DrDiettrich:
One idea makes your base station send the ID of a mobile station, whereupon this station sends its data.
In fact, that would be OK, at least for mark 1 design it would be perfectly satisfactory even if I manually send a request to each unit ... most times one would be sufficient to locate a whole group, only when one member is missing I could then immediately locate that member ... even this simple use would have saved a life last week, thus my urgent renewal of this project from "theory" stage.
TomGeorge:
Hi,
Welcome to the forum.
Please read the first post in any forum entitled how to use this forum.
http://forum.arduino.cc/index.php/topic,148850.0.html
One of you biggest obsticals will be power usage, the commercial units will have over come this to a certain extent.
Starting from scratch to build a similar system, is a big task as you would have to basically design and construct custom PCBs and coding.
Can you please tell us your electronics, programming, Arduino, hardware experience?
Thanks.. Tom... 
Power consumption was one of my next research goals ... I'm thinking of using an 18650 lithium battery as a standard power supply.
I'm having a lot of trouble finding a commercial, or even DIY, system that does what I need ... as most either work on GPS and mobile service (which is unavailable at my address) or else simply locate a signal's strongest point.
Frankly the later system was abandoned after chasing my tail all over the farm with signals bouncing in all directions, and losing 2 out of 4 collars because they fell off AND stopped working.
I tried to set up a triangulation system but learned early that the terrain was not at all suitable.
Experience for hardware good, electronics fair, programming and arduino advanced learner.
No problem tackling big tasks ... the only question is, how many 15 hour crash learning sessions it will take me to pull off the coding Lol.
srnet:
Well if you want to do your own packaging then you can build simple LoRa trackers like this;

Specifically designed to be very low power consumption, runs the Arduino in sleep mode and GPS in hot fix. If you send a location fix every 10 mins or so, expect more than a years life out of some Alkaline AAs.
The electronics is simple enough, but the real issue is the packaging of such a device. Needs to be robust, waterproof and maintainable.
This seems very much the basic system I need to set up.
Packaging is going to be kind of interesting regardless of what electronics is used, but I'm confident I can achieve that even if I have to set all non-essential access points in resin once everything is up and running.
A location fix every 10 minutes or so would be perfectly fine, in fact I had considered making a GPS logger to SD card and simply asking it to send me the data (say, just the last 10 results) on request. That would cut the transmissions down to once or twice a day.