When we first received our cedulas we were advised by friends to make a good color copy, laminate it and carry that as your identification, keeping the original in a safe place. We did exactly that, only carrying our original when handling banking or legal matters like getting a power of attorney. Originals also needed to travel internationally as well.
A friend of ours lost his wallet with his original cedula inside and was leaving the country, going back to Canada, in a few weeks time. We saw what a hassle he had getting a new cedula and were happy for the suggestion.
It is a big hassle having to come up with original documents to replace those that you used to get your residency approved. For us not having additional original documentation or a fast way to receive this documentation from the United States, it would cause us a great deal of anxiety to say the least. You need to recreate all the original documentation you needed when you originally applied. And you have to do it from here. Whew!
We found while living in Salinas that there were several places that had laminating machines by the municipal building and for as little as a dollar you could have a duplicate card made. Not sure where in Portoviejo this could be accomplished but I am sure there must be several places that have a laminating machine.