{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,24]],"date-time":"2025-12-24T14:48:06Z","timestamp":1766587686469},"reference-count":30,"publisher":"World Scientific Pub Co Pte Lt","issue":"03","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Advs. Complex Syst."],"published-print":{"date-parts":[[2007,9]]},"abstract":"<jats:p>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 mays L.), beans (Phaseolus vulgaris L.), wheat (Triticum aestivum L.) and rice (Oriza sativa L.), 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 &lt; wheat &lt; rice &lt; beans of sensitivity to external forcings, which was the same as that obtained through the Lyapunov exponent values. Results confirm that the final outputs (crop yields) in agricultural systems are affected by the magnetic and sunspot cycles of the Sun, the El Ni\u00f1o Southern Oscillation (ENSO), and the quasi-biannual oscillation, and possibly by the so-called heliospheric mid-term-quasi-periodicities, which act on different time (or spatial and spatial-time) scales. In particular, the maize normalized year anomaly series is clearly correlated with March, April, May and June series of the ENSO index.<\/jats:p>","DOI":"10.1142\/s0219525907001161","type":"journal-article","created":{"date-parts":[[2007,10,26]],"date-time":"2007-10-26T10:16:47Z","timestamp":1193393807000},"page":"395-412","source":"Crossref","is-referenced-by-count":2,"title":["SCALE-INVARIANCE OF NORMALIZED YEARLY MEAN GRAIN YIELD ANOMALY SERIES"],"prefix":"10.1142","volume":"10","author":[{"given":"RICARDO DAVID","family":"VALDEZ-CEPEDA","sequence":"first","affiliation":[{"name":"Universidad Aut\u00f3noma Chapingo, Centro Regional Universitario Centro Norte, Apdo., Postal 196, CP 98001, Zacatecas, Mexico"},{"name":"Universidad Aut\u00f3noma de Zacatecas, Unidad Acad\u00e9mica de Matem\u00e1ticas, Cuerpo Acad\u00e9mico de Sistemas Complejos, Calzada Solidaridad esq. Paseo La Bufa, CP 98060, Zacatecas, Mexico"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"OLIVIA","family":"DELGADILLO-RUIZ","sequence":"additional","affiliation":[{"name":"Universidad Aut\u00f3noma de Zacatecas, Unidad Acad\u00e9mica de Matem\u00e1ticas, Cuerpo Acad\u00e9mico de Sistemas Complejos, Calzada Solidaridad esq. Paseo La Bufa, CP 98060, Zacatecas, Mexico"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"RAFAEL","family":"MAGALLANES-QUINTANAR","sequence":"additional","affiliation":[{"name":"Universidad Aut\u00f3noma de Zacatecas, Unidad Acad\u00e9mica de Ingenier\u00eda, Cuerpo Acad\u00e9mico de Sistemas Complejos, Ave. R. L\u00f3pez Velarde 801, CP 98000, Zacatecas, Mexico"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"GERARDO","family":"MIRAMONTES-de LE\u00d3N","sequence":"additional","affiliation":[{"name":"Universidad Aut\u00f3noma de Zacatecas, Unidad Acad\u00e9mica de Ingenier\u00eda El\u00e9ctrica, Cuerpo Acad\u00e9mico de Procesamiento Digital de Se\u00f1ales, Ave. R. L\u00f3pez Velarde 801, CP 98000, Zacatecas, Mexico"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"JOS\u00c9 LUIS","family":"GARC\u00cdA-HERN\u00c1NDEZ","sequence":"additional","affiliation":[{"name":"Centro de Investigaciones Biol\u00f3gicas del Noroeste, S. C. Apdo., Postal 128, CP 23090, La Paz, B.C.S., Mexico"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"AGUST\u00cdN","family":"ENCISO-MU\u00d1OZ","sequence":"additional","affiliation":[{"name":"Universidad Aut\u00f3noma de Zacatecas, Unidad Acad\u00e9mica de F\u00edsica, Cuerpo Acad\u00e9mico de Sistemas Complejos, Calzada Solidaridad esq. Paseo La Bufa, CP 98060, Zacatecas, Mexico"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"BLANCA","family":"MENDOZA","sequence":"additional","affiliation":[{"name":"Universidad Nacional Aut\u00f3noma de