As the respiration and other physiological processes are different among climacteric and non climacteric produces, what should the major considerations while storing?
Temperature and humidity are the main parameters to be considered for storage. Climatric fruits are generally stored at low temperature and high humidity to reduce the respiration an transpiration losses of water/moisture content.
For any fruit, major consideration is the fruit being chilling injury (CI) sensitive or not, its respiration rate and susceptibility to water loos when determining storage condition of temperature and relative humidity. Being climacteric or not it does not matter. Some climacteric fruits are CI sensitive while some of them not. Some climacteric fruits have very high respiration rate while some of them do not. Difference between climacteric vs non-climacteric is whether continue ripening after harvest not. Therefore this grouping is important especially when determining harvest time.
In addition to the previous comments, the state of ripeness of the fruits at the time of harvest is fundamental not only in relation to its organoleptic nutritional and functional quality in some cases. Not considering this starting factor is to add greater physiological variability to the starting point of refrigerated storage. It is especially important in those non-climacteric fruits. In addition, it is widely documented in the literature that juvenile tissues and those that have not been fully maturity are more susceptible to dehydration and to develop alterations caused by prolonged exposure to cold (Chilling Injury).
Most of the crucial considerations have already been highlighted but you may also want to consider the duration of the storage period. Long or short term storage for both groups of fruits depending on their state of ripeness. For example, more ripen fruits may require cooler temperatures compared to less ripen ones especially for long term storage