Regional Sustainability ›› 2026, Vol. 7 ›› Issue (3): 100353.doi: 10.1016/j.regsus.2026.100353
• Research article • Previous Articles Next Articles
Received:2025-01-23
Revised:2026-01-24
Accepted:2026-05-07
Published:2026-06-30
Online:2026-05-22
Contact:
*E-mail address: SNgarava@lincoln.ac.uk (Saul NGARAVA).
Saul NGARAVA. Impact of regional agriculture on economic development: A reflection from Lincolnshire, the United Kingdom[J]. Regional Sustainability, 2026, 7(3): 100353.
Table 1
Description of variables used in this study."
| GVA for agriculture in the United Kingdom (UK) | GVA for agriculture in Lincolnshire | GDP in the UK | ATB in the UK | |
|---|---|---|---|---|
| Mean (×109 GBP) | 11.18 | 0.57 | 1490.01 | -15.30 |
| Standard deviation (×109 GBP) | 2.15 | 0.20 | 563.13 | 8.66 |
| Kurtosis | -0.60 | 1.09 | -0.81 | -0.15 |
| Skewness | -0.19 | 1.15 | 0.32 | -0.65 |
| Minimum (×109 GBP) | 7.41 | 0.32 | 670.80 | -37.34 |
| Maximum (×109 GBP) | 15.91 | 1.10 | 2717.32 | -5.02 |
| t-statistic | 30.35 | 14.90 | 15.43 | -10.30 |
| Number of observations | 34 | 27 | 34 | 34 |
Table 2
Chow test for structural breaks of GVA for agriculture in Lincolnshire."
| Year | Statistic | Statistical value | P-value |
|---|---|---|---|
| 2004 | F-statistic | 3.654 | 0.023 |
| Log likelihood ratio | 15.405 | 0.004 | |
| Wald test statistic | 14.616 | 0.006 | |
| 2008 | F-statistic | 8.126 | 0.001 |
| Log likelihood ratio | 26.924 | 0.000 | |
| Wald test statistic | 32.503 | 0.000 | |
| 2013 | F-statistic | 2.599 | 0.069 |
| Log likelihood ratio | 11.782 | 0.019 | |
| Wald test statistic | 10.394 | 0.034 |
Table 3
Unit root test and optimal lag selection results."
| lnGVAUK per capita | lnGVAL per capita | lnGDPUK per capita | lnATBUK per capita | |||||||
|---|---|---|---|---|---|---|---|---|---|---|
| t-statistic | P-value | t-statistic | P-value | t-statistic | P-value | t-statistic | P-value | |||
| At the level | ADF test statistic | -0.830 | 0.950 | -1.910 | 0.620 | -1.940 | 0.610 | -0.170 | 0.930 | |
| Critical value | 1% level | -4.290 | -4.360 | -4.260 | -3.650 | |||||
| 5% level | -3.560 | -3.600 | -3.550 | -2.960 | ||||||
| 10% level | -3.220 | -3.230 | -3.210 | -2.617 | ||||||
| At the 1st difference | ADF test statistic | -6.500 | 0.000 | -5.350 | 0.000 | -4.740 | 0.000 | -13.070 | 0.000 | |
| Critical value | 1% level | -4.290 | -4.370 | -4.270 | -3.650 | |||||
| 5% level | -3.560 | -3.600 | -3.560 | -2.960 | ||||||
| 10% level | -3.220 | -3.240 | -3.210 | -2.620 | ||||||
| Lag | AIC | SIC | ||||||||
| Optimal lag structure | 0 | -3.970 | -3.770 | |||||||
| 1 | -8.350* | -7.380* | ||||||||
| 2 | -7.770 | -6.020 | ||||||||
Table 4
Vector Autoregressive (VAR) model results for different variables."
