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Late night thoughts on tuberculin surveys Brian Williams with acknowledgements to Philippe Glaziou Cairo, October 2009

Brian Williams with acknowledgements to Philippe Glaziou · ARTI in South Korea South Korea Halving every ln(2)/0.08 ≈ 10 years Rate of decline = 7.8%/yr. 0 100 200 300 400 500

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Page 1: Brian Williams with acknowledgements to Philippe Glaziou · ARTI in South Korea South Korea Halving every ln(2)/0.08 ≈ 10 years Rate of decline = 7.8%/yr. 0 100 200 300 400 500

Late night thoughts on tuberculin surveys

Brian Williams with acknowledgements to

Philippe Glaziou

Cairo, October 2009

Page 2: Brian Williams with acknowledgements to Philippe Glaziou · ARTI in South Korea South Korea Halving every ln(2)/0.08 ≈ 10 years Rate of decline = 7.8%/yr. 0 100 200 300 400 500

Karel Styblo: 1985

If the annual risk of TB infection

is 1% the annual incidence of

TB disease is 50/100k/yr.

Page 3: Brian Williams with acknowledgements to Philippe Glaziou · ARTI in South Korea South Korea Halving every ln(2)/0.08 ≈ 10 years Rate of decline = 7.8%/yr. 0 100 200 300 400 500

If the prevalence of TB in

children aged A is P then the

annual risk of TB infection is

ARI = 1-(1-P)1/A

We can use the prevalence in

children to estimate the

incidence in adults

Page 4: Brian Williams with acknowledgements to Philippe Glaziou · ARTI in South Korea South Korea Halving every ln(2)/0.08 ≈ 10 years Rate of decline = 7.8%/yr. 0 100 200 300 400 500

First the good news…

Page 5: Brian Williams with acknowledgements to Philippe Glaziou · ARTI in South Korea South Korea Halving every ln(2)/0.08 ≈ 10 years Rate of decline = 7.8%/yr. 0 100 200 300 400 500

Frequency distribution of induration sizes in Cape Town

Page 6: Brian Williams with acknowledgements to Philippe Glaziou · ARTI in South Korea South Korea Halving every ln(2)/0.08 ≈ 10 years Rate of decline = 7.8%/yr. 0 100 200 300 400 500

0.00

0.01

0.02

0.03

0.04

0.05

0.06

0.07

1955 1965 1975 1985 1995

AR

TI in

So

uth

Ko

rea

South Korea

Halving every

ln(2)/0.08 ≈ 10 years

Rate of decline = 7.8%/yr

Page 7: Brian Williams with acknowledgements to Philippe Glaziou · ARTI in South Korea South Korea Halving every ln(2)/0.08 ≈ 10 years Rate of decline = 7.8%/yr. 0 100 200 300 400 500

0

100

200

300

400

500

600

700

800

900

1960 1965 1970 1975 1980 1985 1990 1995

Pre

va

len

ce

SS

+ T

B/1

00

kSouth Korea

Rate of decline = 8.0%/yr

Page 8: Brian Williams with acknowledgements to Philippe Glaziou · ARTI in South Korea South Korea Halving every ln(2)/0.08 ≈ 10 years Rate of decline = 7.8%/yr. 0 100 200 300 400 500

0

100

200

300

1960 1970 1980 1990

SS

+ T

B in

cid

en

ce

/10

0k

ARTI×50

Civil servants

South Korea

Rate of decline = 8%/yr

Page 9: Brian Williams with acknowledgements to Philippe Glaziou · ARTI in South Korea South Korea Halving every ln(2)/0.08 ≈ 10 years Rate of decline = 7.8%/yr. 0 100 200 300 400 500

Now the bad news…

Page 10: Brian Williams with acknowledgements to Philippe Glaziou · ARTI in South Korea South Korea Halving every ln(2)/0.08 ≈ 10 years Rate of decline = 7.8%/yr. 0 100 200 300 400 500

South Korea Survey of

Incidence among Civil Servants

1998: Baseline

920,000 had chest radiography

1990: Follow up

790,000 available for CXR

2,500 with suspicious X-rays

2000 had sputa taken

300 culture positive

200 smear positive

Page 11: Brian Williams with acknowledgements to Philippe Glaziou · ARTI in South Korea South Korea Halving every ln(2)/0.08 ≈ 10 years Rate of decline = 7.8%/yr. 0 100 200 300 400 500

Styblo’s argument assumptions (before chemotherapy)

Each prevalent SS+ case infects 10 people per year

Disease duration is 2 years

Each incident SS+ case infects 20 other people

ARI = 20××××Incidence

Incidence = ARI/20

Incidence××××100k = (ARI××××100)/100××××100k/20

= (ARI/100)××××50

1% ARI corresponds to and incidence of 50/100k

ARI is independent of age. Average over last ten years

Page 12: Brian Williams with acknowledgements to Philippe Glaziou · ARTI in South Korea South Korea Halving every ln(2)/0.08 ≈ 10 years Rate of decline = 7.8%/yr. 0 100 200 300 400 500

Low prevalence

As the incidence declines, the

prevalence of infection declines and it

gets much harder to measure it.

