論文 - 飛佐 学
-
Deriving five growth functions from bertalanffy function based on symmetry and complexity
Shimojo M., Shimojo M., Shimojo M., Shimojo M., Nakano Y., Nakano Y., Tobisa M., Tobisa M., Shao T., Shao T.
Journal of the Faculty of Agriculture, Kyushu University 57 ( 1 ) 151 - 152 2012年2月
記述言語：日本語 掲載種別：研究論文（学術雑誌） 出版者・発行元：Journal of the Faculty of Agriculture, Kyushu University
This study was designed to derive five growth functions from Bertalanffy function using symmetry and complexity of them by relating each function to its first and second derivatives. The results obtained were as follows. In equations constructed by relating functions to their derivatives, the left-hand sides were the same in form, but the right-hand sides showed differences from the symmetry essential to exponential function. These differences were related to complexity of functions approaching asymptotes. The asymptotic properties of five functions were shown by phenomena that the right-hand sides tended to zero as í tended to infinity. Six growth functions arranged by the complexity were Bertalanffy > Richards > Mitscherlich = logistic = Gompertz > basic growth. Despite different function forms, Mitscherlich, logistic and Gompertz functions were not distinguished each other from the viewpoint of complexity, a kind of symmetry existing at the base of them. Based on symmetry and complexity, five growth functions were derived from Bertalanffy function, a hierarchic structure of growth functions from Bertalanffy function on down.
-
混作栽培した飼料イネとファジービーン（Macroptilium lathyroides (L.) Urb.）の生産性および栄養成分 査読あり
飛佐 学・中野 豊・白 珍洙・望月俊宏・下條雅敬・増田泰久
日本草地学会誌 57 ( 4 ) 179 - 184 2012年1月
記述言語：日本語 掲載種別：研究論文（学術雑誌）
-
Quantifying short-term foraging behavior of cattle grazing a tall grass: A preliminary study with maize. 査読あり
Masahiko Hirata, Tomomi Tanikawa, Manabu Tobisa
Livestock Science 138 220 - 228 2011年6月
記述言語：英語 掲載種別：研究論文（学術雑誌）
-
Comparison between Richards growth function, its family growth functions and basic growth function 査読あり
Shimojo, M., Nakano, Y., Tobisa, M., Shao, T.
Journal of Faculty of Agriculture, Kyushu University 56 ( 1 ) 75 - 76 2011年2月
記述言語：英語 掲載種別：研究論文（大学，研究機関等紀要）
-
An application of the golden ratio and Fibonacci numbers to analyses of canopy structure of forage plants 査読あり
Shimojo, M., Tobisa, M., Nakano, Y.
Journal of Faculty of Agriculture, Kyushu University 56 ( 1 ) 77 - 78 2011年2月
記述言語：英語 掲載種別：研究論文（大学，研究機関等紀要）
-
Comparison between Richards Growth Function, its family growth functions and basic growth function
Shimojo M., Shimojo M., Nakano Y., Nakano Y., Nakano Y., Tobisa M., Tobisa M., Tobisa M., Shao T., Shao T.
Journal of the Faculty of Agriculture, Kyushu University 56 ( 1 ) 75 - 76 2011年2月
記述言語：日本語 掲載種別：研究論文（学術雑誌） 出版者・発行元：Journal of the Faculty of Agriculture, Kyushu University
This study was designed to make a comparison between Richards growth function, its family growth functions and basic growth function. Each growth function was combined with its first and second derivatives. The results obtained were as follows. Mitscherlich, logistic and Gompertz growth functions, each of which was a special case of Richards growth function, took a common form when combined with first and second derivatives. In the case of Richards growth function, there was an additional m when compared with the common form. The present study showed that Richards growth function resulted in its family growth functions when m = 0, and collapsed into basic growth function when m = 1. These were contradictory to the results by Richards (1959), except Mitscherlich growth function that was given when m = 0. There was a gap impossible to jump over between basic growth function and each of Mitscherlich, logistic and Gompertz growth functions. It was suggested that Richards growth function existed between a group of its family growth functions and basic growth function.
-
Shimojo M., Tobisa M., Tobisa M., Nakano Y., Nakano Y.
Journal of the Faculty of Agriculture, Kyushu University 56 ( 1 ) 77 - 78 2011年2月
記述言語：日本語 掲載種別：研究論文（学術雑誌） 出版者・発行元：Journal of the Faculty of Agriculture, Kyushu University
This study was designed to conduct analyses of canopy structure of forage plants by applying the golden ratio and the Fibonacci sequence to the infinite series of exponential function with base e used for analyses of production structures in forage plants. The results obtained were as follows. (1) The product of light extinction coefficient (K) and leaf area index (F) in the plant canopy took the value of golden ratio, where K and F were in inverse proportion. (2) The combination of large K and low F suggested the canopy leaves showing a horizontal inclination. (3) The small K and high F suggested the canopy leaves showing a vertical inclination. (4) These phenomena depended on the leaf inclination angle with which upper leaves shaded lower leaves, provided that other factors were the same. Therefore, the case (3) might give the canopy structure that was higher in the production of forage plants compared with the case (2). It was suggested that the golden ratio and the Fibonacci sequence, which appeared in the infinite series of exponential function with base e, were related to the analysis of canopy structure of forage plants.
