, Volume 52, Issue 1, pp 117–123 | Cite as

A modified nonrectangular hyperbola equation for photosynthetic light-response curves of leaves with different nitrogen status

  • J. Z. Xu
  • Y. M. Yu
  • S. Z. Peng
  • S. H. Yang
  • L. X. Liao
Original Paper


Chlorophyll index and leaf nitrogen status (SPAD value) was incorporated into the nonrectangular hyperbola (NRH) equation for photosynthetic light-response (PLR) curve to establish a modified NRH equation to overcome the parameter variation. Ten PLR curves measured on rice leaves with different SPAD values were collected from pot experiments with different nitrogen (N) dosages. The coefficients of initial slope of the PLR curve and the maximum net photosynthetic rate in NRH equation increased linearly with the increase of leaf SPAD. The modified NRH equation was established by multiplying a linear SPAD-based adjustment factor with the NRH equation. It was sufficient in describing the PLR curves with unified coefficients for rice leaf with different SPAD values. SPAD value, as the indicator of leaf N status, could be used for modification of NRH equation to overcome the shortcoming of large coefficient variations between individual leaves with different N status. The performance of the SPAD-modified NRH equation should be further validated by data collected from different kinds of plants growing under different environments.

Additional key words

leaf nitrogen modified nonrectangular hyperbola equation Oryza sativa photosynthetic light-response curve SPAD 



absolute error





N1, N2

the nitrogen fertilization rates, namely 300 (N1) and 200 (N2) kg(N) ha−1


net photosynthetic rate


maximum net photosynthetic rate


photosynthetic light response


photosynthetically photon flux density


dark respiration


root mean square error


initial slope of the PLR curve


parameter introduced by incorporating the SPAD-based factor into NRH equation


parameter of the convexity of the PLR curve


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Copyright information

© Springer Science+Business Media Dordrecht 2014

Authors and Affiliations

  • J. Z. Xu
    • 1
    • 2
  • Y. M. Yu
    • 2
  • S. Z. Peng
    • 1
  • S. H. Yang
    • 1
  • L. X. Liao
    • 2
  1. 1.State Key Laboratory of Hydrology-Water Resources and Hydraulic EngineeringHohai UniversityNanjingChina
  2. 2.College of Water Conservancy and Hydropower EngineeringHohai UniversityNanjingChina

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