(Adds details, context)
By Maher Chmaytelli and Isabel Coles
BAGHDAD, SOUTH OF MOSUL, Iraq, Feb 19 (Reuters) - U .S.-backed Iraqi forces began moving on Sunday towards Mosul's airport, the first target of a ground offensive to capture the western side of the city that remains under control of Islamic State, the Iraqi military said.
Iraqi Prime Minister Haider al-Abadi earlier on Sunday announced the formal start of a ground offensive on western Mosul, asking the Iraqi forces to ''respect human rights'' during the battle.
Islamic State militants are essentially under siege in western Mosul, along with an estimated 650,000 civilians, after U.S.-backed forces surrounding the city forced them from the east in the first phase of an offensive that concluded last month.
Iraqi federal police units are leading a northward charge on the Mosul districts that lie west of the Tigris river, aiming to capture the Mosul airport, located just south of the city, according to statements from the armed forces joint command.
They captured several villages and a local power distribution station in the first hours of their progress and killed several militants including snipers, the statements said.
“Mosul would be a tough fight for any army in the world,” the commander of the U.S.-led coalitions forces, Lt. Gen. Stephen Townsend, said in a statement.
Iraqi planes dropped millions of leaflets on the western side of Mosul warning residents that the battle to dislodge Islamic State was imminent as troops began moving in their direction, the Iraqi Defence Ministry said on Saturday.
Up to 400,000 civilians could be displaced by the offensive as residents of western Mosul suffer food and fuel shortages and markets are closed, United Nations Humanitarian Coordinator for Iraq Lise Grande told Reuters on Saturday.
Commanders expect the battle in the west to be more difficult than in the east because tanks and armoured vehicles cannot pass through its narrow streets and alleyways.
The militants have also developed a network of passageways and tunnels that will enable them to hide and fight among the civilians, disappear after hit-and-run operations and track government troop movements, according to residents.
Western Mosul contains the old city centre, with its ancient souks, Grand Mosque and most government administrative buildings.
It was from the pulpit of the Mosul Grand Mosque that Islamic State leader Abu Bakr al-Baghdadi declared a "caliphate" over parts of Syria and Iraq in 2014.
The city -- Iraq's second biggest -- is the largest urban centre captured by Islamic State in both countries and its de facto capital in Iraq. Raqqa is its capital in Syria.