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Using double logistic equation to describe the growth of winter rapeseed

  • A. Shabani (a1), A. R. Sepaskhah (a2) (a3), A. A. Kamgar-Haghighi (a2) (a3) and T. Honar (a2) (a3)

Abstract

There are many parameters in agriculture that change over time in a sigmoid pattern. In the current study, the double logistic function was used to describe and simulate dry matter (DM) variation of winter rapeseed plant and to explain the growth rate under water stress. Irrigation treatments were full irrigation at all growth stages, water stress during the vegetative stage in early spring, water stress at flowering and podding stages, water stress at grain filling stage and rain-fed treatment with supplemental irrigation at time of planting. A high value for the goodness of fit (0.996) and low value for normalized root mean square error (0.085) showed that the double logistic function can describe and simulate DM variation of rapeseed accurately. DM predicted by the double logistic equation based on growing degree day was slightly closer to the measured DM compared with the DM predicted by the double logistic equation based on days after planting. Results showed that growth rate before the winter cold period was lower than that after this period. There were two maximum growth rates for winter rapeseed: the first occurred before cold period and another after.

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Corresponding author

Author for correspondence: A. Shabani, E-mail: shabani8ali@gmail.com

References

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Archontoulis, SV and Miguez, FE (2015) Nonlinear regression models and applications in agricultural research. Agronomy Journal 107, 786798.
Auzanneau, J, Huyghe, C, Escobar-Gutiérrez, AJ, Julier, B, Gastal, F and Barre, P (2011) Association study between the gibberellic acid insensitive gene and leaf length in a Lolium perenne L. synthetic variety. BMC Plant Biology 11, 183196.
BBCH (Biologische Bundesanstallt für Land-und Forstwirtschaft) (1997) Growth Stages of Mono-and Dicotyledonous Plants: BBCH Monograph. Berlin: Blackwell Wissenschafts-Verlag.
Bouchereau, A, Clossais-Besnard, N, Bensaoud, A, Leport, L and Renard, M (1996) Water stress effects on rapeseed quality. European Journal of Agronomy 5, 1930.
Feller, C, Favre, P, Janka, A, Zeeman, SC, Gabriel, J-P and Reinhardt, D (2015) Mathematical modeling of the dynamics of shoot-root interactions and resource partitioning in plant growth. PLoS ONE 10, e0127905. doi: 10.1371/journal.pone.0127905.
Gabriel y Galán, JM, Prada, C, Martínez-Calvo, C and Lahoz-Beltrá, R (2015) A Gompertz regression model for fern spores germination. Anales del Jardín Botánico de Madrid 72, e015, 10.3989/ajbm.2405.
Gajanayake, B, Raja Reddy, K and Shankle, MW (2015) Quantifying growth and developmental responses of sweet potato to mid- and late-season temperature. Agronomy Journal 107, 18541862.
Gan, Y, Angadi, SV, Cutforth, H, Potts, D, Angadi, VV and McDonald, CL (2004) Canola and mustard response to short periods of temperature and water stress at different developmental stages. Canadian Journal of Plant Science 84, 697704.
Génard, M and Huguet, JG (1996) Modeling the response of peach fruit growth to water stress. Tree Physiology 16, 407415.
Greer, DH and Weston, C (2010) Heat stress affects flowering, berry growth, sugar accumulation and photosynthesis of Vitis vinifera cv. Semillon grapevines grown in a controlled environment. Functional Plant Biology 37, 206214.
Gur, A, Osorio, S, Fridman, E, Fernie, AR and Zamir, D (2010) hi2-1, A QTL which improves harvest index, earliness and alters metabolite accumulation of processing tomatoes. Theoretical and Applied Genetics 121, 15871599.