Page 13: Brian Williams with acknowledgements to Philippe Glaziou · ARTI in South Korea South Korea Halving every ln(2)/0.08 ≈ 10 years Rate of decline = 7.8%/yr. 0 100 200 300 400 500

Changes in distribution patterns of

induration size in Korea

Page 14: Brian Williams with acknowledgements to Philippe Glaziou · ARTI in South Korea South Korea Halving every ln(2)/0.08 ≈ 10 years Rate of decline = 7.8%/yr. 0 100 200 300 400 500

Environmental mycobacteria

Prevalence of environmental

mycobacteria seems to be very high

around the equator and declines at very

high and very low latitudes

Page 15: Brian Williams with acknowledgements to Philippe Glaziou · ARTI in South Korea South Korea Halving every ln(2)/0.08 ≈ 10 years Rate of decline = 7.8%/yr. 0 100 200 300 400 500

Frequency distribution of induration sizes in Somalia.

Red: fitted; black: environmental; green: TB

Page 16: Brian Williams with acknowledgements to Philippe Glaziou · ARTI in South Korea South Korea Halving every ln(2)/0.08 ≈ 10 years Rate of decline = 7.8%/yr. 0 100 200 300 400 500

Dependence on testing day

(Somalia 2006)

Proportion positive when the induration was read on

three of four days after the challenge

Page 17: Brian Williams with acknowledgements to Philippe Glaziou · ARTI in South Korea South Korea Halving every ln(2)/0.08 ≈ 10 years Rate of decline = 7.8%/yr. 0 100 200 300 400 500

Dependence on BCG

(Somalia 2006)

Proportion positive with and without a BCG scar

Page 18: Brian Williams with acknowledgements to Philippe Glaziou · ARTI in South Korea South Korea Halving every ln(2)/0.08 ≈ 10 years Rate of decline = 7.8%/yr. 0 100 200 300 400 500

The way forward?

Page 19: Brian Williams with acknowledgements to Philippe Glaziou · ARTI in South Korea South Korea Halving every ln(2)/0.08 ≈ 10 years Rate of decline = 7.8%/yr. 0 100 200 300 400 500

Tuberculin skin test responses in

houehold contacts of active TB cases979 children, median age 7yr, Istanbul

0

10

20

30

40

50

60

70

80

1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31

ELISpot -ve

ELISpot +ve

Source: Bakir et al 2006

Page 20: Brian Williams with acknowledgements to Philippe Glaziou · ARTI in South Korea South Korea Halving every ln(2)/0.08 ≈ 10 years Rate of decline = 7.8%/yr. 0 100 200 300 400 500

Thank you

Page 21: Brian Williams with acknowledgements to Philippe Glaziou · ARTI in South Korea South Korea Halving every ln(2)/0.08 ≈ 10 years Rate of decline = 7.8%/yr. 0 100 200 300 400 500

0 5 10 15 20 25

Induration size (mm.)

Fre

qu

en

cy (

%)

10

8

6

4

2

0

Annual risk of tuberclous infection in the northern zone of India

Chadha, V.K. et al. Bull. WHO (2003)

Page 22: Brian Williams with acknowledgements to Philippe Glaziou · ARTI in South Korea South Korea Halving every ln(2)/0.08 ≈ 10 years Rate of decline = 7.8%/yr. 0 100 200 300 400 500

Styblo assumptions (cont)

• An infected case develops TB with probably 0.1 over his lifetime

• The probability for TB to be smear positive is 0.5

• Therefore, 1 smear positive generates: 10 x 2 x 0.1 x 0.5 = 1 new smear positive case over 1 transmission cycle and TB is stably endemic

Page 23: Brian Williams with acknowledgements to Philippe Glaziou · ARTI in South Korea South Korea Halving every ln(2)/0.08 ≈ 10 years Rate of decline = 7.8%/yr. 0 100 200 300 400 500

Origin of Styblo’s ruleBull IUAT vol 60, 1985

Ratio basedon

Risk of infection(%)

