Do a google search on the topic of smart meter RF and it's pretty eye opening. I worked as a telecommunications tech for an electric company, I tested these things prior to our company buying into them and they are incredibly powerful and 'chatty'. A brief explanation on how they work; every meter can transmit and receive. They 'talk' to the closest meter to them, sending their data to neighbor meters and relaying data they receive from your neighbors meters. Eventually, the data is relayed enough from house to house until it gets to a station that has wire or fiber. From there it's sent to the main processing center. Each transmission is only a few milliseconds long. All total, maybe a few minutes every day in transmission, but several micro transmissions every second. If you put a specrum analyzer near one, watched the activity, you'd see a screen of spikes being transmitted. The frequency is 902 to 928mhz as I recall. It's frequency hopping so who knows what frequency at what millisecond is being transmitted.
Some people who have their bedroom, perhaps even their headboard from their bed right backed up to where their meter is complain of several symptoms of poor health. When the meter's radio is turned off, their symptoms went away. By federal law, customers have a right to opt out of wireless meters for wired; DSL for example, or even an old fashioned meter reader. But if you have 'time-of-use' billing, that can be complicated.
Many cell phones are on this same frequency band as well. I don't know if that could be an issue if your weather station is near a tower.