Skip to main content
Top
Published in: Environmental Earth Sciences 12/2020

01-06-2020 | Original Article

Appraisal of spatial and temporal behavior in monsoon precipitation series of Punjab-Pakistan using hierarchical Bayesian Models

Authors: Sohail Chand, Maqsood Ahmad

Published in: Environmental Earth Sciences | Issue 12/2020

Log in

Activate our intelligent search to find suitable subject content or patents.

search-config
loading …

Abstract

Precipitation shows that structured variation across space and time and the pattern of this variation is changing round the world due to global warming. These changes affect the water resources and hydrological cycle. A spatio-temporal dataset of precipitation records together with data on temperature, wind speed and humidity is used to analyze changes in spatiotemporal pattern of precipitation across 17 major meteorological stations of Punjab-Pakistan for monsoon period during 2004–2012. A distinguishable trend in precipitation structure along spatial and temporal domains is noticed. We consider a model-based bayesian spatio-temporal analysis using dynamic linear model and gaussian process model. The meteorological variables (covariates) temperature, wind speed and humidity show varying effect on the precipitation at different locations and time points. Additionally, we construct the spatial and temporal boxplots of all meteorological stations and time points to observe the distribution of precipitation and covariates at micro level. Further to this, the interval plots also reveal the spatially varying and temporally dynamic pattern of covariates. The prediction results through predictive contour plots show high and low precipitation zones in the study area and are helpful for policy makers to identify the homogeneous climate.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Literature
go back to reference Ailliot P, Thompson C, Thomson P (2009) Space–time modelling of precipitation by using a hidden Markov model and censored Gaussian distributions. J. R. Sta. Soc Ser C Appl Stat. 58:405–426CrossRef Ailliot P, Thompson C, Thomson P (2009) Space–time modelling of precipitation by using a hidden Markov model and censored Gaussian distributions. J. R. Sta. Soc Ser C Appl Stat. 58:405–426CrossRef
go back to reference Bakar KS (2011) Bayesian Analysis of Daily Maximum Ozone Levels. School of Mathematics, Faculty of Social and Human Sciences, University of Southampton Bakar KS (2011) Bayesian Analysis of Daily Maximum Ozone Levels. School of Mathematics, Faculty of Social and Human Sciences, University of Southampton
go back to reference Bakar KS, Kokic P (2017) Bayesian Gaussian models for point referenced spatial and spatio-temporal data. J Stat Res. 51:17–40 Bakar KS, Kokic P (2017) Bayesian Gaussian models for point referenced spatial and spatio-temporal data. J Stat Res. 51:17–40
go back to reference Collados-Lara A, Pardo-Igúzquiza E, Pulido-Velazquez D, Jiménez-Sánchez J (2018) Precipitation fields in an alpine Mediterranean catchment: inversion of precipitation gradient with elevation or undercatch of snowfall? Int J Climatol 38:3565–3578CrossRef Collados-Lara A, Pardo-Igúzquiza E, Pulido-Velazquez D, Jiménez-Sánchez J (2018) Precipitation fields in an alpine Mediterranean catchment: inversion of precipitation gradient with elevation or undercatch of snowfall? Int J Climatol 38:3565–3578CrossRef
go back to reference Cressie N, Wikle CK (2015) Statistics for spatio-temporal data. Wiley Series in Probability and Statistics, Washington Cressie N, Wikle CK (2015) Statistics for spatio-temporal data. Wiley Series in Probability and Statistics, Washington
go back to reference Diggle P, Ribeiro PJ (2007) Model-based geostatistics. Springer Series in Statistics, SwitzerlandCrossRef Diggle P, Ribeiro PJ (2007) Model-based geostatistics. Springer Series in Statistics, SwitzerlandCrossRef
go back to reference Dou Y, Le ND, Zidek JV (2007) A dynamic linear model for hourly ozone concentrations, Technical Report. Univ. Br. Columbia 228 Dou Y, Le ND, Zidek JV (2007) A dynamic linear model for hourly ozone concentrations, Technical Report. Univ. Br. Columbia 228
go back to reference Dou Y, Le ND, Zidek JV (2010) Modeling hourly ozone concentration fields. Ann Appl Stat 4:1183–1213CrossRef Dou Y, Le ND, Zidek JV (2010) Modeling hourly ozone concentration fields. Ann Appl Stat 4:1183–1213CrossRef
go back to reference Finley AO, Banerjee S, Gelfand AE (2012) Bayesian dynamic modeling for large space-time datasets using Gaussian predictive processes. J Geogr Syst 14:29–47CrossRef Finley AO, Banerjee S, Gelfand AE (2012) Bayesian dynamic modeling for large space-time datasets using Gaussian predictive processes. J Geogr Syst 14:29–47CrossRef
