I recently came across a blog post that provides some interesting insight on the whole 'HIV/circumcision' issue and I'd thought I'd share the analysis I just recently read. I share this in part to provide some insight on just how stupid that Australian article was though I know you all know that, it might help you when talking to others. It surrounds the real probability of contracting HIV over a given number of sexual encounters. To determine the probability of not becoming infected you can use the following formula:
(1 - [chance of transmission from sex])^[sexual encounters]
Now for the estimates, let's assume that there is a risk reduction of 50% for circumcised men and a 90% reduction for condom use. I actually think condom use is closer to 100% but just accept it for now. The probability of infection in any one encounter with an HIV positive partner varies but we'll estimate that the chance of infection is 0.05%. That means a male having unprotected sex with an HIV positive women. The number of sexual encounters is important too. If we assume 100, then the probability of not being infected after 100 encounters with an HIV positive woman would be:
(1-0.0005*1)**100 ~= 95.1 (intact)
(1-0.0005*0.5)**100 ~= 97.5 (circumcised assuming about 50% protection)
(1-0.0005*0.1)**100 ~= 99.5 (with a condom assuming 90% protection)
This assumes that circumcision does provide such protection and that your son would have 100 encounters with an HIV positive partner after which the difference in the possibility of infection is 2.4%.
The truth is I don't think the scenario is relevant in the West where (for the most part) we tend to maintain long term stable relationships. This also doesn't take into account that the prevalence of HIV is very low to begin with. So let's do that.
In the US, the prevalence in the general population is estimated at 5 in 1000 (possibly less but we'll go with that). So, if I have 1000 random encounters I might expect 5 to be HIV positive and then the numbers might look like this:
(1-0.0005*1)**5 ~= 99.7
(1-0.0005*0.5)**5 ~= 99.8
(1-0.0005*0.1)**5 ~= 99.9
So a rough estimate is that if ones one were to have 1,000 random heterosexual encounters with 1,000 different partners of unknown HIV status the possibility that they would come out of it HIV positive is .3% (intact) .2% (circumcised) and .1% (condom) a difference of 1 in 1,000. Since prevalence doesn't run the same in all 'walks' of life I am guessing it would be much lower for the vast majority of Americans plus most people don't have that kind of sexual history. All of those who've had 1,000 randoms sexual partners please raise your hand.

I just thought the numbers were interesting to show people how much impact there really is, even if we were to accept the purported benefit. I also just thought of something that might bring this more in line with reality. This is just a way to demonstrate the futility of circumcision and show how that purported 50% (if you were to take it at face value) adds up over time.
I wanted to post this because of that ridiculous Australian article. Given that in Australia the prevalence is estimated at 1 in 1000, the numbers look like this:
(1-0.0005*1)**1 ~= 99.95
(1-0.0005*0.5)**1 ~= 99.975
(1-0.0005*0.1)**1 ~= 99.995
2.5 one-hundredths of a percent.
Enjoy.
(1 - [chance of transmission from sex])^[sexual encounters]
Now for the estimates, let's assume that there is a risk reduction of 50% for circumcised men and a 90% reduction for condom use. I actually think condom use is closer to 100% but just accept it for now. The probability of infection in any one encounter with an HIV positive partner varies but we'll estimate that the chance of infection is 0.05%. That means a male having unprotected sex with an HIV positive women. The number of sexual encounters is important too. If we assume 100, then the probability of not being infected after 100 encounters with an HIV positive woman would be:
(1-0.0005*1)**100 ~= 95.1 (intact)
(1-0.0005*0.5)**100 ~= 97.5 (circumcised assuming about 50% protection)
(1-0.0005*0.1)**100 ~= 99.5 (with a condom assuming 90% protection)
This assumes that circumcision does provide such protection and that your son would have 100 encounters with an HIV positive partner after which the difference in the possibility of infection is 2.4%.
The truth is I don't think the scenario is relevant in the West where (for the most part) we tend to maintain long term stable relationships. This also doesn't take into account that the prevalence of HIV is very low to begin with. So let's do that.

In the US, the prevalence in the general population is estimated at 5 in 1000 (possibly less but we'll go with that). So, if I have 1000 random encounters I might expect 5 to be HIV positive and then the numbers might look like this:
(1-0.0005*1)**5 ~= 99.7
(1-0.0005*0.5)**5 ~= 99.8
(1-0.0005*0.1)**5 ~= 99.9
So a rough estimate is that if ones one were to have 1,000 random heterosexual encounters with 1,000 different partners of unknown HIV status the possibility that they would come out of it HIV positive is .3% (intact) .2% (circumcised) and .1% (condom) a difference of 1 in 1,000. Since prevalence doesn't run the same in all 'walks' of life I am guessing it would be much lower for the vast majority of Americans plus most people don't have that kind of sexual history. All of those who've had 1,000 randoms sexual partners please raise your hand.


I just thought the numbers were interesting to show people how much impact there really is, even if we were to accept the purported benefit. I also just thought of something that might bring this more in line with reality. This is just a way to demonstrate the futility of circumcision and show how that purported 50% (if you were to take it at face value) adds up over time.
I wanted to post this because of that ridiculous Australian article. Given that in Australia the prevalence is estimated at 1 in 1000, the numbers look like this:
(1-0.0005*1)**1 ~= 99.95
(1-0.0005*0.5)**1 ~= 99.975
(1-0.0005*0.1)**1 ~= 99.995
2.5 one-hundredths of a percent.

Enjoy.







Well, I'm not quiiiite at 1,000.