-
Introducing viewpoints of mechanics into basic growth analysis – (XIV) Growth dynamics and related problems based on mathematical properties of modified differential equation for growth – 査読あり
Shimojo, M., Shao, T., Nakano, Y., Kakihara, H., Tobisa, M
Journal of Faculty of Agriculture, Kyushu University 55 ( 2 ) 253 - 257 2010年11月
記述言語：英語 掲載種別：研究論文（大学，研究機関等紀要）
-
Introducing viewpoints of mechanics into basic growth analysis – (XV) Relationships between Richards growth function and basic growth function – 査読あり
Shimojo, M., Nakano, Y., Ishimatsu, S., Kakihara, H., Shao, T., Tobisa, M.
Journal of Faculty of Agriculture, Kyushu University 55 ( 2 ) 259 - 260 2010年11月
記述言語：英語 掲載種別：研究論文（大学，研究機関等紀要）
-
Short-term ingestive behaviour of cattle grazing tropical stoloniferous grasses with contrasting growth forms. 査読あり
Masahiko Hirata, Eri Kunieda and Manabu Tobisa
Journal of Agricultural Science 148 615 - 624 2010年10月
記述言語：英語 掲載種別：研究論文（学術雑誌）
-
Shimojo M., Shimojo M., Shao T., Shao T., Nakano Y., Nakano Y., Nakano Y., Kakihara H., Kakihara H., Kakihara H., Tobisa M., Tobisa M., Tobisa M.
Journal of the Faculty of Agriculture, Kyushu University 55 ( 2 ) 253 - 257 2010年10月
記述言語：日本語 掲載種別：研究論文（学術雑誌） 出版者・発行元：Journal of the Faculty of Agriculture, Kyushu University
This study was conducted to investigate growth dynamics and related problems by analyzing mathematical properties of whole solutions to modified differential equation for growth. This modified differential equation was obtained by relating basic growth function with its first and second derivatives. The results obtained were as follows. (1) Sixteen functions were whole solutions to the modified differential equation for growth. Each of weight, relative growth rate (RGR), time and exponential function with base e was given positive and negative signs, namely symmetries in them with respect to ± signs. Functions in which time was replaced with space were also taken up. (2) The conservation of positive weight, by avoiding negative weight, required the existence of the past and that of the environmental space. (3) There were time reversal and space inversion theoretically in functions. But actually there was a breakdown of those symmetries, because moving forward in time is the principle of information transmission and there is an effect of gravity determining the upper and lower sides. (4) The hypothesis that RGR in functions was a mixture of positive and negative RGRs was discussed in relation to metabolic turnover, compensatory growth and homeostasis. (5) The form of the modified differential equation for growth suggested analogies to laws of motion. It was suggested from the present study that growth dynamics and related problems resulted from conservation, symmetry and analogy in whole solutions to modified differential equation for growth.
-
Shimojo M., Shimojo M., Nakano Y., Nakano Y., Nakano Y., Ishimatsu S., Ishimatsu S., Ishimatsu S., Kakihara H., Kakihara H., Kakihara H., Shao T., Shao T., Tobisa M., Tobisa M., Tobisa M.
Journal of the Faculty of Agriculture, Kyushu University 55 ( 2 ) 259 - 260 2010年10月
記述言語：日本語 掲載種別：研究論文（学術雑誌） 出版者・発行元：Journal of the Faculty of Agriculture, Kyushu University
This study was designed to investigate relationships between Richards growth function and basic growth function by comparing them using growth dynamics. There are inflection points in Richards growth function, but basic growth function expresses exponential curves only. To compare these two functions that are greatly different, the first and second derivatives were incorporated into each of them. The results obtained were as follows. Richards growth function was related to basic growth function when combined with derivatives and m = 1, though m = 1 was prohibited in Richards growth function itself. The occurrence of this relationship was a mathematical result of growth dynamics based on differential. It was suggested from the present study that Richards growth function was related to basic growth function when combined with the first and second derivatives.
-
Interindividual variability in feeding station behavior in cattle: A preliminary study. 査読あり
Masahiko Hirata, Yukihiro Nakayama and Manabu Tobisa
Grassland Science 56 ( 2 ) 108 - 115 2010年6月
記述言語：英語 掲載種別：研究論文（学術雑誌）
-
Selection of feeding areas by cattle in a spatially heterogeneous environment: selection between two tropical grasses differing in accessibility and abiotic environment 査読あり
Hirata, M., K. Yamamoto and M. Tobisa
J. Ethol. 28 95 - 103 2010年1月
記述言語：英語 掲載種別：研究論文（学術雑誌）
-
A preliminary investigation into dynamics of Lotka-Volterra equation 査読あり
Shimojo, M., Shao, T., Ishiwaka, R., Tanoue, J., Kakihara, H., Sata, C., Fukudome, H., Asano, Y., Nakano, Y., Tobisa, M., Masuda, Y.
