表参数树种abc杉木0.0000587770421.96998310.89646157马尾松0.0000623418031.85514970.95682492杨树0.0000410280051.80063031.13059897阔叶树0.0000504790551.9085054O.99076507②国外松采用可变参数材积式:V=Co×D(C1+c2×(D+10H))×H(C3+C4×(D+2.5H))参数值:Co=0.000086791543、C1=1.6638000575、C2=0.0094299757、C3=0.9693404868、C4=-O.0292030826③洞庭湖区“三杉”采用多项式:V=C0+C1×D2×H-C2×D3×H-C3×D2-C4×D2×H×Lg(D)参数值:C0=O.00579049505、C1=0.00006600324、C2=O.OO000046921C3=0.000183033917、C4=0.000003192879(2)形高模型各树种的形高模型用相应的材积模型导出,即:FH=12732.39545V/D2(3)材种出材率模型每一树种材种出材率模型由四个方程组成:削度方程、全树干材积方式。累积材长方程、削度-材积比方程。A.山区:①杉木削度方程:d/D=[(H-h)/(h-1.3)]^[C0+C1×Z+C2×Z^2+C3×(D+H)]全树干材积方程:V-写不出显式,区分求积。累积材长方程:Z=1-(1-1.3/H)×(d/D)^{1/[C0+C1×Z+C2×Z^2+C3×(D+H)]}削度-材积比方程:Rh-写不出显式,利用区分求积计算。②马尾松削度方程:d/D=C0×[(H-h)/(h-1.3)]^[C1+C2×Z+C3×Z^2+C4×Z^3+C5×Z^4+C6×Z^5+C7×(D/H)]全树干材积方程:V-写不出显式,区分求积计算。累积材长方程:Z=1-(1-1.3/H)×[d/(C1×D)]^{(1/[C0+C1×Z+C2×Z^2+C3×Z^3+C4×Z^4+C5×Z^5+C6×Z^6×(D/H)]}削度-材积比方程:Rh-写不出显式,利用区分求积计算B.丘陵区:杉木和马尾松采用同一组方程。削度方程:d/D=[(H-h)/(h-1.3)]^[C0+C1×Z+C2×Z^2+C3×D+C4×Ln(D)+C5×H^2]全树干材积方程:V-写不出显式,区分求积。累积材长方程:Z=1-(1-1.3/H)×(d/D)^[1/(C0+C1×Z+C2×Z^2+C3×D+C4×Ln(D)+C5×H^2]削度-材积比方程:Rh-写不出显式,利用区分求积计算。C.洞庭湖区:杨树削度方程:d/D=[(H--h)/(H-1.3)]C全树干材积方程:V=K×[H/(H-1.3)2×C×D2×H/(2×C+1)累积材长方程:h=H-(H-1.3)×(d/D)(1/C)削度-材积比方程:Rh=1-[(H-h)/H](2×C+1)式中:d-材长h的小头直径、V-全树干材积、D-胸高直径、H一全树高h-从伐根算起的任一规格材长度、Rh-经济材材积(Vh)、Z-相对树高削度方程组参数值表编制区域参数树种C0C1C2C3C4C5C6C7山区杉木带皮1.2297-2.491011.9606400.002912去皮1.2567-2.547152.0671090.002489马尾松带皮1.01271.806294-1.62306-10.620338.37803-44.204917.5124-0.29321去皮1.02171.673954-0.884995-10.950936.53634-41.021716.0267-0.42554丘陵区杉木带皮1.5537587-4.49859783.490304160.005942870.1367388-0.00056867959去皮1.5273358-4.59542623.608188640.006315350.16135265-0.00068163479马尾松带皮1.77029376-4.57881053.621791060.000595560.09489649-O.00013804713去皮1.86953139-4.02615423.36152037O.01131155-0.1187875-0.00008044205洞庭湖区杨树带皮0.8463210K=O.0000785398去皮0.85449693、立木形高表、材积表和经济材材种出材率表的适用范围(1)立木形高表、材积表的适用范围杉木、马尾松、阔叶树二元立木形高表和材积表适用于全省范围的相应林分;国外松二元立木形高表和材积表适用于全省范围内国外松引种分布区域的林分;“三杉”和杨树二元立木形高表、材积表适用于我省洞庭湖区“三杉”和杨树的带林或片林,其它区域应用此表时,需通过检验后使用。(2)单木二元经济材材种出材率表的适用范围杉木、马尾松分山区和丘陵区编制了相应的经济材材种出材率表,杨树材种出材率表与其材积表的适用范围是一致的。“湖南省主要用材树种经济材综合出材率表”只适用于省一级区域,各地、州、市应用此表时,需检验后使用。4、表中计量单位胸高直径(D):从地表起1.3米处的树干直径,单位是“厘米”。树高(H):树干的全高,单位是“米”。材积(V):树干材积,不包括枝杈材积,单位是“立方米”。形高值(FH):林木相应径阶树高与某一常数的积,单位是“米”。材种出材率:某树种、某种规格材材积与全树干材积的百分比,单位是“%”。5、二元立木形高表、材积表和经济材材种出材率表的使用(1)形高、材积表的使用在测得立木胸径(D)、树高(H)后,查表中相应的径阶中值(D)和树高(H)对应的材积(V)、形高值(FH),即为该立木的材积(V)、形高(FH)值;用查得的形高值乘以该径阶的胸高断面积,得相应径阶的立木蓄积量。(2)单木二元经济材材种出材率表的使用使用单木二元经济材材种出材率表查定单木和林分各径阶经济材材种出材率的方法与材积、形高表的使用方法相同。但查定整个林分经济材材种出材率时,需通过标准地调查才能最后确定。林分各材种经济材出材率(量)的确定见附录。