  The solar dipole moment at activity minimum is a good predictor of the
strength of the subsequent solar cycle. Through a systematic analysis using a
state-of-the-art 2$\times$2 D solar dynamo model, we found that bipolar
magnetic regions (BMR) with atypical characteristics can modify the strength of
the next cycle via their impact on the buildup of the dipole moment as a
sunspot cycle unfolds. In addition to summarizing these results, we present
further effects of such "rogue" BMRs. These have the ability to generate
hemispheric asymmetry in the subsequent sunspot cycle, since they modify the
polar cap flux asymmetry of the ongoing cycle. We found strong correlation
between the polar cap flux asymmetry of cycle i and the total pseudo sunspot
number asymmetry of cycle i + 1 . Good correlation also appears in the case of
the time lag of the hemispheres of cycle i + 1.
