Stalled Cycle? Nitrite Repeatedly Spiking After Addition Of Ammonia

Hi,

I'm growing concerned that my fishless cycle may have stalled.  I'm only dosing to 1ppm.  I did a big (practically the whole tank) water change recently.  I originally added SafeStart right back when I first set up the tank, but didn't add any more after the water change, as things seemed to be heading in the right direction.  It seems as though the nitrite-removing bacteria aren't keeping up with the ammonia-eating ones.  Here's the last week-ish of data:

Day 13
30/8/17 - ammonia 0, nitrite 0.25  Then added ammonia -> 1ppm

31/8/17 - ammonia 0, nitrite 2

1/9/17 - ammonia 0, nitrite 0.25

2/9/17 - ammonia 0, nitrite 0  Then did massive water change and redosed to 1ppm

3/9/17 - ammonia 0-0.25, nitrite 1

4/9/17 - ammonia 0, nitrite 0.5

5/9/17 - ammonia 0, nitrite <0.25  Then added ammonia -> 1ppm

6/9/17 - ammonia 0-0.25, nitrite 2 

7/9/17 - ammonia 0, nitrite <0.25  Then added ammonia -> 1ppm

8/9/17 - ammonia 0, nitrite 2

Not sure if I need to do anything or just keep going?  Should I try the 1/3 dose of ammonia as per the fishless cycle guide (wasn't sure whether I should do this, due to only dosing to 1ppm anyway).  Add more SafeStart?

Any advice would be greatly appreciated!  Thanks.

It can take many weeks/months in some cases for a cycle to complete.  Don't get disheartened yet!! 

Thanks everyone.  I'll add some more SafeStart and see if that speeds things up a bit.  Really want to get on with getting some fish, although obviously need to get the bacteria right first!  I haven't been checking nitrates all that much, although I did check after the water change and they were reading at 40ppm (same as our tap water  - high, I know!).  I think my fishkeeping days are going to consist of endless water changes to keep on top of that!  I haven't checked pH since set-up, but it's normally 7.4-7.6 and quite hard water (15.5 gH) so I would hope a big pH drop would be unlikely.

@Dr Um my tap water nitrates are also 40ppm. I don't find it too much of a problem, and when you stock your tank with fish a few floating plants will help. My tanks that have floating plants have slightly lower nitrate readings than tap water.

Another thing you can do is test the tap water as well as a "control", and compare your tank water results to the colour of your tap water results. I tend to do this and work on the theory that as long as the colour of the tank results are the same (sometimes lighter with tanks that have floating plants) than the tap water results then it's ok.