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Two things:
First, if fire and EMS staffing and deployment are lacking that much, you need to go to a single pull system. Members leave their gear on the middle of the floor. If an EMS run comes in, two people throw their gear on the bus and go. If a second EMS run comes in, two more members do the same. That leaves two others to take the engine out. If a fire comes in, they could at least do a search or VES for victims, or set up an exterior attack. After clearing from the hospital, the members can show up in the ambulance, with their gear, and join in. That's the best you can do with six members.
Second, fire isn't only responding to 17 calls out 891. what about the hazardous conditions calls, public service calls, good intent calls, and false alarms? That's 268 out of 891, or 30% of run volume. Fire calls are presumably actual structure fires, car fires, brush fires, etc. Hazardous conditions would be gas leaks, CO calls, and the like. Good intent would be wellness checks, replacing smoke detectors, etc. Public service would be picking a citizen up off the floor and back into bed or their wheelchair, if no injury or medical etiology is suspected, or other issues, such as a flooded basement where they need you to get down there and shut off the water. False alarms are not actually false alarms until proven to be so, either by the suppresion unit onscene, or by cancellation via phone by the homeowner/manager.
That 70%/30% split can also be misleading. The 70/30 breakdown only represents the number of calls on each side, not the amount of resources used for each call. An EMS response may be just an ambulance or an ambulance and engine. Fire calls can involve many more resources than just one or two apparatus. A more realistic measure would be to take each individual unit, and break down the percentage of EMS and non EMS responses. Truck companies, heavy rescues, tankers, Hazmat units, light and air, rehab units, etc must all be taken into account.
I am not disagreeing with you, but I would like to point out that some departments (many I have seen) will pad call volume by counting multiple aspects of a single call as multiple calls.
An example would be: Original response to a structure fire, recall of off duty persons, call for mutal aid, units responding after clearing other calls, and the call for post incident investigation get counted as 5 fire calls instead of 1.
I think that is a blatent self serving practice that undermines the respect of the fire service in the organizations that practice it.
I haven't seen it, but I'm sure it goes on. The closest thing I've seen is with FDNY and FDNY EMS. We would cancel the FDNY CFR engine, but they would mark onscene first and then go available, to be able to add the call to their numbers. If duplicates to a certain call go out, fire or EMS, each call will be recorded. For example, we could get multiple calls for an MVA, each with a slightly different location, with a different unit dispatched. It could be "GCP/LIE" "LIE/Little Neck" or "LIE/CIP." That's three EMS calls, with three different incident numbers, for the same call. Even if units are cancelled by others that know the area and recognize it as a duplicate job, they still get added to the city's stats. Right or wrong, that does show an increased call volume, which helps their case when confronted with the bean counters. In today's environment of severe budget cuts and layoffs, I can't fault a department for padding their stats for self preservation. It's like pulling teeth to get any form of increased staffing for EMS or fire, but it's all too easy to have that taken away. The messed up part is that to regain these staffing levels afterward, concessions will need to be made in the form of salary and benefits.
Earlier in life I would probably have typed 2 pages on the complexities of this and the long term consequences.
But now I am of the mind to just say "go for it, and let me know how it works out in about 10 years."
Medicine is a business, and if you increase the cost of labor, ultimately the people paying the price are the people paying for the medicine because nobody along the chain is going to eat the increased labor cost.
In the US that is medicare, medicade, (both tax funded) insurance premiums, and of course aggresive billing practices regarding private payers.
Those cost increases you will be bearing, and will exceed by a considerable margin, the increase in your pay.