  Concave in measure and d-concave in measure nonautonomous scalar ordinary
differential equations given by coercive and time-compactible maps have similar
properties to equations satisfying considerably more restrictive hypotheses.
This paper describes the generalized simple or double saddle-node bifurcation
diagrams for one-parametric families of equations of these types, from which
the dynamical possibilities for each of the equations follow. This new
framework allows the analysis of ``almost stochastic" equations, whose
coefficients vary in very large chaotic sets. The results also apply to the
analysis of the occurrence of critical transitions for a range of models much
larger than in previous approaches.
