A thick grey haze has enveloped India's capital as air pollution hit hazardous levels, prompting officials to ask schools to shut down and a half-marathon scheduled for later in November be called off.

The readings of the government's air quality index hovered between 350 and 450, indicating that the health impact of breathing the air is "severe". The highest reading on the Central Pollution Control Board's index is 500.

As winter approaches, a thick, soupy smog routinely envelops most parts of northern India, caused by dust, the burning of crops, emissions from factories and the burning of coal and piles of garbage as the poor try to keep warm.

Over the past two years, New Delhi has become one of the world's most polluted cities.

On Tuesday, Belgium's King Philippe and Queen Mathilde, in India on a week-long state visit, inspected a military guard of honour at the sprawling presidential palace in New Delhi under a cover of smog that hampered visibility.

As the haze settled over the city, many people covered their faces and noses with scarves to try to protect themselves. Arvind Kejriwal, the capital's top elected official, asked the education department to consider closing down schools.

The Indian Medical Association said New Delhi was in the midst of a "public health emergency" and appealed to the city government to halt sports and other outdoor activities in schools.

The association also said the Delhi Half Marathon, scheduled for November 19, is likely to leave runners especially badly hit because the air quality is worst during the early part of the day, when the run takes place.

The sharp drop in air quality is most dangerous for the elderly, children and those already suffering from respiratory ailments. Constant exposure to pollution also reduces lung functionality for healthy adults over a period of time.

According to a recent report by The Lancet medical journal on the impact of pollution across the world, one out of every four premature deaths in India in 2015, or 2.5 million, was attributed to pollution.

Delhi has struggled to introduce pollution control measures over the last two years. It has tightened vehicle and factory emission norms and reduced the number of cars on the roads on the worst-hit days, but it has had a hard time enforcing laws on crop burning, garbage fires and construction dust.

Mr Kejriwal said on Twitter on Tuesday that his government had written to ministers in the neighbouring states of Punjab and Haryana demanding an end to crop burning there, but that little had been done.

"All of us together have to find a (solution) to this," he tweeted, adding that the city becomes a "gas chamber for almost a month" every year.

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