I am working on charts to show every day climate parameters such as temperature and precipitation over a period of time. I used the term "time-evolving charts". Is there a better term to show the evolution over time for these charts or diagrams? Besides, I want to use a better term for "climatic parameters"
If you search for images defined by "time series", you will see that this is the common term for the types of chart you describe.
You could use "Temporal-Climate" charts/diagrams.
The term time-lapse is used in describing a photographic technique
denoting the photographic technique of taking a sequence of frames at set intervals to record changes that take place slowly over time. When the frames are shown at normal speed the action seems much faster.
While I am not aware of its application outside of actual photography, it could be adapted to your use in a phrase like time-lapse climate charts. This would be especially appropriate if you intended to show them in rapid succession to reflect a changing patern.
As to climate parameters, if you wish to emphasize the change, you could say climate trends or weather trends.