Journal of Faculty of Agriculture, Kyushu University 54 ( 2 ) 365 - 367 2009年11月
記述言語：英語 掲載種別：研究論文（大学，研究機関等紀要）
-
Introducing viewpoints of mechanics into basic growth analysis – (XIII) Comparing growth mechanics between logistic functions and basic growth functions – 査読あり
Shimojo, M., Shao, T., Ishimatsu, S., Tanoue, J., Kakihara, H., Sata, C., Fukudome, H., Ishiwaka, R., Asano, Y., Nakano, Y., Tobisa, M., Masuda, Y.
Journal of Faculty of Agriculture, Kyushu University 54 ( 2 ) 361 - 363 2009年11月
記述言語：英語 掲載種別：研究論文（大学，研究機関等紀要）
-
Introducing viewpoints of mechanics into basic growth analysis – (XI) Negative weight problem in basic growth functions and its hypothetic avoidance by sign reversal of relative growth rate, space inversion and time reversal – 査読あり
Shimojo, M., Shao, T., Tanoue, J., Kakihara, H., Sata, C., Fukudome, H., Ishiwaka, R., Asano, Y., Nakano, Y., Tobisa, M., Masuda, Y
Journal of Faculty of Agriculture, Kyushu University 54 ( 2 ) 353 - 355 2009年11月
記述言語：英語 掲載種別：研究論文（大学，研究機関等紀要）
-
飛佐 学, 中野 豊, 白 珍洙, 望月 俊宏, 古澤 弘敏, 松石 貴裕, 泉 清隆, 道端 奈穂子, 梶原 良徳, 梶原 さゆり, 名田 陽一, 下條 雅敬, 増田 泰久
日本草地学会誌 55 ( 3 ) 233 - 241 2009年10月
記述言語：日本語 掲載種別：研究論文（学術雑誌） 出版者・発行元：日本草地学会
水田を有効利用した飼料作物生産技術の開発を目的とし、良質飼料イネサイレージの調製・利用法を確立するため、日印交雑イネ36系統を用い1回刈りおよび2回刈り時の乾物収量およびサイレージの発酵品質を調査することにより、飼料イネとして利用可能な系統の検索を試みた。2回刈区1回目刈取は8月1日（出穂前）に行い、株あたり乾物重は5.3-11.4gの範囲にあった。2回刈区2回目の刈取および1回刈区の刈取は10月2日（黄熟－完熟期）に行い、株あたり乾物重は、前者で8.6-87.1g、後者で38.5-103.8gの範囲にあった。2回刈区における株あたり乾物重から算出した合計乾物収量は2000g／m2を超える系統も存在し、1回刈区における乾物収量においても2000g／m2を超え、2283g／m2を示す系統があった。株当たりの籾重から算出した籾収量において、1300g／m2を越える系統も存在し、飼料用米としての利用可能性も期待できた。サイレージの発酵品質については、乾物率が高い値を示すものほど発酵品質も良好なものとなり、V2-SCOREと乾物率の間に高い正の相関が認められた。
-
日印交雑イネ数品種の乾物収量とサイレージ発酵品質 査読あり
飛佐 学・中野 豊・白 珍洙・望月俊宏・古澤弘敏・松石貴裕・泉 清隆・道端奈穂子・梶原良徳・梶原さゆり・名田陽一・下條雅敬・増田泰久
日本草地学会誌 55 ( 3 ) - 2009年10月
記述言語：日本語 掲載種別：研究論文（学術雑誌）
-
A preliminary investigation into dynamics of Lotka-Volterra equation
Shimojo M., Shimojo M., Shao T., Shao T., Shao T., Ishiwaka R., Ishiwaka R., Ishiwaka R., Tanoue J., Tanoue J., Tanoue J., Kakihara H., Kakihara H., Kakihara H., Sata C., Sata C., Sata C., Fukudome H., Fukudome H., Fukudome H., Asano Y., Asano Y., Asano Y., Nakano Y., Nakano Y., Nakano Y., Tobisa M., Tobisa M., Tobisa M., Masuda Y., Masuda Y., Masuda Y.
Journal of the Faculty of Agriculture, Kyushu University 54 ( 2 ) 365 - 367 2009年10月
記述言語：日本語 掲載種別：研究論文（学術雑誌） 出版者・発行元：Journal of the Faculty of Agriculture, Kyushu University
This study was conducted to investigate dynamics of Lotka-Volterra equation by introducing the second derivative for change acceleration in the number of predators and prey. Lotka-Volterra equation gives a simple model to the analysis of predator-prey relationships. The results obtained were as follows. Introducing the second derivative into Lotka-Volterra equation gave the square of change rate of the number of predators and that of prey. Since the square of change rate gave positive value, the following two inequalities were given. (1) Change acceleration of the number of prey per prey was higher than the product of -β and change rate of the number of predators. (2) Change acceleration of the number of predators per predator was higher than the product of 5 and change rate of the number of prey. These two might be related to the change in the number of predators and prey. It was suggested from the present study that investigating dynamics of Lotka-Volterra equation gave inequalities showing some change aspects of predator-prey relationships.