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Testing For Intrinsic Multifractality In The Global Grain Spot Market Indices: A Multifractal Detrended Fluctuation Analysis

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  • LI WANG

    (School of Business, East China University of Science and Technology, Shanghai 200237, P. R. China†Research Center for Econophysics, East China University of Science and Technology, Shanghai 200237, P. R. China‡International Elite Engineering School, East China University of Science and Technology, Shanghai 200237, P. R. China)

  • XING-LU GAO

    (School of Business, East China University of Science and Technology, Shanghai 200237, P. R. China)

  • WEI-XING ZHOU

    (School of Business, East China University of Science and Technology, Shanghai 200237, P. R. China†Research Center for Econophysics, East China University of Science and Technology, Shanghai 200237, P. R. China§School of Mathematics, East China University of Science and Technology, Shanghai 200237, P. R. China)

Abstract

Grains account for more than 50% of the calories consumed by people worldwide, and military conflicts, pandemics, climate change, and soaring grain prices all have vital impacts on food security. However, the complex price behavior of the global grain spot markets has not been well understood. A recent study performed multifractal moving average analysis (MF-DMA) of the Grains & Oilseeds Index (GOI) and its sub-indices of wheat, maize, soybeans, rice, and barley and it was found that only the maize and barley sub-indices exhibit an intrinsic multifractal nature with convincing evidence. Here, we utilize multifractal fluctuation analysis (MF-DFA) to investigate the same problem. Extensive statistical tests confirm the presence of intrinsic multifractality in the maize and barley sub-indices and the absence of intrinsic multifractality in the wheat and rice sub-indices. Different from the MF-DMA results, the MF-DFA results suggest that there is also intrinsic multifractality in the GOI and soybeans sub-indices. Our comparative analysis does not provide conclusive information about the GOI and soybeans and highlights the high complexity of the global grain spot markets.

