I think that has come up several times. These ties from the previous system are unacceptably short. How is a player supposed to read them?
Is there any way to lengthen them without tediously using Engrave Mode for dozens and dozens of occurrences? Odd that Dorico seems to fall down in this area. I looked as hard asa I could for an engraving option to no avail.
It’s the same kind of problem you get with slurs on grace notes… I think Daniel already wrote they had this on their list.
@MarcLarcher good to know. Surprising that this slipped through so many releases. Anyway, I look forward to a better treatment of this aspect. Line breaking is hard. It’s hard to implement in Lilypond also.
It’s not a question of “slipping through” – it’s complicated to achieve because it requires intervention at the point at which the music is being spaced. It’s trickier than it seems because of the circular nature of casting off and spacing (each affects the other). A similar problem exists with cautionary accidentals that need to be added at the start of a new system: Dorico can’t add these at the moment automatically because it needs to know where the start of the system is while it’s spacing in order to add the accidental, which will itself then have an impact on spacing, which can in turn have an effect on casting off, which can (in the case of a system near the end of the flow) even cause a previous system to be re-cast off.
I think it might be possible somewhere to increase the space before the first note on a system.
Yup, the only way I’ve found is to manually add a little space at the beginning of every system with starting ties (in Engrave mode, after everything is locked in place). It’s a question I asked a long time ago, too, in this forum post: How to control the length of ties at the beginning of lines?
What I believe we need is one more spacing gap preference, one only dealing with beginning-of-line “first note” distance (the spacing between the initial clef, key signature, or meter—whichever comes last—and the note, rest, or repeat barline that follows—whichever comes first). 
Just tell those stoner musicians to pay attention. 
Just kidding–as a player I overlook these sometimes.
Lilypond has the same problem for the same reasons.