Channel bonding (CB) is a technique that enables a wireless link to combine channels and achieve higher data rates. In this paper, competition for efficient spectrum access among autonomous users with heterogeneous CB capabilities is considered. Specifically, we propose distributed and coordinated channel/bonding selection methods under signal-to-interference-plus-noise ratio (SINR) and collisionprotocol models. In our methods, users utilize only limited feedback to distributively arrive at CB selections that minimize their probability of conflict. The proposed method utilizes a novel channel quality metric, which is based on the ratio of noise power to the sum of interference and noise power. It is shown that CB can lead to higher data rates, and it is most beneficial when users have a high SINR. However, it is also shown that as the ratio of users to available channels increases, CB performance degrades. Our results show that under certain scenarios, the proposed coordinated and distributed channel/bonding selection schemes help users converge fast to conflict-free channel selections as compared to the other channel/bonding selection schemes. Moreover, the proposed schemes result in considerably superior performance to existing CB schemes in terms of network data rate.