Are there any actual rail bus "connections"? A connection in my book is where the bus waits for the train and vice versa. Obviously there has to be a cut off limit and it should not apply to places with frequent bus services or trains to the same place where getting a 10 minute earlier service or just missing a 10 minute frequency service is not a big deal. It is also impracticable for trains to wait for every bus all along their route. However this country should do more to have more joined up bus/train operation particularly in areas not served frequently by bus or train. In practice you have to take an earlier bus than needed to have a better chance of catching a train and to allow for a late bus or one not turning up at all. In my view there should be integrated bus /train tickets for any journey (other than for urban journeys) so if the bus fails to make a connection and you have bought an advance ticket you can get the next train without penalty. I think we are a fair way off achieving this. It would certainly speed up any journey I make from my home town when I have to build in allowances for busses not running to time.
Some do exist in this country, just not in great numbers.
I don't travel by bus much nowadays but I have certainly seen them all over the country, from Cumbria to Dorset and Devon.
It reminds me of an occasion over 10 years ago now, when the hourly 31 (no idea whatever fancy name it is known as these days) between Weymouth and Axminster would wait at Dorchester South for up to 10 minutes for the hourly service from London. I got to Poole station, and within a couple of minutes, boarded what I thought was the train I planned to catch to Dorchester. At Dorchester South I got on the bus, which was the last one of the day, 1905 I think it was, and the driver asked me if it were the train from London. I replied "yeah" and we departed promptly. Bear in mind there were no modern CIS boards in those days and the departure screen was inside the, by then locked, booking office.
As we just about left Dorchester onto country roads, the bus controller came through on the radio, and the driver was asked where the hell he was because there were 10 people waiting at the station. As it turned out, the train I caught was the one from two hours earlier, and we obviously left all the connecting passengers behind.
Cue another U-turn to get back to the station to pick up the angry punters.
