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    基于油松树干液流的Granier原始公式适用性分析

    Analysis of the applicability of the original Granier formula for stem sap flow in Pinus tabuliformis

    • 摘要: 摘 要:为了验证Granier原始公式在油松树干液流测定中的适用性。本文以油松为研究对象,采用热扩散式探针法对树干液流进行监测,同步采用整树容器称重法进行耗水测定,系统验证Granier原始公式的模型精度与残差特征。基于称重法实测蒸腾速率与热扩散法温差系数K的回归建模,构建树种特异性校正公式。结果表明:Granier原始公式虽能反映液流速率日动态特征,但其计算值较称重法实测值系统性偏低69.1%,绝对误差达0.691 cm³·cm⁻²·s⁻¹,表明参数体系存在较大差异率,具有校正的必要性,经校正得到Granier校正公式为:Fd=0.0126K 0.6697(R2=0.7059),具有高度的准确可信性,误差率仅为-0.43%。在未来的热扩散式树干液流测定计算中,采用校正后的Granier公式,能够更精准地计算油松的液流速率,为精准评估森林蒸腾耗水提供方法支撑,对提升水土保持效益评估精度具有重要价值。

       

      Abstract: Abstract: Background Accurate measurement of tree transpiration is critical for understanding plant-water interactions and ecosystem water budgets. The Granier equation, widely used in thermal dissipation probe (TDP) systems, was developed for temperate conifers but exhibits significant errors when applied to other species.项目名称:河北省林业和草原局“三北工程区植被恢复关键技术创新写示范”(2025JBGS0001) 第一作者简介:白宇(2000—),男,硕士研究生。主要研究方向:植物蒸腾耗水和森林培育。E-mail:2567000898@qq.com †通讯作者简介:马长明(1980—),男,博士,副教授。主要研究方向:植物蒸腾耗水和森林培育。E-mail:machangming@126.com Pinus tabuliformis, a keystone species in northern China’s ecological restoration, lacks validation of TDP accuracy under field conditions. This study, conducted in Baoding, Hebei Province—a region characterized by a warm-temperate monsoon climate—aimed to evaluate and recalibrate the original Granier formula for P. tabuliformis to address systematic underestimation issues in sap flow measurements. Methods Three healthy P. tabuliformis trees were transplanted into controlled containers to minimize root damage. Sap flow was monitored using TDP sensors (AV-3665R) installed in the sapwood, while transpiration rates were simultaneously measured via a whole-tree weighing system (precision: 20 g). Data from July 11–15, 2023, were analyzed using regression modeling to correlate thermal dissipation coefficient (K) with gravimetric transpiration. The original Granier formula (Fd=0.0119K1.231) was recalibrated, and its accuracy was validated against weighing-derived values. Results The original Granier formula systematically underestimated sap flow density by 69.1% (absolute error: 0.691 cm³·cm⁻²·s⁻¹), with poor alignment to gravimetric data. A species-specific correction was derived: Fd=0.0126K0.6697. Validation using independent datasets (July 14–15) confirmed the corrected model’s superiority, reducing the mean error to -0.43% and achieving high consistency with weighing results. Diurnal sap flow patterns aligned across methods, peaking at 11:00–12:00. The recalibration addressed parameter discrepancies linked to P. tabuliformis’s xylem anatomy, resolving the original formula’s underestimation bias. Conclusions In future thermal dissipation-based sap flow measurements, the corrected Granier formula will enable more accurate estimation of P. tabuliformis sap flow rates. This advancement provides methodological support for precise evaluation of forest transpiration and holds significant value for improving the accuracy of soil and water conservation benefit assessments.

       

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