二、湖南省杉木二元立木形高表三、湖南省洞庭湖区“三杉”二元立木形高表四、湖南省马尾松二元立木形高表五、湖南省国外松二元立木形高表六、湖南省洞庭湖区杨树二元立木形高表七、湖南省阔叶树二元立木形高表八、湖南省杉木二元立木材积表九、湖南省洞庭湖区“三杉”二元立木材积表十、湖南省马尾松二元立木材积表十一、湖南省国外松二元立木材积表十二、湖南省洞庭湖区杨树二元立木材积表十三、湖南省阔叶树二元立木材积表十四、湖南省山区杉木单木二元经济材材种出材率表径阶树高经济材出材率(%)大径中径小径短小合计6342.7242.726445.9245.926549.0649.066649.5449.546749.8249.826850.6150.616950.8350.838347.8847.888453.7753.778538.9816.2255.208638.3320.1758.508737.9622.0760.038838.8322.1761.008938.2023.7861.9881037.8125.9263.7381137.3226.8564.1710448.9348.9310551.8851.8810654.126.5660.6810754.867.3362.1910856.397.5963.9810956.158.4864.63101057.348.6165.95101158.418.7067.11101259.488.1467.62101359.299.2668.55101459.709.4469.1412555.3155.3112658.0958.0912759.4959.4912860.454.1364.5812961.973.7665.73121062.734.2066.93121164.023.8567.87121264.464.2268.68121365.643.8669.50121466.094.1870.27121566.764.2571.01121667.114.5371.6414659.4759.4714761.4561.4514863.2963.2914963.8363.83141065.222.4667.68141166.432.2768.70141266.782.6869.46141367.542.5370.07141468.442.3670.80141569.062.2571.31141669.372.7772.14141769.952.6172.56141870.482.5373.0116660.4060.4016762.4262.4216863.9563.9516965.3365.33161066.3566.35161167.3867.38161268.2468.24161368.571.7170.28161469.411.8071.21161569.991.7371.72161670.541.6772.21161771.131.6072.73161871.601.7173.31161972.111.6473.75162072.551.5974.1418762.9362.9318864.4964.4918965.7865.78181066.8866.88181167.8367.83181268.6268.62181369.3369.33181470.071.1971.26181570.661.1771.83181671.281.1472.42181771.731.2472.97181872.231.2173.44181972.661.1873.84182073.111.2774.38182173.481.2574.73182273.891.2275.1120966.1466.14201067.2467.24201168.1668.16201268.9868.98201369.6969.69201470.3670.36201571.1771.17201671.7571.75201772.210.8373.04201872.680.8273.50201973.150.8273.97202073.540.9074.44202173.900.9074.80202274.280.9775.25202374.640.9675.60202474.970.9575.9222966.1066.10221067.5167.51221168.4568.45221269.2369.23221369.9569.95221470.6070.60221571.3871.38221671.9571.95221772.4572.45221872.910.6973.60221973.310.6974.00222073.870.6174.48222174.250.6174.86222274.610.6975.30222374.930.6975.6222249.4665.810.6975.9622258.6466.910.7676.3124966.4366.43241067.4767.47241122.5645.8568.41241221.0748.3669.43241321.4448.7170.15241421.9148.9070.81241520.6350.7671.39241620.9351.1772.10241721.2051.4072.60241821.4551.6173.06241920.6452.850.5974.08242020.8253.2074.02242121.0053.370.5274.89242221.1653.570.5375.26242321.3953.700.5975.68242421.5853.930.4875.99242521.6654.140.5476.34242620.8755.240.5476.65261031.4736.2567.72261132.9735.6868.65261232.6136.8469.45261332.2038.1270.32261431.9938.9670.95261531.7439.8171.55261631.6340.4772.10261732.6840.0672.74261832.4240.7673.18261932.1941.4373.62262031.9742.1574.12262132.8241.680.4474.94262232.7442.120.4575.31262332.5242.690.5175.72262432.3043.330.4176.04262533.0542.880.4776.40262632.8643.340.4776.67262733.4643.110.3876.95281040.9726.7167.68281141.7026.9068.60281242.3627.2269.58281341.6128.7170.32281442.3028.6770.97281541.5330.1671.69281642.0430.1772.21281742.5930.1372.72281842.0631.2673.32281942.5131.2373.74282042.9131.210.4274.54282143.2331.3674.59282243.5931.370.3875.34282343.1032.190.3975.68282443.4532.250.3576.05282543.7232.280.3676.36282643.3432.960.4176.71282743.5933.050.3376.97282843.8533.060.3877