go back to reference Finley AO, Banerjee S, Gelfand AE (2015) spBayes for large univariate and multivariate point referenced spatio-temporal data models. J Stat Soft 63:1–28CrossRef Finley AO, Banerjee S, Gelfand AE (2015) spBayes for large univariate and multivariate point referenced spatio-temporal data models. J Stat Soft 63:1–28CrossRef
go back to reference Goovaerts P (2000) Geostatistical approaches for incorporating elevation into the spatial interpolation of rainfall. J Hydrol 228:113–129CrossRef Goovaerts P (2000) Geostatistical approaches for incorporating elevation into the spatial interpolation of rainfall. J Hydrol 228:113–129CrossRef
go back to reference Harrison J, West M (1997) Bayesian forecasting & dynamic models. Springer, New York Harrison J, West M (1997) Bayesian forecasting & dynamic models. Springer, New York
go back to reference Huerta G, Sansó B, Stroud JR (2004) A spatiotemporal model for Mexico City ozone levels. J R Stat Soc Ser C Appl Stat 53:231–248CrossRef Huerta G, Sansó B, Stroud JR (2004) A spatiotemporal model for Mexico City ozone levels. J R Stat Soc Ser C Appl Stat 53:231–248CrossRef
go back to reference Kalman RE (1960) A new approach to linear filtering and prediction problems. J Basic Eng Trans Am Soc Mech Eng 1:35–45 Kalman RE (1960) A new approach to linear filtering and prediction problems. J Basic Eng Trans Am Soc Mech Eng 1:35–45
go back to reference Krige GD (1951) A statistical approach to some basic mine valuation problems on the Witwatersrand. J Chem Metall Min Soc 52:119–139 Krige GD (1951) A statistical approach to some basic mine valuation problems on the Witwatersrand. J Chem Metall Min Soc 52:119–139
go back to reference Le ND, Zidek JV (1992) Interpolation with uncertain spatial covariances: a Bayesian alternative to kriging. J Multivar Anal 43:351–374CrossRef Le ND, Zidek JV (1992) Interpolation with uncertain spatial covariances: a Bayesian alternative to kriging. J Multivar Anal 43:351–374CrossRef
go back to reference Le ND, Zidek JV (2006) Statistical analysis of environmental space-time processes. Springer Series in Statistics, Switzerland Le ND, Zidek JV (2006) Statistical analysis of environmental space-time processes. Springer Series in Statistics, Switzerland
go back to reference Omre H, Halvorsen KB (1989) The Bayesian bridge between simple and universal kriging. Math Geol 21:767–786CrossRef Omre H, Halvorsen KB (1989) The Bayesian bridge between simple and universal kriging. Math Geol 21:767–786CrossRef
go back to reference Pardo-Igúzquiza E (1998) Comparison of geostatistical methods for estimating the areal average climatological rainfall mean using data on precipitation and topography. Int J Climatol 18:1031–1047CrossRef Pardo-Igúzquiza E (1998) Comparison of geostatistical methods for estimating the areal average climatological rainfall mean using data on precipitation and topography. Int J Climatol 18:1031–1047CrossRef
go back to reference Petris G (2010) An R package for dynamic linear models. J Stat Softw 36:1–16CrossRef Petris G (2010) An R package for dynamic linear models. J Stat Softw 36:1–16CrossRef
go back to reference Petris G, Petrone S, Campagnoli P (2009) Dynamic linear models with R. Springer, New YorkCrossRef Petris G, Petrone S, Campagnoli P (2009) Dynamic linear models with R. Springer, New YorkCrossRef
go back to reference Sahu SK, Bakar KS (2012) A comparison of Bayesian models for daily ozone concentration levels. Stat Methodol 9:144–157CrossRef Sahu SK, Bakar KS (2012) A comparison of Bayesian models for daily ozone concentration levels. Stat Methodol 9:144–157CrossRef
go back to reference Sigrist F, Künsch HR, Stahel WA (2012) A dynamic nonstationary spatio-temporal model for short term prediction of precipitation. Ann Appl Stat 6:1452–1477CrossRef Sigrist F, Künsch HR, Stahel WA (2012) A dynamic nonstationary spatio-temporal model for short term prediction of precipitation. Ann Appl Stat 6:1452–1477CrossRef
go back to reference Stroud JR, Muller P, Sanso B (2001) Dynamic models for spatiotemporal data. J R Stat Soc Ser B Stat Methodol 63:673–689CrossRef Stroud JR, Muller P, Sanso B (2001) Dynamic models for spatiotemporal data. J R Stat Soc Ser B Stat Methodol 63:673–689CrossRef
go back to reference Subyani AM (2004) Geostatistical study of annual and seasonal mean rainfall patterns in southwest Saudi Arabia. Hydrol Sci J 49:803–817CrossRef Subyani AM (2004) Geostatistical study of annual and seasonal mean rainfall patterns in southwest Saudi Arabia. Hydrol Sci J 49:803–817CrossRef
Metadata
Title
Appraisal of spatial and temporal behavior in monsoon precipitation series of Punjab-Pakistan using hierarchical Bayesian Models
Authors
Sohail Chand
Maqsood Ahmad
Publication date
01-06-2020
Publisher
Springer Berlin Heidelberg
Published in
Environmental Earth Sciences / Issue 12/2020
Print ISSN: 1866-6280
Electronic ISSN: 1866-6299
DOI
https://doi.org/10.1007/s12665-020-09049-5

Other articles of this Issue 12/2020

Environmental Earth Sciences 12/2020 Go to the issue