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Article

Assessing the Changes in Precipitation Patterns and Aridity in the Danube Delta (Romania)

by
Alina Bărbulescu
1 and
Cristian Ștefan Dumitriu
2,*
1
Department of Civil Engineering, Transilvania University of Brașov, 5 Turnului Str., 500152 Brașov, Romania
2
Faculty of Mechanical Equipment for Constructions and Robotics, Technical University of Civil Engineering, 59 Calea Plevnei, 021242 Bucharest, Romania
*
Author to whom correspondence should be addressed.
J. Mar. Sci. Eng. 2025, 13(8), 1529; https://doi.org/10.3390/jmse13081529
Submission received: 12 June 2025 / Revised: 23 July 2025 / Accepted: 7 August 2025 / Published: 9 August 2025

Abstract

Understanding long-term precipitation variability is essential for assessing the climate’s impact on sensitive ecosystems, particularly in regions of high environmental value, such as the Danube Delta Biosphere Reserve (DDBR). This study examines the temporal dynamics of monthly precipitation in the Danube Delta, Romania, spanning the period from 1965 to 2019. Three approaches were used to analyze climatic variability: Change Point detection (CPD) to identify shifts in precipitation regimes, the De Martonne Index (IM) to assess aridity trends, and the Standardized Precipitation Index (SPI) to evaluate drought conditions across annual and monthly scales. Using robust monthly precipitation and temperature datasets from the Sulina meteorological station, CPD analysis revealed statistically significant structural breaks in precipitation trends, suggesting periods of altered climate behavior likely associated with broader regional or global climate changes. IM values indicated mostly hyper-aridity and aridity at monthly and annual scales, respectively. No monotonic trend was found in this index during the analyzed segments, as emphasized by the Mann–Kendall (MK) test. SPI values provided further evidence of variability in the precipitation regime, highlighting a transition toward more extreme hydrological conditions in the region. The combined use of these indices offers a comprehensive view of the evolution of climatic conditions in the Danube Delta. The findings underscore the growing vulnerability of this unique wetland ecosystem to climatic variability, supporting the need for adaptive water management strategies in the face of anticipated future changes.

