I found this over on another forum and the points brought up are well thought out and does bring up some rather interesting points
The Federation has 100 member worlds and an unknown number of colonies.
For the sake of simplicity, let's say member planets and the colonies that are based from each have an average population of 10 billion beings.
10 billion people X 100 member worlds = 1 trillion total population (American trillion)
Let's say that 1 out of every 1000 people are active uniformed service personnel.
1 trillion people / 1 thousand = 1 billion active uniformed service personnel of all branches.
That sounds like a lot, right? Not quite. You just aren't imagining the scale. The United States military as of 2006 had a ratio of 4.76 active military for every 1000 population (and a 2.89 reservists for every 1000 population -- derived from the active troop ratio and reserve troop numbers available on globalsecurity.com). Just for comparison, a relatively de-militarized Japan has 1.88 active military per 1000 population and a heavily militarized North Korea has 44.6 active military per 1000 population.
One active uniformed personnel per 1000 population doesn't seem that much anymore, does it? (especially considering that we may or may not include the Federation Postal Service, local police forces, and the like in our numbers). This is the 24th century, and not the 21st century, and one could argue that the Federation wouldn't need as many personnel per 1000 population. Maybe or maybe not. I can only go by what I know. I no longer have the statistics on me, but I remember seeing in one of my books that the even the the Roman Empire generally had a similar military/population ratio to today -- The only thing that has significantly changed was the combat soldier/support soldier ratio.
Assuming that the numbers are correct, I broke down the total numbers into branches using the US military as a model.
Planetary Forces (combined forces of the individual member planets -- may be a combination of combat-trained soldiers, paramilitary police, and other planet-based uniformed services):
Based on the US Army, Army Reserve, and Army National Guard.
360 million total active. Average 3,600,000 per member planet.
390 million total reserve. Average 3,900,000 per member planet.
*75 million combat troops. Average 750,000 per member planet.
5,400 active divisions. Average 54 per member planet.
2,700 reserve divisions. Average 27 per member planet.
*Based on a ratio of 1 combat personnel for every 10 total personnel.
Remember the above is based on a population of 10 billion. Imagine if the People's Republic of China of 2006 only had 360,000 active soldiers, 390,000 reservist soldiers, and a total of 8 combat divisions.
Planetary Fleets (combined forces of individual member planets -- may be a combination of security, customs, rescue, and other space-based uniformed services)
Based on the US Air Force, Air Force Reserve, Air National Guard, Coast Guard, Coast Guard Auxilliary, and the Federal Republic of Germany's Navy.
235 million total active.
130 million total reserve.
*77,000 total ships. Average 770 per member planet.
12,320 total Light Cruisers. Average 120 per member planet.
16,940 total Destroyers. Average 170 per member planet.
8,470 total Escorts. Average 85 per member planet.
1,540 total Lander Transports. Average 15 per member planet.
37,730 total Auxiliaries. Average 380 per member planet.
*Uses the ship/personnel ratio of the Federal Republic of Germany Navy, a standard coastal navy as of 2006. The ship breakdowns are also based on the Federal Republic's Navy. I use these numbers because based on what we see on-screen, the crewing of a starship is similar to an equivalent sea-going ship of today (which I find weird, but whatever). The ship classifications are only for easier reference and have no real meaning
Light Cruiser - A smaller multi-role ship that can operate independently (New Orleans, Intrepid?)
Destroyer - A multi-role ship that can operate longer distances with support (Miranda)
Escort - A short-range ship (whether there is support or not) (Defiant, Saber)
Lander Transport - Planet-capable transport (Sydney?)
Auxiliary - Refuelling, Repair, Hospital, etc (Oberth, Nova, Olympic)
Spaceborne Planetary Service (Federation equivalent of a federal Army, Starfleet landing force, or combination of both)
Based on the US Marine Corps
125 million total active.
28 million total reserve.
14.3 million combat troops.
1,500 combat divisions. Can station 2 divisions in half of the member planets, 1 division in the rest.
Starfleet (Might also include non-Starfleet federal space services)
Based on the US Navy.
260 million active.
60 million reserve.
*64,000 total ships
7,000 Battleships
2,560 Battlecruisers
5,760 Heavy Cruisers
12,160 Light Cruisers
9,600 Destroyers
7,000 Escorts
2,560 Lander Transports
17,280 Auxiliaries
*Uses the ship/personnel ratio of the US Navy, a multi-ocean navy as of 2006. The ship breakdowns are also based on the US Navy. The ship classifications, as with above are just for easier reference
Battleship - The best and largest ships -- an actual "line of battle ship" has no meaning in Starfleet. (Galaxy, Ambassador, Sovereign)
Battlecruiser - A ship with similar capabilities as a "Battleship", except limited in some way -- such as size, range, or whatever. Still "better" than a cruiser. (Akira, Nebula)
Heavy Cruiser - A larger multi-role ship that can operate independently. (Excelsior as of 24th century)
Just for reference, I consider Starfleet to be a combination of the US Navy, US Coast Guard, NASA, and US Geological Survey -- with a greater emphasis on the last three.
These numbers have already caused a pretty big argument, and only 3 people have seen it so far.
One person believes it is wrong and was outraged.
One person thought the numbers were okay, but were not in the spirit of Star Trek.
One person thought the numbers were reconcilable with a pacifistic UFP (though doesn't make sense canonically).
I think these numbers would be somewhat "realistic", but on-screen evidence shows a considerably tinier Starfleet -- I think everyone can agree with that. I also recognize that this is completely based on the assumption that the Federation and its uniformed services operate in the same way as a 21st century nation (especially the USA)-- we all (yes, including me) have arguments on how that isn't necessarily so
The Federation has 100 member worlds and an unknown number of colonies.
