A new map has been released showing how the capital's rail network could look if Transport for London (TfL) takes control of the suburban rail network.

Existing London Underground and Overground stations would be joined up to suburban rail routes and Crossrail under the plans.

In January the Government agreed that franchises for parts of the network mostly within London should come under the control of the capital's transport bosses.

The proposals would mean suburban services operating into and out of stations such as Waterloo, Victoria, London Bridge and Charing Cross would be brought into the London Overground network, created in 2007.

London Mayor Sadiq Khan strongly supports rail devolution and promised to set out a formal business case over the next month.

He said: "Passengers on London's suburban rail routes simply aren't getting a good enough service. They face increasing rail fares year after year, yet face daily delays, cancellations and overcrowding.

"The Government has already agreed that devolving rail services would improve the daily commute for millions of Londoners. Ahead of the Autumn Statement, I'm looking forward to presenting the full business case for how a transformed and modernised suburban rail network could also unlock new homes and provide other substantial other economic benefits for London.

"As our new TfL map demonstrates, devolution will help us deliver a truly integrated transport network where rail passengers get the same standard of service and reliability they get on the Tube, allowing people to connect quickly with all parts of inner and outer London."

Transport bosses are taking the action in a bid to cope with increasing demand for rail travel as London's population is set to rise from 8.6 million today to 10 million by 2030.

Under the proposals, TfL will take responsibility for services that start and end in or near London when current franchises are up for renewal.

The first franchise that would come under the mayor's control would be the Southeastern suburban services in 2018, followed by the South Western franchise in 2020.

Southern, Thameslink and Great Northern's London services would not be transferred until 2021.

Commuters on the Southern network have suffered delays and cancellations for months as a result of industrial action over changes to the role of conductors and staff shortages, blamed by the company on high levels of employee sickness.