1. Introduction

Climate change has become a major environmental concern in recent decades, with significant consequences for water resources. Understanding these modifications, the mechanism, and coverage is essential for the sustainable management of water systems, safeguarding public access to water, and reducing the negative influence of human activities on water quality.
Precipitation is a fundamental component of water cycles in nature, governing water availability, supporting ecosystems, and sustaining human livelihoods [1]. In recent decades, both observational data and climate model projections have indicated that rainfall intensity, frequency, and distribution have undergone significant changes under the influence of ongoing climate modifications [2]. As temperatures rise at the planetary level, atmospheric movement and humidity are being altered, disrupting the known precipitation patterns [3]. A notable consequence of atmospheric temperature augmentation is the enhanced availability of humidity retention (approximately 7% per 1 °C), which leads to an increase in the intensity of extreme events [4]. At the same time, shifts in large-scale atmospheric circulation patterns are modifying the geographic distribution, type, and seasonality of precipitation [5]. Consequently, certain areas are experiencing the amplification and intensification of flood events, while others are undergoing reduced precipitation and prolonged dry spells. These shifts have far-reaching implications for freshwater resources, the resilience of ecosystems, agricultural sustainability, and disaster preparedness [6,7,8,9]. Climate projections suggest that these trends will persist if significant measures to reduce greenhouse gas emissions (the primary driver of these changes) are not implemented [10,11,12].
Over the past six decades, the South East Europe (SEE) region, comprising countries such as Albania, Bulgaria, Greece, Romania, Serbia, North Macedonia, and parts of Turkey, has undergone significant climatic transformations influenced by both global and regional factors. Situated at the confluence of the Mediterranean, continental, and mountainous climatic zones, this region is particularly vulnerable to climate change. The period following 1960 has notably marked the commencement of an accelerated warming trend, with discernible implications for natural ecosystems, socio-economic sectors, and regional climate systems. Recorded data and regional climate assessments reveal a considerable increase in mean annual temperatures across SEE, with most sub-regions experiencing a warming rate exceeding 1.0 °C since 1960 [13,14,15]. This warming trend has intensified since the 1980s, particularly during the summer months, resulting in more frequent and prolonged heatwaves, reduced soil moisture, and increased thermal stress in both urban and rural contexts [16,17,18]. Concurrently, precipitation patterns have exhibited significant spatial and seasonal variations. Southern and coastal sub-regions, including parts of Greece and Albania, are characterized by declining summer precipitation and an increase in the frequency of drought occurrences.
By contrast, certain northern and mountainous areas have experienced modest increases in winter precipitation, often accompanied by a decrease in snowfall and an earlier onset of snowmelt. These developments are affecting the hydrological regimes of major river systems, such as the Danube, Vardar, and Maritsa, thereby exerting downstream impacts on agriculture, energy production, and ecosystem services. The escalation of extreme weather events, including flash floods, convective storms, and wildfires, further highlights the region’s growing vulnerability to climate change. Factors such as urbanization, land use modifications, and inadequate adaptive infrastructure exacerbate these risks, particularly in densely populated and economically vulnerable areas [19,20,21,22].
Looking ahead, regional climate projections indicate that SEE is expected to continue warming at a rate that surpasses the global average under high-emission scenarios, with an anticipated mean temperature increase of 2–4 °C by mid-century. Additionally, precipitation extremes, seasonal water shortages, and shifts in biodiversity are projected to intensify unless substantial efforts are undertaken to mitigate and adapt to climate impacts. Within this framework, understanding the evolution of climate trends in the SEE region since 1960 is crucial for informing national policies, promoting regional collaboration, and developing sustainable planning initiatives [13,23].
Agriculture in SEE is particularly vulnerable to climatic variability due to its reliance on rain-fed systems, fragmented landholdings, and limited adaptive capacity among smallholder farmers. The sector not only plays a vital economic role in many countries of the region but also maintains socio-cultural and environmental functions that are integral to rural communities. Crop yields, planting seasons, and pest and disease dynamics are already exhibiting signs of disruption due to climate-related stressors. Without targeted adaptation strategies and region-specific policy responses, climate change may exacerbate existing structural vulnerabilities, contributing to rural depopulation and socioeconomic inequality [24,25,26,27].
Knowledge on the timing and nature of shifts in climatic patterns is crucial for assessing climate impacts and informing adaptation strategies, particularly in vulnerable regions like South East Europe. One of the primary challenges in understanding these evolving patterns lies in detecting the moment when structural changes appear in the climatic time series. CPD techniques offer a powerful statistical framework for identifying structural changes in climate-related time series. CPD helps to detect shifts in the average, variance, or distribution of precipitation data, which may signify alterations in climate regimes due to external forcing [28,29,30,31]. This is particularly relevant for agriculture, where changes in rainfall timing and intensity directly affect sowing dates, crop yields, irrigation requirements, and drought risk [32]. To contextualize these changes and assess their broader implications, the use of climatic and drought indices such as the De Martonne Aridity Index and the Standardized Precipitation Index (SPI) is essential.
Various approaches to CPD are known, with applications in time series analysis, signal processing, and network traffic control [33,34,35,36], medicine [37,38,39], hydrometeorology [40,41,42,43], and economics and finance [44,45]. A review of various techniques for CPD is presented in [46].
Aridity reflects a moisture deficit caused by low effective rainfall and high evaporation, influenced largely by temperature. Aridity indices quantify this dryness, helping to classify climates based on water availability. I M is one of the most widely used indices due to its simplicity and effectiveness, combining precipitation and temperature into a single metric. These characteristics make it valuable for understanding spatial and temporal shifts in aridity and agricultural suitability zones [47]. It has been applied to address drought risk in studies from all over the world [48,49,50,51,52,53]. Given the warming trends across the SEE region and the sensitivity of flora, fauna, and crops to water availability, tracking shifts in this index can help to identify regions undergoing significant hydroclimatic stress. In this study, it is applied to assess long-term aridity trends during 1965–2019 in the Danube Delta, where increasing aridity can have serious ecological consequences.
Another key tool for evaluating the impact of these shifts on drought risk is SPI, a statistically robust drought indicator that uses historical precipitation data to quantify deviations from normal conditions. Its strength lies in its simplicity and its capacity to reflect both short-term meteorological droughts and long-term hydrological imbalances. Widely recognized for its ability to quantify meteorological drought across different timescales, it is particularly useful in assessing short-term and long-term drought patterns and their evolution under changing climatic conditions. These properties make it a critical tool for understanding how droughts affect planting, growing, and harvest seasons, key information for developing responsive agricultural management practices [54,55,56,57].
The Danube Delta, a UNESCO-protected wetland and a critical biodiversity hotspot, is highly sensitive to climate variability. Therefore, detecting modifications in climatic variables is essential, as even small shifts can produce ecosystem imbalances, affect freshwater habitats, and contribute to the degradation or loss of species. Moreover, no extended studies addressed the modifications in aridity in this area for a period covering more than five decades.
This study applies I M , SPI, and CUSUM to a long-term monthly precipitation time series (1965–2019) from the Sulina hydrometeorological station in the DDBR, Romania. Whereas CPD is generally used for time series, we apply it to I M and SPI series to better assess the modifications in climate evolution. To our knowledge, this is the first time such an approach has been proposed.
Whereas most studies about Dobrogea (the region to which the Danube Delta belongs) address only the temperature and/or precipitation variations in some zones or the drought intensity, the integration of I M , SPI, and CPD allows for a more nuanced understanding of climate variation, particularly in complex regions where microclimates and topography can strongly modulate climatic signals.
By evaluating the temporal evolution of drought utilizing I M and SPI and identifying potential structural changes in these indices, this research provides insights into local climate dynamics and supports regional adaptation planning. The methodology proposed here offers a scalable approach for monitoring climate impacts and can be applied regardless of the study zone. CUSUM analysis applied not only to the precipitation series but also to IM and SPI provides complementary perspectives on climate variability and possible impacts on the ecosystem of the Danube Delta. By identifying historical shifts and current trends, these tools support targeted adaptation measures, including water management and regional planning.

