新安江上游流域径流变化特征与归因分析

黄蓉, 张建梅, 林依雪, 卜添荟, 王鑫, 薛紫月, 李艳忠, 马燮铫, 于志国, 白鹏

Variation of streamflow and its drivers in Xin'an River Basin

HUANG Rong, ZHANG Jian-mei, LIN Yi-xue, BU Tian-hui, WANG Xin, XUE Zi-yue, LI Yan-zhong, MA Xie-yao, YU Zhi-guo, BAI Peng

表1 径流对三个变量的偏微分形式

Table 1 Detailed formulation of the partial differential items for the three factors

偏微分项	公式
$\frac{\partial Q}{\partial P}$	$\frac{E T_{0} ∙ P ∙ P^{n - 1}}{(E {T_{0}}^{n} + P^{n})^{\frac{1}{n} + 1}} - \frac{E T_{0}}{(E {T_{0}}^{n} + P^{n})^{\frac{1}{n}}} + 1$
$\frac{\partial Q}{\partial E T_{0}}$	$\frac{E T_{0} ∙ E {T_{0}}^{n - 1} ∙ P}{(E {T_{0}}^{n} + P^{n})^{\frac{1}{n} + 1}} - \frac{P}{(E {T_{0}}^{n} + P^{n})^{\frac{1}{n}}}$
$\frac{\partial Q}{\partial n}$	$- E T_{0} ∙ P ∙ [\frac{\log (E {T_{0}}^{n} + P^{n})}{n^{2} ∙ (E {T_{0}}^{n} + P^{n})^{\frac{1}{n}}} - \frac{E {T_{0}}^{n} ∙ \log (E T_{0}) + P^{n} ∙ \log (P)}{n ∙ (E {T_{0}}^{n} + P^{n})^{\frac{1}{n} + 1}}]$