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<title>FAFO Report 151</title>

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<H2>Childhood Mortality Estimation</H2>

The infant mortality rate q(1) and under five mortality rate q(5) represent
probabilities of dying before exact ages 1 and 5 years, respectively. Several
indirect methods of measuring q(1) and q(5) have been suggested in the literature
(UN, 1983). The data at our disposal do not permit the use of methods such
as the preceding birth (PB) and life table methods. However, the Brass (1964)
method and its variants are applicable in our case. We will arrive at estimates
of q(1) and q(5) using two approaches. The first approach uses data on CEB
and CS classified by age of mother. The second approach uses data on CEB
and CS classified by duration of marriage. Once estimates are obtained,
they will be compared with estimates of  OT, made by UNICEF and JFPPA, and
of neighbouring countries.

<P>
<B>Preliminaries</B><BR>
The results of this section should be read  bearing the following considerations
in mind:<BR>

<OL TYPE="a">
<LI>When estimating mortality levels we need a so-called mortality model.
We have chosen the West model life table (Coale and Demeny 1983) because
it has been shown by the UNICEF and JFPPA regional office to fit Middle
East populations reasonably well. Moreover, in the absence of literature
on mortality trends in the region, the West model, being an average model
based on a large number of empirical life tables, is a primary choice.

<LI>The methods being used to estimate q(1) and q(5) usually produce better
results for q(5) than for q(1). Hence, one should always treat estimates
of q(1) with caution.

<LI>Estimates of q(x), x=1,5, based on the first and to some extent the second
age groups (or duration groups), are normally discarded on account of their
instability.

<LI>In the case of this data set, a single estimate of q(x), x=1,5, will be
produced by calculating the weighted average of q(x) for the second and
the third groups with weights being the proportion of CEB in each group.

<LI>Trends of q(x), x=1,2, will be presented in common indices to facilitate
comparisons.

<LI>The data are weighted and the effect of weighing can be seen from the
CEB values since they are given with decimals and not as integers.
</OL>

<P>
<B>Estimates Using Data Classified by Age Group of Mothers</B><BR>
Table 2.6 presents input data for analysis. Disregarding gender, the above
table shows that 9%1 of reported CEB have survived by the time of field
work. Using data of the above table and the methodology described in UN
(1983), the calculated mean age at child- bearing is 26.35 years for both
sexes, 27.91 years females, and 25.84 years for males.
<p>

<i>Table 2.6 Number of children ever born and children surviving by age group of mothers and sex of children</i><br>

<center>
<table border=1 cellspacing=0 cellpadding=5>
<tr align=center><td rowspan=2>Age Group</td><td rowspan=2>Number of<br> respondents</td><td colspan=3>Children Ever Born (CEB)</td><td></td><td colspan=3>Children Surviving (SC)</td></tr>
<tr align=center><td>Both</td><td>Males</td><td>Females</td><td></td><td>Both</td><td>Males</td><td>Females</td></tr>
<tr align=center><td>15-19</td><td>258</td><td>34.46</td><td>15.53</td><td>18.93</td><td></td><td>34.10</td><td>15.17</td><td>18.93</td></tr>
<tr align=center><td>20-24</td><td>184</td><td>232.77</td><td>117.67</td><td>115.10</td><td></td><td>220.86</td><td>114.28</td><td>106.58</td></tr>
<tr align=center><td>25-29</td><td>179</td><td>459.26</td><td>273.76</td><td>185.50</td><td></td><td>436.42</td><td>185.50</td><td>174.42</td></tr>
<tr align=center><td>30-34</td><td>128</td><td>624.08</td><td>349.19</td><td>274.89</td><td></td><td>583.15</td><td>330.63</td><td>252.52</td></tr>
<tr align=center><td>35-39</td><td>90</td><td>500.60</td><td>231.50</td><td>269.10</td><td></td><td>454.49</td><td>218.71</td><td>235.78</td></tr>
<tr align=center><td>40-44</td><td>84</td><td>520.84</td><td>272.49</td><td>248.35</td><td></td><td>463.08</td><td>237.42</td><td>225.78</td></tr>
<tr align=center><td>45-49</td><td>72</td><td>629.96</td><td>325.29</td><td>304.67</td><td></td><td>535.53</td><td>275.57</td><td>259.96</td></tr>
<tr align=center><td>Total</td><td>995</td><td>3001.97</td><td>1585.43</td><td>1416.54</td><td></td><td>2727.63</td><td>1453.78</td><td>1273.85</td></tr>
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<P>
Further calculations show that the probability of dying before age x is
almost identical for the two standard alternative procedures (Palloni-Heligman,
Trussel). The only slight difference is in the estimated reference dates.
However, the differences between the reference dates are not of a large
magnitude. For trend assessment, estimates of q(1) and q(5) can be converted
to common indices as shown in table 2.7 together with life expectancy at
birth, e<sub>0</sub>.<p>

<i>Table 2.7 Estimates of probability of dying by exact age 1 an d 5 and life expectancy at birth (in common indices) using two different versions</i><br>

