  We present an investigation into the potential effect of systematics inherent
in multi-band wide field surveys on the dark energy equation of state
determination for two 3D weak lensing methods. The weak lensing methods are a
geometric shear-ratio method and 3D cosmic shear. The analysis here uses an
extension of the Fisher matrix framework to jointly include photometric
redshift systematics, shear distortion systematics and intrinsic alignments. We
present results for DUNE and Pan-STARRS surveys. We show that assuming
systematic parameters are fixed, but possibly biased, results in potentially
large biases in dark energy parameters. We quantify any potential bias by
defining a Bias Figure of Merit. We also show the effect on the dark energy
Figure of Merit of marginalising over each systematic parameter individually.
We find that the largest effect on the Figure of Merit comes from uncertainty
in the photometric redshift systematic parameters. These can reduce the Figure
of Merit by up to a factor of 2 to 4 in both 3D weak lensing methods, if no
informative prior on the systematic parameters is applied. Shear distortion
systematics have a smaller overall effect. Intrinsic alignment effects can
reduce the Figure of Merit by up to a further factor of 2. This, however, is a
worst case scenario. By including prior information on systematic parameters
the Figure of Merit can be recovered to a large extent. We conclude that, as a
rule of thumb, given a realistic current understanding of intrinsic alignments
and photometric redshifts, then including all three primary systematic effects
reduces the Figure of Merit by at most a factor of 2, but that in reality this
factor should be much less. [abridged]