Hau, B, Amorim, L and Bergamin Filho, A (1993) Mathematical functions to describe disease progress curves of double sigmoid pattern. Phytopathology 83, 928932.
Honar, T, Sabet Sarvestani, A, Shams, S, Sepaskhah, AR and Kamgar Haghighi, AA (2013) Effect of drought stress in different growth stages on grain yield and yield components of rapeseed (cv. Talayeh). Iranian Journal of Crop Science 14, 320332 (In Persian with English abstract).
Jamieson, PD, Porter, JR and Wilson, DR (1991) A test of the computer simulation model ARCWHEAT1 on wheat crops grown in New Zealand. Field Crops Research 27, 337350.
Lancashire, PD, Bleiholder, H, Van Den Boom, T, Langelüddecke, P, Stauss, R, Weber, E and Witzenberger, A (1991) A uniform decimal code for growth stages of crops and weeds. Annals of Applied Biology 119, 561601.
Lim, CAA, Awan, TH, Sta. Cruz, PC and Chauhan, BS (2015) Influence of environmental factors, cultural practices, and herbicide application on seed germination and emergence ecology of Ischaemum rugosum Salisb. PLoS ONE 10, e0137256, 10.1371/journal.pone.0137256.
Lipovetsky, S (2010) Double logistic curve in regression modeling. Journal of Applied Statistics 37, 17851793.
Montanaro, G, Dichio, B, Xiloyannis, C and Celano, G (2006) Light influences transpiration and calcium accumulation in fruit of kiwifruit plants (actinidia deliciosa var. deliciosa). Plant Science 170, 520527.
Morrison, MJ, McVetty, PBE and Shaykewich, CF (1989) The determination and verification of a baseline temperature for the growth of westar summer rape. Canadian Journal of Plant Science 69, 455464.
Moustakas, ΝΚ, Akoumianakis, KA and Passam, HC (2011) Patterns of dry biomass accumulation and nutrient uptake by okra (Abelmoschus esculentus (L.) Moench.) under different rates of nitrogen application. Australian Journal of Crop Science 5, 9931000.
Sepaskhah, AR, Fahandezh-Saadi, S and Zand-Parsa, S (2011) Logistic model application for prediction of maize yield under water and nitrogen management. Agricultural Water Management 99, 5157.
Shabani, A, Kamkar Haghighi, AA, Sepaskhah, AR, Emam, Y and Honar, T (2009) Effect of water stress on physiological parameters of oil seed rape (Brassica napus L.). Journal of Water and Soil Science 13, 3142, In Persian.
Shabani, A, Sepaskhah, AR and Kamgar-Haghighi, AA (2013) Estimation of yield and dry matter of rapeseed using logistic model under water salinity and deficit irrigation. Archives of Agronomy and Soil Science 60, 951969.
Soil Survey Staff (1993) Soil Survey Manual. U.S. Department of Agriculture, Handbook No. 18. Washington, DC, USA: USDA.
Soudani, K, le Maire, G, Dufrêne, E, François, C, Delpierre, N, Ulrich, E and Cecchini, S (2008) Evaluation of the onset of green-up in temperate deciduous broadleaf forests derived from moderate resolution imaging spectroradiometer (MODIS) data. Remote Sensing of Environment 112, 26432655.
Tarara, JM, Blom, PE, Shafii, B, Price, WJ and Olmstead, MA (2009) Modeling seasonal dynamics of canopy and fruit growth in grapevine for application in trellis tension monitoring. HortScience 44, 334340.
Willmott, CJ, Rowe, CM and Mintz, Y (1985) Climatology of the terrestrial seasonal water cycle. International Journal of Climatology 5, 589606.
Xiangxiang, W, Quanjiu, W, Jun, F, Lijun, S and Xinlei, S (2014) Logistic model analysis of winter wheat growth on China's Loess Plateau. Canadian Journal of Plant Science 94, 14711479.

Keywords

Using double logistic equation to describe the growth of winter rapeseed

  • A. Shabani (a1), A. R. Sepaskhah (a2) (a3), A. A. Kamgar-Haghighi (a2) (a3) and T. Honar (a2) (a3)

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