Understanding climate risks to world cultural heritage: a systematic analysis and assessment framework for the case of Spain

Understanding the spatial distribution of world cultural heritage in its present-day geographical context is the foundation for the identification of and subsequent protection from key threats and vulnerabilities, particularly those arising from anthropogenic climate change. To address this challenge, we classified 45 Spanish world cultural heritage sites (WCHS) listed in the UNESCO register (as of 2023) according to type, entry date, and creation date. To establish a basis for a detailed analysis of the specific impact of climate change on the Spanish WCHS, a spatial cartographic database was developed showing the relationships between the WCHS and key geographical and climatic variables. We then used historical climate data, combined with a review of the impact mechanism of climate conditions on cultural herit-age, to quantitatively evaluate the extent to which the WCHS in Spain are affected by local climate conditions from five aspects: freeze thaw cycle, thermal stress (thermoclastism), hydrodynamic scoring, corrosion, and biodegradation. Based on the above climate condition risks, we identified the five Spanish WCHS with the greatest potential climate condition risks, including Santiago de Compostela (Old Town), Pyrénées—Mont Perdu, the Roman Walls of Lugo, the Routes of Santiago de Compostela: Camino Francés and Routes of Northern Spain, and the Tower of Hercules. Additionally, based on different shared socioeconomic pathways (SSPs), we conducted a qualitative assessment of climate risk changes for WCHS in Spain under climate change. We found that the SSP1-2.6 scenario had the lowest climate risk, emphasizing the importance of achieving carbon neutrality for the protection of the WCHS. Our work translates historical climate conditions into specific climate risk levels for cultural heritage, providing data and theoretical support for effectively assessing the climate risks to Spanish WCHS.


Introduction
World Heritage is an international heritage designation that has significant political and economic benefits for both local and national communities.With the efforts of UNESCO, the number of World Heritage sites increased from 12 to 1121 in the 45 years from 1978 to 2023 (https:// whc.unesco.org/ en/ state spart ies/ es).There are 869 WCHS sites, accounting for 77.5% of the total.At the same time, the number of contracting parties to the World Heritage Convention has also increased from 20 to 167, which is the minimum number required for formal implementation of the international convention [1].With the continuous increase in the number of sites, many factors, such as World Heritage recognition standards, policies, and the influence of contracting states, have undergone changes [2,3].On the one hand, the World Heritage List can improve the popularity of heritage sites and promote their protection [4].For example, heritage sites can become national landmarks and promote tourism development [5].On the other hand, there are also some problems, such as the difficulty in achieving fairness in the process of heritage application [6,7], which leads to the neglect of some historical and cultural values that truly require attention and protection and difficulties in ensuring that sites in less wealthy nations are fairly represented [3].In addition, the increase in the number and types of heritage sites has made it difficult to protect them globally [8].Therefore, selecting countries with large numbers of WCHS as case studies, in order to explore the spatiotemporal distribution patterns and climate-related impacts of their WCHS not only helps to protect WHCS in selected case countries, but also can serve as a reference to enhance sustainable protection of the WCHS across the globe.Spain has the second largest number of WCHS after Italy.To date, it has 45 WCHS, including 42 cultural heritage sites, 3 composite heritage sites, and 1 natural heritage site jointly owned by France (https:// whc.unesco.org/ en/ state spart ies/ es) (Table 1).
However, the country's WCHS face significant threats that are likely to be exacerbated under a rapidly changing future climate, for example, from events such as extreme precipitation, flooding and forest fires [9] and the potential impacts of sea level rise on coastal WCHS [2].Previous studies have shown that Spain's WCHS are an important foundation for the promotion and development of tourism [10][11][12][13][14][15].Therefore, the protection of WCHS is crucial [10].At present, increasingly high concentrations of greenhouse gases in the atmosphere as a result of human activities are leading to rapid global heating and unpredictable changes in global climate.International climate policy aspires to limit global temperature rise to less than 2 °C this century, but the rate of climate warming is exceptionally rapid [16], and efforts to reduce emissions have thus far been insufficient [17].It is argued that cultural heritage should try to maintain its authenticity and integrity, which potentially creates tension with restoration and conservation actions.However, the climate crisis will expose WCHS to stressors that most sites have never experienced, in some cases threatening outright destruction [9].In November 2021, UN Education at the 23rd session of the Conference of the Parties to the Convention on the Protection of the World Cultural and Natural Heritage of the Scientific and Cultural Organization (UNESCO), in its 11th item of the provisional agenda, the Conference of the Parties to the Convention on the Protection of the World Cultural and Natural Heritage, pointed out that "climate change has become one of the most significant threats to the world heritage and may affect its outstanding universal values, including its integrity and authenticity, and its potential for economic and social development at the local level" [18].Numerous studies have evaluated the specific manifestations of factors such as precipitation [19,20], temperature [21,22], atmospheric humidity [23,24], and sea level rise [2,25] in terms of their direct and indirect impacts on world cultural heritage buildings or building materials, and have summarized the underlying mechanisms of the threats posed to world cultural heritage protection by changes in these climate elements on a global scale [9].However, there is limited research quantifying regional differences and trends in the impact of climate change on world cultural heritage from the perspectives of historical climate and future climate.
Given the importance of Spain's WCHS, the country's position as a leading cultural heritage country because of its large number of sites, the insufficient international progress in reducing greenhouse gas emissions and the large amount of "locked in" warming, detailed assessments of the vulnerability of Spain's WCHS to climate change impacts are urgently needed.In this article, we contribute to this important task.We explore the spatiotemporal distribution patterns and historical, cultural, geographical, and climatic backgrounds of Spain's WCHS and quantify the impact of current climate conditions on these patterns.We develop a theoretical framework and GIS database for analyzing the current and future vulnerability of the Spain's WCHS to develop rigorous, evidence-based policy responses to ensure its protection under our rapidly changing climate.

