"Units with low morale"

[Wintermute]

Is there any point in that message? I KNOW there's low morale - they are sitting on top of psynumbra rift. Or is there any way to improve morale on overworld map?

[tequila]

It tells you what it does. Units with low morale have a certain %-chance to desert with each turn, depending on how low it is. There are a number of things you can do to improve morale. For example; popular support (having a minor/major casus belli against someone you're at war with), hero skills, some doctrines..

The morale debuff is rather high for terrain hazards like the Abyssal Tear you're referring to, so it's generally better not to stay too long in that sector.

[neil]

Leave the sector or remove the hazard are options

[The Old Guy]

So the message regarding my Prospector (the first time I have received this message) is due to the sector it is currently in and I can fix this by moving on?

[blackhand_lost]

On the unit's screen you can hover over the big blue(or red) face picture and see what exactly is affecting your unit's morale.

The most common reason so far on the strategic map is an anomaly in the sector, so you can just move your prospector away

[Blastom]

If the unit deserts, it's better to have the message than never.