2. Methodology and Data Series

2.1. Methodology

Most articles addressing climate evolution in the study area analyzed either the existence of a linear long-term trend in the data series or aridity using an aridity index. However, none of them combined these aspects with CPD, nor did they assess climatic variability by applying CPD to aridity indices. Therefore, we combined all of these approaches in our research, which are the following.
  • Basic statistical analysis
This stage involved computing the basic statistics, testing the normality hypothesis using the Shapiro–Wilk test [58], and detecting aberrant values using the interquartile range method (IQRM) [59]. According to IQRM, all values outside the interval Q 1 1.5 I Q R ,   Q 3 + 1.5 I Q R   are considered outliers. Q 1 ,   Q 3 , and I Q R = Q 3 Q 1 are the first and third quantiles and the interquartile range, respectively. In this study, we extended the interval, replacing 1.5 in the formula above with 3 (to be more conservative, a larger factor like 3 results in fewer data points being classified as outliers compared to using 1.5).
II.
Perform CPD using the CUSUM change point algorithm
The results are compared with those of classical algorithms—Pettitt [60], Buishand [61], and Lee & Heghinian [62]—which detect only the dominant change point (CP), and the segmentation method of Hubert [63] for determining multiple CPs.
For an input series Y i i = 1 , n ¯ , the CUSUM procedure involves the following steps: computing the series mean, calculating the cumulative sums, identifying the amplitude of the CUSUM series, bootstrapping the original series, and comparing the amplitude of the original series with that of the bootstrapped series. If the amplitude of the original series is lower than that of the bootstrapped one, the confidence level (CL) of the change occurrence is determined by their ratio [64], as follows:
C L ( % ) = N 1 / N × 100
where N and N 1 are the number of bootstrap samples and those that satisfy the condition, respectively. CL > 90% indicates a high probability of CP occurrence.
If the series has a high number of outliers, it could be appropriate to use the non-parametric CUSUM, even if the parametric procedure is robust to aberrant values. In this procedure, Y ¯ is replaced by the median, Me, and the sums are computed using the signs 1, −1, or 0 depending on whether the recorded value is greater, smaller, or equal to Me, respectively.
III.
Compute IM and determine the CPs in the (IM) series
I M is a simple climatic indicator for assessing aridity, especially in relation to water availability and drought risk. It is particularly useful for semi-arid regions like Dobrogea and the Danube Delta, where understanding the balance between precipitation and temperature is essential for water resources and land management. It is calculated by [37]:
IM = P/(T + 10)
where P and T are the precipitation [mm] and the average temperature [°C], respectively.
In the case of the annual index, the total precipitation and annual mean temperature are used, whereas for the monthly index, the monthly precipitation and mean monthly temperature are employed.
The region is classified as hyper-arid, arid, semi-arid, moderately arid, slightly arid, or moderately humid, respectively, if 0 I M   < 5 ,   5 I M   < 15 ,   15 I M   < 24 ,   24 I M   < 30 ,   30 I M   < 35 , or 35 I M   < 40 , respectively.
This index was chosen because it uses only precipitation and temperature data, applies at multiple scales, adjusts for cold climates, tracks seasonal and long-term aridity changes, and supports comparisons and water management [65,66].
After computing the I M series at the monthly and annual range, we applied CUSUM to determine the existence of CPs. The existence of a monotonic trend on the detected segments was assessed using the Mann–Kendall test [67].
IV.
Compute SPI
The stages of SPI computation are [68]:
  • Compute the mean, standard deviation, and skewness of the precipitation series.
  • Take the logarithm of the precipitation series, and fit a gamma distribution. The validation of this distribution was performed using the Anderson–Darling and Kolmogorov–Smirnov goodness-of-fit tests. Since the p-value was greater than 0.05 (the significance level) in both cases, the null hypothesis that the series follows a gamma distribution cannot be rejected [69].
  • Build the Cumulative Distribution Function (CDF), G.
  • Adjust the CDF to accommodate the argument null values, using the following formula:
    H(x) = q + (1 − q)G(x)
    where q is the probability that there are zeros in the data series.
  • Transform H into a Gaussian standard distribution. The computed values represent SPI values.
The drought categories according to SPI are: extreme drought for −2.0 or below; severe drought for SPI from −1.5 to −1.99, moderate drought for values between −1.0 and −1.49, values between −0.99 and 0.99 indicate near-normal conditions, while positive values correspond to wet conditions ranging from moderately wet (1.0 to 1.49) to extremely wet (2.0 and above) [57].
CPD was also performed to determine if there were changes in the SPI pattern.

2.2. The Study Region and Data Series

The Danube Delta is part of Dobrogea, a region situated in Romania between the Danube River and the Black Sea. Geographically, the area lies approximately between 44°00′ N and 45°30′ N latitude and 28°00′ E and 29°45′ E longitude. The region is characterized by a diverse topography, ranging from the ancient Măcin Mountains (reaching elevations of ~467 m) in northern Dobrogea to the flat, low-lying landscapes of the Danube Delta, most of which lie just above sea level. Dobrogea (Figure 1) experiences a continental-temperate climate with semi-arid characteristics, particularly in the southern and central parts.
The mean annual precipitation ranges between 350 mm and 450 mm, with most rainfall occurring during late spring and early summer. The region is prone to frequent droughts and marked interannual variability in precipitation, which significantly affects soil moisture, agricultural output, and hydrological processes [70].
Dobrogea experienced severe droughts in the years 2000–2001, 2007, 2011, 2012, 2015–2016, and 2019–2020, with the most critical impacts in 2012 and 2020, resulting from climate change and anthropogenic influences [71,72,73,74,75,76,77,78,79,80]. These events caused substantial agricultural and economic effects, particularly affecting the central, southern, and northwestern parts of the region due to acute water scarcity. For example, wheat yields fluctuated dramatically, ranging from as low as 296 kg/ha in 2003 to a peak of 3477 kg/ha in 2008, with the lowest production levels in 2001, 2002, 2007, and 2009. In the following decade, the average wheat yield rose to 3713.4 kg/ha but still experienced drops during years such as 2010 and 2012–2014. The worst years for barley production were 2007, 2003, 2005, and 2000, followed by 2012, 2010, 2013, and 2019. Oat production dropped significantly in 2010, 2012, and 2013–2015. Maize yields were marked by below-average performance during 2012–2016, 2019, and 2010 [81]. Grape harvests have advanced by 12 days for Fetească Regală and 6 days for Fetească Neagră due to earlier ripening. Droughts (e.g., 2001 and 2020) and rainfall excesses (e.g., 2005 and 2010) frequently alternate, especially in July and August. These conditions have accelerated veraison and boosted sugar levels in grapes (~+40 g/L), resulting in higher alcohol content and sweeter wine types [82].
The Danube Delta Biosphere Reserve, a UNESCO World Heritage Site, covers more than 5800 km2 and comprises a highly dynamic wetland system fed primarily by the Danube River’s discharge, supplemented by local precipitation and influenced by Black Sea backwater effects. The delta’s climate is slightly milder due to the maritime influence of the Black Sea, with a mean annual precipitation between 400 mm and 550 mm and a relatively high inter-seasonal variability. Precipitation in the DDBR plays a key role in maintaining hydrological connectivity, water quality, and biodiversity, particularly during periods of low river inflow [83]. Understanding precipitation patterns across the Dobrogea-Danube Delta system is critical for managing freshwater resources, mitigating drought risks, and preserving wetland functions in the face of ongoing climatic shifts and human-induced pressures, such as land use changes and upstream hydrological alterations.
The series the study consists of the monthly precipitation and temperature series spanning 1965 to 2019 from the Sulina meteorological station in the Danube Delta, Romania.

