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The Dynamics of Non-Monotonic Poverty: 
Theory and Application to Time Poverty in 
Mexico 
Florent Bresson (Universite d’Orleans) 
Jose V. Gallegos (Research Center of Universidad del Pacifico) 
Gaston Yalonetzky (University of Leeds) 
Discussant: KK Tang (University of Queensland) 
1
Colour Scheme 
• Material drawn from the paper is in black. 
• Comments and questions are in blue. 
2
Objective 
• Propose new poverty measures that consider 
– Dynamics of poverty 
– Non-monotonicity of poverty 
• Apply them to study time poverty in Mexico 
during 2005-2010 
3
Motivation 
• Why dynamics of poverty? 
• Static measures of poverty provides only a snap 
shoot for a particular time 
• Some people may be in poverty for only a short 
period of time, while some others (e.g. least 
educated) may stay for much longer 
• So, in order to identify the most vulnerable 
groups, it is important to consider poverty over 
time and to distinguish those in chronic poverty 
from those in transient poverty 
• Why non-monotonicity of poverty? 
4
Monotonic Income Poverty 
5 
1.25 Income per day ($) 
(Wold Bank 
poverty line) 
Poverty intensity 
0
Non-Monotonic Time Poverty 
0 24 
leisure/day (hour) 
lower 
Shortfall poverty 
(too little leisure) 
threshold
Non-Monotonic Time Poverty 
0 24 
leisure/day (hour) 
lower 
Shortfall poverty 
(too little leisure) 
threshold 
But too much leisure could be 
due to some negative situations: 
• Unable to do domestic or paid 
work due to poor health 
• Being unemployed due to poor 
labour market environment
Non-Monotonic Time Poverty 
Excess poverty 
(too much leisure) 
0 upper 24 
leisure/day (hour) 
lower 
Shortfall poverty 
(too little leisure) 
threshold 
threshold
Data 
• Mexican state ENOE panel dataset 
• Year coverage: 2005-2010 
– Overlap with the Global Financial Crisis 
– GDP growth fell from 5% in 2006 to –4.7% in 2009 
• Balanced panel 
– Full sample: age 18-65 
– Subsample: age 18-65, paid work in non-agriculture 
sectors throughout the period 
– No dropping in and out of the subsample due to 
changes in employment status 
11
Data 
• Leisure = total time minus time used for the 
following activities: 
– work, domestic chores, study, child care, house 
building and maintenance, and community 
services 
• Poverty thresholds: 
– 20 hrs/day (upper) 
– 11.5 hrs/day (lower) 
– Why these numbers are chosen is not clear 
12
13 
• Year-by-year static measures 
• Female is more likely in either type of poverty than male 
• Excess poverty contributes far more than shortfall to total 
poverty, justifying its inclusion in the analysis 
• % of female in excess poverty increased rapidly even before 
GFC (explanation?)
