The best connections for GARL would be services from the north and east on the E & G line or from the West via Maryhill branch, down via Bellgrove and across city union. There are other options from WCML but none of the above will stop in Glasgow City Centre unless they reverse or a new station is built at the Gallowgate.
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GLC or GLQ, Partick, Hyndland, Anniesland, Springburn, Bellgrove, Paisley, Airport.
I forgot the points at Anniesland are being reinstated next year allowing access to the Maryhill line.
If you want a heavy rail link, GARL needs to go to the City Centre. Not Bellgrove. Not Gallowgate. And certainly not Possilpark. A service running from Bellgrove to Glasgow Airport is going to be very lightly loaded and completely pointless.
I have still yet to see a sensible proposal for service to the city centre. Glasgow Central is the obvious option, but we lack the capacity. Creating the capacity increases costs. Significantly. Crossrail completely bypasses the city centre, and the solution for getting to the city centre (a chord at Bellgrove) is going to be expensive and slow. It will add signifiant time onto peoples' journeys, and will simply feed traffic into another bottleneck at Patrick. As for running to Central LL, it's physically possible, but very impractical. Not least because you come within a quarter mile of the city centre, divert South for about 2 miles and do a u-turn.
Let's think for a moment about people getting to the airport. The first trains in the SPT area start at about 6am, on the whole. For lots of people, that will mean that using public transport for flights before 9am is simply not a viable option. 31 of 108 flights tomorrow will depart before 9am. That's a significant number of flights leaving Glasgow before most outbound passengers would be able to even get there using a rail link. The rail link won't significantly improve the service for these passengers, unless Scotrail start running trains at 4 or 5 in the morning. Similarly, in the evening, people will often arrive back home after their last trains/connections have left. For my parents who regularly fly to Tenerife (along with a quarter of a million other people - it's Glasgow's 3rd biggest destination), their flights usually meet both of these criteria. The reality is that people will continue to use their cars.
TBH, I think a simple light rail shuttle to Paisley Gilmour Street will suffice. It would be similar to the arrangement at New York's JFK airport and Newark Liberty Airport (both of which are far busier than Glasgow), and would feed into fast and frequent services at a major rail hub. Even though there is a connection, it would be well used if advertised.
I would like to see a direct rail service to the city centre, and I think the best way for this would be a service from the airport, through Renfrew, stopping at Govan/South Glasgow Hospital, perhaps Patrick interchange (new platforms would be needed), a new low level City Centre station, and perhaps thereafter onto the suburban lines to the North. Perhaps it could even connect onto the North Clyde Line to provide direct links to Lanarkshire and Edinburgh. This would connect well to most of the city through buses/subway/other trains.
And don't get me started about Edinburgh passengers. Like it or not, the biggest airport in the country is at Edinburgh. It has more passengers, more flights and more destinations. There is no need for Edinburgh passengers to come through to Glasgow. Those who do already drive. Those who don't won't be attracted by a slow train via Bathgate, Airdrie and The Gorbals.
However, realising the financial constraints we have, I think a light rail service to Paisley Gilmour Street is the best option we have.