Question

.2. Binary fission is a type of asexual reproduction wherein a cell splits down the middle. While no death has taken place, one of the daughter cells has essentially replaced the parent cell. .a. Calculate the per-capita growth rate (r) for a single asexual bacterium that undergoes simple binary fission. [1] LOTO robot or Noteb Woo sted og deb of side and blue .b. Calculate the population sizes of the first four generations. Your numbers should make sense. If they don't, you have miscalculated something. [1]

Answer 1

A)

Per capita growth rate= ((B-D)+(I+E))/N

where B is birth rate,

D is death rate,

I is immigration (individuals joining the population)

E is emigration (individuals leaving the population)

N is the initial number of individuals

Here, I and E are 0 as it is a closed population and no individuals join or leave the population.

Therefore,

Per capita growth= (2-1)/1, as 2 cells are formed from a single cell.

=1

B)

N_f= N_i+ (B-D) + (I-E),

where B is birth rate,

D is death rate,

I is immigration (individuals joining the population)

E is emigration (individuals leaving the population)

N_i initial individuals and N_f final individuals

For 1st gen

N_f= 1 + (2-1)

= 2 (population size after 1st gen)

For 2nd gen

N_f= 2+ ((2X2)-2)

= 2+ (4-2)

= 4 (population size after 2nd gen)

For 3rd gen

N_f= 4+ ((4x2)- 4)

= 4+ (8-4)

= 8 (population size after 3rd gen)

For 4th gen

N_f= 8+ ((8x2)-8)

= 8+ (16-8)

= 8+8

= 16 (population size after 4th gen)

For each generation, 1 cell is replaced by 2 cells.