• More shortfall poverty and less excess poverty for both 
14 
genders due to work as expected 
• Strong dynamics even at the aggregate in both 
samples: need to consider chronic and transient 
poverty
Leisure (x, hrs) 
Time (t) 
Excess poverty 
threshold 
Shortfall poverty 
threshold 
xt 
In and out of excess poverty only
No in chronic excess or shortfall poverty, only in transient 
excess poverty 
Leisure (x, hrs) 
Time (t) 
xt 
Excess poverty 
threshold 
Shortfall poverty 
threshold
No in chronic excess or shortfall poverty, only in transient 
excess poverty 
Leisure (x, hrs) 
Time (t) 
xt 
Excess poverty 
threshold 
Shortfall poverty 
threshold 
Overstate the utility of {xt} 
if smoothing of leisure 
consumption is impossible
Leisure (x, hrs) 
Time (t) 
xt 
No in chronic shortfall poverty, however… 
Excess poverty 
threshold 
Shortfall poverty 
threshold 
Stability premium when 
more leisure is better
Leisure (x, hrs) 
Time (t) 
xt 
In chronic excess poverty 
Excess poverty 
threshold 
Shortfall poverty 
threshold 
Stability premium when 
less leisure is better
Empirical Setting 
• Excess poverty threshold = 20 hrs/day 
• Shortfall poverty threshold = 11.5 hrs/day 
• Higher permanent leisure (less is better) = μβ=1.1 
• Lower permanent leisure (more is better) = μβ=0.9 
• If μβ=1.1 > 20 => chronic excess poverty 
• If μβ=0.9 < 11.5 => chronic shortfall poverty 
• (μβ=1.1 > 20) & (μβ=0.9 < 11.5) at the same time is 
theoretically possible because μβ=1.1 > μβ=0.9 
• Gap of β’s (0.9-1.1) is narrow enough & gap of thresholds 
(11.5-20) is wide enough to rule that out in practice 
20
• Excess poverty dominates almost completely especially for the full sample 
• Paid workers in non-agriculture have less excess & more shortfall poverty 
21 
than the fall sample as seen in static analysis 
• Paid female workers are much more likely in shortfall poverty than male, 
probably because they still bear most of domestic duties (confirmed with 
the data?)
22 
• The definitions of “none-5” and “superior” are 
not clear 
• Excess poverty dominates completely 
• Poverty falls with education level
23 
• Spike of shortfall & excess poverty with bachelor 
degree? 
• Employed post-graduates have the highest % of 
excess poverty (93.6%)?
Poverty Intensity Weight 
• The paper accounts for severity of poverty by 
weighting each head count with various 
measures of poverty intensity 
• Intensity function: utility gap from the 
threshold as % of maximum possible utility 
gap (based on the Clark-Hemming-Ulph family 
used by Foster and Santos (2013)) 
24 
gL = 
	 
11.50.9 -m0.9 
b =0.9 
11.50.9 - 0 
					gH = 
1.1 - 201.1 
241.1 - 201.1 
mb =1.1
• Excess poverty is even more dominating 
• Differences between paid workers and full sample are even 
25 
greater 
• Intensity measure is bounded between 0 and 1, why 
weighted head count for female is greater than 1?
26 
• Poverty falls with education in general as expected 
• Poverty for none-5 and primary is greater than 1?
27 
• Much lower excess poverty as expected due to 
work 
• Excess poverty decreased till bachelor but 
increased after?
Spell Counting Approach 
• If an individual spends a proportion of time in 
poverty below/above a threshold then he/she 
is deemed chronically time poor 
• In the empirics 
– leisure < 11.5 hrs/day for at least 60% of time => 
chronic shortfall poverty 
– leisure > 20 hrs/day for at least 60% of time => 
chronic excess poverty 
28
29 
• Results are very similar between the two 
approaches except for female paid workers
Other “Treasury” of the Paper 
• Intensity weighted head count poverty using the 
spell counting approach 
• Other head county poverty measures 
• Other intensity functions 
• Measures of transient poverty 
• Detail examination of properties of various 
poverty measures 
• Poverty transition probability over 2005 and 2010 
30
Other Comments 
• An argument of considering excess time poverty 
is that it may be due to unemployment or poor 
health 
• Given typically employment and health data are 
more widely available (and more accurate?), 
what is the value-added of measuring excess time 
poverty from the policy perspective? 
• The main contribution of the paper is on the 
methodology rather than the application 
• Are there other applications of the non-monotonic 
poverty measures besides leisure? 
