EGBK
We are getting away from the point of your question and your subsequent amplification. Spitoon is spot on - Rule 20 para (2) of the Rules of the Air (the law of the land) puts the responsibility on the aircraft operator. However, you obviously have to be reasonable and provide facilities for such notification if, for example, the A/G radio is not manned all the time. An available telephone or Booking In/Out document in a briefing office would be reasonable.
The only way to discover what the precise requirements are for keeping movement records is not via PPrune but to consult CAA SRG Aerodrome Standards Department. I believe - repeat believe - that HM Customs and the Police might have some requirements/input on this subject for some of the very reasons highlighted above.
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