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THE JOURNAL OF ECONOMIC SCIENCES: THEORY AND PRACTICE, V.78, # 2, 2021, pp. 43-62



                    In some child health literature, it is assumed that the production function is static so
                    that current output is a function of only current inputs. However, many human capital
                    variables  we  are  concerned  about  are  stocks,  not  flows.  For  instance,  many  health
                    variables, such as child height, weight or birth weight are cumulative measures that
                    depend on inputs in past periods and possibly on past health outcomes as well. In fact,
                    Grossman’s (1972a) seminal paper on the demand for health treats health as a capital
                    stock, which depends on past values and current inputs, more so in the Grossman’s
                    model, the demand for health is for investment and consumption purposes (Ajakaiye
                    and Mwabu, 2009). In the spirit of this framework, reproductive health yields direct
                    utility to an individual and also increases labour income through the reduction in sick
                    time so that more time is available for production and through increase work effort.

                    In this framework, the economic model of the family developed by Becker (1965)
                    and  as  applied  by  Frijters  et  al  (2008)  forms  the  analytical  framework  for  our
                    analysis  of  the  consequences  of  access  to  portable  drinking  water  (capture  as  tap
                    water  supply  (APW))    on  child  health  (capture  by  child  ill/death  due  to  diarrhea
                    diseases  (CDD)).  This  relationship  can  be  described  within  the  framework  of  a
                    simple household production model of child health for family i, as follows:

                    CDD =         i  +  1 APW +        i 1                       (1)
                             i
                                                     i
                                      1

                    Where  CDD is a binary variable representing child  si'  ill/death due to diarrhea as
                                i
                    the  parent  used  or  gave  contaminated  water  to  the  child,  is  a  vector  of  (1)
                                                                                  i
                    household  characteristics  such  as  place  of  residence,  socioeconomic  status  and
                    household  size;  (2)  parental  characteristics  with  variables  such  as:  fertility  rate,
                    aliteracy,  prenatal  care,  birth  interval  and  marital  status  of  mother  and  (3)  child
                    characteristic  such  as  age  of  the  child  as  well  as  sex  of  the  child.  The  APW is

                                                                                                  i
                    household access to portable water capture in this study as tap water supply in both
                    rural and urban households respectively and  is a random error term.   is a vector
                                                                 i
                                                                                          1
                    of parameters associated with the exogenous variables in the outcome equation.  The
                    coefficient   is the parameter of primary interest and represents the impact that the
                                 1
                    household  access  to  portable  water  has  on  child  health  in  Cameroon  using  the
                    demographic  and  health  survey  data.  Considering  this  single  equation,  the  Probit
                    estimates may be upward or downward biased depending upon the effect that child
                    health  has  on  household  access  to  portable  water  and  on  the  correlation  between
                    omitted variables and household access to portable water.



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