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                   High Latitude                                           23.14.   Use Table 23.2 to obtain the total percentage of human-made
                                3 W _
                                                   √   L           +  L    )
                                                  L stick
                      I max  = 1.0 × 10          I = I max       __              greenhouse gases and the total percentage of human-made



                                 m 2             2   2

                                             (                                   carbon dioxide. The percentage of human-made carbon dioxide
                                                      shadow
                      L stick  = 0.75 m         stick
                                                                                 is the ratio of these values times 100%.
                     L shadow  = 2.23 m         3 W _ __
                                                         0.75 m
                                        = 1.0 × 10                      2)



                        I = ?                    m (            (0.75 m)  + (2.23 m)             human-made carbon dioxide = 0.117%
                                                  2
                                                         √
                                                           2

                                                                                            total human-made greenhouse gases = 0.28%
                                                3 __ W _ _                    percent carbon dioxide in human-made greenhouse gases =?
                                                           2 )
                                                     0.75
                                                                 m
                                                                   2)


                                        = 1.0 × 10






                                                              2


                                                      2
                                                       √
                                                 (        0.75  + 2.23    m ( √      m       percent carbon
                                                                                                human-made carbon dioxide



                                                                           dioxide in human-made =   ___                 ×
                                                                                                                     100%
                                                           )
                                                3 __ W _                                      total human-made greenhouse gases
                                                     0.75



                                        = 1.0 × 10                         greenhouse gases

                                                      +
                                                 (        √         m 2
                                                        4.97

                                                   0.56

                                                                                               0.117%


                                                                                             =   _     × 100%
                                                      )
                                                3 _ W _                                        0.28%
                                                   0.75
                                        = 1.0 × 10



                                                 (        √      m 2                         = 42%
                                                   5.53

                                                                           23.15.   Use Table 23.2 to obtain the total percentage of human-made
                                                3 0.75 W _
                                                  _

                                        = 1.0 × 10    (    )                     greenhouse gases and the total percentage of human-made
                                                  2.35 m 2
                                                                                 methane. The percentage of human-made methane is the ratio

                                                      W _
                                                3

                                        = 1.0 × 10  (0.32)                       of these values times 100%.
                                                     m 2
                                                                                                     human-made methane = 0.066%
                                                3 W _
                                        = 3.2 × 10                                          total human-made greenhouse gases = 0.28%

                                                 m 2
                                                                                 percent methane in human-made greenhouse gases =?
                    23.11.   Compare the monthly temperature to the discussion in the
                                                                            percent methane
                          Major Climate Groups section of the text.                       ___
                                                                                              human-made methane
                                                                                                                 ×


                                                                           in human-made    =                   100%

                             The average monthly temperature stays above 18°C, so         total human-made greenhouse gases
                                                                           greenhouse gases
                          this city is in the  tropical climate  zone.                     0.066%



                             This problem has made use of data obtained from NOAA        =   _     × 100%
                                                                                            0.28%
                          National Climatic Data Center (NCDC) Monthly Global
                                                                                         = 2.4%
                          Surface Data. http://gis.ncdc.noaa.gov/website/ims-cdo/
                          gcosmon/viewer.htm
                                                                           CHAPTER 24
                    23.12.   Compare the monthly temperature and total precipitation to

                          the criteria in Table 23.1.                      24.1.   Calculate the difference between precipitation and potential

                             The average monthly temperature shows this location has long   evapotranspiration (evaporation and transpiration) to obtain
                          and cold winters, moderate summers, and moderate precipitation.   the net water budget.

                          This city is in a  humid continental (mid-latitudes)  climate.     precipitation = 254 mm
                             This problem has made use of data obtained from NOAA   potential evapotranspiration = 1,800 mm

                          National Climatic Data Center (NCDC) Monthly Global             net water budget = ?
                          Surface Data. http://gis.ncdc.noaa.gov/website/ims-cdo/    net water budget = precipitation − potential evapotranspiration
                          gcosmon/viewer.htm                                             = 254 mm − 1,800 mm
                    23.13   For each case, calculate the reflected electromagnetic radiation   = −1,546 mm


                          by multiplying the albedo by the incoming solar radiation.  The net water budget is negative so there is a water defi cit.

                   Asphalt                                                 24.2.   Calculate the difference between precipitation and potential
                                                   2 W _

                           incoming solar radiation = 9.1 × 10                   evapotranspiration to obtain the net water budget.
                                                    m 2
                                          α = 0.12                                           precipitation = 1,143 mm
                           reflected solar radiation = ?                          potential evapotranspiration = 508 mm
                             __                                                           net water budget = ?
                              reflected solar radiation

                          α =

                             incoming solar radiation                          net water budget = precipitation − potential evapotranspiration
                             ∴  reflected solar radiation = α (incoming solar radiation)  = 1,143 mm − 508 mm
                                                 (      2 W _ 2)                        = 635 mm

                           reflected solar radiation = (0.12)  9.1 × 10
                                                         m                       The net water budget is positive so there is a water surplus.

                                                   2 W _

                                           = 1.1 × 10                      24.3.   Rearrange the watershed budget equation to derive an equation
                                                    m 2
                   Concrete                                                      for each component in terms of the other components, and
                                                   2 W _                         write an equation that expresses Q S  in terms of the surplus.

                           incoming solar radiation = 9.1 × 10
                                                    m 2
                                          α = 0.55                                   P = AE + Q S  + Q G
                                                                                 ∴  AE = P − (Q S  + Q G )
                           reflected solar radiation = ?
                                                                                  ∴  Q S  = P − (AE + Q G )
                             __
                              reflected solar radiation
                          α =                                                    ∴  Q G  = P − (AE + Q S )


                             incoming solar radiation
                                                                                 and   Q S  = 53% (P − AE)
                             ∴  reflected solar radiation = α (incoming solar radiation)
                                                (      2 W _ 2)                  Substitute the expression of Q S  in terms of surplus into the
                           reflected solar radiation = 0.55  9.1 × 10

                                                        m                        equation for Q G .
                                                   2 W _
                                           = 5.0 × 10                            Q G  = P − (AE + 53% (P−AE))

                                                    m 2
                   696     APPENDIX E  Solutions for Group A Parallel Exercises                                         E-54
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