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Erschienen in: Soft Computing 3/2014

01.03.2014 | Methodologies and Application

Root growth model: a novel approach to numerical function optimization and simulation of plant root system

verfasst von: Hao Zhang, Yunlong Zhu, Hanning Chen

Erschienen in: Soft Computing | Ausgabe 3/2014

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Abstract

This paper presents a general optimization model gleaned ideas from root growth behaviours in the soil. The purpose of the study is to investigate a novel biologically inspired methodology for complex system modelling and computation, particularly for optimization of higher-dimensional numerical function. For this study, a mathematical framework and architecture are designed to model root growth patterns of plant. Under this architecture, the interactions between the soil and root growth are investigated. A novel approach called “root growth algorithm” (RGA) is derived in the framework and simulation studies are undertaken to evaluate this algorithm. The simulation results show that the proposed model can reflect the root growth behaviours of plant in the soil and the numerical results also demonstrate RGA is a powerful search and optimization technique for higher-dimensional numerical function optimization.

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Literatur
Zurück zum Zitat Cai W, Yang W, Chen X (2008) A global optimization algorithm based on plant growth theory: plant growth optimization. Int Conf Intell Comput Technol Autom (ICICTA) 1:1194–1199 Cai W, Yang W, Chen X (2008) A global optimization algorithm based on plant growth theory: plant growth optimization. Int Conf Intell Comput Technol Autom (ICICTA) 1:1194–1199
Zurück zum Zitat Corne D, Dorigo M, Glover F (1999) New ideas in optimization. McGraw-Hill, New York Corne D, Dorigo M, Glover F (1999) New ideas in optimization. McGraw-Hill, New York
Zurück zum Zitat De Castro LN, Von Zuben FJ (1999) Artificial immune systems, Part I. Basic theory and applications, Technical Report Rt Dca 01/99, Feec/Unicamp De Castro LN, Von Zuben FJ (1999) Artificial immune systems, Part I. Basic theory and applications, Technical Report Rt Dca 01/99, Feec/Unicamp
Zurück zum Zitat Dorigo M, Maniezzo V, Colorni A (1991) Positive feedback as a search strategy, Technical Report 91-016. Dipartimento di Elettronica, Politecnico di Milano Dorigo M, Maniezzo V, Colorni A (1991) Positive feedback as a search strategy, Technical Report 91-016. Dipartimento di Elettronica, Politecnico di Milano
Zurück zum Zitat Eberhart RC, Shi Y, Kennedy J (2001) Swarm intelligence. Morgan Kaufmann, Massachusetts Eberhart RC, Shi Y, Kennedy J (2001) Swarm intelligence. Morgan Kaufmann, Massachusetts
Zurück zum Zitat Fogel LJ, Owens AJ, Walsh MJ (1965) Artificial intelligence through a simulation of evolution. In: Maxfield M, Callahan A, Fogel LJ (eds) Biophysics and cybernetic systems. Proceedings of the 2nd cybernetic sciences symposium. Spartan Books, pp 131–155 Fogel LJ, Owens AJ, Walsh MJ (1965) Artificial intelligence through a simulation of evolution. In: Maxfield M, Callahan A, Fogel LJ (eds) Biophysics and cybernetic systems. Proceedings of the 2nd cybernetic sciences symposium. Spartan Books, pp 131–155
Zurück zum Zitat Gerwitz A, Page ER (1974) An empirical mathematical model to describe plant root systems. J Appl Ecol 11(2):773–781CrossRef Gerwitz A, Page ER (1974) An empirical mathematical model to describe plant root systems. J Appl Ecol 11(2):773–781CrossRef
Zurück zum Zitat Holland JH (1975) Adaptation in natural and artificial systems. University of Michigan Press, Ann Arbor Holland JH (1975) Adaptation in natural and artificial systems. University of Michigan Press, Ann Arbor
Zurück zum Zitat Karaboga D, Basturk B (2008) On the performance of artificial bee colony (ABC) algorithm. Appl Soft Comput 8(1):687–697CrossRef Karaboga D, Basturk B (2008) On the performance of artificial bee colony (ABC) algorithm. Appl Soft Comput 8(1):687–697CrossRef
Zurück zum Zitat Kennedy J, Eberhart RC (1995) IEEE international conference on neural networks, vol 4, pp 1942–1948 Kennedy J, Eberhart RC (1995) IEEE international conference on neural networks, vol 4, pp 1942–1948
Zurück zum Zitat Krink T, Vestertroem JS, Riget J (2002) Particle swarm optimization with spatial particle extension. In: Proceedings of the IEEE congress on evolutionary computation, Honolulu, pp 1474–1479 Krink T, Vestertroem JS, Riget J (2002) Particle swarm optimization with spatial particle extension. In: Proceedings of the IEEE congress on evolutionary computation, Honolulu, pp 1474–1479
