Evaluation of empirical and semi-empirical
backscattering models for surface soil moisture
estimation
J. Álvarez-Mozos, M. González-Audícana, and J. Casalí
Abstract. Several empirical and semi-empirical backscattering models have been proposed to offer alternative expressions
for the inversion of surface parameters from radar data, but the applicability and adequacy of the models for different
surface conditions and sensor configurations have not been clearly assessed. A number of empirical and semi-empirical
models are studied in this paper to assess the applicability of the models for different conditions that are often found over
agricultural areas. The performance of the models is evaluated first analytically by comparing their simulations with those
obtained using the theoretical integral equation model (IEM) and geometrical optics model (GOM). The model estimations
are then compared with RADARSAT-1 observations acquired over an experimental catchment. The results show very
different model behaviour depending on the surfaces roughness conditions and incidence angle. This study highlights the
importance of carefully selecting the backscattering model to be used in radar applications.
Résumé. Plusieurs modèles empiriques et semi-empiriques de rétrodiffusion ont été proposés pour offrir des expressions
alternatives à l’inversion des paramètres de surface à partir des données radar. Cependant, l’applicabilité et la pertinence des
modèles aux différentes conditions de surface et configurations de capteurs n’ont pas été évaluées de façon satisfaisante.
Dans cet article, nous étudions un nombre de modèles empiriques et semi-empiriques en vue d’évaluer leur applicabilité aux
diverses conditions souvent observées en milieu agricole. La performance des modèles est évaluée tout d’abord de façon
analytique, c’est-à-dire en comparant leurs simulations avec celles obtenues avec les modèles théoriques IEM (« integral
equation model ») et GOM (« geometrical optics model »). Ensuite, les estimations des modèles sont comparées avec des
observations RADARSAT-1 acquises au-dessus d’un bassin versant expérimental. Les résultats montrent un comportement
très différent des modèles selon les conditions de rugosité de surface et l’angle d’incidence. Cette étude souligne
l’importance de bien sélectionner le modèle de rétrodiffusion à utiliser dans les applications radar.
[Traduit par la Rédaction]
Álvarez-Mozos et al. 188 Introduction
Surface soil moisture (SM) is a variable that plays a crucial
role in many processes occurring at the soil–atmosphere
interface. The knowledge of the moisture content of the soil
over a field or a catchment can be very helpful for hydrological,
agronomic, and meteorological applications (Schmugge et al.,
2002; Moran et al., 2004). However, soil moisture characterization
is a complicated task due to its high spatial and temporal
variability (Wilson et al., 2004). In addition, most soil moisture
measuring devices developed so far consist of point-based
probes. Therefore, estimating the moisture content of fields or
larger areas by means of remote sensing observations is at
present an attractive challenge.
Soil moisture sensing can best be approached using either
passive or active microwave sensors (Du et al., 2000;
Schmugge et al., 2002). However, passive sensors have a very
coarse spatial resolution and are thus limited to small-scale
applications. Consequently, active microwave (radar) sensors
represent the best alternative for hydrological and agronomic
applications. The backscattering coefficient, σ
0
, obtained from
radar sensors is directly related to the dielectric properties of
the soil surface being observed, which in turn are mainly
dependent on its moisture content (Ulaby et al., 1986).
Radar-based SM retrieval has been intensively studied in the
last decades. Three main approaches have been generally
followed (Moran et al., 2004): (i) empirical linear regression
models relating the backscattering coefficient to SM which are
valid for invariant roughness, vegetation, and scene-acquisition
conditions (Glenn and Carr, 2004; Álvarez-Mozos et al., 2005);
(ii) change detection techniques for monitoring SM dynamics,
assuming that surface roughness and vegetation cover change
more slowly than does SM (Wickel et al., 2001); and
(iii) electromagnetic scattering models that simulate the surface
backscattering process and can be inverted to retrieve SM
(Ulaby et al., 1986; Fung, 1994). The first two approaches have
limited validity because they require the surface characteristics
apart from SM to remain unchanged and the sensor parameters
to be exactly the same. If identical sensor parameters were
needed, the revisit time of most sensors would be on the order
of several weeks, which is generally insufficient for most
176 © 2007 CASI
Can. J. Remote Sensing, Vol. 33, No. 3, pp. 176–188, 2007
Received 22 May 2006. Accepted 22 March 2007. Published on
the Canadian Journal of Remote Sensing Web site at
http://pubs.nrc-cnrc.gc.ca/cjrs on 18 July 2007.
J. Álvarez-Mozos,
1
M. González-Audícana, and J. Casalí.
Department of Projects and Rural Engineering, Public University
of Navarre, Arrosadia s/n, 31006 Pamplona, Spain.
1
Corresponding author (e-mail: jesus.alvarez@unavarra.es).