I've only ever specified linear arrays before, so I apologize for what is likely a very basic question about transition probability specification in Program MARK. I work with fish, and I've set up a multi-state model to estimate survival of my fish in one of 3 routes as they migrate down a river (routes A, B, and C).
The point of transition is from Route A, where after a certain point a fish must do one of three things:
Stay in Route A (PsiAA)
Transition from A - B. (PsiAB)
Transition from A - C. (PsiAC)
A fish cannot go between route B and C, and both routes B and C eventually converge back to A. I've set up the PIM so that these transition probability parameters are set to either 0 or 1 at the appropriate encounter intervals.
My question is, how do I estimate PsiAA by subtracting both PsiAB and PsiAC from 1? When I open "Change PIM Definition", my three stratas pop up, but obviously I can only estimate a single Psi parameter in Route A by subtraction, and not two.
Would setting up a "dummy route" "D" where the transition of PsiAD = 0 is fixed, but I could then estimate PsiDB or PsiDC through subtraction (which would actually equal PsiAB and PsiAC, respectively) be a solution?
Thank you, please let me know if I have omitted any required information to help answer the question.