Susan:  One article that might answer your question is by Molbak, K et al.
"Prolonged breastfeeding, diarrhoeal disease, and survival of children in
Guinea-Bissau," BMJ 1994; 308: 1403-06.
From the LLLI  1995 Fact Sheet:
"Though children who are partially breastfed in the second and third years
of life may have a lower energy intake than the weaned ones, the benefit in
terms of lower morbidity may be more important for child survival in places
with a high morbidity from diarrhoea and with high mortality; children aged
12-35 months who were not breastfed had a 3.5 TIMES higher mortality than
breastfed children."

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