  The Karma asteroid family is a group of primitive asteroids in the middle
part of the main belt, just at the outer edge of the 3J:1A mean-motion
resonance. We obtained the list of the family members with 317 asteroids and
estimated that it was formed by the catastrophic disruption of a parent body
that was between 34 and 41 km in diameter. Based on the V-shape method, age of
the Karma family is estimated to be about 137 Myr. A detailed dynamical map of
the region combined with numerical simulations allowed us to reconstruct the
long-term dynamical evolution of the family, and to identify the mechanisms
responsible for this evolution. The numerical simulations successfully
reproduced the main features in the orbital distribution of the family members
but also showed that some regions of the Karma family could be missing. A more
detailed analysis revealed that these regions likely consist of very dark
objects, fainter than absolute magnitude H = 17, that have not yet been
detected. Based on the obtained results, we concluded that magnitude-frequency
distribution of family members up to H = 16 mag is neither affected by
dynamical erosion nor observational incompleteness and therefore represents the
result of collisional grinding of the original family population. Finally, we
found that the Karma family have been supplying some asteroids to the
near-Earth region via the 3J:1A resonance. Currently, there should about 10
family members larger than 1 km in diameter, orbiting in the near-Earth space.
