Weather Permissiom From Google Play:

Weather APK Location: precise location (GPS and network-based)

Weather APK other: run at startup,full network access,view network connections

Full network access:

Allows the app to create network sockets and use custom network protocols. The browser and other applications provide means to send data to the internet, so this permission is not required to send data to the internet.

Precise location (GPS and network-based):

Allows the app to get your precise location using the Global Positioning System (GPS) or network location sources such as cell towers and Wi-Fi. These location services must be turned on and available to your device for the app to use them. Apps may use this to determine where you are, and may consume additional battery power.

Run at startup:

Allows the app to have itself started as soon as the system has finished booting. This can make it take longer to start the device and allow the app to slow down the overall device by always running.

View network connections:

Allows the app to view information about network connections such as which networks exist and are connected.

Weather Permissiom From APK File: LOCATION: Allows an app to access precise location.

OTHER: Allows applications to access information about networks.
Allows applications to open network sockets.
Allows an application to receive the ACTION_BOOT_COMPLETED that is broadcast after the system finishes booting.

STORAGE: Allows an application to write to external storage.
Allows an application to read from external storage.

PHONE: Allows read only access to phone state, including the phone number of the device, current cellular network information, the status of any ongoing calls, and a list of any PhoneAccounts registered on the device.