.29301049.4718.5067.97301149.6919.3769.06301249.8320.0369.86301350.0320.7170.74301450.1421.2471.38301550.3021.6871.98301616.0934.3222.2272.63301715.2735.3222.5673.15301814.3436.3222.9273.58301913.4937.2623.3774.12302012.6939.0122.8374.53302112.0939.7123.2075.00302211.4040.4323.5075.33302310.8341.1023.770.3376.03302410.2341.7424.1276.09302515.2937.4323.680.3076.70302614.5838.1523.940.3176.98302713.9938.8024.250.2877.32302813.3439.4624.500.2977.59302912.7940.0524.710.3477.89303012.1841.2824.400.2878.14321123.4130.8215.2069.43321221.8633.5015.0170.37321320.4034.8515.8571.10321419.2037.0215.5471.76321518.1038.0116.3672.47321624.7331.2817.0073.01321723.4533.3516.8173.61321822.2734.3917.4074.06321921.2836.1217.1074.50322020.2437.0217.7374.99322119.3738.5417.4675.37322224.2633.5218.0275.80322323.2935.0717.7876.14322422.3635.8718.230.2976.75322521.5037.2618.0776.83322620.6937.9518.480.2777.39322724.7134.4318.260.2877.68322823.8935.1418.710.2577.99322923.0736.4118.510.2678.25323022.2837.0718.940.2478.53323121.5538.2318.750.2878.81323224.9434.7219.100.2879.04341133.7724.5611.4369.76341231.6927.4711.5470.70341329.9429.0112.4871.43341428.2331.4312.5372.19341526.8933.4812.4372.80341632.4627.6513.3273.43341730.9629.7413.2373.93341829.6231.6313.1574.40341928.3433.4113.1674.91342032.9028.6213.7975.31342131.6130.3713.7975.77342230.5031.9313.6976.12342329.3833.4613.7076.54342433.1929.4314.2476.86342532.0930.9214.170.2577.43342631.0932.2814.1577.52342730.1133.6114.080.2478.04342833.3830.1214.6278.12342932.4131.4214.550.2278.60343031.4732.6714.490.2678.89343130.6233.3414.960.2179.13343233.4930.7514.900.2579.39343332.5731.9414.850.2679.62343431.7233.0614.840.2479.86361240.4821.109.3970.97361338.4023.829.5971.81361436.4326.349.7172.48361534.7028.599.7973.08361639.5724.199.9573.71361737.8726.3210.0474.23361836.4127.5110.8574.77361940.4323.8810.8975.20362038.9325.7511.0075.68362137.5927.4511.0276.06362241.0824.2911.1276.49362339.7825.9011.1476.82362438.5027.4811.2477.22362541.6024.6511.2777.52362640.3926.1311.290.2278.03362739.2327.5411.3878.15362842.0324.9911.400.2178.63362940.9026.3511.4878.73363039.8427.1811.960.2079.18363142.3624.8711.970.2379.43363241.3226.1312.030.1979.67363340.3327.3312.040.2279.92363442.6325.2212.110.1880.14363541.6626.3912.120.2180.38381541.9323.268.2273.41381646.1119.508.3773.98381744.2521.708.6074.55381847.8518.458.7275.02381946.1720.458.9075.52382044.5722.359.0275.94382147.7419.479.1876.39382246.2321.249.2876.75382349.0619.188.9077.14382447.6420.829.0177.47382546.2922.389.1077.77382648.8320.049.2578.12382747.5621.519.330.2078.60382846.3622.919.4678.73382948.6920.759.540.1979.17383047.5022.119.6679.27383149.6820.119.730.1879.70383248.5421.399.800.2179.94383347.4722.639.910.1780.18383449.4920.779.960.2080.42383548.4221.9710.070.1780.63401548.5718.366.7173.64401652.0515.217.0174.27401750.1617.427.2074.78401853.2514.627.4475.31401951