National policy and management of WCHS in Spain
The Next Generation EU COVID recovery fund (NGEU) and the European Green Deal are expected to help dynamize and provide new guidelines for cultural heritage preservation and climate-related projects in Spain [26].The Next Generation EU COVID recovery fund was agreed upon at a special EU summit on July 21, 2020, with the main body of the Multiannual Financial Framework (MFF) totaling €1824.3 billion [27], which is intended to assist the EU in its post-pandemic reconstruction and recovery efforts.The recovery and resilience facility includes expenditures on science and education, and part of the fund can inevitably be applied to the conservation of Spain's WCHS, maintaining previous heritage policies while increasing expenditures on the management of cultural heritage tourism and increasing cultural heritage tourism-related employment and fiscal revenues.In addition, as Spain shares some WCHS with other countries (e.g., France), NGEU greatly facilitates exchanges and cooperation in the economic and policy fields of EU countries [28].Under this trend, it is boldly predicted that a favorable situation of complementarity and synergy between member states in the field of heritage and conservation policies will gradually emerge.At the same time, 30% of the total expenditure of the MFF and the NGEU will be allocated to climaterelated projects, and the costs of the MFF and the NGEU will be used by the EU to achieve the UN climate-neutral targets by 2050, the EU's 2030 Paris Agreement targets.Although this measure is part of a systematic project to curb global heating [29], this initiative is a major benefit for the preservation of the WCHS.Meanwhile, in July 2021, the European Commission published the Renewable Energy Efficiency Directive (part of the European Green Deal).The deal reaffirms the EU's determination to strive for energy independence, its confidence in a 55% reduction in greenhouse gases by 2030, and that the EU will accelerate the deployment of renewable energy [30].This policy favors, on the one hand, an increase in the use of renewable energy.On the other hand, the tentative agreement introduces a specific renewable energy development standard of 49% reduction of energy consumption in buildings by 2030, which poses new challenges for the conservation of cultural heritage in building types.This is because the indoor facilities or artifacts of cultural heritage objects require a continuous supply of energy to maintain the indoor microclimate within the appropriate temperature and humidity range [31].In conclusion, post-pandemic policies for the conservation of WCHS in Spain need to be further adapted to the local context, in accordance with the European Green Deal and with the funding provided by NGEU projects.

