Seasonal ARIMA approach for forecasting whitefly population

Authors

  • Hemant Kumar ICAR-Indian Institute of Pulses Research, Kanpur - 208 024, Uttar Pradesh, India Author
  • Anup Chandra ICAR-Indian Institute of Pulses Research, Kanpur - 208 024, Uttar Pradesh, India Author
  • Ashis Ranjan Udgata ICAR-Indian Institute of Pulses Research, Kanpur - 208 024, Uttar Pradesh, India Author

DOI:

https://doi.org/10.53550/jfl.v39i1.2491

Keywords:

AIC, SARIMA, Seasonality, Time series, Whitefly

Abstract

The whitefly (Bemisia tabaci Gennadius), a polyphagous pest, has significant economic importance globally due to its adverse impact on pulse production, particularly as the primary vector of yellow mosaic disease in Vigna crops. In the present investigation, historical data were used to consider pest population forecasting, aimed at mitigating losses due to pest infestations and facilitating enhanced crop yields. By incorporating a weekly seasonality parameter, the Seasonal Autoregressive Integrated Moving Average (SARIMA) time-series model was employed to model and forecast the whitefly pest population. The SARIMA model encompasses components of seasonal autoregression, seasonal differencing, and seasonal moving averages, in addition to the standard ARIMA components. The autocorrelation function (ACF) and partial autocorrelation function (PACF) were calculated, which facilitated the identification and development of Seasonal ARIMA models, aimed at elucidating the time series and assisting in future forecasts of the whitefly population. The model SARIMA (2,1,0) (0,0,2) [52] was found to be the most appropriate, based on the lowest values of σ² and the Akaike Information Criterion (AIC). Advance forecasting of pest outbreaks will help farmers and researchers take necessary preventive measures to manage and reduce pest infestation.

References

Kumar et al. : Seasonal ARIMA approach for forecasting whitefly population 111 115-119. https://doi:10.59797/jfl.v38.i1.249

Andrew ML. 1993. Geostatistics and geographic information systems in applied insect ecology. Annual Review of Entomology 38(1): 303–328.

Breiman L. 2001. Statistical Modeling: The two cultures (with comments and a rejoinder by the author). Statistical Science 16(3): 199-231.

Box G and Jenkins G. 1970. Time Series Analysis: Forecasting and Control. Holden-Day, San Francisco.

Chandra A, Sujayanand GK and Kumar R. 2021. Influence of Sowing Dates and Host Crops on Population Incidence of Whitefly, Bemisia tabaci (Gennadius) in Greengram and Blackgram. National Academy Science Letters 44(5): 389-391. https://doi.org/10.1007/s40009-020-01033-8

Chandra A, Sujayanand GK, Bandi SM, Parihar AK, Gupta DS, Akram M, Hazra KK, Konda AK and Dixit GP. 2025. Bemisia tabaci (Gennadius): From Complex Species to a Species-Complex. Journal of Natural Science and Exploration 1(1): 1-12.

Cryer JD and Chan KS. 2008. Time Series Analysis with Application in R. 2nd Edn., Springer, New York. ISBN-10: 0387759581. 491 pp.

He SY. 2004. Applied Time Series Analysis. 1st Edn., Peking University Press, Beijing.

Kantz H and Schreiber T. 2004. Nonlinear Time Series Analysis. 2nd Edn., Cambridge University Press, Cambridge. ISBN-10: 0521529026. 369 pp.

Kumar H, Chandra A, Udgata AR, Hazra KK and Bhagawati K. 2025. ARIMA time series forecast modelling for whitefly, Bemisia tabaci (Gennadius).

Murguía-González J, Landero-Torres I, Leyva-Ovalle OR, GalindoTovar ME, Llarena-Hernández RC, Presa-Parra E and GarcíaMartínez MA. 2018. Efficacy and cost of trap-bait combinations for capturing Rhynchophoruspalmarum L. (Coleoptera: Curculionidae) in ornamental palm polycultures. Neotropical Entomology 47(2): 302-310. https://doi.org/10.1007/s13744-017-0545-8

Nene YL. 1973. Control of Bemisia tabaci Genn., a vector of several plant viruses. Indian Journal of Agricultural Sciences 43: 433–436.

Ollech D. 2025. Seastests package, CRAN R package. Senf C, Seidl R and Hostert P. 2017. Remote sensing of forest insect disturbances: Current state and future directions. International Journal of Applied Earth Observation and Geoinformation 60: 49- 60.

Stoffer DS and Dhumway RH. 2010. Time Series Analysis and its Application. 3rd Edn., Springer, New York. ISBN-10: 1441978658. 596 pp.

Varma PM. 1952. Studies on the relationship of the Bhendi yellow vein mosaic virus and its vector, the whitefly (Bemisia tabaci Gen.). Indian Journal of Agricultural Sciences 22: 75–91.

Wang J, Du YH. and Zhang XT. 2008. Theory and Application with Seasonal Time Series. 1st Edn., Nankai University Press, Chinese.

Yeasin M, Singh KN, Ramasubramanian V, Paul RK and Lama A. 2025. Application of SARIMA model for precipitation modelling driven by exogenous variables. Mausam 76(2): 365-372.

Downloads

Published

2026-05-15

Issue

Section

Articles

How to Cite

Seasonal ARIMA approach for forecasting whitefly population. (2026). Journal of Food Legumes, 39(1), 106-111. https://doi.org/10.53550/jfl.v39i1.2491