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  • Li Wang & Xing-Lu Gao & Wei-Xing Zhou, 2023. "Testing For Intrinsic Multifractality In The Global Grain Spot Market Indices: A Multifractal Detrended Fluctuation Analysis," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 31(07), pages 1-24.
    • Handle: RePEc:wsi:fracta:v:31:y:2023:i:07:n:s0218348x23500901
    DOI: 10.1142/S0218348X23500901
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    1. Jiang, Zhi-Qiang & Zhou, Wei-Xing, 2008. "Multifractal analysis of Chinese stock volatilities based on the partition function approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(19), pages 4881-4888.
    2. Wei-Xing Zhou, 2009. "The components of empirical multifractality in financial returns," Papers 0908.1089, arXiv.org, revised Oct 2009.
    3. He, Ling-Yun & Chen, Shu-Peng, 2010. "Are developed and emerging agricultural futures markets multifractal? A comparative perspective," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(18), pages 3828-3836.
    4. Kaushik Matia & Yosef Ashkenazy & H. Eugene Stanley, 2003. "Multifractal Properties of Price Fluctuations of Stocks and Commodities," Papers cond-mat/0308012, arXiv.org.
    5. Bouët, Antoine & Laborde Debucquet, David, 2017. "Food crisis and export taxation: The cost of noncooperative trade policies:," IFPRI book chapters, in: Bouët, Antoine & Laborde Debucquet, David (ed.), Agriculture, development, and the global trading system: 2000– 2015, chapter 12, International Food Policy Research Institute (IFPRI).
    6. Chen, Shu-Peng & He, Ling-Yun, 2010. "Multifractal spectrum analysis of nonlinear dynamical mechanisms in China’s agricultural futures markets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 389(7), pages 1434-1444.
    7. Jaros{l}aw Kwapie'n & Pawel Blasiak & Stanis{l}aw Dro.zd.z & Pawe{l} O'swik{e}cimka, 2022. "Genuine multifractality in time series is due to temporal correlations," Papers 2211.00728, arXiv.org, revised Mar 2023.
    8. Qian, Xi-Yuan & Gu, Gao-Feng & Zhou, Wei-Xing, 2011. "Modified detrended fluctuation analysis based on empirical mode decomposition for the characterization of anti-persistent processes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(23), pages 4388-4395.
    9. He, Ling-Yun & Chen, Shu-Peng, 2011. "Multifractal Detrended Cross-Correlation Analysis of agricultural futures markets," Chaos, Solitons & Fractals, Elsevier, vol. 44(6), pages 355-361.
    10. Kwapień, J. & Oświe¸cimka, P. & Drożdż, S., 2005. "Components of multifractality in high-frequency stock returns," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 350(2), pages 466-474.
    11. Headey, Derek, 2011. "Rethinking the global food crisis: The role of trade shocks," Food Policy, Elsevier, vol. 36(2), pages 136-146, April.
    12. Pawe{l} O'swik{e}cimka & Stanis{l}aw Dro.zd.z & Mattia Frasca & Robert Gk{e}barowski & Natsue Yoshimura & Luciano Zunino & Ludovico Minati, 2020. "Wavelet-based discrimination of isolated singularities masquerading as multifractals in detrended fluctuation analyses," Papers 2004.03319, arXiv.org.
    13. Zhou, Wei-Xing, 2012. "Finite-size effect and the components of multifractality in financial volatility," Chaos, Solitons & Fractals, Elsevier, vol. 45(2), pages 147-155.
    14. Jiang, Zhi-Qiang & Zhou, Wei-Xing, 2008. "Multifractality in stock indexes: Fact or Fiction?," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(14), pages 3605-3614.
    15. Kim, Hongseok & Oh, Gabjin & Kim, Seunghwan, 2011. "Multifractal analysis of the Korean agricultural market," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(23), pages 4286-4292.
    16. T. Di Matteo, 2007. "Multi-scaling in finance," Quantitative Finance, Taylor & Francis Journals, vol. 7(1), pages 21-36.
    17. Delbianco, Fernando & Tohmé, Fernando & Stosic, Tatijana & Stosic, Borko, 2016. "Multifractal behavior of commodity markets: Fuel versus non-fuel products," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 457(C), pages 573-580.
    18. Gao, Xing-Lu & Shao, Ying-Hui & Yang, Yan-Hong & Zhou, Wei-Xing, 2022. "Do the global grain spot markets exhibit multifractal nature?," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).
    19. He, Ling-Yun & Chen, Shu-Peng, 2011. "Nonlinear bivariate dependency of price–volume relationships in agricultural commodity futures markets: A perspective from Multifractal Detrended Cross-Correlation Analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(2), pages 297-308.
    20. Carbone, A. & Castelli, G. & Stanley, H.E., 2004. "Time-dependent Hurst exponent in financial time series," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 344(1), pages 267-271.
    21. Wang, Qing & Hu, Yiming, 2015. "Cross-correlation between interest rates and commodity prices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 428(C), pages 80-89.
    22. Ji, Li-Jun & Zhou, Wei-Xing & Liu, Hai-Feng & Gong, Xin & Wang, Fu-Chen & Yu, Zun-Hong, 2009. "R/S method for unevenly sampled time series: Application to detecting long-term temporal dependence of droplets transiting through a fixed spatial point in gas–liquid two-phase turbulent jets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(17), pages 3345-3354.
    23. Castro e Silva, A. & Moreira, J.G., 1997. "Roughness exponents to calculate multi-affine fractal exponents," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 235(3), pages 327-333.
    24. Wang, Jian & Shao, Wei & Kim, Junseok, 2020. "Analysis of the impact of COVID-19 on the correlations between crude oil and agricultural futures," Chaos, Solitons & Fractals, Elsevier, vol. 136(C).
    25. Kantelhardt, Jan W. & Zschiegner, Stephan A. & Koscielny-Bunde, Eva & Havlin, Shlomo & Bunde, Armin & Stanley, H.Eugene, 2002. "Multifractal detrended fluctuation analysis of nonstationary time series," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 316(1), pages 87-114.
    26. Gao-Feng Gu & Wei-Xing Zhou, 2010. "Detrending moving average algorithm for multifractals," Papers 1005.0877, arXiv.org, revised Jun 2010.
    27. Liu, Li, 2014. "Cross-correlations between crude oil and agricultural commodity markets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 395(C), pages 293-302.
    28. Kumar, Sunil & Deo, Nivedita, 2009. "Multifractal properties of the Indian financial market," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 388(8), pages 1593-1602.
    29. Philip C. Abbott, 2012. "Export Restrictions as Stabilization Responses to Food Crisis," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 94(2), pages 428-434.
    30. Li, Zhihui & Lu, Xinsheng, 2012. "Cross-correlations between agricultural commodity futures markets in the US and China," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(15), pages 3930-3941.
    31. Kugiumtzis Dimitris, 2008. "Evaluation of Surrogate and Bootstrap Tests for Nonlinearity in Time Series," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 12(1), pages 1-26, March.
    32. Sonia Akter, 2020. "The impact of COVID-19 related ‘stay-at-home’ restrictions on food prices in Europe: findings from a preliminary analysis," Food Security: The Science, Sociology and Economics of Food Production and Access to Food, Springer;The International Society for Plant Pathology, vol. 12(4), pages 719-725, August.
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