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Volumn 18, Issue 2, 2013, Pages 250-270

A Sequential Monte Carlo Approach for MLE in a Plant Growth Model

Author keywords

Dynamical system; ECM algorithm; Maximum likelihood estimation; Parametric identification; Plant growth model; Sequential Monte Carlo

Indexed keywords

ALGORITHM; DATA ACQUISITION; ESTIMATION METHOD; GROWTH MODELING; IDENTIFICATION METHOD; MARKOV CHAIN; MAXIMUM LIKELIHOOD ANALYSIS; MONTE CARLO ANALYSIS; PLANT;

EID: 84878407799     PISSN: 10857117     EISSN: 15372693     Source Type: Journal    
DOI: 10.1007/s13253-013-0134-1     Document Type: Article
Times cited : (14)

References (35)
  • 1
    • 34247891577 scopus 로고    scopus 로고
    • Plant Architecture: a Dynamic, Multilevel and Comprehensive Approach to Plant Form, Structure and Ontogeny
    • Barthélémy, D., and Caraglio, Y. (2007), "Plant Architecture: a Dynamic, Multilevel and Comprehensive Approach to Plant Form, Structure and Ontogeny," Annals of Botany, 99, 375-407.
    • (2007) Annals of Botany , vol.99 , pp. 375-407
    • Barthélémy, D.1    Caraglio, Y.2
  • 2
    • 0000353178 scopus 로고
    • A Maximization Technique Occurring in the Statistical Analysis of Probabilistic Functions of Markov Chains
    • Baum, L., Petrie, T., Soules, G., and Weiss, N. (1970), "A Maximization Technique Occurring in the Statistical Analysis of Probabilistic Functions of Markov Chains," The Annals of Mathematical Statistics, 41, 164-171.
    • (1970) The Annals of Mathematical Statistics , vol.41 , pp. 164-171
    • Baum, L.1    Petrie, T.2    Soules, G.3    Weiss, N.4
  • 7
    • 0002241694 scopus 로고
    • The SEM Algorithm: A Probabilistic Teacher Algorithm Derived From the eM Algorithm for the Mixture Problem
    • Celeux, G., and Diebolt, J. (1985), "The SEM Algorithm: A Probabilistic Teacher Algorithm Derived From the eM Algorithm for the Mixture Problem," Computational Statistics Quarterly, 2, 73-82.
    • (1985) Computational Statistics Quarterly , vol.2 , pp. 73-82
    • Celeux, G.1    Diebolt, J.2
  • 9
    • 33750484269 scopus 로고    scopus 로고
    • Structural Factorization of Plants to Compute Their Functional and Architectural Growth
    • Cournède, P.-H., Kang, M., Mathieu, A., Barczi, J.-F., Yan, H., Hu, B., and de Reffye, P. (2006), "Structural Factorization of Plants to Compute Their Functional and Architectural Growth," Simulation, 82, 427-438.
    • (2006) Simulation , vol.82 , pp. 427-438
    • Cournède, P.-H.1    Kang, M.2    Mathieu, A.3    Barczi, J.-F.4    Yan, H.5    Hu, B.6    de Reffye, P.7
  • 11
    • 5044235776 scopus 로고    scopus 로고
    • Relevant Choices in Botany and Mathematics for Building Efficient Dynamic Plant Growth Models: The GreenLab Case
    • B. Hu and M. Jaeger (Eds.), Berlin: Tsinghua Univ. Press and Springer
    • de Reffye, P., and Hu, B. (2003), "Relevant Choices in Botany and Mathematics for Building Efficient Dynamic Plant Growth Models: The GreenLab Case," in Plant Growth Models and Applications, eds. B. Hu and M. Jaeger, Berlin: Tsinghua Univ. Press and Springer, pp. 87-107.
    • (2003) Plant Growth Models and Applications , pp. 87-107
    • de Reffye, P.1    Hu, B.2
  • 12
    • 0033243858 scopus 로고    scopus 로고
    • Convergence of a Stochastic Approximation Version of the EM Algorithm
    • Delyon, B., Lavielle, V., and Moulines, E. (1999), "Convergence of a Stochastic Approximation Version of the EM Algorithm," The Annals of Statistics, 27, 94-128.
    • (1999) The Annals of Statistics , vol.27 , pp. 94-128
    • Delyon, B.1    Lavielle, V.2    Moulines, E.3
  • 14
    • 0042358780 scopus 로고    scopus 로고
    • Convergence of the Monte Carlo Expectation Maximization for Curved Exponential Families
    • Fort, G., and Moulines, E. (2003), "Convergence of the Monte Carlo Expectation Maximization for Curved Exponential Families," The Annals of Statistics, 1220-1259.
    • (2003) The Annals of Statistics , pp. 1220-1259
    • Fort, G.1    Moulines, E.2
  • 16
    • 31744441850 scopus 로고    scopus 로고
    • Parameter Optimization and Field Validation of the Functional-Structural Model GreenLab for Maize
    • Guo, Y., Ma, Y., Zhan, Z., Li, B., Dingkuhn, M., Luquet, D., and de Reffye, P. (2006), "Parameter Optimization and Field Validation of the Functional-Structural Model GreenLab for Maize," Annals of Botany, 97, 217-230.
    • (2006) Annals of Botany , vol.97 , pp. 217-230
    • Guo, Y.1    Ma, Y.2    Zhan, Z.3    Li, B.4    Dingkuhn, M.5    Luquet, D.6    de Reffye, P.7
  • 17
    • 84874286884 scopus 로고
    • Monte Carlo Techniques to Estimate the Conditional Expectation in Multistage Nonlinear Filtering
    • Handschin, J., and Mayne, D. (1969), "Monte Carlo Techniques to Estimate the Conditional Expectation in Multistage Nonlinear Filtering," International Journal of Control, 9, 547-559.
