• Title/Summary/Keyword: expolinear equation

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Growth Model of Sowthistle (Ixeris dentata Nakai) Using Expolinear Function in a Closed-type Plant Production System (완전제어형 식물 생산 시스템에서 선형 지수 함수를 이용한 씀바귀의 생육 모델)

  • Cha, Mi-Kyung;Son, Jung-Eek;Cho, Young-Yeol
    • Horticultural Science & Technology
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    • v.32 no.2
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    • pp.165-170
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    • 2014
  • The objective of this study was to make growth and yield models of sowthistle (Ixeris dentata Nakai) by using an expolinear functional equation in a closed-type plant production system. The growth and yield of hydroponically-grown sowthistle were investigated under four different planting distances ($15{\times}10$, $15{\times}15$, $15{\times}20$, and $15{\times}25$ cm). Shoot dry weights per plant was the highest at $15{\times}25$ cm, but was the lowest at $15{\times}10$ cm. Shoot dry weights per area was the highest at $15{\times}15$ cm, but was the lowest at $15{\times}25$ cm. The optimum planting density and planting distance for yield of sowthistle were 44 plants/$m^2$ and $15{\times}15$ cm, respectively. Shoot dry weights per plant and per area were showed as an expolinear type functional equation. A linear relationship between shoot dry and fresh weights was observed to be linear regardless of the planting distance. Crop growth rate, relative growth rate and lost time in an expolinear functional equation showed quadratic function form. Radiation use efficiency of sowthistle was $4.3-6.1g{\cdot}MJ^{-1}$. The measured and estimated shoot dry weights showed a good agreement using days after transplanting as input data. It is concluded that the expolinear growth model can be a useful tool for quantifying the growth and yield of sowthistle in a closed-type plant production system.

Development of Models for Estimating Growth of Quinoa (Chenopodium quinoa Willd.) in a Closed-Type Plant Factory System (완전제어형 식물공장에서 퀴노아 (Chenopodium quinoa Willd.)의 생장을 예측하기 위한 모델 개발)

  • Austin, Jirapa;Cho, Young-Yeol
    • Journal of Bio-Environment Control
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    • v.27 no.4
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    • pp.326-331
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    • 2018
  • Crop growth models are useful tools for understanding and integrating knowledge about crop growth. Models for predicting plant height, net photosynthesis rate, and plant growth of quinoa (Chenopodium quinoa Willd.) as a leafy vegetable in a closed-type plant factory system were developed using empirical model equations such as linear, quadratic, non-rectangular hyperbola, and expolinear equations. Plant growth and yield were measured at 5-day intervals after transplanting. Photosynthesis and growth curve models were calculated. Linear and curve relationships were obtained between plant heights and days after transplanting (DAT), however, accuracy of the equation to estimate plant height was linear equation. A non-rectangular hyperbola model was chosen as the response function of net photosynthesis. The light compensation point, light saturation point, and respiration rate were 29, 813 and $3.4{\mu}mol{\cdot}m^{-2}{\cdot}s^{-1}$, respectively. The shoot fresh weight showed a linear relationship with the shoot dry weight. The regression coefficient of the shoot dry weight was 0.75 ($R^2=0.921^{***}$). A non-linear regression was carried out to describe the increase in shoot dry weight of quinoa as a function of time using an expolinear equation. The crop growth rate and relative growth rate were $22.9g{\cdot}m^{-2}{\cdot}d^{-1}$ and $0.28g{\cdot}g^{-1}{\cdot}d^{-1}$, respectively. These models can accurately estimate plant height, net photosynthesis rate, shoot fresh weight, and shoot dry weight of quinoa.