Data sources
Given the urgent need to understand the climate-related risks to WCHS in Spain, this study aims to qualitatively and quantitatively assess the extent to which WCHS in Spain are affected by local climatic conditions based on their spatial distribution and the historical climatic conditions of their location.To achieve this aim, we used a series of spatial analysis techniques and data sources (Table 2), as follows.
We compiled climate, geography, land use, and condition information for Spain and visualized Spain's WCHS as map overlays against key climatic variables.We  [32] to combine each of the mechanisms of the impact of climatic conditions on cultural heritage to qualitatively and quantitatively preliminarily assess the vulnerability of Spain's WCHS under the influence of climatic conditions.The R software programs "rgdal" and "Raster" were used to extract monthly average historical climate data for 50 years based on the latitude and longitude of each WCHS.

Quantitative analysis of potential risks under climate conditions
Historical climate data (average of 1970-2020) (Appendix 1) are used to quantitatively evaluate the extent to which WCHS in Spain are affected by local climate conditions from four perspectives: freeze-thaw cycles, thermal stress (thermoclastism), fluid dynamics scoring, corrosion, and biodegradation.By quantifying the specific impacts of four aspects under climate conditions and summing and ranking them, the climate-dependent vulnerability of Spanish WHCS can be analyzed from the perspective of climate conditions.Specifically, as follows: The prerequisite for the freeze-thaw cycle is that the annual minimum temperature of the cultural heritage site is lower than 0 ℃, there is more rainfall, and there are periods of temperatures above 0 ℃ each year.We selected the cultural heritage sites affected by the freezethaw cycle based on the historical average climate data for WCHS in Spain .The product of the absolute minimum temperature of the coldest month standardized by the Z score and the annual precipitation standardized by the Z score was used to preliminarily quantify the impact of freeze-thaw cycles under ideal conditions (Table S1).
The prerequisite for thermoclastism, which refers to damage to stone materials caused by thermally induced expansion and contraction, is that the cultural heritage site has large interannual and diurnal temperature differences and is exposed to more sunlight radiation.We selected cultural heritage sites affected by thermoclastism based on the historical average climate data for WCHS in Spain (1970-2020).The diurnal average temperature range and annual average temperature difference are positively correlated and strongly correlated (Figure S1, R 2 = 0.8275).Therefore, we use the diurnal average temperature range, which is more related to the frequency of thermoclastism, as a parameter.We use the product of the diurnal average temperature range standardized by the Z score and the solar radiation value standardized by the Z score to quantify the impact of thermoclastism on the ideal state (Table S2).
Hydrodynamic scoring is affected mainly by the annual average precipitation and annual maximum precipitation.We quantified the impact of hydrodynamic scoring on Spanish WHCS under ideal conditions by multiplying the Z score standardized annual average precipitation and Z score standardized annual maximum precipitation values based on historical average climate data (1970-2020) (Table S3).
Previous studies have suggested that corrosion and biodegradation are mainly influenced by two sets of climate data [2,9]: (i) average annual temperature and precipitation and (ii) mean precipitation of the wettest month and mean temperature of the warmest quarter.We quantified the impact of corrosion and biodegradation on Spanish WHCS under ideal conditions by multiplying the absolute values of two sets of climate data standardized by the Z score using historical average climate data from 1970 to 2000 and finally calculating the mean (Table S4).
The geometric mean of the four specific impact scores of the above climate conditions on cultural heritage was used as the composite score to quantify the risk level of the potential impacts of climate conditions on the local WCHS in different regions of Spain.Based on the score rankings, the climate condition risk rankings of the regions where the WCHS is located in Spain are obtained.The formula is as follows: X is the specific impact score that is not 0, and n is the number.Evaluating the overall impact using the geometric mean can reduce the impact of extreme values on the composite score [33].

