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New Zealand
Practice Relating to Rule 53. Starvation as a Method of Warfare
Section B. Sieges that cause starvation
New Zealand’s Military Manual (1992) notes that siege is not prohibited “even if it causes some collateral deprivation to the civilian population, so long as starvation is not the specific purpose”. 
New Zealand, Interim Law of Armed Conflict Manual, DM 112, New Zealand Defence Force, Headquarters, Directorate of Legal Services, Wellington, November 1992, § 504(2), footnote 9.
In a section on siege warfare, the manual further provides that, in such a situation, “provision is … made in [Article 23 of the 1949 Geneva Convention IV] for the passage … of essential foodstuffs, clothing, and tonics intended for children under 15, expectant mothers and maternity cases”. 
New Zealand, Interim Law of Armed Conflict Manual, DM 112, New Zealand Defence Force, Headquarters, Directorate of Legal Services, Wellington, November 1992, § 508(3).