Simulation and prediction of time series using convolutional neural networks

Hi everyone,
I'm working on the problem of downscaling precipitation from global circulation model (GCM) to observed local precipitation.
I'm asking how can CN be used for this purpse with:
The input data are time series of precipitation and temperature from GCM (size 1000x2)
The Target data is the local observed precipitation data (size 1000x1)
After training the network, I want to use this network to simulate the its reponse for new data inputs.