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Using Bayesian Kriging for spatial smoothing of trends in non-normal yield densities

Bart Niyibizi (Agricultural Economics, University of Wisconsin-River Falls, River Falls, Wisconsin, USA)
B. Wade Brorsen (Agricultural Economics, Oklahoma State University, Stillwater, Oklahoma, USA)
Eunchun Park (Agricultural Economics and Agribusiness, University of Arkansas Fayetteville, Fayetteville, Arkansas, USA)

Agricultural Finance Review

ISSN: 0002-1466

Article publication date: 12 October 2021

Issue publication date: 3 October 2022

110

Abstract

Purpose

The purpose of this paper is to estimate crop yield densities considering time trends in the first three moments and spatially varying coefficients.

Design/methodology/approach

Yield density parameters are assumed to be spatially correlated, through a Gaussian spatial process. This study spatially smooth multiple parameters using Bayesian Kriging.

Findings

Assuming that county yields follow skew normal distributions, the location parameter increased faster in the eastern and northwestern counties of Iowa, while the scale increased faster in southern counties and the shape parameter increased more (implying less left skewness) in southwestern counties. Over time, the mean has increased sharply, while the variance and left skewness increased modestly.

Originality/value

Bayesian Kriging can smooth time-varying yield distributions, handle unbalanced panel data and provide estimates when data are missing. Most past models used a two-stage estimation procedure, while our procedure estimates parameters jointly.

Keywords

Acknowledgements

This research received funding from the Oklahoma Agricultural Experiment Station; the National Institute for Agriculture (NIFA) [Hatch project OKL02939]; and the A.J. and Susan Jacques Chair. Some of the computing for this research was performed at the OSU HighPerformance Computing Center at Oklahoma State University supported in part through the National Science Foundation grant OAC–1531128. The authors acknowledge useful comments by Dr Philip Alderman, Dr Jon T. Biermacher, Dr Dayton M. Lambert and participants at the 2018 SCC-76 Conference.

Citation

Niyibizi, B., Brorsen, B.W. and Park, E. (2022), "Using Bayesian Kriging for spatial smoothing of trends in non-normal yield densities", Agricultural Finance Review, Vol. 82 No. 5, pp. 815-827. https://doi.org/10.1108/AFR-04-2021-0042

Publisher

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Emerald Publishing Limited

Copyright © 2021, Emerald Publishing Limited

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