## 4 Discussion  
The present study examined the relationships between family support for BPNs, perceived social support (availability and satisfaction of social support), BPN satisfaction and frustration, purpose in life, and depressive feelings. Perceived availability of social support (quantitative aspect of the network) did not come into play in the prediction of BPN satisfaction and frustration. This result is interesting insofar as this study takes into account both networks' quantity and quality (satisfaction of social support) and that it is the participants themselves who identified the members of their network they considered to be important. Satisfaction (and not availability) of social support negatively predicted BPN frustration for competence and relatedness. As a whole, participants reported high scores on family support for autonomy, competence, and relatedness, emphasising a positive perception of social support from their family. Although [PERSON], [PERSON], and [PERSON] [30] indicated that high-quality relationships were often associated with positive outcomes, no relationship was found in the present study between family support for relatedness and BPN satisfaction. Support for relatedness refers to the degree of network involvement and to the way network communicates its involvement in terms of warmth, responsiveness, security, and emotional support. One possible explanation of this unexpected result could be that participants considered it normal that they were connected with their family. Regarding the two other family supports, results showed that family support for autonomy positively predicted BPN satisfaction for autonomy and relatedness, whereas family support for competence positively predicted BPN satisfaction for autonomy, competence, and relatedness and negatively predicted BPN frustration for autonomy, competence, and relatedness. As a whole, such findings are promising because they suggest that the nature of the support (autonomy, competence, relatedness support) could differently predict BPN satisfaction and/or frustration, and in turn purpose in life and depressive feelings. PLS-PM findings also showed that BPN satisfaction for competence was especially salient among older people living at home, as it was the strongest predictor of purpose in life, which is considered an important resource for ageing well [31]. As indicated by previous research [32], BPN satisfaction for competence is not only related to the individual's history and beliefs in capabilities, but also to perceived aspects of the social environment. However, PLS-PM results also showed that BPN frustration for competence and relatedness positively predicted depressive feelings. When the environment undermines these needs and individuals perceive that BPN for competence and relatedness are frustrated, depressive symptoms can emerge. BPN satisfaction and frustration can be considered distinct constructs promoting different outcomes and are dynamic processes which are highly sensitive to environment [1; 3]. Otherwise, the present PLS-PM findings are in the same line that family literature [33; 34]. In particular, our results are consistent with other key family influences across the life span, such as parenting socialisation and its developmental consequences in childhood, adolescence, and adulthood [35; 36]. In this sense, support of parents in the family context (parental acceptance, involvement and promotion of psychological autonomy) is positively related to a child's sense of competence and child optimal development, as suggest studies analysing short-term [33; 35; 37] and long-term socialisation outcomes [34; 35; 36]. Some limitations of the present study should be addressed. First, this study is cross-sectional. However, BPN satisfaction fluctuates on a daily basis, suggesting that the perceptions of social support from family among older people could also fluctuate across the course of time [38].