3. Results

3.1. Results of the Statistical Analysis

The monthly precipitation series Y i i = 1660 ¯ recorded in the DDBR from 1965 to 2019 had the following descriptive statistics: Y ¯ = 22.73 mm, Me = 17.25 mm, min = 0.00 mm, max = 162.00 mm, standard deviation (stdev) = 21.95 mm, skewness coefficient (skew) = 2.25, and kurtosis (kurt) = 7.34. These results indicated that the series was right-skewed and leptokurtic, characterized by many relatively small precipitation values with high frequencies and high values with very low frequencies.
The Shapiro–Wilk test rejected the normality hypothesis. However, the series’ normality was reached by a Box–Cox transformation, enabling the use of classical CPD techniques. The Buishand test rejected the null hypothesis that there is at least a CP, and the Pettitt and Lee & Heghinian tests indicated the dominant CP in August 1982 (month 212). Hubert’s segmentation procedure provided the results presented Table 1.
The segments formed by one or two months—[92, 93], 558, 582, 593—indicate the existence of aberrant values corresponding to the months August 1992 (month 92), September 1992 (month 93), June 2013 (month 582), and May 2014 (month 593). They were also flagged as aberrant by IQRM. Given the high number of outliers (24 observations) identified by IQRM, we employed the non-parametric CUSUM test based on ranks to enhance the robustness of CPD in the monthly precipitation series. The CUSUM chart (Figure 2) delineated six distinct temporal segments in the series, separated by statistically significant change points at months 212 (August 1982), 421 (January 2000), 472 (April 2004), 497 (May 2006), and 533 (May 2009).
The first CP marked a substantial shift in the mean monthly precipitation, from 26.13 mm before August 1982 to 19.57 mm for the period from September 1982 to January 2000. The second CP delimited the previous period from February 2000 to April 2004, with an average of 12.30 mm. The existence of the second CP was also confirmed by the findings in [80,84,85]. The next change point delimitated the previous period from May 2004 to May 2006 (with an average of 22.58 mm). The fourth CP started a period with an average of 14.86 mm, until May 2009. The final change point corresponded to a renewed upward shift in CUSUM values, initiating a phase characterized by the highest variation in average (28.59 mm). This recent increase may reflect a potential regime shift, possibly driven by broader-scale climatic influences.
In Bulgaria, warming has been documented since the mid-1980s, with 2007 being recorded as the hottest year from 1961 to 1990, experiencing temperatures 1.6 °C above the average. The years 2000 and 2009 were also ranked among the warmest in the country. However, over the past 10 years, total rainfall has increased, resulting in significant flooding. This pattern of climate variation is similar to that observed in the Dobrogea region of Romania, to which Sulina belongs [86].
To investigate whether there was a systematic trend in each of the subseries delimited by the CPs, the Mann–Kendall trend test was applied on each of them. The test did not reject the null hypothesis of randomness in any segment, indicating that there were no statistically significant monotonic trends within the sub-periods. Therefore, the observed changes were better interpreted as shifts in mean levels rather than persistent directional trends.

3.2. Results for the De Martonne Aridity Index

I M was computed using the annual and monthly data series (Figure 3). According to it (Figure 3, left), most months fell under the hyper-arid category, the rest being classified as arid: January of 1966 and 1968; December of 1966, 1968, and 2009; February of 1971, 1986, and 2003; November of 1965 and 2018; June 2011; and October 2016.
On an annual scale (Figure 3, right), I M ranged from 5.26 to 22.25 mm/°C. The years 1966, 1971, 1972, 1976–1980, 1988, 1995, 1997, 2014, 2016, and 2018 were classified as semi-arid, while the remaining years were classified as arid. These findings were similar to those in [87], which indicated the highest water deficit in the Danube Delta compared to the rest of Romania, especially during summer and the maize-growing season. Notably, after 2013, the index revealed an alternation between arid and semi-arid conditions, suggesting increased interannual variability in precipitation and temperature.
The classical CPD methods identified August 1982 as a CP in the monthly I M series, whereas CUSUM (Figure 4a) detected multiple CPs: September 1982, April 2000, January 2004, and May 2014.
The slight lag in the detection of the first three CPs, compared to those found in the raw precipitation series, and the highly similar CUSUM patterns observed for both precipitation and I M series at the monthly level (Figure 2) suggested that precipitation (the numerator in Equation (2)) plays a dominant role with respect to temperature in shaping the variability of I M .
The CPD methods identified the CPs in the annual I M series at years 17 (Pettitt), 16 (Lee & Heghinian), 18, and 49 (Hubert and CUSUM), indicating a modification around 1982 (year 18) (Figure 4b). This supports the presence of a prominent shift in aridity index variation during that period. Additionally, both the Hubert segmentation and CUSUM test detected a second CP in 2013 (year 49), suggesting a more recent alteration in the aridity regime. The CPs with the confidence intervals, confidence levels, and average values in each segment for the monthly and annual I M series are presented in Table 2.