| General VAR model | Parsimonious VAR model | |||||||
|---|---|---|---|---|---|---|---|---|
| d(lnGVAUK per capita) | d(lnGVAL per capita) | d(lnGDPUK per capita) | d(lnATBUK per capita) | d(lnGVAUK per capita) | d(lnGVAL per capita) | d(lnGDPUK per capita) | d(lnATBUK per capita) | |
| d(lnGVAUK per capita (-1)) | -0.577** (0.241) [-2.400] | -0.026 (0.225) [-0.116] | -0.074 (0.054) [-1.367] | -0.109 (0.219) [-0.498] | -0.573*** (0.208) [-2.751] | - | -0.061 (0.049) [-1.227] | - |
| d(lnGVAUK per capita (-2)) | -0.425* (0.245) [-1.737] | 0.191 (0.229) [0.834] | 0.044 (0.055) [0.796] | -0.108 (0.222) [-0.485] | -0.435** (0.217) [-1.998] | 0.187 (0.189) [0.990] | 0.045 (0.051) [0.890] | - |
| d(lnGVAL per capita (-1)) | -0.033 (0.270) [-0.124] | -0.156 (0.253) [-0.616] | -0.068 (0.061) [-1.117] | -0.068 (0.246) [-0.278] | - | -0.153 (0.232) [-0.662] | -0.061 (0.058) [-1.064] | - |
| d(lnGVAL per capita (-2)) | -0.119 (0.233) [-0.509] | 0.047 (0.218) [0.215] | 0.021 (0.052) [0.407] | -0.134 (0.212) [-0.633] | -0.134 (0.210) [-0.637] | - | - | -0.125 (0.178) [-0.705] |
| d(lnGDPUK per capita (-1)) | 0.652 (1.106) [0.589] | -1.114 (1.035) [-1.075] | 0.321 (0.248) [1.298] | 1.501 (1.005) [1.494] | 0.623 (1.082) [0.576] | -1.202 (0.944) [-1.274] | 0.313 (0.233) [1.340] | 1.549* (0.797) [1.943] |
| d(lnGDPUK per capita (-2)) | 0.411 (1.524) [0.270] | -2.501* (1.427) [-1.753] | -0.374 (0.341) [-1.098] | 0.265 (1.385) [0.192] | - | -2.474** (1.214) [-2.039] | -0.355 (0.314) [-1.130] | - |
| d(lnATBUK per capita (-1)) | 0.102 (0.287) [0.357] | 0.458* (0.268) [1.706] | 0.077 (0.064) [1.198] | -0.538** (0.261) [-2.065] | - | 0.447* (0.245) [1.825] | 0.077 (0.061) [1.262] | -0.512** (0.207) [-2.476] |
| d(lnATBUK per capita (-2)) | 0.095 (0.270) [0.352] | 0.167 (0.252) [0.662] | 0.082 (0.060) [1.362] | -0.170 (0.245) [-0.695] | - | 0.209 (0.218) [0.960] | 0.064 (0.054) [1.185] | -0.195 (0.214) [-0.915] |
| Constant | -0.034 (0.062) [-0.547] | 0.111* (0.058) [1.918] | 0.027* (0.014) [1.940] | 0.048 (0.056) [0.853] | -0.027 (0.050) [-0.528] | 0.109** (0.053) [2.068] | 0.029** (0.013) [2.174] | 0.051 (0.042) [1.212] |
| R2 | 0.379 | 0.376 | 0.321 | 0.393 | 0.371 | 0.373 | 0.290 | 0.377 |
| Adjusted R2 | 0.047 | 0.043 | -0.042 | 0.069 | 0.197 | 0.164 | -0.003 | 0.246 |
| Durbin Watson statistic | 1.684 | 2.160 | 2.086 | 1.552 | 1.730 | 2.070 | 2.070 | 1.593 |
| Log(likelihood) | 117.675 | |||||||
| AIC | -6.806 | |||||||
| SIC | -5.039 | |||||||
Table 5
Autocorrelation, normality, and heteroscedasticity diagnostic tests."
