Have the under five global mortality rates risen in 2002 and 2003 from
previous trends?

According to the data table regarding under five mortality rates by
country provided by the UNSD Millennium Indicator Database, under five
global mortality rates have declined in 2002 in comparison to previous
years.

United Nations, 2003 
UNSD Millennium Indicator Database
http://millenniumindicators.un.org/unsd/mi/mi_series_results.asp?rowID=561&fID=r10&cgID=

Only 15 countries have seen a rise in their under five mortality rates
from 1995-2000.

Country               1995    2000   2002
Botswana               66      101    110
Cambodia              120      135    138   
Cameroon              156      166    166
Cote d'Ivoire         175      188    191
Finland                 4        5      5
Iraq                  122      125    125
Kazakhstan             71       75     76   
Kenya                 111      120    122
Saint Vincent and 
the Grenadines         21       25     25
South Africa           59       63     65
Swaziland             110      142    149
Turkmenistan           90       97     98
United Republic 
of Tanzania           164      165    165
Uzbekistan             63       67     68
Zimbabwe               90      117    123

Source:
Millennium Indicator: 'Children under five mortality rate per 1,000
live births (UNICEF estimates)'
http://millenniumindicators.un.org/unsd/mi/mi_series_resultsd.asp?rowID=561&fID=r10&cgID=&action=print

Search terms used

Under five mortality rates global OR worldwide
Under five mortality rates 1990..2003

I hope this helps!

Best regards,
Bobbie7

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except I don't have top provide office space.