I suppose the 'correct' way to do it would be to have one DC/DC per power input. It could then be a question of control if they are all feeding, say, a battery that is a relatively stiff voltage, but whether or not it is a problem would need some knowledge of the actual sources from which you are scavenging. A discontinuous current boost converter gives you some level of "power" control, which with something like a PV cell, having a very soft IV characteristic, allows you to vary the duty cycle and pick up on the maximum-power-point. In contrast, if you have a source that is a stiff voltage or current source, you would need to be able to determine the operating current to control the boost and ensure you're making the most of the source.
You can connect the rectifiers in series, but then, similar to the voltage problem in parallel, the total output will be limited, by the lowest current. But again, there'll be solutions to it, but need to know the nature of the sources from which you're scavenging.