(a) Define pasture.
(b) List three features of natural pastures.
(c) A piece of land to be used to establish a pasture of Stylosanthes gracilis was surveyed to be circular.
(i) If the radius of the land is 200m and the spacing of the pasture legume is lm by 50cm, what is the population of the legume at one seed per stand?
(ii) If the germination percentage is 75, calculate the expected plant population. (iii) Give two ways in which Stylosanthes gracilis is important in agricultural production.
(a) Pasture: A pasture is an area of land covered with grasses and legumes (herbage) which is used for grazing or feeding livestock.
(b) Three features of natural pastures:
- They grow on their own without being deliberately planted or managed by man.
- They contain a mixture of many different, often unimproved, species of grasses and legumes.
- They are usually of low quality and low carrying capacity, and their growth depends on rainfall.
(c) Calculations:
(i) Population of the legume at one seed per stand:
Area of the circular land, \( A = \pi r^{2} \), with \( r = 200\,\text{m} \) and \( \pi = 3.142 \):
\[ A = 3.142 \times (200)^{2} = 3.142 \times 40000 = 125680\ \text{m}^{2} \]
Spacing \( = 1\,\text{m} \times 50\,\text{cm} = 1\,\text{m} \times 0.5\,\text{m} = 0.5\ \text{m}^{2} \) per stand.
\[ \text{Population} = \dfrac{\text{Area}}{\text{Spacing}} = \dfrac{125680}{0.5} = 251360\ \text{stands} \]
At one seed per stand, the population of the legume \( = 251{,}360 \) plants.
(ii) Expected plant population at 75% germination:
\[ \text{Expected population} = \dfrac{75}{100} \times 251360 = 188520\ \text{plants} \]
(iii) Two ways Stylosanthes gracilis is important in agricultural production:
- Being a legume, it fixes atmospheric nitrogen and improves soil fertility (it is also used as green manure and cover crop to check erosion).
- It provides nutritious, protein-rich forage (fodder) for feeding livestock.