What's the difference between columbarium and dovecote?

Columbarium

Definition:

Example Sentences:

(1) Alternatively, there is an average five-year wait for a small spot in a public columbarium, where thousands of urns of cremated ashes are stored.
(2) Amid the scramble to accommodate the urban dead, one Hong Kong-based design studio has developed a prototype for an off-shore columbarium island called “Floating Eternity”, which could hold 370,000 urns at sea.

Definition:

(n.) A small house or box, raised to a considerable height above the ground, and having compartments, in which domestic pigeons breed; a dove house.

Example Sentences:

(1) That is why active rethinkers such as Maurice Glasman or Liam Byrne , both of whom fluttered the Labour dovecote this week in different ways, should be celebrated.
(2) I used to live in one such flat, which I named dovecots (elsewhere – Euroboxes, or more rudely twat-flats).
(3) Stretch your legs on a great one-hour walk – the Dovecote Trail – which passes beautifully restored dovecote houses and rustic tavernas.
(4) In recent years 75% of abattoirs have closed, replaced, for instance, by Waitrose’s use of a central slaughterhouse at Dovecote Park, Yorkshire.
(5) A possible risk for the health of man can not be excluded if rooms are located directly in contact with dovecotes or garrets colonized with wild doves.
(6) Claims of this kind caused much fluttering in the parliamentary dovecotes on Tuesday and there is something in them that can’t be simply laughed off just because this time it’s the Tories’ turn to be on the receiving end.