<center>
<table border=1 cellspacing=0 cellpadding=5>
<tr align=center><td></td></tr>
<tr align=center><td></td><td colspan=4>United Nations Models</td><td colspan=4>Coale-Demeny Models</td></tr>
<tr align=center><td></td><td></td><td colspan=3>(Palloni-Heligman)<br> General model</td><td></td><td colspan=3>(Trussel)<br>West model</td></tr>
<tr align=center><td>Age of woman</td><td>Reference date</td><td>q(1)</td><td>q(5)</td><td>e(0)</td><td>Reference date</td><td>q(1)</td><td>q(5)</td><td>e(0)</td></tr>
<tr align=center><td>15-19</td><td>May 1991</td><td>.024</td><td>.029</td><td>75.0</td><td>Oct 1991</td><td>.018</td><td>.021</td><td>73.1</td></tr>
<tr align=center><td>20-24</td><td>May 1990</td><td>.048</td><td>.062</td><td>67.1</td><td>May 1990</td><td>.048</td><td>.063</td><td>65.0</td></tr>
<tr align=center><td>25-29</td><td>Jul 1988</td><td>.041</td><td>.053</td><td>69.0</td><td>Mar 1988</td><td>.041</td><td>.053</td><td>66.7</td></tr>
<tr align=center><td>30-34</td><td>Jan 1986</td><td>.050</td><td>.066</td><td>66.5</td><td>Jul 1985</td><td>.049</td><td>.064</td><td>64.8</td></tr>
<tr align=center><td>35-39</td><td>Jan 1983</td><td>.063</td><td>.086</td><td>62.7</td><td>Aug 1982</td><td>.062</td><td>.089</td><td>61.9</td></tr>
<tr align=center><td>40-44</td><td>Oct 1979</td><td>.069</td><td>.096</td><td>61.2</td><td>Jul 1979</td><td>.068</td><td>.094</td><td>60.5</td></tr>
<tr align=center><td>45-49</td><td>Mar 1976</td><td>.083</td><td>.120</td><td>57.3</td><td>Jul 1976</td><td>.082</td><td>.121</td><td>57.5</td></tr>
</table>
</center>

<P>
Inspection of the estimates of q(1) and q(5) shows a clear mortality decline
during the last 15 years. The high estimate of q(x) for May 1990 is expected
since it is based on an age group (20-24) where many women marry and have
their first child, there is usually a surplus mortality for first births.<BR>
Life expectancy at birth is calculated using values of q(1), which explains
the upward trend in life expectancy.

<P>
To get a single estimate for q(1), q(5) and e0, we use the weighted average
of the estimates of each parameters for age groups 20-24 and 25-29. The
weights suggested here are the proportion of CEB in each age group (0.336
for 20-24 and 0.664 for 25-29). This is done to avoid discarding the mortality
experience for the 20-24 age group altogether, and to obtain estimates that
are fairly recent.

<P>
Our estimate of q(1) is 43 deaths per one thousand live births for both
the Palloni-Heligman and Trussell approaches. The Palloni-Heligman estimate
refers to February 1989 and the Trussell's estimate refers to December 1988,
both of which in practice refer to the same time period. The estimate of
q(5) for the same reference dates is 56 deaths per one thousand live births.
The two procedures also give very similar estimates of q(1) and q(5) for
each sex.

<P>
We have also estimated child mortality using children ever born and children
surviving by duration of marriage of mothers, using Trussell's procedure,
see table 2.8.<p>

<i>Table 2.8 Estimates of probability of dying by exact age x, 1 and 5 and life expectancy at birth, Trussell version</i><br>

<center>
<table border=1 cellspacing=0 cellpadding=5>
<tr align=center><td></td><td colspan=6>TRUSSELL Version WEST Model Life Table</td></tr>
<tr align=center><td rowspan=2>Duration of<br> marriage</td><td></td><td></td><td colspan=4>Converted probabilities Common Indices</td></tr>
<tr align=center><td>Age x</td><td>Reference date</td><td>q(x)</td><td>q(1)</td><td>q(5)</td><td>e(0)</td></tr>
<tr align=center><td>0- 5</td><td>2</td><td>Mar 1991</td><td>.020</td><td>.019</td><td>.022</td><td>72.9</td></tr>
<tr align=center><td>5-10</td><td>3</td><td>Apr 1989</td><td>.080</td><td>.064</td><td>.087</td><td>61.5</td></tr>
<tr align=center><td>10-15</td><td>5</td><td>Mar 1987</td><td>.066</td><td>.050</td><td>.066</td><td>64.6</td></tr>
<tr align=center><td>15-20</td><td>10</td><td>Jan 1985</td><td>.079</td><td>.055</td><td>.073</td><td>63.6</td></tr>
<tr align=center><td>20-25</td><td>15</td><td>Sep 1982</td><td>.096</td><td>.061</td><td>.083</td><td>62.1</td></tr>
<tr align=center><td>25-30</td><td>20</td><td>Dec 1979</td><td>.098</td><td>.057</td><td>.077</td><td>63.0</td></tr>
<tr align=center><td>30-35</td><td>25</td><td>Jan 1977</td><td>.203</td><td>.101</td><td>.146</td><td>53.7</td></tr>
</table>
</center>
<P>
Generally, estimates of q(x) based on data by duration of marriage are expected
to be more reliable than those derived from data by age of mother, due to
a higher accuracy in reporting age at first marriage (being a memorable
experience). However, for this data set, the sample size is not large enough
to permit reliable estimation. Therefore, since we are looking for trends
in IMR and U5MR rather than specific point estimates, both approaches show
a decline in q(1) and q(5) during the last fifteen years, but the decline
based on the age-of-mother data is more systematic. Moreover, the decline
in q(1) and q(5) resulting from the age group method agree quite well with
that reported by UNICEF and JFPPA for the same period. Based on these arguments,
we recommend adopting the q(x) values based on data by age of mother.

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<a href="../../../../../../../base/mailpage.html">al@mashriq</a>                       960715</pre>

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