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The floating fraction Phi initially decreases with distance from the grounding line,
Initial decrease in Phi is reflected in increasing ice thickness approaching the grounded ice sheet.
Increase in Phi at large x indicates decoupling of the ice from the bed approaching the ice sheet.
Why would this happen????

Conclusion
Force balance approximation may break down near the fjord head-wall, where ice flowing from higher ground is stretched like taffy.
The reduction in bed coupling appears as an increase in Phi .
Increase in bed slope may decouple ice from its bed due to increasing gravitational force component.
sull analysis requires higher-order holistic treatment including:
          *mass balance
          *side shear stress
          *compression and tension forces
          *topography
Yet, simple derivation of Phi provided insight into ice stream dynamics.