Woods, who lost for only the fourth time in his career after owning a piece of the lead heading into Sunday, remained atop the latest rankings followed by Phil Mickelson and Ernie Els.
Davis Love III, who played in the final group on Sunday for the third straight event at the Genuity Championship, moved up one to fourth. Lee Westwood, who shared 17th at Dubai, dropped to fifth.
Colin Montgomerie and David Duval switched places from a week ago, with the Scotsman taking sixth while Duval fell to seventh.
Vijay Singh and Hal Sutton, who shared third at the Genuity Championship, remained at eighth and ninth, respectively.
Tom Lehman hopped two spots to round out the top-10.
Darren Clarke held on to his 11th ranking from last week while Jim Furyk fell two notches to 12th. Nick Price stayed at number-13.
Bjorn leaped from 18th to number-14 followed by Canadian Mike Weir. Weir also vaulted four spots to 15th after his runner-up finish to Joe Durant at Doral.
Sergio Garcia slipped two as did Swede Jesper Parnevik. Garcia took 16th this week with Parnevik holding the 17th position.
New Zealand's Michael Campbell fell two to 18th while Ireland's Padraig Harrington climbed one to number-19. Stewart Cink, who held the second round lead at Doral before a disastrous weekend, dropped three to 20th.
Durant, who became the first multiple winner on the PGA Tour this season, flew up 40 places to 56th. He shattered the record books with his win at the Bob Hope Chrysler Classic last month and then came from four back to win the Genuity Championship.
Brad Faxon and Toshi Izawa finished this week among the top-50 in the World Golf Rankings, which gets them invitations to this year's Masters.
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