Nearest and higher neighbor distances as well as bond length distributions (static and thermal) of the InxGa1−xAs (0 ≤ x ≤ 1) semiconductor alloys have been obtained from high real-space resolution atomic pair distribution functions (PDFs). Using this structural information, we modeled the local atomic displacements in InxGa1−xAs alloys. From a supercell model based on the Kirkwood potential, we obtained 3-D As and (In,Ga) ensemble averaged probability distributions. This clearly shows that As atom displacements are highly directional and can be represented as a combination of 100 and 111 displacements. Examination of the Kirkwood model indicates that the standard deviation (σ) of the static disorder on the (In,Ga) sublattice is around 60% of the value on the As sublattice and the (In,Ga) atomic displacements are much more isotropic than those on the As sublattice. The single crystal diffuse scattering calculated from the Kirkwood model shows that atomic displacements are most strongly correlated along 110 directions. 61.72.Dd,61.43.Dq,61.43.Bn,61.12.Ld