In this work, a model is developed to treat threading dislocation (TD) redu
ction in (0001) wurtzite epitaxial GaN thin films. The model is based on an
approach originally proposed for (001) f.c.c. thin film growth and uses th
e concepts of mutual TD motion and reactions. We show that the experimental
ly observed slow TD reduction in GaN can be explained by low TD reaction pr
obabilities due to TD line directions practically normal, to the film surfa
ce. The behavior of screw dislocations in III-nitride films is considered a
nd is found to strongly impact TD reduction. Dislocation reduction data in
hydride vapor phase epitaxy (HVPE) grown GaN is well-described by this mode
l. The model provides an explanation for the non-saturating TD density in t
hick GaN films.