The Yabby Edge 'scans' for GNSS and WiFi signals. It then sends this data up to the server, along with Cell Tower information from the connection.         
This data is sent to our Location Engine for processing, which resolves a position from the raw data.         
It is done this way as:

• It is much lower energy than a typical GNSS fix.
  • The 'scan' uses about 0.01mWh
  • A typical cold-start fix uses about 0.6mWh - 60 times more energy!

• Positions can still be obtained where there is no GPS available (indoors, inside shipping containers, in warehouses)

See Edge Device - Location Scanning and Lookup Parameter

~5m-80m for a GNSS location         
~10m-100m for a WiFi location - depends on how many Access Points are in range         
~250m - 1km for a Cell Tower Location - depends on how many cell towers are nearby         
Resolved locations are filtered on the Location Engine - so that any positions not within acceptable accuracy limits are discarded.

The key difference is that the Yabby Edge does not resolve its position on board. This has a few important caveats which are discussed here: "Edge" vs 'Traditional' GPS Devices, main ones being

• No speed or heading reported
• No Geofence Downloads feature available.

See How much data do DM Devices use? 

See Yabby Edge 4G Battery Life     
Up to 10 years at one daily update     
Up to 2 years at once hourly updates (24 updates per day).     
New components and clever power-saving firmware features have seen significant improvements in the battery life!     
5 x that of the Yabby GPS     
More battery life than the Oyster2!!

Alerts on battery 'low' and 'critical' states can be configured - Battery Monitoring - Yabby Edge Cellular

No. The Yabby Edge cannot be 'woken up' remotely to force an update.    
In order to save power, the device only wakes up periodically to do a location scan and/or upload (it varies this rate if it is on the move or not intelligently).    
In between, it is in a deep sleep, with the cellular modem off - so it has no way to receive a command to check in while in this state. This is what gives such great battery life.

There is a per device fee + charges per location lookup (as the services that resolve locations attract a cost). While the structure is different the end cost will in most cases be the same or lower than current charges for other devices.    
Speak to our sales team for further details.

The device can be put into Recovery Mode like our other devices in our range - and 'live track' (stay connected with 30 second updates) - in the event of theft or loss. Recovery mode can be activated even if we have set the device up for 1 or 2 daily updates (however it doesn't kick in until the next scheduled updated). 

The default parameters are set up for our devices to use both networks. The settings can be updated to use a specific one. Setting the Network Profile - LTE-M/NB-IoT devices. We can see what it is actually connecting to via the Device Logs in OEM. After the device starts up - we will see logs like this:

 
If the device last RESET a long time ago, we might not see any logs. We can trigger a reset with this button

After the next connection - the device will then reset and we can then check the log.

Yes, you push data to a 3rd party tracking platform/server using HTTPS JSON connectors. Digital Matter's Location Engine server first resolves the raw GNSS, Wi-Fi Geolocation and Cell Tower data before sending the resolved location payload (as a JSON) to your platform. - Forward Edge Device Data to my Endpoint (Cellular)

Here is how the Yabby Edge Edge operates while in Recovery Mode.

With fresh batteries in, and the device on the move, we should see about 1-2 weeks in Recovery Mode.