Paris - With Wimbledon looming, Simona Halep, who was not in action last week, retained her comfortable lead atop the WTA Tour rankings ahead of Carolina Wozniacki, who also did not play.
There was no change in the top 10 as No 3 Garbine Muguruza and No 7 Karolina Pliskova made first round exits in Birmingham, while No 5 Elina Svitolina only reached the last eight.
Petra Kvitova gained no points for winning the event because she was the defending champion.
Lower down the list Elise Mertens jumps two places to No 15 despite also making a first-round exit in the Birmingham singles.
Top 20 in the latest WTA Tour rankings:
1. Simona Halep (ROM) 7 970 pts
2. Caroline Wozniacki (DEN) 6 745
3. Garbine Muguruza (ESP) 6 550
4. Sloane Stephens (USA) 5 463
5. Elina Svitolina (UKR) 5 250
6. Caroline Garcia (FRA) 4 960
7. Karolina Pliskova (CZE) 4 685
8. Petra Kvitova (CZE) 4 610
9. Venus Williams (USA) 3 971
10. Madison Keys (USA) 3 536
11. Angelique Kerber (GER) 3 460
12. Jelena Ostapenko (LAT) 3 392
13. Julia Gorges (GER) 3 210
14. Darya Kasatkina (RUS) 3 125
15. Elise Mertens (BEL) 2 635
16. CoCo Vandeweghe (USA) 2 603
17. Ashleigh Barty (AUS) 2 390
18. Naomi Osaka (JPN) 2 350
19. Magdalena Rybarikova (SVK) 2 310
20. Kiki Bertens (NED) 2 090