• 제목/요약/키워드: Gompertz model

검색결과 158건 처리시간 0.02초

Mathematical Description of Seedling Emergence of Rice and Echinochloa species as Influenced by Soil burial depth

  • Kim Do-Soon;Kwon Yong-Woong;Lee Byun-Woo
    • 한국작물학회지
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    • 제51권4호
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    • pp.362-368
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    • 2006
  • A pot experiment was conducted to investigate the effects of soil burial depth on seedling emergences of rice (Oryza sativa) and Echinochloa spp. and to model such effects for mathematical prediction of seedling emergences. When the Gompertz curve was fitted at each soil depth, the parameter C decreased in a logistic form with increasing soil depth, while the parameter M increased in an exponential form and the parameter B appeared to be constant. The Gompertz curve was combined by incorporating the logistic model for the parameter C, the exponential model for the parameter M, and the constant for the parameter B. This combined model well described seedling emergence of rice and Echinochloa species as influenced by soil burial depth and predicted seedling emergence at a given time after sowing and a soil burial depth. Thus, the combined model can be used to simulate seedling emergence of crop sown in different soil depths and weeds present in various soil depths.

A Study on the Revitalization Pattern of Industry in Decline: Focusing on Korean Shoe Industry

  • LEE, Kang-Sun;CHOI, Kyu-Jin;KANG, Sung-Wook;CHO, Dae-Myeong
    • 동아시아경상학회지
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    • 제10권4호
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    • pp.75-90
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    • 2022
  • Purpose - This study aims to study the activation pattern of declining industries by applying the Gompertz growth model using available resources based on the theory of industrial life cycle, classifying declining industries among Korean manufacturing industries, and identifying resource input characteristics. Research design and methodology - This study was conducted by combining the Gompertz growth model that predicts the limit of output based on available resources under the industrial life cycle theory. Using Gompertz model, this study analyzed the life cycle of 39 Korean manufacturing industries from the perspective of domestic production, number of employees, and fixed assets Results - According to a life cycle analysis of 39 manufacturing industries in Korea, the computer, textile, and shoe industries were classified as declining industries. Among them, research on resource input characteristics on the shoe industry showed that domestic production and the number of employees decreased, while the proportion of domestic R&D personnel and the number of research departments gradually increased. Conclusion - Among the declining industries in Korea, the shoe industry is considered to revitalize the industry, that is, to extend the life of the declining industry by offshoring its production site and improving constitution with a "R&D center for global" support.

Analysis of the Corporate Life Cycle using the Gompertz Model Focused on Korean Pharmaceutical Longevity Companies

  • Kyu-Jin, CHOI;Kang-Sun, LEE;Sung-Wook, KANG;Dae-Myeong, CHO
    • 융합경영연구
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    • 제11권1호
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    • pp.31-44
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    • 2023
  • Purpose: This study aims to figure out the characteristics of corporate life cycle and resource input in terms of the sustainability diagnosis of pharmaceutical companies in Korea. Research design, data, and methodology: Using the Gompertz model under the assumption that companies have finite resources, this study tries quantitative interpretation of life cycle and resource input pattern for longevity companies with 25 years of experience among 158 pharmaceutical companies listed on Korean stock market based on maturity of revenue. Results: The study found revenue maturity through Gompertz model was statistically correlated with enterprise value. According to the life cycle analysis, more than 95% of 59 pharmaceutical companies were in the growth and maturity phase and have an average life cycle of 88 years and an average remaining life of 52 years. Regarding maturity profile of resource input, maturity of employees was generally high more than 60% and this meant there was jobless growth in Korean pharmaceutical industry. Conclusion: This study demonstrated there is a high statistical correlation between the maturity of a company's resource input and its revenue and enterprise value. It is believed that these results could be utilized as a basis for high fidelity function that predict revenue and enterprise value based on resource input information.

