Relationship between Resources and use

Flow resources:

•They are the resources provided by nature in predetermined quantity and quality beyond human control and must be utilized when provided otherwise wasted
•The virtually in exhaustible resources are flow resources in duration but limited in energy available per unit of time
•The relationship between flow resource and its use can be expressed as:
Ft=Rt+Wt
Where, Ft= Total flow resource at time t
Rt= Flow Resource utilized at time t
Wt= Flow resource wasted at time t
Where Ft greater than or equals to Rt
And Wt may be greater than or equal to 0
Fund Resource

•The storage of flow resources makes it fund resource eg. Sunlight is flow resource however solar is fund resource
•The storage and utilization of fund resource can be manipulated  by people
•The relationship between fund resource and its extraction can be expressed as:
      t-1
St=∑ (Ft-Rt - Wt) , Ft >Rt
      t=1
Ft= Total flow resource at time t
Rt= Flow Resource utilized at time t
Wt= Flow resource wasted at time t
This period’s use cannot exceed the cumulative storage from previous periods thus period’s flow.
Biological Resources:
•The resources which uses solar energy, hydrological energy and the fund of soil nutrients fall under category of biological resources
•E.g. of biological resources are crops, forests, animals, human
•Fragile equilibria may be established independently or also due to human impact
•They are categorized as non renewable and renewable(renewable may not be self regenerating i.e. may need human help to regenerate)
•At any given time stock of biological resource (i.e. biomass) is determined by:
           t-1
St=So-∑ (Rt - Ht)
          t=1
Where, Ht= Net recruitment
St= Stock of biological resource at time t
Rt= harvest of resource
So=Original stock before harvest
• Here Net recruitment (Ht) is the excess of additions from reproduction and growth over loses from mortality and the like occurring independently of harvest (Rt).
• Ht can be negative in bad times and other times it can exceed harvest (Rt) for a net increase in biomass.
Ht is determined by:
•Ht=h(St, Nt, Xt)
•Where, N= Input provided by the nature at time t
•X= Input provided by the people at time t

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