## 5 Results
### Innovative Trend Analysis Results
In the MuSyQ dataset, while low and medium values show an increasing trend, high values are distributed near the trendless region. In the PMLV2 dataset, there is no trend in low GPP values and an increasing trend as GPP becomes higher. In the Erzincan region, except for the FLUXCOM dataset, all datasets exhibit a notable monotonically increasing GPP trend that is more pronounced at high values. Regarding the ITA results for the Izmir region, no trend is observed in the low and medium GPP values except for the MuSyQ, which increase towards medium values with a smaller increase in high values and some higher values showing a decreasing trend. TL-LUE, GOSIF, and PMLV2 also exhibit an increasing trend at high GPP values, while MODIS shows slight decreasing trends in higher values. In Izmir, a monotonic increasing trend is observed in TL-LUE, GOSIF, and PMLV2, while MODIS and MuSyQ display a non-monotonic, increasing trend at medium values but trendless behavior at low and high values. The ITA results for the Konya region display a markedly different trend compared to other regions. Except for the FLUXCOM and GOSIF datasets, all other datasets show a monotonically increasing trend. In the GOSIF dataset, while the medium values show a clear increasing trend, its high values are scattered in the trendless region. In the PMLV2 dataset, very pronounced increases are observed at high GPP values. In examining the GPP values in the Samsun region, a distinct monotonic increasing trend can be observed in MuSyQ and PMLV2. The TL-LUE dataset shows an increasing trend at high values, and an increasing trend at medium values is apparent in MODIS and GOSIF. In Sanliurfa, a notably different trend distribution is present compared to other regions. In the GOSIF dataset, an increasing trend in low values slightly diminishes in medium values but increases again in high values. The common point in the trend analyses across all regions is the tendency for increases at high values. While there are clear differences between the trends in the Sanliurfa and Konya regions, \begin{table}
\begin{tabular}{c c c c c c c c c} \hline \hline
**Dataset** & & **Antalya** & **Erzincan** & **Izmir** & **Kirklareli** & **Konya** & **Samsun** & **Sanliurfa** \\ \hline \multirow{3}{*}{TL-LUE} & \(Z\) & 3.16 * & 1.17 & 2.61 * & 2* & 3.03 * & 1.58 & 3.68 ** \\ \cline{2-9}  & \(p\) & 0.001 & 0.23 & 0.008 & 0.044 & 0.002 & 0.11 & 0.0002 \\ \cline{2-9}  & Slope & 0.0021 & 0.00005 & 0.002 & 0.0015 & 0.0005 & 0.001 & 0.0007 \\ \hline \multirow{3}{*}{FLUXCOM} & \(Z\) & 0.61 & 0.24 & 0.36 & 0.21 & \(-\)1.7 & \(-\)0.98 & \(-\)0.48 \\ \cline{2-9}  & \(p\) & 0.539 & 0.8 & 0.71 & 0.82 & 0.86 & 0.92 & 0.62 \\ \cline{2-9}  & Slope & 0.0001 & 0.00002 & 0.00004 & 0.00003 & \(-\)0.0001 & \(-\)0.00002 & \(-\)0.0005 \\ \hline \multirow{3}{*}{GOFIS} & \(Z\) & 1.9 & 1.05 & 2.13 * & 1.41 & 2.6 * & 1.37 & 4.69 ** \\ \cline{2-9}  & \(p\) & 0.056 & 0.29 & 0.032 & 0.15 & 0.009 & 0.16 & 0.000 \\ \cline{2-9}  & Slope & 0.0013 & 0.0004 & 0.002 & 0.0014 & 0.0012 & 0.0013 & 0.0021 \\ \hline \multirow{3}{*}{MODIS} & \(Z\) & 1.38 & 0.95 & 0.8 & 1.07 & 1.73 & 0.9 & 1.73 \\ \cline{2-9}  & \(p\) & 0.166 & 0.34 & 0.42 & 0.28 & 0.08 & 0.36 & 0.08 \\ \cline{2-9}  & Slope & 0.0015 & 0.0003 & 0.0008 & 0.0013 & 0.0008 & 0.0013 & 0.0006 \\ \hline \multirow{3}{*}{MuSyQ} & \(Z\) & 2.07 * & 2.09 * & 0.29 & 3.57 ** & 5.28 ** & 2.27 * & 6.66 ** \\ \cline{2-9}  & \(p\) & 0.038 & 0.035 & 0.29 & 0.0003 & 0.000 & 0.022 & 0.000 \\ \cline{2-9}  & Slope & 0.0006 & 0.0002 & 0.001 & 0.0019 & 0.0008 & 0.001 & 0.0014 \\ \hline \multirow{3}{*}{PMLV2} & \(Z\) & 3.08 * & 1.75 & 2.74 * & 1.93 & 3.44 ** & 2.66 * & 2.87 * \\ \cline{2-9}  & \(p\) & 0.002 & 0.08 & 0.006 & 0.052 & 0.000 & 0.007 & 0.004 \\ \cline{1-1} \cline{2-9}  & Slope & 0.0012 & 0.0003 & 0.0015 & 0.001 & 0.0007 & 0.0016 & 0.0006 \\ \hline \hline \end{tabular}  
* \(p\) < 0.05, ** \(p\) < 0.001.  
\end{table}