Step 1: Understanding the Concept:
Before the development of modern watershed models, several empirical rainfall-runoff relationships were developed in India.
These empirical formulas, tables, and curves were designed for specific geographic regions and catchments to estimate runoff from rainfall data.
Step 2: Detailed Explanation:
Let us match each historical rainfall-runoff relation to its specific geographic region:
- (A) Binnie's Percentage Table:
Developed by Sir Alexander Binnie for the Nagpur water supply scheme.
It is based on observations made in catchments located in Madhya Pradesh (III).
It expresses runoff as a percentage of total rainfall.
- (B) Strange's Curves and Tables:
Developed by William Lumisden Strange for the Bombay-Deccan catchment (I).
It classifies catchments into three categories: good, average, and bad based on their runoff potential.
- (C) Barlow's Tables:
Developed by T.G. Barlow for small catchments in Uttar Pradesh (II).
It uses a coefficient based on catchment nature and season to determine runoff.
- (D) Lacey's Formula:
Developed by Gerald Lacey for the Indo-Gangetic plain (IV) and other alluvial regions.
It estimates the monsoon runoff based on catchment characteristics.
Therefore, the correct matching is: (A) - (III), (B) - (I), (C) - (II), (D) - (IV).
Step 3: Final Answer:
The correct matching is (A) - (III), (B) - (I), (C) - (II), (D) - (IV).