07 Plant Growth and Mineral Nutrition - part 04 - Growth Rate and types of growth

07 Plant Growth and Mineral Nutrition - part 04 - Growth Rate and types of growth


Growth Rate and types of growth : 

Growth rate : 
  • It is the increased growth per unit time. 
  • It is also called efficiency index. 
  • Rate of growth can be measured by an increase in the size and area of different plant organs like leaf, flower and fruits. 
  • The ratio of change in the cell number (dn) over the time interval (dt) is called Absolute growth rate (AGR). 
  • Alternatively, it is the measurement and comparison of total growth per unit time.
  • The AGR, when divided by total number of cells present in the medium, gives Relative growth ratio (RGR). 
  • Alternatively, RGR refers to the growth of a particular system per unit time, expressed on a common basis or it is the ratio of growth in the given time/ initial growth. 
  • AGR and RGR are useful in describing the dynamics of cell growth in culture. 
Types of growth : 
  • There are two types of growth viz- 
  1. Arithmetic growth and 
  2. Geometric growth. 
1. Arithmetic growth : 
  • Here, rate of the growth is constant and an increase in the growth occurs in arithmetic progression. i.e. 2, 4, 6, 8 cms etc.
  • In this type of growth, the rate of growth is constant. 
  • After mitosis one of the daughter cell continues to divide and the other cell takes part in the differentiation and maturation. 
  • e.g. elongation of root at a constant rate, best explains arithmetic growth. 
  • Linear curve is obtained when growth rate is plotted against the time. 
  • Arithmetic growth is expressed mathematically by an equation, 
  • It is expressed as, Lt = Lo + rt Where 
  1. Lt = Length at time `t' 
  2. Lo = Length at time `Zero' 
  3. r = Growth rate 
  4. t = Time of growth 
  • When graph of length (L) is plotted against the time (t), a linear curve is obtained as indicated in the diagram. 
2. Geometric growth : 

  • Cell divides mitotically into two. 
  • Here, both the daughter cells continue to divide and redivide repeatedly.Such growth is called geometric growth. 
  • Here, growth rate is slow initially but later on there is a rapid growth at exponential rate. 
  • Geometric growth can be expressed mathematically by an equation.
  • We can also observe quantitative comparison between the growth of living system in two ways. 
  • Measurement and comparisons of total growth per unit time is called the Absolute growth rate(AGR) 
  • The growth of the given system per unit time expressed on a common basis per unit initial parameter is called the Relative growth rate(RGR).
  • In the above example, two leaves `A' and `B' are of different sizes but show same absolute increase in area in a given time. 
  • Both leaves grow and increase their area by 5cm2 to produce `A' and `B' leaves. 
  • `A' leaf of 5cm2 in size grows 5cm2/ day then its RGR would be 100%.
  •  If the leaf is 50cm2 in size and the growth rate/day is 5cm2 then its RGR would become 10%. 

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