Typology and geographical characteristics of world cultural heritage sites in Spain
According to the definition of UNESCO, WCHS can be divided into i.Cultural relics, buildings, carvings, and paintings of outstanding universal value from a historical, artistic, or scientific perspective, as well as inscriptions, caves, and their complexes with archaeological components or structures; ii.Architectural complexes, single or connected architectural complexes that, from a historical, artistic, or scientific perspective, have outstanding universal value in terms of architectural style, uniform distribution, or integration with environmental scenery; iii.Sites, artificial engineering or joint works of humans and nature with outstanding universal value from a historical, aesthetic, ethnographic, or anthropological perspective, as well as archaeological sites.According to the description on the official website (https:// whc.unesco.org/ en/ state spart ies/ es), we calculated the number of different types of World Heritage sites in Spain (Fig. 1A).We found that Spanish WCHS mostly comprise architectural complexes (n = 30), followed by sites (n = 12) and cultural relics (n = 3).Of course, individual WCHS may belong to multiple types, e.g.-in Granada, Andalucia, the WCHS of Alhambra, Generalife and Albaycín is both an architectural complex and includes cultural relics.Accordingly, we base our classification on the main characteristics of each cultural heritage site.From a typological perspective, Spain is representative of the cultural heritage types of European Mediterranean coastal countries [34], with more architectural communities and fewer sites.Previous studies on countries such as Italy [3,35] have also found the same pattern.We annotate cultural heritage on a map of Spain (Fig. 1A, Table 1) according to the longitude and latitude provided by UNESCO.Due to Spain being a former maritime power state [36], its cultural heritage is widely distributed along the coast and on many islands.Therefore, there are certain historical reasons for the densely populated sites in the central and western regions of the Iberian Peninsula.According to the division of Spanish first-level administrative units and autonomous regions (Fig. 1B), we found that there are more than two WCHS in seven autonomous regions, and the total number of cultural heritage sites in the seven autonomous regions is close to 70% of the comprehensive cultural heritage of Spain.Among them, Castile Leon, the largest autonomous region in northwestern Spain, has the most cultural heritage (with 7 sites), but most of them are distributed in the high-altitude areas of the border of the autonomous region (Fig. 1B).Andalusia is located in southern Spain, with a large area and 6 cultural heritage sites that are all architectural complexes and related to religious beliefs.As the capital region, Madrid, despite its small size, still has four cultural heritage sites, all of which belong to modern architecture or architectural relics (Table 1).
World cultural heritage sites are mainly concentrated in the three primary ancient civilizations of the Eurasian continent, namely, the "Two Rivers Civilization", "Ancient Indian Civilization", and "Chinese Civilization", as well as the secondary classical civilization, "Ancient Greek and Roman Civilization" (Europe) [3].Italy, Spain, China, Germany, France, and India have the greatest number of cultural heritage sites in the world [3] (Fig. 1D).In terms of climate (Fig. 2), the WCHS cluster in central Spain is mainly distributed in the cool temperature and xeric climate zone, while other cultural heritage sites are mainly distributed in the warm temperature and mesic, warm temperature and xeric warm climate zones.Only the two cultural heritage sites in the north, Santiago de Compostela (Old Town) and Pyrenees, Mont Perdu, are distributed in cold climate zones (Fig. 2).In physical terms, Spain has diverse terrain relief and a large plateau area (the meseta) [2] (Fig. 3).Looking at the altitude distribution of cultural heritage in the four major countries with WCHS, we find that most of Italy, China, and France's WCHS is distributed in lower-lying areas (especially China and France), while the Spanish WCHS are more distributed in the highlands [3] (Fig. 3).In summary, the Spanish WCHS is evenly distributed, with a wide altitude gradient and a Fig. 2 Climatic conditions in Spain, with WCHS, numbered following Table 1.(Data source: Table 2) long coastline, which reflects the unique distribution of the Spanish WCHS on a global scale.
The number of WCHS admitted to the list in the 1980s and 1990s was relatively large, while the number of WCHS members admitted in the 2000s and 2010s was relatively small (Table S1).As shown in Fig. 1C, although the frequency of entry has decreased in recent years, Spanish excavation and application work for domestic WCHS have continued, and there have been more entries in recent years.The period with the highest number of cultural heritage entries per unit time in Spain was from 1996 to 2000, followed by 1984 to 1990.In 1982, Spain joined the UNESCO Convention for the Protection of the World Cultural and Natural Heritage and took the following measures in connection with other World Heritage countries or international organizations: i. contributing to the UNESCO World Heritage Fund; ii.The Spanish Institute of Historical Heritage provides annual funding of €35m for maintenance and rehabilitation work; iii.Spain has reached an agreement with the World Heritage Center to provide €3m euros in foreign technical assistance; iv.Conduct overseas training courses on heritage [37].In addition to the recording time of cultural heritage, this study also sorted out the historical periods to which the Spanish WCHS belonged (Fig. 4).