31
Conclusion 
• Objective: To propose measures of chronic and 
transient non-monotonic poverty; apply them to 
study leisure time poverty in Mexico 
• Motivation: Either too much or too little leisure is 
bad, so need to distinguish between excess and 
shortfall poverty 
• Methodology: A number of poverty head count 
measures with and without intensity weight are 
proposed; their properties are carefully examined 
33
Conclusion 
• Finding: 
– Various measures give largely consistent findings 
– 36% of 18-65 years old population is time poor 
– Excess poverty dominates shortfall poverty in all 
cases, and mostly by an extreme large margin 
– Those with paid work in non-agriculture sectors 
are much more likely to be in shortfall poverty and 
much less likely in excess poverty 
– Amongst paid workers, female are much more 
likely to be in shortfall poverty than male 
34

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Session 6 d iariw tang bresson, gallegos & yalonetzky 2

  • 1. The Dynamics of Non-Monotonic Poverty: Theory and Application to Time Poverty in Mexico Florent Bresson (Universite d’Orleans) Jose V. Gallegos (Research Center of Universidad del Pacifico) Gaston Yalonetzky (University of Leeds) Discussant: KK Tang (University of Queensland) 1
  • 2. Colour Scheme • Material drawn from the paper is in black. • Comments and questions are in blue. 2
  • 3. Objective • Propose new poverty measures that consider – Dynamics of poverty – Non-monotonicity of poverty • Apply them to study time poverty in Mexico during 2005-2010 3
  • 4. Motivation • Why dynamics of poverty? • Static measures of poverty provides only a snap shoot for a particular time • Some people may be in poverty for only a short period of time, while some others (e.g. least educated) may stay for much longer • So, in order to identify the most vulnerable groups, it is important to consider poverty over time and to distinguish those in chronic poverty from those in transient poverty • Why non-monotonicity of poverty? 4
  • 5. Monotonic Income Poverty 5 1.25 Income per day ($) (Wold Bank poverty line) Poverty intensity 0
  • 6. Non-Monotonic Time Poverty 0 24 leisure/day (hour) lower Shortfall poverty (too little leisure) threshold
  • 7. Non-Monotonic Time Poverty 0 24 leisure/day (hour) lower Shortfall poverty (too little leisure) threshold But too much leisure could be due to some negative situations: • Unable to do domestic or paid work due to poor health • Being unemployed due to poor labour market environment
  • 8. Non-Monotonic Time Poverty Excess poverty (too much leisure) 0 upper 24 leisure/day (hour) lower Shortfall poverty (too little leisure) threshold threshold
  • 9. Data • Mexican state ENOE panel dataset • Year coverage: 2005-2010 – Overlap with the Global Financial Crisis – GDP growth fell from 5% in 2006 to –4.7% in 2009 • Balanced panel – Full sample: age 18-65 – Subsample: age 18-65, paid work in non-agriculture sectors throughout the period – No dropping in and out of the subsample due to changes in employment status 11
  • 10. Data • Leisure = total time minus time used for the following activities: – work, domestic chores, study, child care, house building and maintenance, and community services • Poverty thresholds: – 20 hrs/day (upper) – 11.5 hrs/day (lower) – Why these numbers are chosen is not clear 12
  • 11. 13 • Year-by-year static measures • Female is more likely in either type of poverty than male • Excess poverty contributes far more than shortfall to total poverty, justifying its inclusion in the analysis • % of female in excess poverty increased rapidly even before GFC (explanation?)
