Self-Perpetuation of a Stochastically Varying Resource Pool

Abstract

A computer-readable medium has encoded thereon software for maintaining a steady-state worth of an inhomogenous renewable resource pool. The software includes instructions for causing a data-processing system to evaluate an indicator of a historical worth of the resource pool, to determine a draw amount at least in part on the basis of this indicator, and to output data representative of that draw amount.

1 . A computer-readable medium having encoded thereon software for maintaining a steady-state worth of an inhomogenous renewable resource pool, the software including instructions for causing a data-processing system to:
 evaluate an indicator of a historical worth of the resource pool;   at least in part on the basis of the indicator, determine a draw amount; and   output data representative of the draw amount.   
     
     
         2 . The computer-readable medium of  claim 1 , wherein the instructions for causing a data processing system to evaluate an indicator comprise instructions for causing a data processing system to retrieve time series data indicative of historical worth of the resource pool. 
     
     
         3 . The computer-readable medium of  claim 2 , wherein the instructions for causing a data processing system to evaluate an indicator comprise instructions for causing a data processing system to low-pass filter the time series data. 
     
     
         4 . The computer-readable medium of  claim 2 , wherein the instructions for causing a data processing system to evaluate an indicator comprise  instructions for causing a data processing system to determine an average value of the time series data. 
     
     
         5 . The computer-readable medium of  claim 1 , wherein the instructions for causing a data processing system to evaluate an indicator comprise instructions for causing a data processing system to retrieve synthetic time series data indicative of what a historical worth of the renewal resource pool would have been. 
     
     
         6 . The computer-readable medium of  claim 1 , wherein the instructions for causing a data processing system to determine a draw amount comprise instructions for causing a data processing system to determine a pre-determined fraction of the historical worth. 
     
     
         7 . The computer-readable medium of  claim 1 , wherein the software further comprises instructions for causing a data processing system to adjust the draw amount on the basis of an external constraint on the draw amount. 
     
     
         8 . The computer-readable medium of  claim 1 , wherein the software further comprises instructions for retrieving data indicative of historical worth of an endowment fund, and wherein the instructions for causing a data processing system to evaluate an indicator of historical worth comprise instructions for causing a data processing system to retrieve a plurality of selected values indicative of a corresponding plurality of worths of the endowment fund at each of a plurality of times. 
     
     
         9 . A method for maintaining a steady-state worth of an inhomogenous renewable resource pool, the method comprising:
 evaluating an indicator of a historical worth of the resource pool,   at least in part on the basis of the indicator, determining a draw amount; and   outputting data representative of the draw amount.   
     
     
         10 . The method of  claim 9 , wherein evaluating an indicator comprises retrieving time series data indicative of historical worth. 
     
     
         11 . The method of  claim 10 , wherein evaluating an indicator comprises low-pass filtering the time series data. 
     
     
         12 . The method of  claim 11 , wherein evaluating an indicator comprises determining an average value of the time series data. 
     
     
         13 . The method of  claim 9 , wherein evaluating an indicator comprises retrieving synthetic time series data indicative of what a historical worth of the renewal resource pool would have been. 
     
     
         14 . The method of  claim 9 , wherein determining a draw amount comprises determining a pre-determined fraction of the historical worth. 
     
     
         15 . The method of  claim 9 , further comprising adjusting the draw amount on the basis of an external constraint on the draw amount. 
     
     
         16 . The method of  claim 9 , further comprising retrieving data indicative of historical worth of an endowment fund, and wherein evaluating an indicator of historical worth comprises retrieving a plurality of selected values indicative of a corresponding plurality of worths of the endowment fund at each of a plurality of times.