Quantitative assessment of the impact of local climate conditions on the Spanish WCHS-recent past
In the following section, we describe the impact mechanism of climate conditions on cultural heritage using examples from the literature and present the results of the detailed analysis of the WCHS in Spain using historical climate data (Appendix 1).

Freeze thaw cycle
During freezing, the volume of water in porous material increases, resulting in changes in internal stress.However, under climate change, the frequency of freezing and thawing mechanisms in most parts of Europe is expected to be relatively low [38].The resulting mechanical weathering will lead to damage and disintegration of stone, brick and ceramic material structures [39].

Thermal stress and thermoclastism
Cracking is the expansion and contraction of surface mineral particles caused by seasonal changes, diurnal changes in temperature and thermal changes caused by direct sunlight and may lead to microcracks, the spalling of stones and the erosion of the surface of building materials [40].It is expected that with climate change, the risk of thermoclastism in the Mediterranean region will increase, especially for the widely used Carrara marble [41].Some adjustments have been made in the area; for example, Malta's megalithic temple sites are free-standing and open to the air [42].These prehistoric structures date to the 3rd and 4th millennia B.C.E, and are mainly constructed of globigerina limestone, a relatively soft and porous local limestone.Since excavation, these sites have been exposed to solar radiation, as well as rain, salt and wind, leading to their degradation.Clearly, thermoclastism is a key threat to these important sites.

Precipitation changes
Martin-Vide [43] calculated the concentration index (CI) for evaluating the weight of diurnal precipitation changes from 1951 to 1990 and divided the spatial distribution of diurnal precipitation in Spain: the precipitation in the eastern region is high; 25% of the rainfall days account for 70% or more of the annual precipitation, while the precipitation in other regions is more regular.The area with the highest diurnal rainfall is the southern part of Valencia Bay, which is also the area with the highest diurnal and hourly rainfall intensity in Spain.De Luis et al. [44] calculated and compared the seasonal precipitation observed during two consecutive 30 years (1946-1975 and 1976-2005).The spatial variation in the seasonal precipitation on the Iberian Peninsula overlaps with the complex temporal variation pattern, and there are two  patterns: (i) the climate is subtropical, and the rainfall decreases from winter to summer; and (ii) the percentage increase in autumn rainfall.Therefore, the spatial and temporal distributions of precipitation in Spain are uneven.The increase in water volume due to climate change may lead to soil saturation and the overloading of drainage ditches and downspouts.The risk of moisture infiltration in historical materials, including masonry walls, is greater.Water infiltration into porous materials may also be due to condensation and capillarity in the presence of soil moisture.Inflow water causes material degradation through corrosion and biological activity [9].

Corrosion
In a warm climate, more precipitation will increase the corrosion of metal and glass materials, as well as the surface degradation of carbonate rocks [45], such as limestone and marble.Corrosion is a chemical phenomenon.It is usually deposited with salt (usually chloride) under the action of water, leading to gradual deterioration of materials.High atmospheric concentrations of carbon dioxide (CO 2 ) are more common in acid rain and carbonate rocks.Grøntoft [46] predicted that due to the warmer and wetter climate, the corrosion of various metals in Northern Europe, namely, steel, zinc, copper and bronze, as well as Portland limestone and painted surfaces, will increase, while it is expected that the corrosion of southern Europe, which has a dry climate, will decrease.They also found that in areas with high chloride deposits, such as coastal areas and areas where deicing salts are used in cold seasons, the corrosion of zinc, copper and lead is expected to increase, while the corrosion of glass materials throughout Europe is expected to decrease overall, albeit to a small extent [47].For the facades of stone buildings in northern Europe where precipitation is expected to increase, this may lead to further corrosion of stone building surfaces, such as Portland limestone [46,47] and low-porosity carbonate rocks [48].The corrosion pH of marble and dense limestone is approximately 5.6.Therefore, slightly acidic precipitation leads to carbonate rock degradation, which is called the karst effect [49].Due to the increase in atmospheric CO 2 concentration caused by human activities and the subsequent further acidification of rainfall, the karst recession of carbonate rocks will increase.