M\u00e9xico, Instituto de Geof\u00edsica, Departamento de Investigaciones Solares y Planetarias, CP 04510, Ciudad Universitaria, Coyoac\u00e1n, Mexico"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2012,4,29]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1016\/S0168-1923(00)00166-0"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1016\/0378-4290(94)90064-7"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1016\/0378-4290(95)00049-6"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1190\/1.1440265"},{"key":"rf5","doi-asserted-by":"crossref","first-page":"347","DOI":"10.2134\/jpa1996.0347","volume":"9","author":"Carlson R. E.","journal-title":"J. Prod. Agric."},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1111\/j.1574-0862.2002.tb00104.x"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.70.3872"},{"key":"rf8","first-page":"1999","volume":"35","author":"Dong L.","journal-title":"Adv. Space Res."},{"key":"rf9","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-61086-8"},{"key":"rf10","doi-asserted-by":"publisher","DOI":"10.1103\/RevModPhys.57.617"},{"key":"rf11","volume":"3","author":"Faust O.","journal-title":"BioMedical Engineering Online"},{"key":"rf13","doi-asserted-by":"publisher","DOI":"10.1175\/1520-0442(1998)011<0404:EIOAIT>2.0.CO;2"},{"key":"rf14","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.54.2154"},{"key":"rf15","doi-asserted-by":"publisher","DOI":"10.1016\/0375-9601(94)90991-1"},{"key":"rf16","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.45.3403"},{"key":"rf17","doi-asserted-by":"publisher","DOI":"10.1080\/10260220290013507"},{"key":"rf18","doi-asserted-by":"publisher","DOI":"10.1023\/A:1022980029618"},{"key":"rf19","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.49.1685"},{"key":"rf20","unstructured":"S. G.\u00a0Philander, El Ni\u00f1o, La Ni\u00f1a, and the Southern Oscillation (Academic Press, 1990)\u00a0p. 293."},{"key":"rf21","doi-asserted-by":"publisher","DOI":"10.1016\/0167-2789(93)90009-P"},{"key":"rf26","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511573149.004"},{"key":"rf27","doi-asserted-by":"publisher","DOI":"10.1002\/1097-0088(20001115)20:13<1543::AID-JOC579>3.0.CO;2-A"},{"key":"rf29","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.91.211101"},{"key":"rf30","doi-asserted-by":"publisher","DOI":"10.1016\/0168-1923(93)90070-X"},{"key":"rf31","doi-asserted-by":"publisher","DOI":"10.1016\/S0378-4290(98)00108-7"},{"key":"rf32","doi-asserted-by":"publisher","DOI":"10.1142\/S0218348X03002208"},{"key":"rf33","volume-title":"2nd Assessment Report of the IPCC","author":"Watson R.","year":"1996"},{"key":"rf34","doi-asserted-by":"crossref","first-page":"70","DOI":"10.1109\/TAU.1967.1161901","volume":"15","author":"Welch P. D.","journal-title":"IEEE Trans. Audio Electro."},{"key":"rf35","doi-asserted-by":"publisher","DOI":"10.1016\/0167-2789(85)90011-9"},{"key":"rf36","doi-asserted-by":"publisher","DOI":"10.1002\/joc.714"}],"container-title":["Advances in Complex Systems"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0219525907001161","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,8,26]],"date-time":"2021-08-26T07:41:19Z","timestamp":1629963679000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0219525907001161"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2007,9]]},"references-count":30,"journal-issue":{"issue":"03","published-online":{"date-parts":[[2012,4,29]]},"published-print":{"date-parts":[[2007,9]]}},"alternative-id":["10.1142\/S0219525907001161"],"URL":"https:\/\/doi.org\/10.1142\/s0219525907001161","relation":{},"ISSN":["0219-5259","1793-6802"],"issn-type":[{"value":"0219-5259","type":"print"},{"value":"1793-6802","type":"electronic"}],"subject":[],"published":{"date-parts":[[2007,9]]}}}