3.3. Results for SPI

The SPI values at 1 month (SPI-1) and SPI values at 12 months (SPI-12) are presented in Figure 5, and are contained in Table 2. In Figure 5 (top), the black horizontal lines indicate the limits of the normal precipitation regime. The region between the upper black line and the upper red line delimits the moderately and very wet regime. The zone above the upper red line shows the extremely wet periods. Similarly, the zone between the lower black line and the lower red line represents moderately to very high drought. Periods with extreme drought are indicated by values below the lower red line.
SPI-1 (Table 3) indicated a predominantly normal precipitation regime, punctuated by alternating moderately wet and moderately dry periods. SPI-1 indicated that only a few very wet periods were noticed after 2013, especially in spring and summer. Over the recent decade, a pattern of alternating normal, very wet, and wet periods became evident. Notable intensifications in both wet and dry extremes were observed toward the end of the study period, especially in the summer and spring months.
The SPI values computed at the annual scale (Figure 5 bottom) further suggested that, overall, the last decade has been dominated by normal to wet precipitation regimes. The CUSUM analysis indicated a single CP in SPI-1 in August 1996 from an average of −0.1103 to 0.1624. It also detected a significant change point in 2013 (from an average of −0.1563 to 1.2533), aligning with a similar shift detected in the I M annual series, which reinforces the evidence of a climatic regime change during this period.
To complement the analysis at various temporal scales, the SPI values at 3 and 6 months (SPI-3 and SPI-6) were also calculated (Figure 6).
These indicators revealed notable seasonal variability. The most significant fluctuations occurred in the second quarter for SPI-3 and in the second semester for SPI-6, indicating periods of abrupt changes in precipitation patterns. Except for 10 instances, all SPI-3 values fell within the categories ranging from moderately dry to moderately wet. Similarly, all the values of SPI-6 also fell within these same categories for the entire period.
The CPA analysis found:
  • A CP in SPI-3 during the first quarter and SPI-6 during the first semester of 2011.
  • No CP in SPI-3 during the second quarter.
  • Two CPs in SPI-3 during the third quarter of the years 1996 and 2000. Specifically, they showed transitions from normal to extreme wet or very wet to extreme wet periods, respectively.
  • A CP in SPI-3 during the fourth quarter and SPI-6 during the second semester of 2000.
  • All values of SPI-6 indicated a high variability in the precipitation regime, with a tendency toward very wet periods in the second semester in the last study years.