    • (1969) International Journal of Control , vol.9 , pp. 547-559
    • Handschin, J.1    Mayne, D.2
  • 18
    • 84977709229 scopus 로고
    • The Pricing of Options on Assets With Stochastic Volatilities
    • Hull, J., and White, A. (1987), "The Pricing of Options on Assets With Stochastic Volatilities," Journal of Finance, 42, 281-300.
    • (1987) Journal of Finance , vol.42 , pp. 281-300
    • Hull, J.1    White, A.2
  • 20
    • 79954488537 scopus 로고    scopus 로고
    • Characterisation of the Interactions Between Architecture and Source: Sink Relationships in Winter Oilseed Rape (brassica napus l.) Using the GreenLab Model
    • Jullien, A., Mathieu, A., Allirand, J.-M., Pinet, A., de Reffye, P., Cournède, P.-H., and Ney, B. (2011), "Characterisation of the Interactions Between Architecture and Source: Sink Relationships in Winter Oilseed Rape (brassica napus l.) Using the GreenLab Model," Annals of Botany, 107, 765-779.
    • (2011) Annals of Botany , vol.107 , pp. 765-779
    • Jullien, A.1    Mathieu, A.2    Allirand, J.-M.3    Pinet, A.4    de Reffye, P.5    Cournède, P.-H.6    Ney, B.7
  • 21
    • 0042564253 scopus 로고    scopus 로고
    • Monte Carlo Smoothing and Self-Organising State-Space Model
    • A. Doucet, N. Freitasde, and N. Gordon (Eds.), New York: Springer
    • Kitagawa, G., and Sato, S. (2001), "Monte Carlo Smoothing and Self-Organising State-Space Model," in Sequential Monte Carlo Methods in Practice, eds. A. Doucet, N. de Freitas and N. Gordon, New York: Springer, pp. 178-195.
    • (2001) Sequential Monte Carlo Methods in Practice , pp. 178-195
    • Kitagawa, G.1    Sato, S.2
  • 25
    • 66249146371 scopus 로고    scopus 로고
    • A Dynamic Model of Plant Growth With Interactions Between Development and Functional Mechanisms to Study Plant Structural Plasticity Related to Trophic Competition
    • Mathieu, A., Cournède, P.-H., Letort, V., Barthélémy, D., and de Reffye, P. (2009), "A Dynamic Model of Plant Growth With Interactions Between Development and Functional Mechanisms to Study Plant Structural Plasticity Related to Trophic Competition," Annals of Botany, 103, 1173-1186.
    • (2009) Annals of Botany , vol.103 , pp. 1173-1186
    • Mathieu, A.1    Cournède, P.-H.2    Letort, V.3    Barthélémy, D.4    de Reffye, P.5
  • 27
    • 0000251971 scopus 로고
    • Maximum Likelihood Estimation Via the ECM Algorithm: A General Framework
    • Meng, X.-L., and Rubin, D. B. (1993), "Maximum Likelihood Estimation Via the ECM Algorithm: A General Framework," Biometrika, 80, 267-278.
    • (1993) Biometrika , vol.80 , pp. 267-278
    • Meng, X.-L.1    Rubin, D.B.2
  • 28
    • 41449089271 scopus 로고    scopus 로고
    • Sequential Monte Carlo Smoothing With Application to Parameter Estimation in Nonlinear State Space Models
    • Olsson, J., Cappé, O., Douc, R., and Moulines, E. (2006), "Sequential Monte Carlo Smoothing With Application to Parameter Estimation in Nonlinear State Space Models," Bernoulli, 14, 155-179.
    • (2006) Bernoulli , vol.14 , pp. 155-179
    • Olsson, J.1    Cappé, O.2    Douc, R.3    Moulines, E.4
  • 30
    • 0000495560 scopus 로고
    • Small Sample Properties of a Class of Two-Stage Aitken Estimator
    • Taylor, W. (1977), "Small Sample Properties of a Class of Two-Stage Aitken Estimator," Econometrica, 45, 497-508.
    • (1977) Econometrica , vol.45 , pp. 497-508
    • Taylor, W.1
  • 31
    • 0002549576 scopus 로고
    • Ecological Data on Dry Matter Production by Plants and Plant Communities
    • E. Bradley and O. Denmead (Eds.), New York: Interscience Publishers
    • Warren-Wilson, J. (1967), "Ecological Data on Dry Matter Production by Plants and Plant Communities," in The Collection and Processing of Field Data, eds. E. Bradley and O. Denmead, New York: Interscience Publishers, pp. 77-123.
    • (1967) The Collection and Processing of Field Data , pp. 77-123
    • Warren-Wilson, J.1
  • 32
    • 84950432017 scopus 로고
    • A Monte Carlo Implementation of the EM Algorithm and the Poor Man's Data Augmentation Algorithms
    • Wei, G., and Tanner, M. (1990), "A Monte Carlo Implementation of the EM Algorithm and the Poor Man's Data Augmentation Algorithms," Journal of the American Statistical Association, 85, 699-704.
    • (1990) Journal of the American Statistical Association , vol.85 , pp. 699-704
    • Wei, G.1    Tanner, M.2
  • 33
    • 0002210265 scopus 로고
    • On the Convergence Properties of EM Algorithm
    • Wu, C. (1983), "On the Convergence Properties of EM Algorithm," The Annals of Statistics, 11, 95-103.
    • (1983) The Annals of Statistics , vol.11 , pp. 95-103
    • Wu, C.1
  • 34


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.