  Let $X$ be a closed hyperbolic surface and $\lambda, \eta$ be weighted
geodesic multicurves which are short on X. We show that the iterated grafting
along $\lambda$ and $\eta$ is close in the Teichmueller metric to grafting
along a single multicurve which can be given explicitly in terms of $\lambda$
and $\eta$.
  Using this result, we study the holonomy lifts $gr_{\lambda}\rho_{X,\lambda}$
of Teichmueller geodesics $\rho_{X,\lambda}$ for integral laminations $\lambda$
and show that all of them have bounded Teichmueller distance to the geodesic
$\rho_{X,\lambda}$. We obtain analogous results for grafting rays.
  Finally we consider the asymptotic behaviour of iterated grafting sequences
$\gr_{n\lambda}X$ and show that they converge geometrically to a punctured
surface.