4. Discussion

In this study, we investigated climatic aridity using the De Martonne Aridity Index, detected and quantified meteorological drought using SPI, and identified abrupt changes in average precipitation and series of indices utilizing CUSUM. When used together, I M and SPI offer complementary perspectives on climatic conditions because the first index captures the long-term climatic balance between precipitation and temperature, whereas SPI reflects fluctuations in precipitation at various scales.
According to I M , the climate in the DDBR is classified as arid to severely arid at a monthly scale, and semi-arid to arid on an annual scale. By contrast, SPI identified only a few periods of dryness but revealed significant variability in the precipitation regime, particularly after 2013, when wetter conditions became more frequent compared to the earlier periods.
Discrepancies between I M and SPI—particularly when SPI indicates normal or wet conditions while I M signals aridity—are common in drought assessments. This divergence arises primarily because I M incorporates both temperature and precipitation, making it more sensitive to warming trends. As a result, even when rainfall remains stable or increases, rising temperatures can lead to I M indicating more arid conditions. On the other hand, SPI is a probabilistic measure based solely on precipitation series over various timeframes. Therefore, periods of elevated temperatures and average rainfall may be classified as normal or wet by SPI, while I M may still reflect severe aridity due to increasing temperatures.
Correlation analysis between the SPI-12 and annual I M series provided a correlation coefficient of r = 0.53, with a p-value of 0.02. Even though r was not very high, it indicated an acceptable concordance between the classifications provided by SPI-12 and annual I M . The complementary natures of I M and SPI, and their combined use, provide a more robust foundation for climate risk and agricultural vulnerability assessments.
Change point analysis supported the hypothesis of shifts in aridity and precipitation regimes, indicating changes in the mean values of these parameters without clear evidence of modifications in their overall trend.
Deeper insights into previous studies on the European trend of climate change evolution and that at Sulina (and Dobrogea, in general) indicate the following.
  • In the Dobrogea region, including Sulina, a modest warming trend was observed between 1960 and 1980, with a multi-station average annual mean increase of approximately 0.8 °C since the late 1990s [42,84,88]. After 1988, statistically significant increases in minimum and mean temperatures were recorded. Specifically, there was an average increase of around 0.7 °C at Sulina and neighboring stations, with minimum temperatures rising after approximately 1988 and mean temperatures increasing after around 1997 [89]. From 1961 to 2013, average annual temperatures fluctuated between 9.7 °C and 12.3 °C, with the most significant increases occurring in the latter decades. By comparison, European land temperatures rose by about 1.4 to 1.6 °C during the period from 2006 to 2015 relative to pre-industrial levels, highlighting Europe as one of the fastest-warming continents.
  • In the winter and fall seasons, there has typically been a stronger increase in minimum (overnight) temperatures since 1988. Weather stations in Sulina and Dobrogea have recorded more significant rises in minimum temperature, suggesting milder winters. For the summer months, observational data reveal that maximum temperatures have risen by approximately 0.6 °C per decade in July and about 0.65 °C per decade in August at coastal and Danube Delta stations. Additionally, the number of days exceeding 30 °C has become more frequent between 1965 and 2005, particularly in July and August. This trend has heightened the risk of crop failure during extreme summer conditions, such as those experienced in 2000 [51,89].
  • At Sulina, the annual precipitation decreased from approximately 281 mm during the period of 1961–1990 to about 229 mm in 1980–2009, resulting in a decline of over 50 mm across three decades. This brings the area below the global arid threshold of approximately 229 mm per year. Dry spells are becoming longer, and precipitation intensity—measured by indices such as R95p and SDII—is increasing in parts of Dobrogea. Drought analyses conducted using the Standardized Precipitation-Evapotranspiration Index (SPEI) and the Composite Drought Index from 2001 to 2021 indicate that the period from 1991 to 2021 was the driest in Dobrogea since 1901. Severe and extreme drought occurrences peaked in the years 2011–2012, 2015, and 2020, impacting as much as 70% of the region [51,90].
  • Heatwaves in Southern Romania have become longer, more frequent, and more intense since 1961, particularly after 1990. By contrast, cold spells have decreased in both frequency and severity. Additionally, the spring and autumn seasons are getting shorter, with extreme heat events increasingly extending into transitional months, such as late spring and early fall. This shift is noticeably altering the seasonal experience for daily life [91]. These findings are in concordance with the general trend in SSE, as presented in [13,14,15,16,17,18,19].
The results of this study are consistent with most of the above findings, as, for example those reported by Cheval et al. [88], Lungu et al. [51] (who analyzed aridity conditions in Dobrogea prior to 2011 and classified the region as semi-arid, though they did not address climatic variability specifically in the DDBR), Bădăluță et al. [92] (who used SPEI-3 and found that, between 1991 and 2021, severe droughts occurred in the southern Danube Delta and the frequency of extreme droughts increased across Dobrogea), and Bandoc and Prăvălie [93] (who detected a climatic water deficit at Sulina before 2009 and reported that the most severe droughts in continental Dobrogea occurred in 2011 and 2012). Our results are partially concordant with those of Serban and Maftei [80] for 2012, emphasizing the unique and evolving climatic pattern in the Danube Delta region.

5. Conclusions

This study assessed potential changes in precipitation patterns in Romania, with a specific emphasis on detecting CPs in long-term monthly rainfall data. The analysis was conducted using data from 1965 to 2019 recorded at the Sulina hydrometeorological station located in the DDBR—an ecologically sensitive area where climatic shifts can have far-reaching effects. Identifying change points within the precipitation series allowed for the detection of abrupt or gradual shifts in the rainfall regime, which can serve as indicators of climate variability. Such insights are critical for anticipating ecological responses and informing water management and conservation strategies in this unique and fragile ecosystem.
At the annual scale, I M indicated a decrease in aridity in 2014, 2016, and 2018, in contrast to the severe aridity observed in most previous years. At the monthly scale, most records indicated severe aridity. The analysis of SPI-1, SPI-3, and SPI-6 revealed high variability in precipitation across different scales, with the most pronounced fluctuations in SPI-3 and SPI-6. Apart from previous studies, the present one enriched knowledge of the study area by addressing shifts in climate through nonparametric CUSUM, a method that has not been previously applied. By applying CPD to climatic datasets, researchers can gain a deeper understanding of the timing and nature of climatic shifts, thereby enhancing adaptive strategies and resilience planning. In this case, they revealed modifications in mean climate indicators, especially after 2013.
Effective strategies must be multidimensional, addressing the agricultural, hydrological, ecological, and infrastructural vulnerabilities of the region, while aligning with both national and European Union (EU) policy frameworks. The action directions include: (1) climate-smart agriculture, i.e., promoting drought-tolerant crop varieties and conservation agriculture practices (e.g., no-till farming, crop rotation, and organic mulching) to enhance soil moisture retention and reduce erosion; (2) water resource management, e.g., modernization of irrigation infrastructure and strategic water allocation, as well as implementing drought early warning systems and regional water-sharing agreements; (3) coastal protection measures (e.g., vegetated barriers and dune reinforcement); and (4) land use planning to restrict development in high-risk floodplains, etc. [94,95,96,97,98,99,100].
The Danube Delta is highly susceptible to sea level rise, saltwater intrusion, and changes in river dynamics. Implementing ecosystem-based adaptation measures—such as wetland restoration, reforestation, and the establishment of buffer zones—can enhance biodiversity and provide natural protection against floods and droughts. It is essential to expand conservation efforts both within and around protected areas, along with initiatives that promote habitat connectivity, to safeguard migratory species and maintain wetland integrity in the face of changing climatic conditions [101].
Despite the ecological importance of the DDBR, significant gaps remain in understanding its climate evolution, particularly over the past two decades. While recent analyses, including the present study, offer valuable insights into changing patterns of aridity and precipitation, these findings should be further validated through extended research that will include other drought indices. Confirmatory studies using longer and higher-resolution climate records, additional drought and aridity indices, and improved spatial coverage are essential to establish the robustness of the observed changes.
A comprehensive database including other variables is also necessary better to detect the extent of extreme events in the region. Integrating remote sensing data with hydrological models and field-based observations could enhance the understanding of the complex interactions between climatic variability and the Delta’s sensitive ecosystems.
Furthermore, applying a range of CPD methods alongside additional climate and drought indices would strengthen the robustness of the current findings. Such a multidisciplinary approach would provide a more comprehensive foundation for developing effective climate adaptation strategies, promoting sustainable water resource management, and informing conservation policies within the region.

