Testing for Intrinsic Multifractality in the Global Grain Spot Market Indices: A Multifractal Detrended Fluctuation Analysis

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.

Analysis and Warning Prediction of Tunnel Deformation Based on Multifractal Theory

“…The MF-DFA model, which belongs to the multiple non-uniform fractal method, not only reveals the multiple fractal characteristics within the deformation sequence but also effectively evaluates their deformation trends [55]. The calculation steps are as follows:…”