Granier原始公式测算107杨树干液流通量密度的误差及校正公式

doi:10.11707/j.1001-7488.20210317

摘要/Abstract

摘要：

目的: 验证Granier原始公式对测算107速生杨树干液流通量密度时的适用性，为精准计算林木蒸腾量提供依据。方法: 以107速生杨为对象，基于热扩散树干液流测定技术，采用离体茎段式称重法和整树容器称重法实测液流通量密度，以验证Granier原始公式的适用性，并通过建立实测液流通量密度与热扩散法测定的树干液流温差系数（K值）的统计关系，形成校正公式。结果: 和整树容器称重法和室内茎段称重法的实测值相比，Granier原始公式计算的液流通量密度存在严重低估，误差率分别达-71.5%和-74.3%。基于整树容器称重法和室内茎段称重法的实测值而建立的校正公式分别为F_d（液流通量密度，cm³·cm^-2 s^-1）=0.010 8K^{0.566 6}（R²=0.812 6）和F_d=0.019 17K^{0.952 8}（R²=0.940 3）。经6月23日、24日数据验证，在以林木自然生长条件下的野外整树容器称重法实测值为基准时，Granier原始公式的计算值低估68.90%，而整树容器称重法拟合的校正公式计算值仅低估2.95%，离体茎段称重法拟合的校正公式计算值低估15.75%。结论: Granier原始公式在计算107速生杨树干液流通量密度值时存在严重低估，会造成很大误差，但校正公式可反映液流通量密度与K值的关系，能准确表达出真实的液流量。因此，采用基于整树容器称重法校正的Granier公式所计算的107速生杨树干液流通量密度具有较高精度。

关键词: 热扩散, 107杨, 离体茎段称重法, 整树容器称重法, 校正公式

Abstract:

Objective: This study aimed to verify the applicability of the original Granier formula to calculate the liquid flux density of 107 fast-growing poplar trunks, in order to provide a basis for accurate calculation of tree transpiration. Method: In order to verify the applicability of the original formula of Granier, 107 poplar was taken as the test object, and the liquid flux density was actually measured by in vitro stem segment weighing method and whole-tree container weighing method on the basis of thermal diffusion trunk flow measurement technology. By establishing the statistical relation between the measured liquid flux density and the temperature difference Coefficient (K value) measured by the thermal diffusion method, the correction formula is finally formed. Result: Compared with the actual measurement values of the whole tree container weighing method and the indoor stem weighing method, the fluid flux density calculated by Granier's original formula is seriously underestimated, with error rates of -71.5% and -74.3%, respectively. The correction formulas established based on the real measurement values of the whole tree container weighing method and the indoor stem weighing method are F_d (fluid flux density, cm³·cm^-2 s^-1)=0.010 8K^{0.566 6}(R²=0.812 6) and F_d=0.019 17K^{0.952 8} (R²=0.940 3). According to the data collected on June 23 and 24, compare with the measured value of the whole tree container weighing method in the field under the natural condition, the value of Granier's original formula underestimates by 68.90%, while the whole-tree container weighing method underestimated only 2.95%, and the in vitro stem segment weighing method underestimated by 15.75%. Conclusion: Granier's original formula seriously under estimates the sap flow density of 107 poplar stems, which would cause great error. However, the corrected formula can reflect the relationship between the density of the liquid flux and the K value, and can accurately express the true liquid flow. Therefore, the liquid flux density of 107 poplar stem calculated by the Granier formula corrected based on the whole-tree container weighing method has higher accuracy.

Key words: thermal dissipation method, 107 poplar, weighing method of isolated stem, weighing method of whole-tree, Correction formula

中图分类号:

S715.4

马长明,张含含,韩煜,孟庆星,张劲松,马玉洁. Granier原始公式测算107杨树干液流通量密度的误差及校正公式[J]. 林业科学, 2021, 57(3): 161-169.

Changming Ma,Hanhan Zhang,Yu Han,Qingxing Meng,Jinsong Zhang,Yujie Ma. Error and Correction Formula of Granier's Original Formula to Calculate the Stem Sap Flux Density of Clone 107 Poplar[J]. Scientia Silvae Sinicae, 2021, 57(3): 161-169.

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编号 Number	树高 Height/m	胸径 DBH/cm	冠幅 Crown width/cm
1	6.0	9.35	175×210
2	5.4	8.67	150×190
3	6.2	9.62	170×200

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