An application of stochastic compartmental theory to modeling plant growth and crop yield /

Bibliographic Details
Main Author:	Saito, Tokuji, 1948-
Other Authors:	Hartfiel, D. J. (degree committee member.), Jenkins, O. C. (degree committee member.), Smith, W. B. (degree committee member.)
Format:	Thesis Book
Language:	English
Published:	1985.
Subjects:	Compartmental analysis (Biology) > Scientific applications. Crop yields > Forecasting > Mathematical models. Growth (Plants) > Mathematical models. Major statistics. Academic theses
Online Access:	Link to ProQuest copy Link to OAKTrust copy ProQuest, Abstract

Description
Abstract:	The cumulant generating functions are derived for the n-compartment irreversible catenary systems for constant transfer rates and for time-dependent transfer rates. Furthermore higher order residence time moments or survival time moments E[T^j] , for j = 1 ,2 ,3 ,..., are derived for time-dependent staging processes and for semi-Markov age-dependent irreversible catenary systems. Also the cumulant generating functions for five-compartment parallel irreversible systems for constant transfer rates and for time-dependent or generalized staging processes are derived. In addition, solutions of the probability transfer matrix P(t) using a semi-Markov approach for this system are derived. Finally, the result of transfer probabilities p11,ℓk(t), i.e. the transfer probabilities that a unit starting at compartment 1 of stage 1 at time t=0 is in compartment k of stage A are applied, using constant transfer rates and time-dependent transfer rates, to model corn plant growth and crop yield forecast. A model with shifted power-of-time rate functions seems adequate to describe the data.
Item Description:	"Major subject: Statistics." Typescrip (photocopy). Vita.
Physical Description:	ix, 89 leaves : illustrations ; 29 cm
Bibliography:	Includes bibliographical references (leaves 79-81).