지하 수위가 다른 조건에서 콩의 초장과 경태 모델링 (Modeling Growth of Canopy Heights and Stem Diameters in Soybeans at Different Groundwater Level)

  • 최진영;김동현;권순홍;최원식;김종순
    • 한국산업융합학회 논문집
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    • 제20권5호
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    • pp.395-404
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    • 2017
  • Cultivating soybeans in rice paddy field reduces labor costs and increases the yield. Soybeans, however, are highly susceptible to excessive soil water in paddy field. Controlled drainage system can adjust groundwater level (GWL) and control soil moisture content, resulting in improvement soil environments for optimum crop growth. The objective of this study was to fit the soybean growth data (canopy height and stem diameter) using Gompertz model and Logistic model at different GWL and validate those models. The soybean, Daewon cultivar, was grown on the lysimeters controlled GWL (20cm and 40cm). The soil textures were silt loam and sandy loam. The canopy height and stem diameter were measured from the 20th days after seeding until harvest. The Gompertz and Logistic models were fitted with the growth data and each growth rate and maximum growth value was estimated. At the canopy height, the $R_2$ and RMSE were 0.99 and 1.58 in Gompertz model and 0.99 and 1.33 in Logistic model, respectively. The large discrepancy was shown in full maturity stage (R8), where plants have shed substantial amount of leaves. Regardless of soil texture, the maximum growth values at 40cm GWL were greater than the value at 20cm GWL. The growth rates were larger at silt loam. At the stem diameter, the $R_2$ and RMSE were 0.96 and 0.27 in Gompertz model and 0.96 and 0.26 in Logistic model, respectively. Unlike the canopy height, the stem diameter in R8 stage didn't decrease significantly. At both GWLs, the maximum growth values and the growth rates at silt loam were all larger than the values at sandy loam. In conclusion, Gompertz model and Logistic model both well fit the canopy heights and stem diameters of soybeans. These growth models can provide invaluable information for the development of precision water management system.

차세대 디스플레이 기술의 예측에 관한 연구 (A Study on Technological Forecasting of Next-Generation Display Technology)

  • 남기웅;박상성;신영근;정원교;장동식
    • 한국산학기술학회논문지
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    • 제10권10호
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    • pp.2923-2934
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    • 2009
  • 본 논문에서는 차세대 디스플레이 기술에 대해서 기술의 추세를 예측하였다. 차세대 디스플레이 기술은 최근에 급부상 하는 기술로 연구개발을 수행하는데 있어 추후 연구 방향을 설정하고 기술전략을 세우는데 불확실성을 줄여주기 위해 기술의 미래 발전 방향이나 추세에 대해서 예측을 해 보는 것이 중요하다. 이렇게 함으로써 연구개발 목표를 좀 더 명확히 설정할 수 있고 불필요한 투자를 방지할 수 있다. 본 논문에서는 차세대 디스플레이 기술에 대해서 특허 데이터를 사용하여 정량적인 예측을 수행하였다. 예측 방법으로는 Gompertz, Logistic, Bass모형을 사용하였다. 이 세 모형들은 과거 시장에서의 제품의 확산과정을 설명하는데 사용되었던 모형이다. Gompertz, Logistic모형은 시장의 수요예측 뿐만 아니라 기술의 수요예측에도 주로 쓰였기 때문에 본 논문에서도 이 두 모형을 적용하였다. 하지만 Gompertz, Logistic 모형은 시장에서의 내부 효과에 의한 확산만을 반영한 모형이고 성장의 상한 값을 추정하는 데 있어 추정이 쉽지 않다는 단점이 있다. 기술의 수요도 시장에서의 제품의 확산처럼 기술혁신에 의한 외부 효과와 산업으로 전파될 때의 내부효과가 함께 수요의 확산에 영향을 끼칠 것이라고 판단하여 본 논문에서는 시장에서의 제품 확산의 외부효과와 내부효과를 동시에 고려한 Bass모형도 함께 적용하여 예측을 수행하였다. 또한 Gompertz, Logistic 모형의 상한 값을 Bass모형을 통해 객관적으로 추정하여 예측을 수행함으로써 두 모형의 단점을 보완하였다.

환경인자를 이용한 직경 및 수고생장 모형 추정 (Estimation of Diameter and Height Growth Equations Using Environmental Variables)

