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From AGEWiki

Weather plays a critical role in the conduct of operations. It affects movement, supply and combat in many ways, as shown on the following chart.

Important: Forces in a reasonably loyal region with a friendly structure ignore attrition due to bad weather. Please note that the force does not need to be located within the structure to benefit from its protection: the structure provides shelter to all forces in the region, both within and outside the structure to avoiding needless micro-management.

Weather	Movement and supply transport	Combat	Attrition
Mud	Moderate penalty. River crossing more difficult.	Slight penalty for the attacker	Mountain regions suffer attrition
Snow	Moderate penalty.	Moderate penalty for the attacker. Battles start at close range.	All forces suffer attrition (unless sheltered)
Frozen	Moderate penalty. Bodies of water may freeze, as shown by the icon.	Moderate penalty for the attacker.	Same as snow, with slightly greater losses
Blizzard	Severe penalty. Bodies of water may freeze.	Severe penalty for the attacker. Battles start at close range.	Same as frozen, with even greater losses

Typical weather aliases are: (example from Rise of Prussia)

// Weather types

$Fair = 0

$Mud = 1

$Snow = 2

$Frozen = 3

$Freeze = 3

$Blizzard = 4

$HarshWeather = 3

$VHarshWeather = 4

// same with typo included ;)

$Blizard = 4