  The method of derivative based global sensitivity measures (DGSM) has
recently become popular among practitioners. It has a strong link with the
Morris screening method and Sobol' sensitivity indices and has several
advantages over them. DGSM are very easy to implement and evaluate numerically.
The computational time required for numerical evaluation of DGSM is generally
much lower than that for estimation of Sobol' sensitivity indices. This paper
presents a survey of recent advances in DGSM concerning lower and upper bounds
on the values of Sobol' total sensitivity indices $S\_{i}^{tot}$. Using these
bounds it is possible in most cases to get a good practical estimation of the
values of $S\_{i}^{tot} $. Several examples are used to illustrate an
application of DGSM.
