Estimation of the Average Yield of Cotton using Outlier Robust Geographically Weighted Regression Approach
152 / 128
Keywords:
Crop cutting experiments; GCES; Geographically weighted regression; Outlier robust geographically weighted regression, Spatial non-stationarityAbstract
The General Crop Estimation Survey (GCES) scheme requires a large number of Crop Cutting Experiments (CCEs) to be conducted to get a reliable estimate below the district level. However, conducting a large number of CCEs imposes a financial burden on Govt. agencies. Additionally, large scale surveys like GCES often result in many outlier observations in the CCE data. To address this issue,this study was conducted to estimate the yield rate of cotton with a relatively fewer number of CCEs than the GCES scheme using the proposed Outlier Robust Geographically Weighted Regression (ORGWR) approach. Validation of the proposed methodology was done using the real CCE dataset of Amravati district for the 2012-13 agriculture year in Maharashtra. In this approach,the number of CCEs conducted for GCES scheme was reduced, and then this reduced number of the CCEs can be predicted using the proposed ORGWR approach. The predicted CCEs and the incomplete CCEs data are then combined to form a complete dataset. This complete dataset is used to calculate the crop yield accurately. The study conducted a comparison between the ORGWR approach and GCES
methodology for estimating the average yield of cotton. The results showed that the ORGWR approach, when used with a lesser number of CCEs, yielded estimates that were almost equivalent to those obtained using the GCES methodology with the complete dataset. Moreover, the standard error of the estimate was reliable, indicating the validity of the results.
Downloads
References
Brunsdon, C., Fotheringham, A.S. and Charlton, M. (1996). Geographically weighted regression: a method for exploring
spatial non-stationarity. Geographical Analysis, 28(4), 281-298.
CSO. (2008). Manual on Area and Crop Production Statistics. CSOMAG-01. Central Statistical Organization, New Delhi. Harris, P., Fotheringham, A.S. and Juggins, S. (2010). Robust geographically weighted regression: a technique for quantifying spatial relationships between freshwater acidification critical loads and catchment attributes. Annals of the Association of American Geographers, 100(2), 286-306.
Afifah, R., Andriyana, Y. and Jaya, I.M. (2017). Robust geographically weighted regression with least absolute deviation method in case of poverty in Java Island. InAIP Conference Proceedings, 1827(1), 020023, AIP Publishing LLC. Ahmad, T., Bathla, H.V.L., Rai, A., Sahoo, P.M., Gupta, A.K., Jain, V.K. and Mhadgut, D.V. (2009). Study to investigate the causes of variation between official and trade estimates of cotton production.
Project Report, ICAR-IASRI, New Delhi Publication.
Ahmad, T., Bhatia, V.K., Sud, U.C., Rai, A. and Sahoo, P.M. (2013). Study to develop an alternative methodology for estimation of cotton production. Project Report, ICAR-IASRI, New Delhi Publication.
Ahmad, T., Sud, U.C., Rai, A. and Sahoo, P.M. (2020). An alternative sampling methodology for estimation of cotton yield using double sampling approach. Journal of the Indian Society of Agricultural Statistics, 74(3), 217-226.
Leung, Y., Mei, C.L. and Zhang, W.X. (2000). Statistical tests for spatial non-stationarity based on the geographically weighted regression
model. Environment and Planning A, 32(1), 9-32.
Ma, J., Chan, J.C.W. and Canters, F. (2014). Robust locally weighted regression for super resolution enhancement of multi-angle remote sensing imagery. InIEEE journal of selected topics in applied earth observations and remote sensing, 7(4), 1357-1371.
Moury, P.K., Tauqueer Ahmad, T., Rai, A., Biswas, A. and Sahoo, P.M. (2020). Outlier Robust FinitePopulation Estimation under Spatial
Non-stationarity. International Journal of Agricultural and Statistical Sciences, 16(2), 535-545.
Panse, V.G., Rajagopalan, M. and Pillai, S.S. (1966). Estimation of crop yields for small areas. Biometrics, 22(2), 374-384.
Paul, N.C., Rai, A., Ahmad, T., Biswas, A. and Sahoo, P.M. (2023a). GWR-assisted integrated estimator of finite population total under two-phase sampling: a model-assisted approach. Journal of Applied Statistics. DOI: 10.1080/02664763.2023.22808792024.
Paul, N.C., Rai, A., Ahmad, T., Biswas, A. and Sahoo, P.M. (2024). Spatial approach for the estimation of average yield of cotton
using reduced number of crop cutting experiments. Current Science, 125(5), 518-529. DOI: 10.18520/cs/v125/i5/518-529.
Paul, N.C., Rai, A., Ahmad, T., Biswas, A. and Sahoo, P.M. (2024). Spatially integrated estimator of finite population total by
integrating data from two independent surveys using spatial information. Journal of the Korean Statistical Society, 53, 222-247.
Raheja, S.K., Goel, B.B.P.S., Mehrotra, P.C. and Rustogi, V.S. (1977). Pilot sample survey for estimating yield of cotton in Hissar (Haryana). Project Report, IASRI, New Delhi Publication.
Saha, B., Biswas, A., Ahmad, T. and Paul, N.C. (2023). Geographically weighted regression-based model calibration estimation of finite
population total under geo-referenced complex surveys. Journal of Agricultural, Biological and Environmental Statistics, https://
doi.org/10.1007/s13253-023-00576-9.
Warsito, B., Yasin, H., Ispriyanti, D. and Hoyyi, A. (2018). Robust geographically weighted regression of modeling the Air Polluter
Standard Index (APSI). Journal of Physics: Conference Series, 1025(1), 012096: IOP Publishing.
Zhang, H. and Mei, C. (2011). Local least absolute deviation estimation of spatially varying coefficient models: robust geographically
weighted regression approaches. International Journal of Geographical Information Science, 25(9), 1467-1489.