Chaotic attractors captured from remote sensing time series for the dynamics of cereal crops

被引:2
作者
Mangiarotti, Sylvain [1 ]
Le Jean, Flavie [1 ]
机构
[1] CNRS UPS CNES IRD, Ctr Etud Spatiales Biosphere, Observ Midi Pyrenees, 18 Ave Edouard Belin, F-31401 Toulouse, France
关键词
NDVI; vegetation cycle; global modelling; determinism; complexity; unpredictability; VECTOR-FIELD RECONSTRUCTION; NDVI DATA; EQUATION; MODELS; PREDICTABILITY; SUSPENSION; AFRICA; CYCLES; SYSTEM; MAP;
D O I
10.1080/10236198.2022.2152336
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
A chaotic attractor was obtained from remote sensing data, for the first time, in the early 2010s, its Poincare section revealing a weakly dissipative dynamics. This attractor was captured from a time series of vegetation index, for the cycles of cereal crops in semi-arid region. This attractor was fully unexpected, since it was also the first attractor of a weakly dissipative dynamics directly extracted from observational time series. The generality of this result is questioned here by applying the same modelling approach - the global modelling technique - to four provinces in coastal and inland Morocco: Safi, El Jadida, Khourigba and Khenifra. Several experimentations are considered, applying the analyses at the provinces scale, or to several provinces in association and in aggregation. The obtained models confirm the results obtained in the early 2010s: the dynamics of cereal crops is chaotic and can be approximated by a weakly dissipative three-dimensional dynamics.
引用
收藏
页码:1480 / 1502
页数:23
相关论文
共 66 条
  • [51] EQUATION FOR HYPERCHAOS
    ROSSLER, OE
    [J]. PHYSICS LETTERS A, 1979, 71 (2-3) : 155 - 157
  • [52] CHAOTIC BEHAVIOR IN SIMPLE REACTION SYSTEMS
    ROSSLER, OE
    [J]. ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 1976, 31 (3-4): : 259 - 264
  • [53] EQUATION FOR CONTINUOUS CHAOS
    ROSSLER, OE
    [J]. PHYSICS LETTERS A, 1976, 57 (05) : 397 - 398
  • [54] DIFFERENT TYPES OF CHAOS IN 2 SIMPLE DIFFERENTIAL-EQUATIONS
    ROSSLER, OE
    [J]. ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES, 1976, 31 (12): : 1664 - 1670
  • [55] Global models for 222Rn and CO2 concentrations in the Cave of Altamira
    Saez, M.
    Mangiarotti, S.
    Cuezva, S.
    Fernandez-Cortes, A.
    Molero, B.
    Sanchez-Moral, S.
    Benavente, D.
    [J]. THEORETICAL AND APPLIED CLIMATOLOGY, 2021, 143 (1-2) : 603 - 626
  • [56] SALTZMAN B, 1962, J ATMOS SCI, V19, P329, DOI 10.1175/1520-0469(1962)019<0329:FAFCAA>2.0.CO
  • [57] 2
  • [58] EMBEDOLOGY
    SAUER, T
    YORKE, JA
    CASDAGLI, M
    [J]. JOURNAL OF STATISTICAL PHYSICS, 1991, 65 (3-4) : 579 - 616
  • [59] SOME SIMPLE CHAOTIC FLOWS
    SPROTT, JC
    [J]. PHYSICAL REVIEW E, 1994, 50 (02): : R647 - R650
  • [60] A suspension of the Henon map by periodic orbits
    Starrett, John
    Nicholas, Craig
    [J]. CHAOS SOLITONS & FRACTALS, 2012, 45 (12) : 1486 - 1493