Author Contributions

Conceptualization, A.B. and C.Ș.D.; methodology, A.B. and C.Ș.D.; software, A.B.; validation, C.Ș.D.; formal analysis, A.B. and C.Ș.D.; investigation, A.B. and C.Ș.D.; resources, A.B.; data curation, A.B.; writing—original draft preparation, A.B. and C.Ș.D.; writing—review and editing, A.B.; visualization, A.B.; supervision, A.B.; project administration, A.B.; funding acquisition, C.Ș.D. All authors have read and agreed to the published version of the manuscript.

Funding

This research received no external funding.

Data Availability Statement

Data are freely available to download from European Climate Assessment & Data: https://www.ecad.eu/dailydata/index.php (accessed on 1 June 2025).

Conflicts of Interest

The authors declare no conflicts of interest.

Abbreviations

The following abbreviations are used in this manuscript:
CPChange Point
CPDChange Point Detection
CUSUMCumulative Sum
DDBRDanube Delta Biosphere Reserve
I M De Martonne Aridity Index
IQRMInterquartile Range Method
PDSIPalmer Drought Severity Index
SEESouth East Europe
SPIStandardized Precipitation Index

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Figure 1. Map of Romania (top) and the Sulina monthly precipitation series (mm) (bottom).
Figure 1. Map of Romania (top) and the Sulina monthly precipitation series (mm) (bottom).
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Figure 2. CUSUM chart for the monthly series (1965–2019). The periods delimited by CPs are represented in the CUSUM chart in different colors.
Figure 2. CUSUM chart for the monthly series (1965–2019). The periods delimited by CPs are represented in the CUSUM chart in different colors.
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Figure 3. IM for monthly (left) and annual (right) scales.
Figure 3. IM for monthly (left) and annual (right) scales.
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Figure 4. CUSUM for monthly (a) and annual (b) I M .
Figure 4. CUSUM for monthly (a) and annual (b) I M .
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Figure 5. (top left) The SPI-1 chart for spring and summer months; (top right) the SPI-1 chart for autumn and winter months; and (bottom) the SPI-12 chart. The green lines mark the thresholds of the normal precipitation regime. The area between these green lines represents periods with near-normal precipitation. The red line indicates the upper threshold for the extremely dry category, while the purple line denotes the lower threshold for the extremely wet category.
Figure 5. (top left) The SPI-1 chart for spring and summer months; (top right) the SPI-1 chart for autumn and winter months; and (bottom) the SPI-12 chart. The green lines mark the thresholds of the normal precipitation regime. The area between these green lines represents periods with near-normal precipitation. The red line indicates the upper threshold for the extremely dry category, while the purple line denotes the lower threshold for the extremely wet category.
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Figure 6. The charts of SPI-3 (left) and SPI–6 (right).
Figure 6. The charts of SPI-3 (left) and SPI–6 (right).
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Table 1. CPs detected by Hubert’s procedure and the beginning and end of the time segments.
Table 1. CPs detected by Hubert’s procedure and the beginning and end of the time segments.
BeginningEndMeanStdev
19127.4625.16
9293102.7538.54
9455721.2217.54
558558163.000.00
55958117.0013.02
582582129.000.00
58359220.9316.68
593593132.000.00
59466031.1826.53
Table 2. CPs detected by CUSUM procedure and the beginning and end of the time segments.
Table 2. CPs detected by CUSUM procedure and the beginning and end of the time segments.
MonthConfidence IntervalConfidence LevelFromToYearConfidence
Interval
Confidence
Level
FromTo
213(57, 359)90%1.36651.026518(14, 26)100%14.70110.550
424(348, 444)93%1.02650.695349(44, 52)96%10.55016.017
469(448, 544)98%0.69531.0807
593(505, 646)90%1.08071.4994
Table 3. SPI-1.
Table 3. SPI-1.
YearJanFebMarAprMayJunJulAugSepOctNovDec
1965−0.230.220.070.511.64−0.231.42−0.33−1.79−2.320.091.27
19662.570.040.49−1.150.390.03−0.040.710.62−0.921.371.39
