Funds run by Mark Barnett, the successor to Neil Woodford at Invesco, suffered outflows of at least £1bn in the final quarter of 2019 despite an uptick in performance, raising doubts he has done enough to quell investor fears about his strategy.

Estimates from Morningstar, the funds analyst, suggest the three funds run by Barnett — Invesco Income, High Income and UK Strategic Income — had £1bn of net outflows between the end of September and the end of December.