Abstract
The objectives of this study were to develop a growth model of pak-choi using an expolinear function and to estimate the effect of the radiation integral and planting density on the crop growth rate. The growth and yield of hydroponically grown pak-choi (Brassica campestris ssp. chinensis) were investigated at four different planting densities (27, 33, 44, and 67 plants/m2). The shoot dry and fresh weights per m2 increased with increasing planting density and could be expressed as expolinear functions based on the daily photosynthetically active radiation (PAR). A linear relationship was observed between the shoot dry weight and fresh weight, regardless of the planting density. The maximum crop growth rate and light use efficiency (LUE) increased with increasing planting density, but the lost daily PAR integral decreased. The maximum relative growth rate was not significantly different among the planting densities. Using the relative growth rate per the daily PAR integral and LUE, an expolinear growth model of pak-choi was developed. The measured and estimated shoot dry weights exhibited strong agreement with Y = 1.010·X (R2 = 0.982***) using the PAR and leaf area index as inputs. The expolinear growth model was determined to be useful for quantifying the growth and yield of pak-choi in controlled environments.
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Literature Cited
Awal, M.A., H. Koshi, and T. Ikeda. 2006. Radiation interception and use by maize/peanut intercrop canopy. Agr. Forest Meteorol. 139:74–83.
Beccafichi, C., P. Benincasa, M. Guiducci, and F. Tei. 2003. Effect of crop density on growth and light interception in greenhouse lettuce. Acta Hortic. 614:507–513.
Both, A.J., L.D. Albright, R.W. Langhans, R.A. Reiser, and B.G. Vinzant. 1997. Hydroponic lettuce production influenced by integrated supplemental light levels in a controlled environmental facility: Experimental results. Acta Hortic. 418:45–51.
Cho, Y.Y. and J.E. Son. 2005. Effect of planting density on growth and yield of hydroponically-grown pak-choi (Brassica campestris ssp. chinensis). J. Kor. Soc. Hort. Sci. 46:291–294.
Cho, Y.Y. and J.E. Son. 2007. Estimation of leaf number and leaf area of hydroponic pak-choi plants (Brassica campestris ssp. chinensis) using growing degree-days. J. Plant Biol. 50:8–11.
Cho, Y.Y., J.H. Bae, and J.E. Son. 2008. Use of parabolic function to calculate cardinal temperatures in pak-choi (Brassica campestris ssp. chinensis). J. Kor. Soc. Hort. Sci. 49:291–294.
Dennett, M.D. and K.H.M. Ishag. 1998. Use of the expolinear growth model to analyze the growth of faba bean, peas and lentils at three densities: Predictive use of the model. Ann. Bot. 82:507–512.
Dwyer, L.M. and D.W. Stewart. 1986. Leaf area development in field-grown maize. Agron. J. 78:334–343.
Ferreira, A.M. and F.G. Abreu. 2001. Description of development, light interception and growth of sunflower at two sowing dates and two densities. Mathematics and Computers in Simulation 56:369–384.
Francescangeli, N., M.A. Sangiacomo, and H. Martí. 2006. Effects of plant density in broccoli on yield and radiation use efficiency. Sci. Hortic. 110:135–143.
Goudriaan, J. and H.H. Van Laar. 1994. Modelling potential crop growth processes: Textbook with exercises. Current issues in production ecology 2. Kluwer Academic Publishers, Dordrecht.
Goudriaan, J. and J.L. Monteith. 1990. A mathematical function for crop growth based on light interception and leaf area expansion. Ann. Bot. 66:695–701.
Hanson, P., R.Y. Yang, L.C. Chang, L. Ledesma, and D. Ledesma. 2009. Contents of carotenoids, ascorbic acid, minerals and total glucosinolates in leafy brassica pakchoi (Brassica rapa L. chinensis) as affected by season and variety. J. Sci. Food Agr. 89:906–914.
Ishag, K.H.M. and M.D. Dennett. 1998. Use of the expolinear growth model to analyze the growth of faba bean, peas and lentils at three densities: Fitting the model. Ann. Bot. 82:497–505.
Kage, H, H. Stützel, and C. Alt. 2001. Predicting dry matter production of cauliflower (Brassica oleracea L. botrytis) under unstressed conditions: Part II. Comparison of light use efficiency and photosynthesis–respiration based modules. Sci. Hortic. 87:171–190.
Lee, J.H., E. Heuvelink, and H. Challa. 2002. Effects of planting date and plant density on crop growth in cut chrysanthemum. J. Hortic. Sci. Biotechnol. 77:238–247.
Lee, J.H., J. Goudriaan, and H. Challa. 2003. Using the expolinear growth equation for modeling crop growth in year-round cut chrysanthemum. Ann. Bot. 92:697–708.
Lin, W.C. 2002. Crop modeling and yield prediction for greenhousegrown lettuce. Acta Hortic. 593:159–164.
Monti, A., M.T. Amaducci, G. Pritoni, and G. Venturi. 2005. Growth, fructan yield, and quality of chicory (Cichorium intybus L.) as related to photosynthetic capacity, harvest time, and water regime. J. Exp. Bot. 56:1389–1395.
Muchow, R.C. and P.S. Carberry. 1990. Phenology and leaf-area development in a tropical grain sorghum. Field Crops Res. 23:221–237.
NeSmith, D.S. 1993. Plant spacing influences watermelon yield and yield components. HortScience 28:885–887.
Olesen, J.E. and K. Grevsen. 1997. Effects of temperature and irradiance on vegetative growth of cauliflower (Brassica oleracea L. botrytis) and broccoli (Brassica oleraceas L. italica). J. Exp. Bot. 48:1591–1598.
Purcell, L.C., R.A. Ball, J.D. Reaper, and E.D. Vories. 2002. Radiation use efficiency and biomass production in soybean at different plant population densities. Crop Sci. 42:172–177.
Reiners, S. and D.I.M. Riggs. 1999. Plant population affects yield and fruit size of pumpkin. HortScience 34:1076–1078.
Tei, F., A. Scaife, and D.P. Aikman. 1996a. Growth of lettuce, onion and red beet. 1. Growth analysis, light interception, and radiation use efficiency. Ann. Bot. 78:633–643.
Tei, F., D.P. Aikman, and A. Scaife. 1996b. Growth of lettuce, onion and red beet. 2. Growth modeling. Ann. Bot. 78:645–652.
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Cho, Y.Y., Lee, J.H., Shin, J.H. et al. Development of an expolinear growth model for pak-choi using the radiation integral and planting density. Hortic. Environ. Biotechnol. 56, 310–315 (2015). https://doi.org/10.1007/s13580-015-0140-z
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DOI: https://doi.org/10.1007/s13580-015-0140-z