Biodegradation
A change in humidity will affect the growth of microorganisms on stone and wood heritage materials, and an increase in relative humidity will aggravate the biological degradation of cultural heritage sites when the climate is warming [24,50].A long period of humidity increases the relative humidity and increases the water content in the materials.With increasing temperature, conditions conducive to various biological activities are created.The accumulation and decay of biomass from fungi, algae, molds, lichens and insects have led to the degradation of wooden historical buildings.The action of termites will lead to the collapse of wooden structures, and their range of activities may further expand to the north in the case of climate warming [24].
For a study area in the UK, Smith et al. [51] predicted that an increase in the risk of water infiltration into porous stones under wet conditions is conducive to the growth of algae, and the amount of algae biofilms on stone buildings will increase.This result is consistent with that of McCabe et al. [52].The mild marine climate of Galicia, Spain, which is similar to that of the United Kingdom, is therefore likely to experience similar effects.According to an experimental study, the composition of the biofilm may change, leading to faster stone degradation [53].For example, in the mild but humid climate of Northern Ireland, sandstone buildings in areas with high rainfall and water content are more vulnerable to biological pollution and stone decay.
Fungal attack is one of the main causes of wood degradation.Haugen and Mattsson [50] determined that temperature, air humidity and wood moisture content are the three main variables leading to biological degradation caused by fungi, molds and insects.Wood moisture content is affected by increased precipitation, storms and floods [54].With increasing temperature and humidity, wooden buildings in northern and eastern Europe and northwest of the British Isles will face greater risk of fungal attack.In Norway, it is predicted that the risk of decay of wooden historic buildings will increase [55].In contrast, the risk of fungal growth is expected to be low in southern and western Europe due to the expected dry conditions in the region.Changes in temperature and rainfall have changed the distribution and abundance of lichens and the richness of lichen species [56].

Comprehensive assessment of the climate risks of Spain's WCHS
Our analysis revealed that 10 WCHS in Spain have a freeze thaw cycle risk, among which Pyrénées-Mont Perdu has a much greater freeze thaw cycle risk than other WCHS due to its minimum temperature of the coldest month, which is much lower than 0 ℃, and the highest annual precipitation (Table S1).This cultural heritage site is located on the windward slope of high-altitude mountainous areas (Fig. 3).We quantitatively ranked the degree of thermal stress and thermoclastism on the Spanish WCHS (Table S2) and confirmed that the impact on Risco Caido and the Sacred Mountains of Gran Canaria Cultural Landscape, San Cristóbal de La Laguna and Tower of Hercules far exceeds that of other WCHS.The annual temperature range, mean daily range, and solar radiation in these areas are significantly high.Regarding hydrodynamic scoring effects, we found that Santiago de Compostela (Old Town) is at a much greater risk than other WCHS (Table S3).Due to its particularly high annual precipitation and high concentration of precipitation, hydraulic erosion caused by precipitation has become an important climatic pressure that this cultural heritage site needs to face.By evaluating the degree of corrosion and biodegradation scoring effects on the Spanish WCHS (Table S4), we found that Pyrénées, Mont Perdu, is at the highest risk and far exceeds other WCHS, which is closely related to its warm and humid climate conditions.Finally, based on the above climate condition risks, we identified the Spanish WCHS with the highest potential climate condition risks, including Santiago de Compostela and Pyrénées-Mont Perdu (Old Town) (Table 3).