Growth Model of Common Ice Plant (Mesembryanthemum crystallinum L.) Using Expolinear Functions in a Closed-type Plant Production System (완전제어형 식물 생산 시스템에서 선형 지수 함수를 이용한 Common Ice Plant의 생육 모델)

  • Cha, Mi-Kyung;Kim, Ju-Sung;Cho, Young-Yeol
    • Horticultural Science & Technology
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    • v.32 no.4
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    • pp.493-498
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    • 2014
  • The objective of this study was to make growth and yield models for common ice plant (Mesembryanthemum crystallinum L.) using expolinear functional equations in a closed-type plant production system. Three-band radiation type fluorescent lamps with a 12-hours photoperiod were used, and the light intensity was $200{\mu}mol{\cdot}m^{-2}{\cdot}s^{-1}$. Nutrient film systems with three layers were used for plant growth. Environmental conditions, such as air temperature, relative humidity and $CO_2$ concentration were controlled by an ON/OFF operation. Leaf area, shoot fresh and dry weights, light use efficiency of common ice plant as function of days after transplanting, accumulative temperature and accumulative radiation were analyzed. Leaf area, shoot fresh and dry weights per area were described using an expolinear equation. A linear relationship between shoot dry and fresh weights was observed. Light use efficiency of common ice plant was $3.3g{\cdot}MJ^{-1}$ at 30 days after transplanting. It is concluded that the expolinear growth model can be a useful tool for quantifying the growth and yield of common ice plant in a closed plant production system.

Effects of the High Pressure Sodium Lamp Lighting on the Dynamics of Growth and Dry Mass Partitioning in Sweet Pepper Plant (고압나트륨등 조사가 파프리카의 동적 생장과 건물분배율에 미치는 영향)

  • Kim, Eun Jeong;Lee, Sang Hyun;Lee, Jeong Hyun
    • Horticultural Science & Technology
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    • v.31 no.5
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    • pp.565-572
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    • 2013
  • The objective of this study was to describe and analyze the effect of high pressure sodium lamp lighting (HPS) on dynamics of growth and dry matter partitioning, and light use efficiency of sweet pepper crop grown over winter season. Young sweet pepper seedlings were planted at 3.75 plants per $m^2$ on September 29, 2010 and treated with HPS for 16 hours from December 14, 2010 until March 18, 2011. The number of leaves per plant were significantly increased with HPS, whereas the number of internodes and leaf area were less affected. HPS reduced the plant height with higher number of fruits per stem compared to those of without HPS lighting (CON). There were large differences in total dry mass production, stem and fruit dry mass between HPS and CON and those with HPS increased by 67.8%, 28.5%, and 97.1% compared to CON, respectively. Each organs of dry mass partitioning was calculated by leaf, stem or fruit growth rate divided by total plant growth rate. Dynamics of dry mass partitioning to leaf and stem between HPC and CON was measured in range of 45-47% at beginning of growth phase and drastically decreased after starting fruit growth in both treatments. Dry matter partitioning to vegetative organs was 4% higher compared to the plant grown under HPS lighting. Averaged dry matter partitioning to fruit with HPS, however, was largely increased by 14.2% compared to CON. Dynamics of the plant growth were well described by expolinear growth equation with three parameters of maximum relative growth rate, absolute growth rate and lost time to reach linear phase. The maximum growth rate of leaf, stem and fruit with HPS was increased by 18.6%, 74.7%, and 143.5% compared to CON. There was a linear relationship between intercepted light integral and vegetative organs (leaf and stem), fruit or total dry mass production. Light use efficiency (LUE, $g{\cdot}MJ^{-1}$) of total dry mass was $4.90g{\cdot}MJ^{-1}$ for HPS and $3.84g{\cdot}MJ^{-1}$ for CON, LUE of vegetative organs was $1.56g{\cdot}MJ^{-1}$ for HPS and $1.61g{\cdot}MJ^{-1}$ for CON and LUE of fruit dry mass was $3.34g{\cdot}MJ^{-1}$ for HPS and $2.23g{\cdot}MJ^{-1}$ for CON. The difference in LUE of total dry mass between treatments, therefore, occurred mainly from the different in LUE of fruit dry mass.