## 5 Results
### Modified Mann-Kendall Results  
The present study involves the temporal analysis of GPP values, employing Mann-Kendall (MK) tests. These non-parametric tests provide insights into the direction of trends in time series data. The purpose of using the Modified Mann-Kendall (MMK) test in this study is to address the issue of autocorrelation, which can lead to inaccurate results in datasets with high autocorrelation when using the MK test alone. The MMK test attempts to eliminate internal dependency, aiming for statistically more reliable results. The monthly trend results are presented in Table 2. The values pertaining to the Antalya region have been interpreted in detail as an example.  
In the analyses conducted on a monthly basis, no significant trend was observed in any dataset for January in the Antalya region. In February, MODIS indicated a decrease in GPP, while other datasets (except PMLV2) showed an increase. In March, no trend was observed in the GOSIF dataset, while MODIS showed a decrease, and other datasets indicated an increase. In April, MODIS indicated a decrease in GPP, FLUXCOM showed no trend, and other datasets showed an increase. In May, MODIS again showed a decrease, FLUXCOM had no trend, and other datasets exhibited a significant increase. In June, there was no trend in FLUXCOM and MuSyQ, while other datasets showed an increase. The same was observed in July and August. In September, no significant trend was detected in the FLUXCOM, MODIS, and PMLV2, while other datasets showed an increasing trend. In October, FLUXCOM and PMLV2 showed no significant trend, while other datasets continued to show an increasing trend. In November, all datasets except FLUXCOM showed an increasing trend and, in December, all datasets except MuSyQ showed an increasing trend.  
The TL-LUE dataset shows no trend during the winter months, while it displays an increasing trend in all regions during the spring and summer months. The GOSIF dataset generally exhibits an increasing trend and MODIS, distinct from other datasets, shows a tendency to decrease in many regions during the months of March, April, and May. MuSyQ shows no trend in January and December, while exhibiting an increasing trend in all other months. PMLV2 shows no trend during the winter months but an increasing trend during the spring and summer months. Monthly trend values for all regions are shared in the Supplementary Materials (Tables S1-S7).  
After conducting an analysis of the monthly values, the datasets were examined using the MMK test. According to the results presented in Table 3, significant increasing trends were identified in TL-LUE, MuSyQ, and PMLV2 for the Antalya region. In the Erzincan region, a notable increasing trend was detected exclusively in MuSyQ. In Izmir, significant trends were observed in TL-LUE, GOSIF, and PMLV2. For the Kirklareli region, statistically significant increasing trends were found only in TL-LUE and MuSyQ. In Konya, an upward tendency was identified in TL-LUE, GOFIS, MuSyQ, and PMLV2. In Samsun, increasing trends were observed in MuSyQ and PMLV2. Lastly, in the Samliurfa region, significant increases were detected in all datasets except for FLUXCOM and MODIS. MuSyQ showed a strong and statistically significant upward trend in the Kirklareli, Konya, Samsun, and Sanliurfa regions with a 99% confidence interval.