| Lag | Likelihood ratio error statistic | Probability | Rao F-statistic | Probability | |
|---|---|---|---|---|---|
| Autocorrelation test | At lag 1 | 29.461 | 0.021 | 2.359 | 0.026 |
| At lag 2 | 18.384 | 0.302 | 1.213 | 0.324 | |
| At lag 3 | 8.820 | 0.921 | 0.496 | 0.926 | |
| At lag 1 | 29.461 | 0.021 | 2.359 | 0.026 | |
| At lags 1-2 | 49.506 | 0.025 | 1.967 | 0.074 | |
| Normality test | Jarque-Bera | 22.479 | |||
| Probability | 0.004 | ||||
| Heteroscedasticity test | Chi-square | 163.114 | |||
| Probability | 0.417 | ||||
Fig. 3.
Error variance of lnGVAUK per capita (a), lnGVAL per capita (b), lnGDPUK per capita (c), and lnATBUK per capita (d) during 2023-2047. lnGVAUK per capita, logarithmic value of GVA per capita in the UK; lnGVAL per capita, logarithmic value of GVA per capita in Lincolnshire; lnGDPUK per capita, logarithmic value of GDP per capita in the UK; lnATBUK per capita, logarithmic value of ATB per capita in the UK."
Table S1
Vector autoregressive (VAR) model results for the variables."
| General VAR model | Parsimonious VAR model | |||||||
|---|---|---|---|---|---|---|---|---|
| d(lnGVAUK per capita) | d(lnGVAL per capita) | d(lnGDPUK per capita) | d(lnATBUK per capita) | d(lnGVAUK per capita) | d(lnGVAL per capita) | d(lnGDPUK per capita) | d(lnATBUK per capita) | |
| d(lnGVAUK per capita) | 0.177 (0.213) [0.831] | 0.123 (0.199) [0.616] | 0.012 (0.047) [0.260] | -0.413** (0.177) [-2.329] | 0.008 (0.084) [0.093] | 0.093 (0.177) [0.527] | 0.012 (0.047) [0.260] | -0.413** (0.177) [-2.329] |
| d(lnGVAL per capita (-1)) | 1.263 (1.002) [1.260] | -1.731* (0.936) [-1.850] | 0.193 (0.219) [0.879] | 1.801** (0.835) [2.158] | 1.173 (0.843) [1.390] | -1.661* (0.861) [-1.928] | 0.193 (0.219) [0.879] | 1.801** (0.835) [2.158] |
| d(lnGDPUK per capita (-1)) | 0.070 (0.223) [0.313] | 0.043 (0.208) [0.206] | -0.033 (0.049) [-0.669] | -0.083 (0.186) [-0.448] | -0.033 (0.049) [-0.669] | -0.083 (0.186) [-0.448] | ||
| d(lnATBUK per capita (-1)) | -0.371* (0.199) [-1.861] | -0.179 (0.186) [-0.960] | -0.082* (0.044) [-1.881] | -0.090 (0.166) [-0.544] | -0.346** (0.174) [-1.982] | -0.187 (0.175) [-1.066] | -0.082* (0.044) [-1.881] | -0.090 (0.166) [-0.544] |
| Constant | -0.046 (0.045) [-1.029] | 0.078* (0.042) [1.877] | 0.028*** (0.010) [2.923] | 0.028 (0.037) [0.766] | -0.038 (0.038) [-1.002] | 0.081** (0.039) [2.059] | 0.028*** (0.010) [2.923] | 0.028 (0.037) [0.766] |
| R2 | 0.226 | 0.224 | 0.165 | 0.342 | 0.160 | 0.217 | 0.165 | 0.342 |
| Adjusted R2 | 0.071 | 0.069 | -0.002 | 0.211 | 0.070 | 0.110 | -0.002 | 0.211 |
| Durbin Watson statistic | 2.239 | 2.122 | 0.030 | 2.193 | 2.195 | 2.070 | 1.865 | 2.193 |
| Log(likelihood) | 114.376 | |||||||
| AIC | -7.550 | |||||||
| SIC | -6.575 | |||||||
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