I don't think your max changes much with time (other than slowly being reduced) but I wouldn't be surprised if it changed from your point of view. Here's what I mean:
The formula doesn't work for me. I am 30 and my max (the max HR I can sustain for one minute) is actually more like 202. I know it's been much over that when I was a teenager because vigorous jazzexercise workouts would clock me above 200, and that was not even my hardest. I'd just stop counting because I was afraid the trainer would be worried about me. I found those numbers appearing on my HRM when I started cycling, when I would power up hills and stuff like that. A cardiologist friend of mine told me not to worry about it as we were hiking up a good slope and my HRM stayed at 194 for an hour. Having a BIG heart that beats slowly can be more of an issue, as we've sadly seen with Ryan Shay's death at the Olympic trials.
When I started running (two years after starting cycling), no matter what I did, I could not reach 200 on the run. I felt exhausted, I wanted to quit and sometimes to puke, but there's no way I would get to 200. 190 or 194 was my "max" on the run. Then I started training more seriously for running and doing hill reps, and now I can consistently hit 200 if I want to, but it's really hard, and I am really on the verge of spilling my last lunch when I do. Don't try this alone. If you get really dizzy (I never did, but who knows) you'll be happy you have someone there.
NOW ABOUT YOUR QUESTION: While I don't think your max HR can be raised (what others said about genetics etc.), I wouldn't be surprised if you explored higher numbers as you get fitter. HOWEVER, based strictly on my experience, I would not encourage you to spend a lot of your training time at that level. Why don't you try, for a workout or two, to measure your perceived rate of exhaustion/effort (PRE)? That's a number out of ten. You can always hide your HRM in your back pocket and have a look after the workout if you don't want your assessment of your PRE to be influenced by your exact HR. For each period of time you spend at 9 or 10/10, there should be a lot of recovery at more a pedestrian 6 and 7/10. YES that will mean seriously slowing down most of the time. But you'll improve faster and feel better about yourself if you allow yourself to recover.
Another trick is to try to climb your favourite steep hill while keeping your HR as low as possible (you can set a predetermined value; for me it's 160 or 165) instead of letting it shoot up. You'll get to the top slower than usual, but not that slower, and you'll feel more empowered. I don't know why, but it worked for a lot of women I know.
What is for sure is that, as you train, you'll increase the intensity of the exercise you can perform at a given heart rate. Just for kicks I did a chart of my average heart rate and average speed on the bike (based on Bikejournal) for my first two years of cycling, and although my speed was fairly constant (my rides were on more hilly terrain I think) my average HR went down with time. Now I only wear my HRM for specific workouts so I don't have much data, but I'm sure the trend is still there. However, my HR remains high compared to the person next to me: it will stay at well above 180 for the entire duration of a half-marathon. That's just the way it is.
Ok that's a long rambling message. This topic always enflames me for some reason!! Sorry about that. Hope it helped a little bit.



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Just curious why you say that. 