The American also suggested the calendar should feature an updated 'Asian Tour' grouping the key races in the region — Japan, Singapore, China and other venues to be determined such as Thailand.
"The grand prix in Shanghai is already well established, but we should explore the possibility of a race in another major city, such as Beijing, or a street race in a city like Wuxi, a place that's growing ambitiously and enormously," Brown wrote on a Linkedin Pulse blog.
Vettel, Hamilton rivalry moves to Austria
"I also think the Shanghai Grand Prix, which is held at one of the most impressive and opulent bespoke racetracks in the world, characterises Formula One as being very exclusive and expensive."
Formula's One new owners Liberty Media see China as a key growth area and this week announced a partnership with sports marketing agency Lagardere to secure strategic partners.
Brown also suggested the start times of some traditional races could be tweaked for an Asian audience, just as many of the long-haul races are scheduled for the European early afternoon.
"One of the criticisms I hear from fans in places like China and Japan is that the races are always shown in the middle of the night [if at all], so the sport tends only really to gather a hardcore and dedicated fan base," he said.
"Perhaps we need to look at some of the timings of some of the conventional races, and see where there are opportunities to perhaps tweak the schedules so as to create a window of opportunity for our fans in Asia."
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