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Research Article | Open Access

Function fitting for modeling seasonal normalized difference vegetation index time series and early forecasting of soybean yield

Alexey StepanovaKonstantin Dubrovinb( )Aleksei Sorokinb
Far Eastern Agriculture Research Institute, Vostochnoe, 680521 Khabarovsk, Russia
Computing Center of the Far Eastern Branch of the Russian Academy of Sciences, 680000 Khabarovsk, Russia
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Abstract

Forecasting crop yields based on remote sensing data is one of the most important tasks in agriculture. Soybean is the main crop in the Russian Far East. It is desirable to forecast soybean yield as early as possible while maintaining high accuracy. This study aimed to investigate seasonal time series of the normalized difference vegetation index (NDVI) to achieve early forecasting of soybean yield. This research used data from the Moderate Resolution Image Spectroradiometer (MODIS), an arable-land mask obtained from the VEGA-Science web service, and soybean yield data for 2008–2017 for the Jewish Autonomous Region (JAR) districts. Four approximating functions were fitted to model the NDVI time series: Gaussian, double logistic (DL), and quadratic and cubic polynomials. In the period from calendar weeks 22–42 (end of May to mid-October), averaged over two districts, the model using the DL function showed the highest accuracy (mean absolute percentage error –4.0%, root mean square error (RMSE) –0.029, P < 0.01). The yield forecast accuracy of prediction in the period of weeks 25–30 in JAR municipalities using the parameters of the Gaussian function was higher (P < 0.05) than that using the other functions. The mean forecast error for the Gaussian function was 14.9% in week 25 (RMSE was 0.21 t ha−1) and 5.1%−12.9% in weeks 26–30 (RMSE varied from 0.06 to 0.15 t ha−1) according to the 2013–2017 data. In weeks 31–32, the error was 5.0%−5.4% (RMSE was 0.07 t ha−1) using the Gaussian parameters and 7.4%−7.7% (RMSE was 0.09–0.11 t ha−1) for the DL function. When the method was applied to municipal districts of other soy-producing regions of the Russian Far East. RMSE was 0.14–0.32 t ha−1 in weeks 25–26 and did not exceed 0.20 t ha−1 in subsequent weeks.

The Crop Journal
Pages 1452-1459
Cite this article:
Stepanov A, Dubrovin K, Sorokin A. Function fitting for modeling seasonal normalized difference vegetation index time series and early forecasting of soybean yield. The Crop Journal, 2022, 10(5): 1452-1459. https://doi.org/10.1016/j.cj.2021.12.013

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Received: 27 June 2021
Revised: 26 December 2021
Accepted: 30 December 2021
Published: 03 February 2022
© 2022 Crop Science Society of China and Institute of Crop Science, CAAS.

This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).

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