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Journal of Arid Land  2019, Vol. 11 Issue (5): 764-773    DOI: 10.1007/s40333-019-0003-z
Orginal Article     
Modified non-rectangular hyperbola equation with plant height for photosynthetic light-response curves of Potentilla anserina and Elymus nutans at various growth phases in the Heihe River Basin, Northwest China
Junjie LIU1, Xiaoping WANG2, Zhanlei RONG1, Yunfei GAO1, Guangde ZHANG1, Wenbin WANG1, Lijuan GE1, Yahua MAO1, Zhaoxia GUO1, Qingtao WANG3, Chuanyan ZHAO1,*()
1 State Key Laboratory of Grassland Agro-ecosystems, School of Life Sciences, Lanzhou University, Lanzhou 730000, China
2 Institute of Arid Meteorology, China Meteorological Administration, Lanzhou 730020, China
3 College of landscape and Ecological Engineering, Hebei University of Engineering, Handan 056000, China
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The non-rectangular hyperbola (NRH) equation is the most popular method that plots the photosynthetic light-response (PLR) curve and helps to identify plant photosynthetic capability. However, the PLR curve can't be plotted well by the NRH equation at different plant growth phases due to the variations of plant development. Recently, plant physiological parameters have been considered into the NRH equation to establish the modified NRH equation, but plant height (H), an important parameter in plant growth phases, is not taken into account. In this study, H was incorporated into the NRH equation to establish the modified NRH equation, which could be used to estimate photosynthetic capability of herbage at different growth phases. To explore photosynthetic capability of herbage, we selected the dominant herbage species Potentilla anserina L. and Elymus nutans Griseb. in the Heihe River as the research materials. Totally, twenty-four PLR curves and H at different growth phases were measured during the growing season in 2016. Results showed that the maximum net photosynthetic rate and the initial slope of PLR curve linearly increased with H. The modified NRH equation, which is established by introducing H and an H-based adjustment factor into the NRH equation, described better the PLR curves of P. anserina and E. nutans than the original ones. The results may provide an effective method to estimate the net primary productivity of grasslands in the study area.

Key wordsplant height      modified non-rectangular hyperbola equation      Potentilla anserina      Elymus nutans      photosynthetic light-response curve      Qilian Mountains     
Received: 31 January 2018      Published: 10 October 2019
Corresponding Authors: Chuanyan ZHAO     E-mail:
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The first and second authors contributed equally to this work.

Cite this article:

Junjie LIU, Xiaoping WANG, Zhanlei RONG, Yunfei GAO, Guangde ZHANG, Wenbin WANG, Lijuan GE, Yahua MAO, Zhaoxia GUO, Qingtao WANG, Chuanyan ZHAO. Modified non-rectangular hyperbola equation with plant height for photosynthetic light-response curves of Potentilla anserina and Elymus nutans at various growth phases in the Heihe River Basin, Northwest China. Journal of Arid Land, 2019, 11(5): 764-773.

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