The weather is also a player here. A marginal battery may perform satisfactorily in warm weather but even a good, fully charged battery loses some of its capacity when the temperature drops. Although it may appear to be a solution, you are more likely compounding your problem and creating an explosive situation. The charging voltage to the battery should be about 2 volts more than battery voltage with accessories off and about 0.5 to 1 volt above with all of them on. If the battery is being overcharged, it begins to boil out the electrolyte solution, ultimately uncovering part of the active lead plate material and rendering it useless.
Battery capacity diminishes.
Worse yet, as the electrolyte level gets lower, more hydrogen gas collects inside the vacated area of the battery. I suspect your particular problem may also be related to a partial electrical blockage between the alternator and the battery and needs to be diagnosed by a good electrical mechanic. The short-trip death cycle of batteries might be solved by using a different type of battery. Most of the batteries are the sealed, maintenance-free type. The good news is that these batteries have a long shelf life and really are maintenance-free, with no periodic service required.