Yes.

This all sounds like administrators are destroyed along with ships that get destroyed. Why should this be? Do the administrators travel in the ships?

Also, if a constructor creates a starbase, does the constructor's administrator get destroyed when the constructor gets consumed and an unused administrator get assigned to the starbase? This is something I have not been seeing happen. Same for colony ships and new colonies? Again, I have not been seeing this happen. In both these cases it looks like the administrator shifts from the ship to the starbase or planet. It looks to me like an administrator is assigned to a constructor or colony ship to ensure that there is an administrator to assign to the starbase or colony created by the ship.

This seems board-gamey to me.  (And I'm a huge board game player).  Think of it this way:  Each administrator gives you a certain number of Administration Points.  Think of them however you like.  Each one is a person, each one is political capital, each is a signature on a form that allows the government to do something, each one is simply an action point that is a cost for some action.  Once you make a survey ship, you've burned one of your persons/capital/signatures/points such that you can only do that action one fewer times.

So in the case of a survey ship being destroyed:  Mr/s. Administrator used her influence to send out a survey ship, despite others in the government not wanting that to happen.  It heads out into the galaxy, only to be destroyed.  Various other politicos in the government say, "We told you so," and s/he doesn't have the political capital to send yet another survey ship out to its doom.  

It's a very gamey thing, and I'm very happy to have it as a mechanic. 

In short, think of administrators as political capital rather than actual persons heading out on this ship or that station.  (It's how I think of all the "Citizens".)

Erf.

To prevent player from "game" it. This is respond from Developer himself. There is a long discussion about it in Steam Forum but i can't find the thread now.

It assure you. It is intention to be like this. This does not mean it can't be change in the future. Dev do gave an easy fix for this if you don't like how it work currently. Mod the game file and give 9999999999999 admin instead. AI also benefit from this however.

Definately agree with this. If the current model is going to remain, I think a reflavor of administration is a key point.

Right now its flavored as a continuous resource instead of a spent one. Heck even the drop down on that resource shows you what is using administration...which re-enforces the idea that it's being committed instead of consumed.

The flavor needs to re-gear it to a consumable resource just like elerium. Administrators are auto promoted to give administration and then they are gone. Administration isn't tracked, it's just spent like any other resource.

then it makes sense when my starbase dies I don't get the resource back, just like I don't get elerium back when my laser ship is killed

I don't really agree with Stalker0 that a revamp of how admins are generated is needed.  You already have a potential supply of administrators every 10 turns (similar to how a source of a resource at .1/t would yield 1 after 10 turns) - but it's up to you whether you replenish that resource or choose something else.

If a ship is destroyed how exactly would the administrator on it survive?  Destroyed is kind of a finality.

I suppose there could be some tiny chance of an escape pod or maybe an escape pods ship part you could build into your ships to provide that tiny chance.

There was some debate about getting admins back when decommissioning things that require admins, and that seems somewhat reasonable with travel times as when assigning some of the citizens or something.

Note, in my previous post I was not changing how administration currently works. I was simply reflavoring it to be more in line with how they work now.

Right now, administration is simply a consumable resource, just like elerium, durantium, thulium, etc. I spend administration to get things (survey ships, colony ships, constructor ships). Once that resource is spent, it is gone.

The drop downs and flavor imply that administration is "something special" and sticks around in some way. But its not, that administration is gone the second you use it, and it never comes back.

Now if we want to change administration to come back in some way than great. But as is, I think it needs some reflavouring so its use is more understandable to players.