  • 이상현
    • 한국산림과학회지
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    • 제98권3호
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    • pp.351-356
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    • 2009
  • 본 연구는 전통적인 empirical 생장모델에 환경 인자를 독립변수로 사용하여 이를 환경 인자에 대한 생장 모델의 변화를 분석하여 정도가 높은 생장 모형 구축 가능성 여부를 판단하였다. 이를 위하여 기본적으로 추정된 편백의 수고 및 직경 생장모델에 각 지역의 환경 인자인 평균 기온, 평균 강수량, 고도, 토양의 유기질 함유량을 독립 변수로 추가 하였다. 수고 생장 모델은 Gompertz 다형방정식에 점근 변수인 ${\alpha}$에 온도 고도 인자의 2독립 변수로 도입하여 모델의 정도를 향상 시킬 수 있었다. 직경 생장 모델 또한 Gompertz 다형방정식에 연평균 강수량과 해발고를 도입한 모델이 정도가 높은 것으로 나타났다. 환경 인자를 도입하기 전과 후의 모델의 정도 향상을 비교 했을 때 아주 뚜렷하게 모델의 향상은 나타나지 않았으나 일정 비율의 정도를 향상 시킬 수 있었다. 이는 생장 모델을 구축하기 위한 데이터 조사의 어려움 및 투자할 수 있는 예산을 감안하여 모델의 정도를 향상시키기 위하여 비교적 쉽게 구할 수 있는 환경 인자들의 이용 가능성이 많은 것으로 판단된다.

A Study on the Numerical Approach for Industrial Life Cycle: Empirical Evidence from Korea

  • LEE, Kangsun;CHOI, Kyujin;CHO, Daemyeong
    • The Journal of Asian Finance, Economics and Business
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    • 제8권5호
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    • pp.667-678
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    • 2021
  • The industrial life cycle theory was extended to the product life cycle theory and the corporate life cycle theory, but a conceptual life cycle was presented, and quantitative empirical evidence for this was insufficient. It is intended to improve appropriate resource planning and resource allocation by quantitatively predicting the industrial cycle and its position (age) in the cycle. Human resources, tangible assets, and industrial output analysis were conducted based on 28 years of actual data of 39 industries in Korea by applying the Gompertz model, which is a population ecology prediction model. By predicting with the Gompertz model, the coefficient of determination R2 value was 97% or more, confirming the high suitability with the actual cumulative sales value of the industry. A numerical model for calculating the life cycle of each industry, calculating the saturation of input resources for each industry, and diagnosing the financial stability of the industry was presented. These results will contribute to the decision-making of industrial policy officers for budget planning appropriately for each stage of industry development. Future research will apply the numerical model of this study to foreign national industries, complete an inter-industry convergence diagnostic model (e.g. ease of convergence, suitability of convergence, etc.) for renewal of fading industries.

온도와 시간을 주요 변수로 한 냉장 돈육에서의 native isolated Listeria monocytogenes에 대한 성장예측모델 (Predictive Growth Model of Native Isolated Listeria monocytogenes on raw pork as a Function of Temperature and Time)

  • 홍종해;심우창;천석조;김용수;오덕환;하상도;최원상;박경진
    • 한국식품과학회지
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    • 제37권5호
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    • pp.850-855
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    • 2005
  • 본 연구는 냉장돈육에서의 식중독 원인균이면서 냉장온도에서 성장이 가능한 병원성균인 L. monocytogenes에 대한 적절한 위생관리를 제시하기 위하여 포장돈육 작업장 원료돈육에서 분리된 야생균주 L. monocytogenes 이용하여 돈육포장공정 및 유통조건에서의 L. mnocytogenes에 대한 성장예측모델을 제시하고자 실시하였다. 성장실험은 온도 5, 10, 15, $20^{\circ}C$ 시간은 0, 1, 2, 3, 18, 48, 120시간에서 실시하였으며, 이를 바탕으로 온도별 Gompertz value인 A, C, B, M의 값과 Growth kinetic인 exponential growth rate(EGR), generation time(GT), lag phase duration(LPD), maximum population density(MPD)를 산출하였다. GT, LPD는 온도가 상승할수록 그 값이 점점 낮아지는 경향을 나타났으며, EGR의 경우는 반대로 온도가 높아질수록 점점 높아지는 경향을 나타냈다. Gompertz value중 B와 M 값을 이용하여 온도를 주요 control factor로 선정한 반응표면분석(Response surface analysis)을 실시하여 온도에 따른 다항식을 산출하였고 이 식을 Gompertz 식에 적용하여 온도와 시간에 따른 냉장돈육에서의 L. monocytogenes에 대한 성장정도를 예측할 수 있는 성장예측모델을 제시하였다. 개발된 성장예측모델에 대한 검증은 GT, LPD, EGR에 대한 실험값과 예측값의 비교를 통하여 실시하였으며, 그 결과 GT, LPD, EGR 모두 통계적으로 유의하게 나타났다(p<0.01). 따라서 이 모델은 risk assessment 중 exposure assessment를 위한 성장예측모델로 충분히 이용가능 한 것으로 보이며, 추후 냉장돈육 위성관리기준에 대한 과학적 근거자료로 활용될 수 있을 것으로 보인다.

