We have what we call "Distance" which means the further you are from your home city, the less effective your wack and defense are.

Because you can change your home city at any time, there is a ramp up period where you slowly ease into the new city ant its stats.

The longer you are a resident of the new city, the less the distance matter.  The total conversion is 7 days.  This prevents someone from just hopping around for full wack stats in whatever location they are in.   If you move from the Hypothetical city of ShitsCreek and move down to East JaBip, lets say the distance between them means there is a 50% debuff of the portion of wack that is affected by distance. 

This applies to every player in 99.9% of situations, regardless of if they are a gangster, goomba, former CL, current CL, or about to be a CL.

Assumption: Previous City To New City = 50% Debuff To Wack Distance Adjustment
        
Hour    1    50.30%
Hour    10    52.98%
Hour    20    55.95%
Hour    30    58.93%
Hour    40    61.90%
Hour    50    64.88%
Hour    60    67.86%
Hour    70    70.83%
Hour    80    73.81%
Hour    90    76.79%
Hour    100    79.76%
Hour    110    82.74%
Hour    120    85.71%
Hour    130    88.69%
Hour    140    91.67%
Hour    150    94.64%
Hour    160    97.62%
Hour    167    99.70%
Hour    168    MuggleNoMo

As you can see, every hour that goes by, you experience 1/168th less of a debuff.  At the 7 day mark (168h) you are 100% full blooded East Jabippian and get 100% normal wacks in that area without your distance on local shots being afffected.  If you you shoot from other areas, your math now is solidly rooted in East Jabips location for measuring distance., and math is based on that area as your home city.