.5217.197.0575.76402054.2414.707.2976.23402152.6316.547.4476.61402251.0918.307.5976.98402353.5816.017.7977.38402452.1218.127.4677.70402554.4016.017.6578.06402653.0517.547.7778.36402755.1515.607.9478.69402853.8617.058.060.1779.14402955.7815.268.2179.25403054.5517.027.940.1779.68403153.3518.348.0979.78403255.2016.638.190.1680.18403354.0417.908.330.1580.42403455.7616.308.420.1680.64403554.6917.508.510.1880.88421755.5713.485.9374.98421858.1711.136.2275.52421956.4013.645.9275.96422054.7215.556.1776.44422157.1213.336.3676.81422255.5615.096.5977.24422357.8013.486.3177.59422456.3015.126.5377.95422558.3413.256.6978.28422656.9515.176.4978.61422758.8613.416.6378.90422857.541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54.7854.788546.7446.748645.7510.7856.538747.1511.2258.378846.5113.3559.868947.0013.4460.4481047.9513.6461.5910552.1552.1510654.8354.8310755.1655.1610856.6956.6910957.114.8061.91101058.484.9363.41101159.464.5964.05101260.294.3364.62101360.844.5165.35101461.374.3365.7012656.5956.5912758.4858.4812859.8759.8712960.9260.92121061.073.0564.12121161.922.8964.81121263.3063.30121363.792.3666.15121464.232.3266.5514759.9559.9514861.0761.0714962.0862.08141063.0763.07141163.7363.73141264.3264.32141364.851.8466.69141465.8565.85141566.211.6067.8116760.2460.2416861.4361.4316963.0763.07161063.8463.84161164.6364.63161265.1765.17161365.7465.74161466.6166.61161566.9666.96161667.6567.6518862.3262.3218963.3563.35181064.1764.17181164.9164.91181265.9265.92181366.4166.41181467.1867.18181567.6067.60181668.2368.23181768.5268.52181869.0669.0620963.9263.92201064.7864.78201165.5065.50201266.1466.14201366.9966.99201467.4567.45201568.0968.09201668.4968.49201769.0469.04201869.5269.52201969.9569.9522964.1164.11221065.0065.00221165.7665.76221256.6356.63221367.1867.18221467.8967.89221568.3368.33221668.9268.92221769.3069.30221869.7669.76221970.2070.20222070.6170.61241026.6838.5165.19241126.1839.9866.16241224.0042.8166.81241323.7043.7067.40241423.4344.6768.10241521.6546.9168.56241621.4347.6969.12241721.1448.4969.63241820.8549.2770.12241920.5349.8970.42242020.1550.6770.82242119.7651.4471.20261033.7031.8265.52261132.8433.4766.31261233.6433.3466.98261332.7734.9667.73261431.9536.2868.23261531.2137.6768.88261631.6937.6169.30261730.9038.9069.80261831.1839.1170.29261931.3639.3670.72262031.4539.6871.13262132.3239.1971.51281041.7123.9465.65281141.9724.4766.44281240.7026.4067.10281340.8826.9967.87281440.9827.4368.41281541.0028.0269.02281640.9628.6269.58281741.8628.1069.96281842.6127.8470.45281944.1226.7770.89282046.2625.0471.30282148.1023.5871.68282251.2420.7972.03301049.4219.2868.70301149.3020.1769.47301222.0528.4519.8170.31301320.1230.1220.6670.90301418.3731.5621.6171.54301516.8233.9021.3072.02301615.3935.9521.2272.56301714.1238.6920.2473.05301812.9641.1119.3673.43301911.8343.2418.7573.82302010.8645.9217.4574.23302115.9342.3216.3774.62302214.7645.4714.7474.97321125.5628.8915