Investigating the probabilistic behavior of reference evapotranspiration using Vine tree sequence
Abstract Reference evapotranspiration, which includes the contribution of climatic conditions in potential evapotranspiration, is considered as an important and strategic criterion in water resources management and irrigation designs. Therefore, it is necessary to determine and predict its changes i...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2025-04-01
|
| Series: | Applied Water Science |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/s13201-025-02429-x |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849730976959168512 |
|---|---|
| author | Aliheidar Nasrolahi Mohammad Nazeri Tahroudi Yaser Sabzevari |
| author_facet | Aliheidar Nasrolahi Mohammad Nazeri Tahroudi Yaser Sabzevari |
| author_sort | Aliheidar Nasrolahi |
| collection | DOAJ |
| description | Abstract Reference evapotranspiration, which includes the contribution of climatic conditions in potential evapotranspiration, is considered as an important and strategic criterion in water resources management and irrigation designs. Therefore, it is necessary to determine and predict its changes in each region. In this study, using copula functions, the behavior and changes of this component were investigated in the west of Iran. For this purpose, the meteorological information of nine synoptic stations including Tmax, Tmin, WS, Rs, RHmax, and RHmin were used. This research aims to explore multivariate simulation based on vine tree sequences. Among these parameters, wind speed had the least effect on ET0, and in all the studied stations, there was the highest correlation between ET0-Tmax pair variable, which was equal to 0.90, 0.87, 0.89, 0.88, 0.86, 0.85, 0.88, and 0.81 in Aligudarz, Azna, Borujerd, Dorud, Khorramabad, Kuhdasht, Nurabad, and Poldakhter stations, respectively, based on Kendall's Tau statistics. The tree sequence of vine copulas including C-, D-, and R-vine was examined according to the input variables based on AIC and logarithm of likelihood evaluation criteria. According to the results, it was found that based on the evaluation criteria, the D-vine tree sequence has the best performance in the joint probability analysis of the studied variables. In addition, the results showed that the D-vine tree sequence, unlike the two R and C type sequences, has maintained the correlation between the studied pair variables until the last tree. The results of this study showed that copula functions could analyze evapotranspiration in different climates with high capability, which can be used in predicting the behavior of non-linear variables. |
| format | Article |
| id | doaj-art-538901ec495e4d60a92cf72d259628a0 |
| institution | DOAJ |
| issn | 2190-5487 2190-5495 |
| language | English |
| publishDate | 2025-04-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Applied Water Science |
| spelling | doaj-art-538901ec495e4d60a92cf72d259628a02025-08-20T03:08:43ZengSpringerOpenApplied Water Science2190-54872190-54952025-04-0115511510.1007/s13201-025-02429-xInvestigating the probabilistic behavior of reference evapotranspiration using Vine tree sequenceAliheidar Nasrolahi0Mohammad Nazeri Tahroudi1Yaser Sabzevari2Department of Water Engineering, Lorestan UniversityDepartment of Water Engineering, Lorestan UniversityDepartment of Water Science and Engineering, College of Agricultural Engineering, Isfahan University of TechnologyAbstract Reference evapotranspiration, which includes the contribution of climatic conditions in potential evapotranspiration, is considered as an important and strategic criterion in water resources management and irrigation designs. Therefore, it is necessary to determine and predict its changes in each region. In this study, using copula functions, the behavior and changes of this component were investigated in the west of Iran. For this purpose, the meteorological information of nine synoptic stations including Tmax, Tmin, WS, Rs, RHmax, and RHmin were used. This research aims to explore multivariate simulation based on vine tree sequences. Among these parameters, wind speed had the least effect on ET0, and in all the studied stations, there was the highest correlation between ET0-Tmax pair variable, which was equal to 0.90, 0.87, 0.89, 0.88, 0.86, 0.85, 0.88, and 0.81 in Aligudarz, Azna, Borujerd, Dorud, Khorramabad, Kuhdasht, Nurabad, and Poldakhter stations, respectively, based on Kendall's Tau statistics. The tree sequence of vine copulas including C-, D-, and R-vine was examined according to the input variables based on AIC and logarithm of likelihood evaluation criteria. According to the results, it was found that based on the evaluation criteria, the D-vine tree sequence has the best performance in the joint probability analysis of the studied variables. In addition, the results showed that the D-vine tree sequence, unlike the two R and C type sequences, has maintained the correlation between the studied pair variables until the last tree. The results of this study showed that copula functions could analyze evapotranspiration in different climates with high capability, which can be used in predicting the behavior of non-linear variables.https://doi.org/10.1007/s13201-025-02429-xConditional densityCopula functionsJoint simulationRotational jointTree sequence |
| spellingShingle | Aliheidar Nasrolahi Mohammad Nazeri Tahroudi Yaser Sabzevari Investigating the probabilistic behavior of reference evapotranspiration using Vine tree sequence Applied Water Science Conditional density Copula functions Joint simulation Rotational joint Tree sequence |
| title | Investigating the probabilistic behavior of reference evapotranspiration using Vine tree sequence |
| title_full | Investigating the probabilistic behavior of reference evapotranspiration using Vine tree sequence |
| title_fullStr | Investigating the probabilistic behavior of reference evapotranspiration using Vine tree sequence |
| title_full_unstemmed | Investigating the probabilistic behavior of reference evapotranspiration using Vine tree sequence |
| title_short | Investigating the probabilistic behavior of reference evapotranspiration using Vine tree sequence |
| title_sort | investigating the probabilistic behavior of reference evapotranspiration using vine tree sequence |
| topic | Conditional density Copula functions Joint simulation Rotational joint Tree sequence |
| url | https://doi.org/10.1007/s13201-025-02429-x |
| work_keys_str_mv | AT aliheidarnasrolahi investigatingtheprobabilisticbehaviorofreferenceevapotranspirationusingvinetreesequence AT mohammadnazeritahroudi investigatingtheprobabilisticbehaviorofreferenceevapotranspirationusingvinetreesequence AT yasersabzevari investigatingtheprobabilisticbehaviorofreferenceevapotranspirationusingvinetreesequence |