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Scale-Invariance Of Normalized Yearly Mean Grain Yield Anomaly Series

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  • RICARDO DAVID VALDEZ-CEPEDA

    (Universidad Autónoma Chapingo, Centro Regional Universitario Centro Norte, Apdo., Postal 196, CP 98001, Zacatecas, Mexico;
    Universidad Autónoma de Zacatecas, Unidad Académica de Matemáticas, Cuerpo Académico de Sistemas Complejos, Calzada Solidaridad esq. Paseo La Bufa, CP 98060, Zacatecas, Mexico)

  • OLIVIA DELGADILLO-RUIZ

    (Universidad Autónoma de Zacatecas, Unidad Académica de Matemáticas, Cuerpo Académico de Sistemas Complejos, Calzada Solidaridad esq. Paseo La Bufa, CP 98060, Zacatecas, Mexico)

  • RAFAEL MAGALLANES-QUINTANAR

    (Universidad Autónoma de Zacatecas, Unidad Académica de Ingeniería, Cuerpo Académico de Sistemas Complejos, Ave. R. López Velarde 801, CP 98000, Zacatecas, Mexico)

  • GERARDO MIRAMONTES-de LEÓN

    (Universidad Autónoma de Zacatecas, Unidad Académica de Ingeniería Eléctrica, Cuerpo Académico de Procesamiento Digital de Señales, Ave. R. López Velarde 801, CP 98000, Zacatecas, Mexico)

  • JOSÉ LUIS GARCÍA-HERNÁNDEZ

    (Centro de Investigaciones Biológicas del Noroeste, S. C. Apdo., Postal 128, CP 23090, La Paz, B.C.S., Mexico)

  • AGUSTÍN ENCISO-MUÑOZ

    (Universidad Autónoma de Zacatecas, Unidad Académica de Física, Cuerpo Académico de Sistemas Complejos, Calzada Solidaridad esq. Paseo La Bufa, CP 98060, Zacatecas, Mexico)

  • BLANCA MENDOZA

    (Universidad Nacional Autónoma de México, Instituto de Geofísica, Departamento de Investigaciones Solares y Planetarias, CP 04510, Ciudad Universitaria, Coyoacán, Mexico)

Abstract

In crop science, tools of non-linear dynamics, fractals, chaos, intermittency and self-organized criticality may be employed and applied to the analysis of spatial variability and temporal behavior of agro-meteorological variables, soil properties, plant attributes, commercial yields, and prices of the agricultural products in order to gain knowledge about underlying complex processes. A search on the occurrence of particular scaling laws in Mexico's normalized yearly mean grain yield anomaly series of maize (Zea maysL.), beans (Phaseolus vulgarisL.), wheat (Triticum aestivumL.) and rice (Oriza sativaL.), using a variography approach is reported in this work. Additionally, power spectrum determination, time-frequency analysis, and estimation of Lyapunov exponent were performed for each profile in order to obtain useful information on the frequency contents and signs at which important frequencies occur as well as to determine their sensitivity to initial conditions. Fractal analysis gives us the order maize

Suggested Citation

  • RICARDO DAVID VALDEZ-CEPEDA & OLIVIA DELGADILLO-RUIZ & RAFAEL MAGALLANES-QUINTANAR & GERARDO MIRAMONTES-de LEÓN & JOSÉ LUIS GARCÍA-HERNÁNDEZ & AGUSTÍN ENCISO-MUÑOZ & BLANCA MENDOZA, 2007. "Scale-Invariance Of Normalized Yearly Mean Grain Yield Anomaly Series," Advances in Complex Systems (ACS), World Scientific Publishing Co. Pte. Ltd., vol. 10(03), pages 395-412.
    • Handle: RePEc:wsi:acsxxx:v:10:y:2007:i:03:n:s0219525907001161
    DOI: 10.1142/S0219525907001161
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