12.5. Empirical Formulation of DAD Relationships

Try these first

1. 1.

   What is the theoretical maximum rainfall represented by P₀?

   Hint

   Think about rainfall at a single point without considering area.

2. 2.

   What does the decay constant 'k' indicate?

   Hint

   Think about how rainfall spreads out over larger areas.

3. 3.

   What does P₀ represent in DAD relationships?

   • Average rainfall over an area
   • Maximum point rainfall at zero area
   • Decay constant

   Hint

   Consider what maximum rainfall means in the absence of area.

4. 4.

   True or False: The decay constant 'k' indicates higher rainfall depth with larger areas.

   • True
   • False

   Hint

   Think about how rainfall spreads across larger spaces.

5. 5.

   Consider a region with a total area of 50 km². If the maximum point rainfall (P₀) is 80 mm and the decay constant (k) is 0.05, calculate the average precipitation using the empirical formula.

   Hint

   Make sure to apply the decay formula correctly with the given values.

6. 6.

   Discuss the impact of using an incorrect decay constant in flood estimation in the context of DAD relations.

   Hint

   Think about how a higher or lower value of k might affect rainfall predictions.