Ratio ofrisk:incidence

Netherlands 1921-38 Mortality 2.7 – 6.0 38

Netherlands 1951-76 Incidence 0.038 – 0.4 37

Developingcountries

1956-61 Prevalence 2.0 – 8.0 40-60

Alaskaeskimos

1948-51 Mortality 25 52

Indialongitudinalstudy

1961-68 Prevalence 1.5 53

Indiapreventiontrial

1969-71 Prevalence 4.1 51

Page 24: Brian Williams with acknowledgements to Philippe Glaziou · ARTI in South Korea South Korea Halving every ln(2)/0.08 ≈ 10 years Rate of decline = 7.8%/yr. 0 100 200 300 400 500

Changes in Styblo ratio in Chennai, S. India

0

50

100

K P E Th Ti TiT All

Blocks in Chingelput district

Inc

ide

nc

e S

+C

+/A

RT

I

1968-71

1973-78

Source: IJTLD 5, 142 (2001)

Page 25: Brian Williams with acknowledgements to Philippe Glaziou · ARTI in South Korea South Korea Halving every ln(2)/0.08 ≈ 10 years Rate of decline = 7.8%/yr. 0 100 200 300 400 500

Assumptions (cont)

• 2 year duration of infectiousness: not necessarily true, duration may decrease with increasing programme performance

• 10 cases infected per year: depends on living conditions, number of household members, etc, and may decline over time

• TB is in a steady state: untrue in most countries

Page 26: Brian Williams with acknowledgements to Philippe Glaziou · ARTI in South Korea South Korea Halving every ln(2)/0.08 ≈ 10 years Rate of decline = 7.8%/yr. 0 100 200 300 400 500

High sensitivity to assumptions on

distributions in Somalia

Page 27: Brian Williams with acknowledgements to Philippe Glaziou · ARTI in South Korea South Korea Halving every ln(2)/0.08 ≈ 10 years Rate of decline = 7.8%/yr. 0 100 200 300 400 500

Inconsistent patterns

(Somalia 2006)

Page 28: Brian Williams with acknowledgements to Philippe Glaziou · ARTI in South Korea South Korea Halving every ln(2)/0.08 ≈ 10 years Rate of decline = 7.8%/yr. 0 100 200 300 400 500

In summary

• Interpretation of data can be problematic

• Diagnostic value of PPD test difficult to predict

• Uncertainty about the relationship between prevalence of infection and incidence

• Uncertainty about time changes in the distribution of determinants of induration size

• Difficult to interpret time-changes in ARI

Page 29: Brian Williams with acknowledgements to Philippe Glaziou · ARTI in South Korea South Korea Halving every ln(2)/0.08 ≈ 10 years Rate of decline = 7.8%/yr. 0 100 200 300 400 500

Diverging time-changes between

SS(+) prevalence and ARI in China

Source: Bulletin of the World Health Organization 2008;86:20–26.

Page 30: Brian Williams with acknowledgements to Philippe Glaziou · ARTI in South Korea South Korea Halving every ln(2)/0.08 ≈ 10 years Rate of decline = 7.8%/yr. 0 100 200 300 400 500

Diverging time-changes between SS(+)

prevalence and ARI in the Philippines

Source: Bulletin of the World Health Organization 2008;86:20–26.

Page 31: Brian Williams with acknowledgements to Philippe Glaziou · ARTI in South Korea South Korea Halving every ln(2)/0.08 ≈ 10 years Rate of decline = 7.8%/yr. 0 100 200 300 400 500

Ethical considerations

• No (or little) benefit to surveyed individuals

• Most often done in children

• Ethical requirements:

– Clearance from ethical committee

– Informed consent from parents

– Informed consent from children

Page 32: Brian Williams with acknowledgements to Philippe Glaziou · ARTI in South Korea South Korea Halving every ln(2)/0.08 ≈ 10 years Rate of decline = 7.8%/yr. 0 100 200 300 400 500

Sampling

Typically multistage with clusters defined as schools or classes within schools→ need to account for sampling design when computing age-specific prevalence of infection→ is the sample self-weighed (each selected child should represent the same number of children)?→ missing values (e.g. Malawi, 21%)

Page 33: Brian Williams with acknowledgements to Philippe Glaziou · ARTI in South Korea South Korea Halving every ln(2)/0.08 ≈ 10 years Rate of decline = 7.8%/yr. 0 100 200 300 400 500

0.0

0.2

0.4

0.6

0.8

1.0

0 5 10 15 20 25 30

Page 34: Brian Williams with acknowledgements to Philippe Glaziou · ARTI in South Korea South Korea Halving every ln(2)/0.08 ≈ 10 years Rate of decline = 7.8%/yr. 0 100 200 300 400 500

0

100

200

300

400

500

600

0 5 10 15 20 25 30

Induration (mm.)

Nu

mb

er/

mm

.Can tuberculin surveys measure risk of infection?

Data from Somalia 2006