Estimation of growth curve in Hanwoo steers using progeny test records

  • Yun, Jae-Woong;Park, Se-Yeong;Park, Hu-Rak;Eum, Seung-Hoon;Roh, Seung-Hee;Seo, Jakyeom;Cho, Seong-Keun;Kim, Byeong-Woo
    • 농업과학연구
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    • 제43권4호
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    • pp.623-633
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    • 2016
  • A total of 6,973 steer growth records of Hanwoo breeding bull's progeny test data collected from 1989 to 2015 were analyzed to identify the most appropriate growth curve among three growth curve models (Gompertz, Logistic and von Bertalanffy). The Gompertz growth curve model equation was $W_t=990.5e^{{-2.7479e}^{-0.00241t}}$, the Logistic growth curve model equation was $W_t=772(1+8.3314e^{-0.00475t})^{-1}$, and the von Bertalanffy growth curve model equation was $W_t=1,196.4(1-0.646e^{-0.00162t})^3$. The Gompertz model parameters A, b, and k were estimated to be $990.5{\pm}10.27$, $2.7479{\pm}0.0068$, and $0.00241{\pm}0.000028$, respectively. The inflection point age was estimated to be 421 days and the weight of inflection point was 365.3 kg. The Logistic model parameters A, b, and k were estimated to be $772.0{\pm}4.12$, $8.3314{\pm}0.0453$, and $0.00475{\pm}0.000033$, respectively. The inflection point age was estimated to be 445 days and the weight of inflection point was 385.0 kg. The von Bertalanffy model parameters A, b, and k were estimated to be $1196.4{\pm}18.39$, $0.646{\pm}0.0010$, and $0.00162{\pm}0.000027$, respectively. The inflection point age was estimated to be 405 days and the weight of inflection point was 352.0 kg. Mature body weight of the von Bertalanffy model was 1196.4 kg, the Gompertz model was 990.5 kg, and the Logistic model was 772.0 kg. The difference between actual and estimated weights was similar in the Logistic model and the von Bertalanffy model. The difference between market weight and estimated market weight was the lowest in the Gompertz model. The growth curve using the von Bertalanffy model showed the lowest mean square error.

수육에서의 Staphylococcus aureus 성장 예측모델 (Predictive Model for Growth of Staphylococcus aureus in Suyuk)

  • 박형수;박경진;박기환;박지연;류경
    • 한국축산식품학회지
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    • 제30권3호
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    • pp.487-494
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    • 2010
  • 본 연구는 수육에 쉽게 오염될 수 있는 S. aureus에 대한 성장 예측모델을 적용하고, 이를 비교하여 수육을 안전하게 관리하기 위한 적절한 모델을 제시하고자 하였다. 온도에 따른 S. aureus의 성장곡선은 5, 15, $25^{\circ}C$의 보관온도에서 측정하였다. 수육에 오염된 S. aureus의 성장결과를 기초로 온도에 따라 Baranyi model과 Gompertz model을 이용하여 SGR와 LT를 산출하였다. 두 모델에 대하여 R2과 RMSE를 산출하여 통계적인 적합성을 비교하였으며 그 결과 Baranyi model에서는 각각 0.98, 0.27, Gompertz model에서는 각각 0.84, 0.84로 나타나 Baranyi model이 온도변화에 따라 S. aureus 생육을 예측하기 위한 이차모델의 변수 값으로 사용하는데 더 적합하였다. RSM을 이용한 2차 모델에서는 $R^2$이 5, 15, $25^{\circ}C$에서 각각 0.88, 0.99, 0.99로 나타나 실험값과 예측값의 상관관계가 높았다. 또한 RMSE는 온도별로 각각 0.11, 0.24, 0.10로 나타났고, $B_f$는 각각1.12, 1.02, 1.03로, $A_f$는 각각 1.17, 1.03, 1.03로 나타나 통계적 적합성이 높다고 할 수 있다. 따라서 개발된 모델을 이용할 경우 수육의 다양한 조리환경과 온도에 따른 S. auresus 성장을 추정할 수 있으며, 이를 위해 평가에서 충분히 활용할 수 있을 것으로 보인다.