The infestation ratio was calculated using the following equation:

Data collected from the infestation ratio of grains, granules, or glumes were used for one-way analysis of variance (Fisher’s protected least significant difference), and normalized data were transformed using an arcsine square root function before analysis. Among ecological indices such as elevation, sunshine hours, temperature, rainfall, latitude and longitude from Supplementary Table S1, two models of key indices and two genera, Alternaria and Davidiella spp. were generated using stepwise backward selection71. All analyses were conducted in SPSS for Windows Version 16.0 (SPSS Inc., Chicago, Illinois, United States of America).

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