Future qualitative assessment of the impact of local climate conditions on Spain's WCHS
The future climate is expected to impact the variables used in this study in a number of ways, which we discuss with reference to the well-known shared socioeconomic pathways framework [57].Under shared socioeconomic pathways (SSPs), climate change trends from global models are translated into qualitative trends to aid in understanding the impacts on society.Table 4 shows how the defined trends under each SSP are expected to influence the different variables used in the analysis.We predict that under SSP1-2.6, the climate potential risk for the Spanish WCHS The colors indicate a comparison of climate impact risk levels, which are divided into four levels of risk assessment based on numerical magnitude: > 3, 1-2, 0.1-1, and 0-0.1 will likely remain almost unchanged in the future (until ~ 2100).The multi-model ensemble mean temperature under SSP1-2.6 is projected to be significantly less than 2 °C by 2100, supporting research on the 2 °C warming target.This scenario represents a combination of low vulnerability, low mitigation pressure, and low radiative forcing [58].In this case, quantifying the future climate risk for the Spanish WCHS shows minimal changes, indicating that the climate potential risk will remain relatively stable.Therefore, energy efficiency and emissions reduction (i.e., carbon neutrality) are highly important for the preservation of WCHS [59].Furthermore, SSP2-4.5 represents a combination of medium socioeconomic vulnerability and medium radiative forcing, SSP3-7.0 represents high socioeconomic vulnerability and relatively high anthropogenic radiative forcing, and SSP5-8.5 is the only shared socioeconomic pathway that achieves an anthropogenic radiative forcing of 8.5 W/m 2 by 2100.These four SSPs form a gradient of socioeconomic vulnerability, and the perceived radiative forcing increases [57].We found a potential decline in the freeze-thaw cycle risk for the Spanish WCHS along this gradient, attributed to the increasing degree of climate warming associated with the four SSPs, resulting in a reduction in the annual temperature below 0 °C and a decrease in the number of freeze-thaw cycles in regions where the Spanish WCHS with a potential freeze-thaw cycle risk is located [60].However, we expected the risks of thermal stress, hydrodynamic scouring, corrosion, and biodegradation to increase under SSP2-4.5,SSP3-7.0, and SSP5-8.5, with the greatest increase observed under SSP5-8.5 (Table 4).Previous studies have predicted an increase of 70% in the persistence of heatwave events (frequency and duration) in Asian coastal regions under SSP2-4.5 and a 90% increase under SSP5-8.5,indicating significant increases in surface radiative forcing under different SSPs [61].Additionally, the comparison between scenarios revealed that SSP5-8.5 exhibited the largest future diurnal temperature range.Therefore, by qualitatively estimating the risk of heat cracking under future climate conditions, we can infer that the risk will increase the most under SSP5-8.5.Similarly, previous research has indicated future warm-humidization trends in Mediterranean coastal areas [62], along with increased frequencies of extreme heavy precipitation and floods [63].Hence, we predict a significant increase in the risks of hydrodynamic scouring, corrosion, and biodegradation under future climate conditions.
Recommendations to address the trends of future climate risks on Spain's WCHS i) Based on the findings of this study, the climate risk levels and inventory of the WCHS in Spain were classified.This classification considers the specific architectural structures and material properties of WCHS to categorize the efforts and funding allocations for risk prevention and protection.ii) Active participation and response to the European Green Deal are crucial for achieving the climate goals set by the EU's Paris Agreement for 2030.While this initiative is part of a comprehensive project to mitigate global warming [29], it also offers significant benefits for the protection of WCHS.In July 2021, the European Commission introduced the Renewable Energy Efficiency Directive as part of the European Green Deal.This directive reaffirms the EU's commitment to achieving energy independence, building confidence in reducing greenhouse gas emissions by 55% by 2030, and accelerating the deployment of renewable energy [30].On the one hand, this policy promotes the increased use of renewable energy.On the other hand, the provisional agreement introduces specific renewable energy development standards to reduce building energy consumption by 49% by 2030, presenting new challenges for the preservation of cultural heritage in the built environment.This is because indoor facilities or cultural heritage artifacts require a continuous energy supply to maintain appropriate temperature and humidity levels [31].In conclusion, the post-pandemic policies for protecting WCHS in Spain need to adapt further to local conditions based on the funding provided by the European Green Deal and Next Generation EU projects.iii) Physical and structural issues and recommendations for moisture-proofing and insulation in Spanish world cultural heritage buildings.In the field of cultural heritage architectural complexes, the most urgent interven- tion measure is to dismantle the steeples on the roofs of cultural heritage buildings.Currently, the wooden structures of these steeples are in very poor condition and serve as a source of biological infection that could cause the remaining healthy parts of the roof structure to collapse into the cultural heritage building [64].The reinforcement of the framework grid system of the roof structure and the ceiling structure of the nave might require strengthening the foundations of cultural heritage buildings.Cultural heritage buildings should provide insulation [65] and moisture-proofing [66].The use of insulation and moisture-proofing materials should not affect the historical qualities of cultural heritage buildings, specifically the area beneath the external wall cladding and the top of the ceiling.The cladding should be protected, including the removal of multiple paint layers and impregnation.Additionally, improvements in precipitation and groundwater clearance systems should be prioritized.The land surrounding cultural heritage buildings should be managed to guide water toward roads, rivers, or reservoirs.

