I've been getting some hits from people searching for the biblical statements that have been misinterpreted to be teaching that natural disasters will get worse in the end times, so I wanted to say something to bring out what the biblical perspective on these things is. I'm not going to do my usual extended support for what I'm going to say. I just want to say it. Perhaps those who disagree can challenge me in the comments, and we can continue from there. I don't have the time to say much now, so I'm going to say the few things I want to say.
First, throughout the New Testament the end times began with Jesus' incarnation, death, resurrection, and ascension. We're still in them. Paul consistently refers to the church age as the end times, and it's not because he thought he'd be raptured at any minute. He spoke as if Jesus might return, judge, and restore all things within his lifetime, and he spoke at other times (even earlier times, as it happens) as if it might be a long time, and people like him would die before it takes place. There's a new element of what goes on in the church age, and that's the presence of God's people as a non-nation but what we would call a countercultural working out of the rule of God (what "kingdom of God" literally means) in the ordinary life that goes on. In these end times, those in Christ, i.e. in the community of faith who have God's Spirit dwelling in them both collectively and individually, can detect the evil in humanity and the groaning of all creation for restoration.
Second, the approaching of the end of the end times, i.e. the end of the church age, will be life as normal. Two characteristics of life as normal are given. One is eating, drinking, and making merry. Just as in Noah's time, people thought it was life as normal and made fun of this guy building a boat, non-Christians will consider Christians crazy and believing an illusion, but judgment will come when life as normal gets interrupted suddenly and without warning by the return of the ultimate judge of all humanity. People will be eating, drinking, and being merry. That's normal life. Alongside the evidence of normal life of human behavior is the normal functioning of the fallen world. It will be life as normal. People will engage in wars, and there will be rumors of wars that may not in fact happen. There will be earthquakes and other natural disasters. This is life as usual in the end times, but it's not necessarily a sign that we're even within thousands of years of the return of Christ. We might be, but a close concentration of natural disasters means life is going on as normal. The fallen world is being a fallen world. Since this is held in parallel with the eating, drinking, and being merry it's probably that it's not speaking of a specially concentrated set of natural disasters as a lead-in to the end of the end. It's just giving another example of what things are like in these last days that we're already about two thousand years into.
Third, there are connections between the judgment of God and natural disasters, but we may not know for sure how God might be working through any given event with our limited knowledge, and there's no reason to think that a particular concentration of natural disasters is anything special even if it were true that there is a greater concentration of natural disasters rather than just an overworked media network that now simply reports on these things far more than it did. We all thought there were more shark attacks for some unexplained reason a year or two ago, but it wasn't anything like that. The media had just found a new thing to fill their 24-hour coverage with, and it all of a sudden seemed drastic, when that was a pretty normal year. Given the cyclic nature of hurricanes, with low cycles and high cycles, we have no reason to conclude anything special is going on at all.
There's much more than can be said, but I wanted to say at least these things, and maybe this will lead to some good discussion in the comments if I've left anything out or need to say more to defend any particular claims.