Correction

This article refers to:

Agricultural machinery, irrigation systems and food grains: A symmetric novel analysis

Article title: Agricultural machinery, irrigation systems and food grains: A symmetric novel analysis

Authors: Abdul Rehman, Hengyun Ma, Judit Oláh, Rafael Alvarado & Cem Işık

Journal: Cogent Food & Agriculture

Bibliometrics: Volume 09, Number 02, pages 1-20

DOI: https://doi.org/10.1080/23311932.2023.2279714

This article is originally published with incorrect Equation (5):

(5) $LnAV{A}_t={\vartheta }_0+{\vartheta }_{1}LnI{S}_t+{\vartheta }_{2}LnA{M}_t+{\vartheta }_{3}LnTF{G}_t+{\vartheta }_{4}LnTC{A}_t+{\epsilon }_t$(5)

The corrected Equation is listed below:

The following is a description of the vector error correction model:

(5) $\begin{array}{rl}& \left[\begin{array}{c}\mathrm{\Delta }Ln\mathrm{A}\mathrm{V}{\mathrm{A}}_{\mathrm{t}}\\ \mathrm{\Delta }\mathrm{L}\mathrm{n}\mathrm{I}{\mathrm{S}}_{\mathrm{t}}\\ \mathrm{\Delta }\mathrm{L}\mathrm{n}\mathrm{A}{\mathrm{M}}_{\mathrm{t}}\\ \mathrm{\Delta }\mathrm{L}\mathrm{n}\mathrm{T}\mathrm{F}{\mathrm{G}}_{\mathrm{t}}\\ \mathrm{\Delta }\mathrm{L}\mathrm{n}\mathrm{T}\mathrm{C}{\mathrm{A}}_{\mathrm{t}}\end{array}\right]=\left[\begin{array}{c}{\xi }_1\\ {\xi }_2\\ {\xi }_3\\ {\xi }_4\\ {\xi }_5\end{array}\right]\hspace{0.17em}+\left[\begin{array}{c}{\xi }_{11,\hspace{0.17em}1}{\xi }_{12,1}{\xi }_{13,1}{\xi }_{14,\hspace{0.17em}1}{\xi }_{15,1}\\ {\xi }_{21,1}{\xi }_{22,1}{\xi }_{23,1}{\xi }_{24,1}{\xi }_{25,1}\\ {\xi }_{31,1}{\xi }_{32,1}{\xi }_{33,1}{\xi }_{34,\hspace{0.17em}1\hspace{0.17em}}{\xi }_{35,1}\\ {\xi }_{41,1}{\xi }_{42,1}{\xi }_{43,1}{\xi }_{44,\hspace{0.17em}1}{\xi }_{45,1}\\ {\xi }_{51,1}{\xi }_{52,1}{\xi }_{53,1}{\xi }_{54,\hspace{0.17em}1}{\xi }_{55,1}\end{array}\right]\\ & \left[\begin{array}{c}\mathrm{\Delta }Ln\mathrm{A}\mathrm{V}{\mathrm{A}}_{\mathrm{t}-1}\\ \mathrm{\Delta }\mathrm{L}\mathrm{n}\mathrm{I}{\mathrm{S}}_{\mathrm{t}-1}\\ \mathrm{\Delta }\mathrm{L}\mathrm{n}\mathrm{A}{\mathrm{M}}_{\mathrm{t}-1}\\ \mathrm{\Delta }Ln\mathrm{T}\mathrm{F}{\mathrm{G}}_{\mathrm{t}-1}\\ \mathrm{\Delta }\mathrm{L}\mathrm{n}\mathrm{T}\mathrm{C}{\mathrm{A}}_{\mathrm{t}-1}\end{array}\right]+\dots +\hspace{0.17em}\left[\begin{array}{c}{\xi }_{11,\mathrm{k}}{\xi }_{12,\mathrm{k}}{\xi }_{13,\mathrm{k}}{\xi }_{14,\mathrm{k}}{\xi }_{15,\mathrm{k}}\\ {\xi }_{21,\mathrm{k}}{\xi }_{22,\mathrm{k}}{\xi }_{23,\mathrm{k}}{\xi }_{24,\mathrm{k}}{\xi }_{25,\mathrm{k}}\\ {\xi }_{31,\mathrm{k}}{\xi }_{32,\mathrm{k}}{\xi }_{33,\mathrm{k}}{\xi }_{34,\mathrm{k}}{\xi }_{35,\mathrm{k}}\\ {\xi }_{41,\mathrm{k}}{\xi }_{42,\mathrm{k}}{\xi }_{43,\mathrm{k}}{\xi }_{44,\mathrm{k}}{\xi }_{45,\mathrm{k}}\\ {\xi }_{51,\mathrm{k}}{\xi }_{52,\mathrm{k}}{\xi }_{53,\mathrm{k}}{\xi }_{54,\mathrm{k}}{\xi }_{55,\mathrm{k}}\end{array}\right]\\ & \left[\begin{array}{c}\mathrm{\Delta }Ln\mathrm{A}\mathrm{V}{\mathrm{A}}_{\mathrm{t}-\mathrm{k}}\\ \mathrm{\Delta }\mathrm{L}\mathrm{n}\mathrm{I}{\mathrm{S}}_{\mathrm{t}-\mathrm{k}}\\ \mathrm{\Delta }\mathrm{L}\mathrm{n}\mathrm{A}{\mathrm{M}}_{\mathrm{t}-\mathrm{k}}\\ \mathrm{\Delta }Ln\mathrm{T}\mathrm{F}{\mathrm{G}}_{\mathrm{t}-\mathrm{k}}\\ \mathrm{\Delta }\mathrm{L}\mathrm{n}\mathrm{T}\mathrm{C}{\mathrm{A}}_{\mathrm{t}-\mathrm{k}}\end{array}\right]+\hspace{0.17em}\left[\begin{array}{c}{\gamma }_1\\ {\gamma }_2\\ {\gamma }_3\\ {\gamma }_4\\ {\gamma }_5\end{array}\right]\mathrm{E}\mathrm{C}{\mathrm{T}}_{\mathrm{t}-1}\hspace{0.17em}+\hspace{0.17em}\left[\begin{array}{c}{\beta }_1\\ {\beta }_2\\ {\beta }_3\\ {\beta }_4\\ {\beta }_5\end{array}\right]\end{array}$(5)

Where Δ designates the operator demonstrating the difference, $\beta$ demonstrates the error term classification, and investigates the error term coefficient ($\mathrm{E}\mathrm{C}{\mathrm{T}}_{\mathrm{t}-1}$) in equation (5).