African Journal of
Agricultural Research

  • Abbreviation: Afr. J. Agric. Res.
  • Language: English
  • ISSN: 1991-637X
  • DOI: 10.5897/AJAR
  • Start Year: 2006
  • Published Articles: 6576

Full Length Research Paper

Mathematical models to estimate leaf area of citrus genotypes

Alexandre Dias Dutra
  • Alexandre Dias Dutra
  • University of Pelotas, Faculty of Agronomy "Eliseu Maciel", Cx. Postal 354, CEP 96001-970 Capão do Leão, RS, Brasil.
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Maurício Antonio Coelho Filho
  • Maurício Antonio Coelho Filho
  • Embrapa Cassava and Fruits, Cx. Postal 007, CEP 44380-000 Cruz das Almas, BA, Brasil.
  • Google Scholar
Amábili Gunes Viana Pissinato
  • Amábili Gunes Viana Pissinato
  • PIBIC Trainee at Embrapa Cassava and Fruits, Cruz das Almas, BA, Brasil.
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Abelmon da Silva Gesteira
  • Abelmon da Silva Gesteira
  • Embrapa Cassava and Fruits, Cx. Postal 007, CEP 44380-000 Cruz das Almas, BA, Brasil.
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Walter dos Santos Soares Filho
  • Walter dos Santos Soares Filho
  • Embrapa Cassava and Fruits, Cx. Postal 007, CEP 44380-000 Cruz das Almas, BA, Brasil.
  • Google Scholar
Marilene Fancelli
  • Marilene Fancelli
  • Embrapa Cassava and Fruits, Cx. Postal 007, CEP 44380-000 Cruz das Almas, BA, Brasil.
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  •  Received: 26 October 2016
  •  Accepted: 21 November 2016
  •  Published: 12 January 2017

Abstract

Mathematical models were developed, using 22 different genotypes of citrus, to estimate leaf area. The information of the relationship between leaf length and width (L/W)2 for simple leaf blade form (eliptic, ovate, obovate, lanceolate); and length of the three folioles (L2+L3)/L1 for a compound leaf (trifoliate leaves), was used with the purpose to separate group of similarities of leaf blade form and promote high accuracy of estimate. The best models presented an excellent precision with errors varying from 1.2 to 6.2 (%) and r2 higher than 0.95 for the majority of the models tested. Considering a single leaf blade, the linear model (Y = β . L . W) presented the lower mean deviation and lower square deviation. For the compound leaves, the potential models are simple to use, since use only the information of length of central foliole L1 (Y= β L1µ), although the use of linear models gave the best precision, as observed by using the model Y = β . L1 . W1. Furthermore the model might be used as a single model independent of the relation (L2+L3)/L1∶ {Y=β⋅(L1⋅W1 + L2⋅W2 + L3⋅W3), r² = 0.98}.

Key words: Citrus, compound leaf, hybrids, leaf area modeling.