  • 12. • More shortfall poverty and less excess poverty for both 14 genders due to work as expected • Strong dynamics even at the aggregate in both samples: need to consider chronic and transient poverty
  • 13. Leisure (x, hrs) Time (t) Excess poverty threshold Shortfall poverty threshold xt In and out of excess poverty only
  • 14. No in chronic excess or shortfall poverty, only in transient excess poverty Leisure (x, hrs) Time (t) xt Excess poverty threshold Shortfall poverty threshold
  • 15. No in chronic excess or shortfall poverty, only in transient excess poverty Leisure (x, hrs) Time (t) xt Excess poverty threshold Shortfall poverty threshold Overstate the utility of {xt} if smoothing of leisure consumption is impossible
  • 16. Leisure (x, hrs) Time (t) xt No in chronic shortfall poverty, however… Excess poverty threshold Shortfall poverty threshold Stability premium when more leisure is better
  • 17. Leisure (x, hrs) Time (t) xt In chronic excess poverty Excess poverty threshold Shortfall poverty threshold Stability premium when less leisure is better
  • 18. Empirical Setting • Excess poverty threshold = 20 hrs/day • Shortfall poverty threshold = 11.5 hrs/day • Higher permanent leisure (less is better) = μβ=1.1 • Lower permanent leisure (more is better) = μβ=0.9 • If μβ=1.1 > 20 => chronic excess poverty • If μβ=0.9 < 11.5 => chronic shortfall poverty • (μβ=1.1 > 20) & (μβ=0.9 < 11.5) at the same time is theoretically possible because μβ=1.1 > μβ=0.9 • Gap of β’s (0.9-1.1) is narrow enough & gap of thresholds (11.5-20) is wide enough to rule that out in practice 20
  • 19. • Excess poverty dominates almost completely especially for the full sample • Paid workers in non-agriculture have less excess & more shortfall poverty 21 than the fall sample as seen in static analysis • Paid female workers are much more likely in shortfall poverty than male, probably because they still bear most of domestic duties (confirmed with the data?)
  • 20. 22 • The definitions of “none-5” and “superior” are not clear • Excess poverty dominates completely • Poverty falls with education level
  • 21. 23 • Spike of shortfall & excess poverty with bachelor degree? • Employed post-graduates have the highest % of excess poverty (93.6%)?
  • 22. Poverty Intensity Weight • The paper accounts for severity of poverty by weighting each head count with various measures of poverty intensity • Intensity function: utility gap from the threshold as % of maximum possible utility gap (based on the Clark-Hemming-Ulph family used by Foster and Santos (2013)) 24 gL = 11.50.9 -m0.9 b =0.9 11.50.9 - 0 gH = 1.1 - 201.1 241.1 - 201.1 mb =1.1
  • 23. • Excess poverty is even more dominating • Differences between paid workers and full sample are even 25 greater • Intensity measure is bounded between 0 and 1, why weighted head count for female is greater than 1?
  • 24. 26 • Poverty falls with education in general as expected • Poverty for none-5 and primary is greater than 1?
  • 25. 27 • Much lower excess poverty as expected due to work • Excess poverty decreased till bachelor but increased after?
  • 26. Spell Counting Approach • If an individual spends a proportion of time in poverty below/above a threshold then he/she is deemed chronically time poor • In the empirics – leisure < 11.5 hrs/day for at least 60% of time => chronic shortfall poverty – leisure > 20 hrs/day for at least 60% of time => chronic excess poverty 28
  • 27. 29 • Results are very similar between the two approaches except for female paid workers
  • 28. Other “Treasury” of the Paper • Intensity weighted head count poverty using the spell counting approach • Other head county poverty measures • Other intensity functions • Measures of transient poverty • Detail examination of properties of various poverty measures • Poverty transition probability over 2005 and 2010 30
  • 29. Other Comments • An argument of considering excess time poverty is that it may be due to unemployment or poor health • Given typically employment and health data are more widely available (and more accurate?), what is the value-added of measuring excess time poverty from the policy perspective? • The main contribution of the paper is on the methodology rather than the application • Are there other applications of the non-monotonic poverty measures besides leisure? 31
  • 30. Conclusion • Objective: To propose measures of chronic and transient non-monotonic poverty; apply them to study leisure time poverty in Mexico • Motivation: Either too much or too little leisure is bad, so need to distinguish between excess and shortfall poverty • Methodology: A number of poverty head count measures with and without intensity weight are proposed; their properties are carefully examined 33
  • 31. Conclusion • Finding: – Various measures give largely consistent findings – 36% of 18-65 years old population is time poor – Excess poverty dominates shortfall poverty in all cases, and mostly by an extreme large margin – Those with paid work in non-agriculture sectors are much more likely to be in shortfall poverty and much less likely in excess poverty – Amongst paid workers, female are much more likely to be in shortfall poverty than male 34