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STS2319 Lakshman N. R. et al.
            selection of Landsat–MODIS pair images. To address this issue, we used a gap-
            filling algorithm called Geostatistical Neighborhood Similar Pixel Interpolator
            (GNSPI) (Zhu, Liu, and Chen 2012). Second, the ratio of valid pixels of MODIS
            images from both Terra and Aqua were also limited due to clouds. Thus, we
            use a pair of MODIS and Landsat images to train the STARFM algorithm and
            apply it to the rest of the MODIS images when MODIS surface reflectance data
            is available.

                C.  Paddy Rice Mapping and Land-Cover Classification
                To identify paddy rice area from satellite images, we classify the land cover
            of Thai Binh into six categories, namely croplands, barren, built-ups, water,
            wetlands,  and  other  vegetation.  These  were  based  on  the  International
            Geosphere-Biosphere  Programme  (IGBP)  classification  scheme  used  by
            MODIS  global  land cover  product  (Friedl  et  al. 2002).  The  six classes  were
            selected  based  on  our  visual  interpretation  of  high-resolution  images  on
            Google Earth and the knowledge from local field crew. Since paddy rice is the
            predominant crop grown in Thai Binh during the rainy season, the category
            “Croplands” refers to paddy rice in our study.
                Our land cover classification uses a random forest classifier (RFC)
            algorithm (Breiman 2001), which has been widely tested and proved robust
            and efficient in the classification of remote sensing images (Hansen et al. 2000;
            Pal  2005;  Zhu  et  al.  2016).  The  training  pixels  were  selected  as  evenly  as
            possible  across  the  spatial  extent  of  the  images  and  excluded  from  pixel
            sampling  during  the  assessment  of  classification  accuracy.  For  the
            classification accuracy assessment, we follow the protocol set up by Olofsson
            et al. (2014). We obtain the conjectured overall accuracy and user’s accuracy
            from the cross validation of RFC and prescribe the expected standard errors
            of user’s accuracy for the six classes as 0.01 for croplands, 0.05 for barren, 0.05
            for built-ups, 0.02 for water, 0.05 for wetlands, and 0.10 for other vegetation.

                D.  Crop Yield Estimation
                A three-stage stratified sampling methodology was employed for the
            crop cutting survey, using an area frame that was constructed based on   the
            expected likelihood of finding paddy rice area. Training of field staff on crop-
            cutting activities was conducted in September 2015 with significant attention
            paid  to  the  creation  of  the  survey  instruments  and  methodology  for  crop
            cutting (Durante et. al 2018). The actual fieldwork took place between late
            September 2015 and early November 2015, covering the period associated
            with rice harvesting in Thai Binh. Crop cutting was implemented in random
            2.5m x 2.5m square sub-plots in selected rice plots.
                Usually, two variables are needed to predict yield – Aboveground Biomass
            (AGB),  and  Harvest  Index.  AGB  usually  can  be  approximated  by  the  peak
            vegetation index, which can be derived from the Landsat–MODIS fusion data

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