King moves five places with a career-high rating of 698, edging teammate Ash Gardner, forced to drop a spot to third (689).
Nashra Sundhu of Pakistan creeps into a tie of 10th with fellow left-arm orthodox spinner Nonkululeko Mlaba (610), while fast bowlers Marizanne Kapp and Annabel Sutherland also make one-spot hops to fourth and seventh respectively.
Another exponent of left-arm orthodox, Linsey Smith was the biggest mover in the week, up 24 spots to 36th (444).