19670.630.48−0.73−1.09−0.63−0.89−1.510.86−0.600.38−1.400.65
19681.180.21−0.43−2.21−1.49−1.440.20−0.171.48−0.800.590.52
19690.091.570.520.80−2.081.060.64−0.78−0.12−1.50−1.992.27
1970−0.551.59−0.13−0.271.05−0.49−1.321.22−1.33−0.29−0.08−0.94
1971−0.071.01−0.14−2.021.28−0.090.21−0.951.68−1.060.13−0.72
1972−0.90−0.82−1.86−0.340.30−0.45−0.771.591.801.51−0.37−1.50
1973−0.100.891.110.110.10−1.330.170.11−2.05−1.12−0.13−1.35
1974−1.23−0.57−0.151.540.41−0.331.43−0.590.65−0.40−0.26−0.55
1975−0.56−2.410.391.50−0.65−0.400.80−1.37−2.100.651.12−2.75
1976−0.070.18−0.80−0.90−0.94−0.94−0.051.910.88−1.150.000.28
19770.020.94−2.141.410.50−0.26−0.040.64−1.04−1.61−0.47−0.46
1978−1.221.231.360.460.750.96−0.190.34−0.37−0.83−1.62−0.59
19790.67−0.73−0.240.050.850.740.910.29−0.36−0.470.91−1.23
19800.41−2.220.210.751.091.98−0.260.240.08−0.060.821.27
19810.65−0.280.73−0.51−0.26−1.930.070.00−0.260.401.660.24
1982−0.940.22−0.360.34−1.51−0.220.16−0.65−1.240.36−1.23−0.18
1983−1.890.00−1.88−0.59−0.950.97−0.16−0.28−0.85−0.66−0.52−0.55
19840.700.951.510.83−0.010.270.28−1.04−1.69−0.830.62−0.40
19850.530.51−1.390.23−0.430.400.010.48−0.38−0.610.24−0.35
19860.271.62−0.31−1.40−2.18−0.06−0.77−0.120.430.45−1.890.15
19870.22−1.47−0.60−0.88−0.010.15−0.280.91−0.691.350.54−0.12
19880.890.122.101.141.06−0.48−0.03−1.280.94−0.470.441.12
1989−1.28−0.05−0.65−0.830.371.62−0.95−1.700.911.13−0.50−0.57
1990−0.96−0.02−2.140.330.16−0.38−0.590.200.58−0.70−0.650.83
1991−1.540.15−1.530.851.34−0.560.850.35−0.830.09−0.970.36
1992−2.27−0.060.82−0.660.611.140.18−0.69−0.500.63−0.120.06
1993−1.910.251.230.790.090.240.80−1.140.02−0.470.02−0.55
1994−1.28−2.11−1.26−0.70−0.300.420.900.31−1.69−0.55−2.030.01
19950.61−1.370.61−0.06−0.01−0.710.260.540.30−0.441.28−0.02
19960.251.06−0.020.16−0.22−2.79−1.831.001.770.24−0.120.94
1997−0.89−0.730.231.250.561.672.221.11−0.450.390.990.26
1998−0.31−1.30−0.29−0.99−0.38−0.060.560.371.431.361.47−1.60
1999−0.42−0.610.740.280.131.32−0.092.700.630.46−0.890.53
20000.810.21−1.06−0.29−2.24−0.17−1.64−0.761.18−1.660.96−0.93
2001−1.59−0.010.42−0.440.250.86−0.98−0.280.540.070.68−0.03
2002−0.72−0.121.200.01−0.40−0.86−0.971.50−0.241.500.53−0.45
20030.750.54−0.97−0.03−1.70−1.761.09−0.350.240.43−0.630.24
20040.70−0.41−0.49−0.561.44−0.691.631.780.150.150.340.50
20050.920.741.021.310.560.150.930.470.48−0.901.460.12
20060.03−0.550.790.730.610.57−1.160.780.63−1.58−0.99−0.55
20070.03−0.200.38−0.47−1.21−0.45−2.440.760.571.421.161.51
2008−0.64−1.350.150.73−0.530.290.03−1.571.07−0.47−0.730.44
20090.79−0.200.31−1.75−0.44−2.081.34−1.010.240.48−1.071.69
20100.551.420.730.030.751.520.41−1.280.071.27−0.421.16
20111.190.09−0.460.640.500.27−0.28−1.530.020.02−1.690.02
20121.77−0.20−1.06−0.161.060.01−0.730.60−0.500.24−0.791.38
20131.37−0.05−0.95−0.20−0.060.830.45−0.561.241.77−0.79−1.72
20141.19−0.200.610.831.89−0.07−0.05−0.02−0.160.481.411.53
2015−0.271.552.021.01−2.07−0.71−0.73−0.19−0.011.931.83−1.87
20161.52−1.930.980.531.600.46−2.59−0.701.011.600.06−1.20
20170.210.340.342.39−0.301.521.65−0.71−2.311.600.350.41
20180.372.191.16−2.75−0.021.601.20−2.090.38−0.711.340.21
Legend: dark blue—extremely wet, blue—very wet, light blue—moderately wet, green—normal, yellow—moderate drought, orange—severe drought, red—extreme drought.
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Bărbulescu, A.; Dumitriu, C.Ș. Assessing the Changes in Precipitation Patterns and Aridity in the Danube Delta (Romania). J. Mar. Sci. Eng. 2025, 13, 1529. https://doi.org/10.3390/jmse13081529

AMA Style

Bărbulescu A, Dumitriu CȘ. Assessing the Changes in Precipitation Patterns and Aridity in the Danube Delta (Romania). Journal of Marine Science and Engineering. 2025; 13(8):1529. https://doi.org/10.3390/jmse13081529

Chicago/Turabian Style

Bărbulescu, Alina, and Cristian Ștefan Dumitriu. 2025. "Assessing the Changes in Precipitation Patterns and Aridity in the Danube Delta (Romania)" Journal of Marine Science and Engineering 13, no. 8: 1529. https://doi.org/10.3390/jmse13081529

APA Style

Bărbulescu, A., & Dumitriu, C. Ș. (2025). Assessing the Changes in Precipitation Patterns and Aridity in the Danube Delta (Romania). Journal of Marine Science and Engineering, 13(8), 1529. https://doi.org/10.3390/jmse13081529

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