<para xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> Current global satellite scatterometer-based soil moisture retrieval algorithms do not take soil characteristics into account. In this paper, the characteristic time length of the soil water index has been calibrated for ten sampling frequencies and for different soil conductivity associated with 12 soil texture classes. The calibration experiment was independently performed from satellite observations. The reference soil moisture data set was created with a 1-D water-flow model and by making use of precipitation measurements. The soil water index was simulated by applying the algorithm to the modeled soil moisture of the upper few centimeters. The resulting optimized characteristic time lengths <formula formulatype="inline"><tex Notation="TeX">T</tex></formula> increase with longer sampling periods. For instance, a <formula formulatype="inline"><tex Notation="TeX">T</tex></formula> of 7 days was found for sandy soil when a sampling period of 1 day was applied, whereas an optimized <formula formulatype="inline"><tex Notation="TeX">T </tex></formula>-value of 18 days was found for a sampling period of 10 days. A maximum rmse improvement of 0.5% vol. can be expected when using the calibrated <formula formulatype="inline"><tex Notation="TeX">T</tex></formula>-values instead of <formula formulatype="inline"><tex Notation="TeX">$T = 20$</tex></formula>. The soil water index and the differentiated <formula formulatype="inline"><tex Notation="TeX">T</tex></formula>-values were applied to European Remote Sensing (ERS) satellite scatterometer data and were validated against <emphasis emphasistype="boldital">in situ</emphasis> soil moisture measurements. The results obtained using calibrated <formula formulatype="inline"><tex Notation="TeX">T</tex></formula> -values and <formula formulatype="inline"><tex Notation="TeX">$T = 20$</tex></formula> did not differ ( <formula formulatype="inline"><tex Notation="TeX">$r = 0.39$</tex></formula>, <formula formulatype="inline"><tex Notation="TeX">rmse = 5.4 %</tex></formula> vol.) and can be explained by the averaged sampling period of 4–5 days. The soil water index obtained with current operational microwave sensors [Advanced Wind Scatterometer (ASCAT) and Advanced Microwave Scanning Radiometer—Earth Observation System] and future sensors (Soil Moisture and Ocean Salinity and Soil Moisture Active Passive) should benefit from soil texture differentiation, as they can record on a daily basis either individually or synergistically using several sensors. The proposed differentiated characteristic time length enables the continuation of the soil water index of sensors with varying sampling periods (e.g., ERS-ASCAT). </para>
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Lange et al. (2008) studied this question.
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