Analysis of perhaps local crisis in government initially (6-9)
I believe the answer is:
number-crunching
'analysis of perhaps local crisis in government initially' is the definition.
I can't judge whether this defines the answer.
'perhaps local crisis in government initially' is the wordplay.
'perhaps local' becomes 'number' (I am not sure about this - if you are sure you should believe this answer much more).
'crisis' becomes 'crunch' (eg credit crunch).
'initially' suggests taking the first letters.
The first letter of 'government' is 'g'.
'number'+'crunch'+'in'+'g'='NUMBER-CRUNCHING'
Can you help me to learn more?
(Other definitions for number-crunching that I've seen before include "Performing large numbers of calculations" , "Making lots of calculations" .)