Overkill, I know, but FWIW, another chart:
Israel fell into the orange area which, according to the legend, meant the March 31 crescent was "visible to the naked eye under perfect conditions." This chart probably wouldn't have been available to the researchers at the Writing Department when the article was put together, but a pdf showing new crescent visibility in Mecca (slightly east of Jerusalem in longitude) would have been available from the same astro.ukho.gov.uk site.