Limitations of the study
This study has not investigated the attributes of cultural heritage itself, such as the proportion of porous structures in buildings, the proportion of wooden structures, the amount of marble used, or the length of time-specific sites.Moreover, this study does not address the impacts of climate change leading to sea level rise, changes in flood frequency, or the impacts of extreme meteorological events (i.e., extreme precipitation and extreme heat events).These topics could provide a promising focus for future studies.

Conclusion
World cultural heritage sites (WCHS) need to be managed and protected in different ways based on a systematic assessment of climate risks.The ongoing and worsening climate crisis is likely to expose WCHS to stressors that they may never have faced before due to the emergence of climatic extremes not previously known in human history.In this study, we address this urgent need for Spain, which has the second largest number of WCHS in the world (after Italy).Our main contribution has been to transform simple historical climate conditions into specific quantitative climate-related condition risks.Most of Spain's WCHS are architectural complexes that are widely distributed across various administrative regions (Fig. 1), climate zones (Fig. 2) and elevations (Fig.

Fig. 1
Fig. 1 Spatial and temporal distribution patterns of world cultural heritage in Spain.A Types and distribution of WCHS in Spain (showing WCHS classified according to UNESCO).B Number of WCHS in Spain by different administrative regions.C Temporal autocorrelation of the inscription dates of the Spanish WCHS.D Density of the WCHS of each state (data source: UNESCO World Heritage Centre-World Heritage List)

Fig. 4
Fig. 4 The timeline of WCHS in Spain.Representative photos of the Spanish World Heritage Convention (single photographs of the WCHS source from the Spain-UNESCO World Heritage Convention)

Table 1
WCHS in Spain

Table 1 (continued) WCHS Name Latitude Longitude Date of inscription Administrative area Type
searched for recent studies summarizing the mechanisms of direct and indirect impacts of climate change on cultural heritage in Europe to provide a theoretical basis for quantifying the impacts of climatic conditions on cultural heritage sites in Spain.At the same time, we used Spanish historical climate data (Appendix 1)

Table 3
Quantitative assessment of the impact of local climate conditions on the Spanish WCHS

Table 4
Qualitative projections of potential climate risk for WCHS in Spain under different social economic paths (SSPs) for future climatic conditions 3) throughout Spain.We integrated geographical data from different sources with recent historical climate data from Spain and reviewed the impact mechanism of climate conditions on cultural heritage.We quantitatively evaluated the extent to which Spanish WCHS were affected by local climate conditions from four aspects: freeze-thaw cycles, thermal cracking, fluid dynamics scoring, corrosion, and biodegradation.Based on the above climate condition risks, we identified five Spanish WCHS with the highest potential climate condition risks, including Santiago de Compostela (Old Town), Pyrénées-Mont Perdu, Roman Walls of Lugo, Routes of Santiago de Compostela: Camino Francés and Routes of Northern Spain, and Tower of Hercules.In terms of the climate conditions in which Spain's WCHS are located, Santiago de Compostela (Old Town) and Pyrénées-Mont Perdu are far more exposed to climate risks than other WCHS.Santiago de Compostela (Old Town) is most affected by hydrodynamic scoring, far exceeding other Spanish WCHS.The mean annual precipitation of the region where this WCHS is located is as high as 1670 mm, making it the region with the highest annual precipitation among all cultural heritage sites.The historical average precipitation during the wettest season is 657 mm, far exceeding that in other regions.Similarly, Pyrénées Mont Perdu is influenced mainly by freeze thaw cycles and corrosion and biodegradation, and its score far exceeds that of other WCSs.Furthermore, based on different shared socioeconomic pathways (SSPs), we qualitatively evaluated the climate risk changes for Spanish WCHS under climate change and found the lowest climate risk in the SSP1-2.6 scenario, emphasizing the importance of "carbon neutrality" for WCHS protection.The results of this study will contribute to a better understanding of the role of World Heritage sites in shaping Spain's identity, history, and culture and provide data for the management, protection, and promotion of the country's heritage.At the same time, we propose a methodology for the assessment of specific climate-related condition risks to cultural heritage, which is likely to be broadly relevant to other countries wishing to carry out similar assessments.