Harvesting Natural Populations Flashcards
What increases ‘stock’?
Growth of organism
recruitment of organism
What decreases stock?
Natural mortality
Harvest
Maximum yield equation
S2=S1+R+G-NM-H
S= Stock R= mass of new recruits (recruitment) G=growth of mass of fish remaining alive H= mass harvested NM=mass lost to natural mortality
Balance resource equation
R+G=NM+H
Assumption of maximum yield
Harvest losses and natural mortality are compensatory
it is best to have harvest occur just before period of maximum natural mortality
Logistic growth equation
dN/dt=rN((K-N)/K)
for optimal yield, assume the populations follow….
a logistic growth pattern
For maximum yield at what point can one harvest
inflection point, have the greatest input of individuals per unit time.
Logistic model, harvesting equation
dN/dt=rN((K-N)/K)-qXN
K= asymptotic density in absence of fishing
q=catchability (constant given current technology)
X=fishing effort (thus qX=fishing mortality rate)
What is ‘qXN’ in the equation dN/dt=rN((K-N)/K)-qXN?
it is what human take. They act as the predators in this system
q= catchability X= fishing effort
qX=fishing mortality rate
What information can we gain from the graph of the maximum sustainable yield?
the number of individuals can be taken before over-harvesting occurs.
Indicates the number of recruitments annually. That number indicates a safe number that can be taken.
sustained yield defined
long term harvest that does not lead to extinction or unacceptable decline in a population.
Where on the maximum sustainable yield graph is absolute recruitment rate at its highest?
The middle
Where incline meets the annual recruitment parabola.
Assumptions of a logistic model (5)
- No time lag
- Age structure has no effect on population growth
- catchability remains constant all densities
- enviornmental conditions do not change
- our estimate of the removable stock is accurate
Consequences of variable form from density dependence?
GRAPH!