Do the Indian and Bangladeshi communities have different customs regarding surnames that would lead to a more homogenous naming. Because the results seem disproportionate and shrink massively if you move the slider to the 2nd most popular name or further.
If you want a better picture of the relative sizes of UK ethnic groups by district (amongst many other demographic factors) then the interactive map at www.censusprofiler.org is awesome.
See if you can spot the Cohen island in N-NW London. I lived in that area for a bit, and around Golders Green and Stamford Hill there's a large Jewish community, many of them orthodox.
This beautifully illustrates Thomas Schelling's racial segregation model, for which he coined the term "Tipping Point" 30 years before Malcolm Gladwell popularized it:
Schelling, T. (1969). Models of segregation. The American Economic Review, 59(2), 488-493
(Schelling won the Nobel Prize in economics in 2005)
The next generation moves away form these ghettos and assimilates into the rest of London, after a few generations there are only hotspots of the original immigrants left in these places and then usually only if there are strong religous reasons.
If you go into London through the east end (Brick lane etc) the names of pubs are Huguenot (from early 1800s) then there are names of Jewish merchants and tailors on the top floors of buildings (from the early 1900s) then the ground floor is now Bangladeshi.
Is there any significance to the distribution of the "Welsh" names? They appear a bit more central, but not especially. Perhaps at one time they were the poorer, more centrally located 'immigrants', but have since spread out?
Difficult to draw too many conclusions from that since whilst Jones and Williams are more common in Wales, the vast majority of British people with those surnames are English. Jones and Williams are the second and third most popular names in most of the outer suburbs too. If there's any pattern here it's more likely to be the reverse; the density of very English Smiths is much greater in the outer suburbs.
The nationalistic Welsh will tell you they are the real british people, but displaced and pushed westwards (into what is now Wales) by the Romans, Normans, Anglo Saxons etc. So a name might be mostly Welsh now, but the people with that name might have lived in that area for a very long time,
In the 15thC a Welshman took the throne of England (Henry VII) and brought a lot of fellow countrymen into court with him, so they needn't have been poorer immigrants
I found it interesting that a couple of zoom levels down, you can see a big cluster of Irish names on the Brent side of the Kilburn High Road, and another in W7.