For the sake of simplicity, let's say member planets and the colonies that are based from each have an average population of 10 billion beings.
10 billion people X 100 member worlds = 1 trillion total population (American trillion)
Let's say that 1 out of every 1000 people are active uniformed service personnel.
1 trillion people / 1 thousand = 1 billion active uniformed service personnel of all branches.
That sounds like a lot, right? Not quite. You just aren't imagining the scale. The United States military as of 2006 had a ratio of 4.76 active military for every 1000 population (and a 2.89 reservists for every 1000 population -- derived from the active troop ratio and reserve troop numbers available on globalsecurity.com). Just for comparison, a relatively de-militarized Japan has 1.88 active military per 1000 population and a heavily militarized North Korea has 44.6 active military per 1000 population.
One active uniformed personnel per 1000 population doesn't seem that much anymore, does it? (especially considering that we may or may not include the Federation Postal Service, local police forces, and the like in our numbers). This is the 24th century, and not the 21st century, and one could argue that the Federation wouldn't need as many personnel per 1000 population. Maybe or maybe not. I can only go by what I know. I no longer have the statistics on me, but I remember seeing in one of my books that the even the the Roman Empire generally had a similar military/population ratio to today -- The only thing that has significantly changed was the combat soldier/support soldier ratio.
Assuming that the numbers are correct, I broke down the total numbers into branches using the US military as a model.
Planetary Forces (combined forces of the individual member planets -- may be a combination of combat-trained soldiers, paramilitary police, and other planet-based uniformed services):
Based on the US Army, Army Reserve, and Army National Guard.
360 million total active. Average 3,600,000 per member planet.
390 million total reserve. Average 3,900,000 per member planet.
*75 million combat troops. Average 750,000 per member planet.
5,400 active divisions. Average 54 per member planet.
2,700 reserve divisions. Average 27 per member planet.
*Based on a ratio of 1 combat personnel for every 10 total personnel.
Remember the above is based on a population of 10 billion. Imagine if the People's Republic of China of 2006 only had 360,000 active soldiers, 390,000 reservist soldiers, and a total of 8 combat divisions.
Planetary Fleets (combined forces of individual member planets -- may be a combination of security, customs, rescue, and other space-based uniformed services)
Based on the US Air Force, Air Force Reserve, Air National Guard, Coast Guard, Coast Guard Auxilliary, and the Federal Republic of Germany's Navy.
235 million total active.
130 million total reserve.
*77,000 total ships. Average 770 per member planet.
12,320 total Light Cruisers. Average 120 per member planet.
16,940 total Destroyers. Average 170 per member planet.
8,470 total Escorts. Average 85 per member planet.
1,540 total Lander Transports. Average 15 per member planet.
37,730 total Auxiliaries. Average 380 per member planet.
*Uses the ship/personnel ratio of the Federal Republic of Germany Navy, a standard coastal navy as of 2006. The ship breakdowns are also based on the Federal Republic's Navy. I use these numbers because based on what we see on-screen, the crewing of a starship is similar to an equivalent sea-going ship of today (which I find weird, but whatever). The ship classifications are only for easier reference and have no real meaning
Light Cruiser - A smaller multi-role ship that can operate independently (New Orleans, Intrepid?)
Destroyer - A multi-role ship that can operate longer distances with support (Miranda)
Escort - A short-range ship (whether there is support or not) (Defiant, Saber)
Lander Transport - Planet-capable transport (Sydney?)
Auxiliary - Refuelling, Repair, Hospital, etc (Oberth, Nova, Olympic)
Spaceborne Planetary Service (Federation equivalent of a federal Army, Starfleet landing force, or combination of both)
Based on the US Marine Corps
125 million total active.
28 million total reserve.
14.3 million combat troops.
1,500 combat divisions. Can station 2 divisions in half of the member planets, 1 division in the rest.
Starfleet (Might also include non-Starfleet federal space services)
Based on the US Navy.
260 million active.
60 million reserve.
*64,000 total ships
7,000 Battleships
2,560 Battlecruisers
5,760 Heavy Cruisers
12,160 Light Cruisers
9,600 Destroyers
7,000 Escorts
2,560 Lander Transports
17,280 Auxiliaries
*Uses the ship/personnel ratio of the US Navy, a multi-ocean navy as of 2006. The ship breakdowns are also based on the US Navy. The ship classifications, as with above are just for easier reference
Battleship - The best and largest ships -- an actual "line of battle ship" has no meaning in Starfleet. (Galaxy, Ambassador, Sovereign)
Battlecruiser - A ship with similar capabilities as a "Battleship", except limited in some way -- such as size, range, or whatever. Still "better" than a cruiser. (Akira, Nebula)
Heavy Cruiser - A larger multi-role ship that can operate independently. (Excelsior as of 24th century)
Just for reference, I consider Starfleet to be a combination of the US Navy, US Coast Guard, NASA, and US Geological Survey -- with a greater emphasis on the last three.
These numbers have already caused a pretty big argument, and only 3 people have seen it so far.
One person believes it is wrong and was outraged.
One person thought the numbers were okay, but were not in the spirit of Star Trek.
One person thought the numbers were reconcilable with a pacifistic UFP (though doesn't make sense canonically).
I think these numbers would be somewhat "realistic", but on-screen evidence shows a considerably tinier Starfleet -- I think everyone can agree with that. I also recognize that this is completely based on the assumption that the Federation and its uniformed services operate in the same way as a 21st century nation (especially the USA)-- we all (yes, including me) have arguments on how that isn't necessarily so