The ability to understand and/or predict the physical properties of po
lymers is important in efforts to help reduce erosion in irrigated lan
d by treating irrigation water with minute amounts of certain polymers
. The key properties of polymers for this application (water solubilit
y and water absorption capability, dilute solution properties, and sta
bility) are discussed. Methods used to predict the properties of polym
ers include quantitative structure-property relationships, statistical
mechanical theories, atomistic simulations, and quantum mechanical ca
lculations. Each general method is best applied to different types of
problems. For example, combination of quantum mechanical calculations
and atomistic simulations may shed light on the solution conformation
of a polymer and hence on its soil activity. On the other hand, a new
method, based mainly on topological descriptors called connectivity in
dices, predicts key polymer physical properties very rapidly from the
structures of polymeric repeat units via empirical and semi-empirical
quantitative structure-property relationships. This new method can be
used for the overall evaluation of the potential of candidate polymers
for erosion reduction. Applications of this method to polyacrylamide
and structural variants and copolymers are discussed. An outlook is pr
ovided for the future of applications of computational chemistry to wa
ter-soluble polymers. It is suggested that significant future advances
can be expected from further developments of each of the different ty
pes of theoretical methods, as well as from their more synergistic and
interdisciplinary utilization.