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Department of Mathematics and Applied Mathematics

A stochastic model for daily climate

Abstract

dc:description.abstract

This thesis describes the results of a study to establish whether climate variables could be usefully modelled on a daily basis. Three stochastic models are considered for the description of daily climate sequences, which can then be used to generate artificial sequences. The climate variables under consideration are rainfall, maximum and minimum temperature, evaporation, sunshine duration, windrun and maximum and minimum humidity. A simple Markov chain-Weibull model is proposed to model rainfall. Three multivariate models (one proposed by Richardson (1981), two new) are suggested for modelling the remaining climate variables. The model parameters are allowed to vary seasonally, while the error term is assumed to follow an autoregressive process. The models were validated and their general performance·was found to be satisfactory. Some weaknesses were identified and are discussed. The. main conclusion of this study is that daily climate sequences can indeed be usefully described by means of stochastic models.

Degree

thesis:*
Grantor dc:publisher.institution
Department of Mathematics and Applied Mathematics
Year dc:date.issued
1986

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Brandão, Anabela de Gusmão
Advisor dc:contributor.advisor
  • Zucchini, Walter

Rights

Language dc:language.iso
eng

Identifiers

dc:identifier.*
Handle dc:identifier.uri
http://hdl.handle.net/11427/16348
OAI identifier oai:identifier
oai:open.uct.ac.za:11427/16348

Chain of custody

source
Harvested from
University of Cape Town
Base URL
open.uct.ac.za/oai/request
Last updated
2026-07-22
Source record
OAI-PMH GetRecord
related terms
citation

Brandão, Anabela de Gusmão. A stochastic model for daily climate. Department of Mathematics and Applied Mathematics, 1986. http://hdl.handle.net/11427/16348