Zurück zum Zitat Leitner D, Klepsch S, Bodner G, Schnepf A (2010) A dynamic root system growth model based on L-Systems. Plant Soil 332:177–192CrossRef Leitner D, Klepsch S, Bodner G, Schnepf A (2010) A dynamic root system growth model based on L-Systems. Plant Soil 332:177–192CrossRef
Zurück zum Zitat Lynch J (2007) Roots of the second green revolution. Aust J Bot 55(5):493–512CrossRef Lynch J (2007) Roots of the second green revolution. Aust J Bot 55(5):493–512CrossRef
Zurück zum Zitat Mainzer K (1997) Thinking in complexity: the complex dynamics of matter, mind and mankind, 3rd edn. Springer, New YorkCrossRef Mainzer K (1997) Thinking in complexity: the complex dynamics of matter, mind and mankind, 3rd edn. Springer, New YorkCrossRef
Zurück zum Zitat Pages L, Jordan MO, Picard D (1989) A simulation model of the three-dimensional architecture of the maize root system. Plant Soil 119:147–154 Pages L, Jordan MO, Picard D (1989) A simulation model of the three-dimensional architecture of the maize root system. Plant Soil 119:147–154
Zurück zum Zitat Price K, Storn R (1995) Differential evolution—a simple and efficient adaptive scheme for global optimization over continuous spaces. Technical Report. International Computer Science Institute, Berkley Price K, Storn R (1995) Differential evolution—a simple and efficient adaptive scheme for global optimization over continuous spaces. Technical Report. International Computer Science Institute, Berkley
Zurück zum Zitat Sheng WD, Lei C (1995) Fractal and their applications. Publishing Company of University of Science and Technology of China, Beijing Sheng WD, Lei C (1995) Fractal and their applications. Publishing Company of University of Science and Technology of China, Beijing
Zurück zum Zitat Shi Y, Eberhart RC (1999) Empirical study of particle swarm optimization. In: Proceedings of the IEEE congress on evolutionary computation, Washington, DC, pp 1945–1950 Shi Y, Eberhart RC (1999) Empirical study of particle swarm optimization. In: Proceedings of the IEEE congress on evolutionary computation, Washington, DC, pp 1945–1950
Zurück zum Zitat Shi Y, Ebrehart RC (1998) A modified particle swarm optimizer. In: Proceeding of the IEEE international conference on computational intelligence, Anchorage, pp 69–73 Shi Y, Ebrehart RC (1998) A modified particle swarm optimizer. In: Proceeding of the IEEE international conference on computational intelligence, Anchorage, pp 69–73
Zurück zum Zitat Tong L, Feng WC, Bo WW, Ling SW (2005) A global optimization bionics algorithm for solving integer programming—plant growth simulation algorithm. Syst Eng 25(1):76–85 Tong L, Feng WC, Bo WW, Ling SW (2005) A global optimization bionics algorithm for solving integer programming—plant growth simulation algorithm. Syst Eng 25(1):76–85
Zurück zum Zitat Valdez F, Melin P, Castillo O (2011) An improved evolutionary method with fuzzy logic for combining Particle swarm optimization and genetic algorithms. Appl Soft Comput 11(2):2625–2632CrossRef Valdez F, Melin P, Castillo O (2011) An improved evolutionary method with fuzzy logic for combining Particle swarm optimization and genetic algorithms. Appl Soft Comput 11(2):2625–2632CrossRef
Zurück zum Zitat Vesterstrom J, Thomsen R (2004) A comparative study of differential evolution particle swarm optimization and evolutionary algorithms on numerical benchmark problems. In: IEEE congress on evolutionary computation (CEC’2004), vol 3, Piscataway, pp 1980–1987 Vesterstrom J, Thomsen R (2004) A comparative study of differential evolution particle swarm optimization and evolutionary algorithms on numerical benchmark problems. In: IEEE congress on evolutionary computation (CEC’2004), vol 3, Piscataway, pp 1980–1987
Zurück zum Zitat White PJ, Broadley MR, Greenwood DJ, Hammond JP (2005) Genetic modifications to improve phosphorus acquisition by roots. IFS, Proceedings of the International Fertiliser Society, York White PJ, Broadley MR, Greenwood DJ, Hammond JP (2005) Genetic modifications to improve phosphorus acquisition by roots. IFS, Proceedings of the International Fertiliser Society, York
Metadaten
Titel
Root growth model: a novel approach to numerical function optimization and simulation of plant root system
verfasst von
Hao Zhang
Yunlong Zhu
Hanning Chen
Publikationsdatum
01.03.2014
Verlag
Springer Berlin Heidelberg
Erschienen in
Soft Computing / Ausgabe 3/2014
Print ISSN: 1432-7643
Elektronische ISSN: 1433-7479
DOI
https://doi.org/10.1007/s00500-013-1073-z

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