Greg,
Since you love stats so much, here's some for you to ponder on.
Let's call the disease measles. Let call the reference:
Muscat M, Bang H, Wohlfahrt J, Glismann S, Mølbak K, EUVAC.NET Group. Measles in Europe: an epidemiological assessment. Lancet. 2009 Jan. 31;373(9661):383–389.
As you know, I am so fond of my up-to-date data. Less confounders of course. And let's concentrate on a age-matched (5-19 years) cohort, shall we, because you like them so much too:
"The status of measles vaccination was known in 89% (n=7333) and 92% (3582) of all reported measles cases in 2006 and 2007, respectively (table 2). In 2006, 2820 (91%) cases aged 5–19 years had known vaccination status, of whom 2058 (73%) were unvaccinated, 452 (16%) had received a single dose of vaccine, and 39 (1%) had been vaccinated with an unspecified number of doses. The following year, 1796 (95%) cases from the same age-group had known vaccination status, of whom 1567 (87%) were unvaccinated, 156 (9%) had received a single dose, and two (0·1%) had been vaccinated with an unspecified number of doses."
2006: 73%+16%=89% inadequately vaccinated, aged 5–19 years.
2007: 87%+9%=96% inadequately vaccinated, aged 5–19 years.
Overall, therefore, the percentage of cases that were inadequately vaccinated was 92%.
Using the same reasoning therefore, the number of cases that were adequately vaccinated was 8%.
92%/8%=11.5
Herd immunity:
Let's look at an interesting contrast of countries. As the authors state, "countries with zero indigenous measles incidence reported consistently high measles vaccination coverage for long periods".
Country - vaccination coverage - cases reported 2006-2007 - crude rate
Finland - 95% - zero - zero
Iceland - 90 to 95% - zero - zero
Slovenia - 95% - zero - zero
Slovakia - 99% - zero - zero
Hungary - 99% - 1 - 0.01
UK - below 85% - 1777 - 1.45
Ireland - 90% - 135 - 1.6
Germany - 70% - 2878 - 1.8
Italy - below 90% - 1015 - 0.85
It's a nice demonstration of herd immunity that in Finland, Iceland, Slovenia, Slovakia & Hungary, where coverage rates were about 95%, even if you're not immunised, you're still protected. In fact, for those two years, your relative risk of suffering measles was.... zero (or pretty well close to it).
Let me repeat this: if you're not vaccinated, and live in a country with a vaccination rate of 95% or higher, your risk of suffering measles, is zero.
On the other hand, from table 1, we can see that the overall rate for 2006 was 1.41 per 100,000 across Europe, and for the same year, the percentage of those cases occurring in inadequately vaccinated people was (77+17)=94%. The percentage of vaccination coverage is about 80-85% across Europe. So, 15% of the unvaccinated population accounted for 94% of cases. The relative risk therefore, is about 6.
So here's some conclusions that can be drawn:
If you're aged 5-19 years and diagnosed with measles, you're 11 times more likely to be unvaccinated than vaccinated.
If you're unvaccinated and of any age, you're 6 times more likely to get measles than not.
If you're unvaccinated and live in a country with a vaccination coverage rate of 95% or higher, your risk of suffering measles is zero (even when it's throughout the rest of your neighbouring countries).
High vaccination coverage rates (>=95%) correlates strongly with low incidence rates.
Waddayathinkofthat, Greg?
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Peter McCarthy also wrote:
"Measles in Europe: an epidemiological assessment"
This is a great paper JC. A huge amount of work was put into compiling the measles cases for 2006 and 2007 across 32 countries. The results really do
speak for themselves.
The fact that vaccination coverage in countries in the decade leading up to 2006 - 2007 obviously correlates with the number of disease cases in these
years speaks volumes for the importance of sustained, high coverage vaccination.
It's important to really try and push this point home.
[Quote: Muscat et al]
For both years, 15% (n=1223) and 9% (357) of the total number of cases were infants, 29% (2352) and 23% (868) were 1–4 years of age, 38% (3110) and 49% (1896) were 5–19 years of age, and 18% (1436) and 19% (724) were 20 years or older.
(For reference: total cases 2006 - 8223 || total cases 2007 - 3909)
It's easy to see that a significant portion of the affected population are children less than 4 years old. Greg likes to argue that a lot of these children are too young for vaccination anyway so they don't count. Unfortunately, they do count when it comes to the total number of cases that we see. These children are protected from measles when herd immunity is high (see JC's percentage breakdowns - anything below 95% coverage is
bad).
So, when more than 80% of the cases in people aged 5 -19 occur in people that were not vaccinated (at all), it becomes pretty obvious that vaccines are protecting people in this age group from disease. But also! They protect the children too young to yet have full vaccination coverage, by ensuring the disease never reaches the levels of outbreak seen in the unvaccinated population.
Thanks for the paper JC.