.5069.95321223.4131.9115.4470.76321321.4334.5815.3571.36321419.6736.9015.4372.00321526.3830.6515.4672.49321624.5532.8315.6673.04321722.8935.6415.0173.54321821.3138.1614.4273.89321919.8640.4214.0474.32322024.3737.3313.0274.72322122.8240.1012.1775.09322221.3342.6411.4775.44322319.9345.5510.2775.75341136.7521.1112.6670.52341234.1424.4012.6671.20341331.7527.3312.7171.79341429.5929.9312.9072.42341527.6033.1912.1472.93341632.8728.1412.4673.47341730.8831.0911.9973.96341829.0133.7611.6474.41341927.2336.2111.3074.74342031.1133.5910.4575.15342129.3136.479.7575.53342232.3934.319.1775.87342330.5436.978.7576.26361235.2426.1810.1371.55361340.8421.0110.4172.26361438.3923.8110.6172.81361536.1227.1910.0973.40361640.4623.789.6073.84361738.2426.0710.0374.34361836.1428.899.7774.80361939.5826.718.9275.21362037.4929.278.7775.53362140.3027.448.1675.90362242.6725.917.6776.25362344.7324.607.3176.64362446.4623.506.9976.95381244.4918.608.8171.90381341.8622.478.2672.59381446.3118.308.5573.16381543.8521.738.1773.75381641.5124.188.5174.20381745.0821.368.2674.70381842.8224.258.0775.14381945.7721.847.9575.56382048.2820.357.2675.89382150.4319.096.7576.27382252.2718.016.3276.60382353.8617.106.0376.99382455.2316.315.7677.30401349.8315.937.1572.91401447.2518.767.4673.47401550.8416.057.1474.03401648.4019.276.8474.51401751.4116.307.2975.00401849.0419.856.5675.45401951.5717.806.5075.87402053.7316.046.4876.25402155.5915.025.9676.57402257.1914.155.6376.97402358.5813.405.3277.30402459.7612.775.0877.61402560.7812.244.8977.91十六、湖南省山区马尾松单木二元经济材材种出材率表径阶树高经济材出材率(%)大径中径小径短小合计6329.7829.786434.6034.606536.0336.036637.3137.316737.3837.386837.2637.266937.0337.0361036.8636.868329.2329.238432.1612.6344.798532.4415.7648.208631.4618.5349.998730.2520.9951.248829.0522.0251.078929.9721.9051.8781029.0924.4153.5081128.2326.1154.3481229.0825.7154.7910444.0544.0510544.507.1351.6310647.327.3154.6310748.087.8755.9510848.098.9257.0110949.319.0658.37101049.1710.3659.53101149.949.9359.87101249.7811.0460.82101350.7410.4661.20101450.5111.4761.98101551.0911.4562.5412552.7952.7912653.9253.9212755.282.7057.9812855.334.0959.4212956.783.8460.62121056.455.0161.46121157.384.8462.22121257.835.1863.01121358.105.4863.58121458.615.7664.37121558.936.0164.94121659.575.9765.5414656.5656.5614758.2658.2614859.3159.3114960.3760.37141060.8160.81141161.781.7263.50141262.042.1064.14141362.962.0364.99141463.442.1965.63141563.692.5066.19141664.372.4266.79141764.452.9167.36141864.992.8267.8116657.1357.1316759.3759.3716860.7660.7616962.0662.06161062.9162.91161163.5463.54161264.1064.10161364.8164.81161465.3665.36161565.9765.97161666.491.1567.64161767.001.1568.15161867.451.2968.74161967.871.2769.14162068.211.4169.6218759.7259.7218861.5061.5018962.7662.76181063.7263.72181164.5764.57181265.4965.49181366.1366.13181466.6266.62181567.2467.24181667.6767.67181768.1368.13181868.6068.60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