How Cool Are Allotment Gardens? A Case Study of Nocturnal Air Temperature Differences in Berlin, Germany

Urban green infrastructures have been extensively studied for their ability to mitigate the urban heat island (UHI) effect. However, allotment gardens (AGs)—a prominent type of urban green infrastructure within many European cities—have not yet been comprehensively investigated concerning their microclimates. In this study, nocturnal air temperatures (TN) in 13 AG complexes (AGCs) were measured during the summer of 2018 in Berlin, Germany. These were compared to measurements in densely built-up urban areas (URB), two large inner-city parks and rural areas (RUR). On average, the assessed AGCs were 2.7 K cooler at night than URB. Most of the investigated AGCs (11/13) displayed a larger mean TN difference to URB (∆TN AGC ) than the examined urban parks. RUR showed the largest differences to URB (∆TN RUR), indicating a UHI effect. Furthermore, the influence of land surface characteristics of the AGCs on ∆TN AGC was analyzed. ∆TN AGC decreased significantly as the floor space index around AGCs increased. The analysis of the shape complexity also produced a significant positive correlation with ∆TN AGC. In contrast, size and distance to the city center of an AGC decreased significantly with increasing ∆TN AGC. This study provides first insights into the microclimate of AGs and influencing variables concerning TN.


Introduction
The distinctive features of urban areas [1] result in an altered energy exchange compared to their rural surroundings. Urban areas are characterized by a lower albedo, higher thermal conductivity and higher heat capacities of building materials [2]. Further, they show reduced convective cooling, as well as lower evapotranspiration rates [2]. This leads to the well-studied phenomenon of the urban heat island (UHI) with generally higher air temperatures (T) in urban areas in comparison to the surrounding rural areas [2,3].
UHI intensity, defined as the difference in T between the city and the surrounding rural area, varies in time and space. It is influenced by seasons, time of day, meteorological, geographical and physical properties. This includes land use patterns, such as local climate zones (LCZs) [1,[4][5][6]. The UHI effect is especially prominent during nights with calm and clear weather conditions [7,8]. Under these conditions, the energy budget of the canopy layer can be simplified to be primarily determined by the outgoing longwave radiation [7,8]. The loss of longwave radiation from storage is strongly influenced by the sky view factor (SVF) and properties of the urban materials and vegetation [8][9][10]. Typically, large green spaces are found to mitigate the UHI effect at night [11]. In Germany, AGs originate from the "Armengärten" (gardens for the poor) at the beginning of the 19th century. Agricultural fields were divided into smaller plots in order to provide the poor population with areas for agricultural subsistence. A second root goes back to the orthopedist Schreber (1808-1861). He called for places where the ailing children of factory workers could play in the fresh air. After his death, the idea was put into practice with the creation of playgrounds surrounded by gardens, which later became AGs. In Berlin, the development of AGs was directly linked to the social problems of the growing industrial metropolis at the end of the 19th century. Unlike urban parks, the purpose of AGs was and still is the provision of food. Today, however, they are increasingly used for recreational purposes [34]. Social cohesion, local community building [35] and physical activity for the gardeners are other cultural ecosystem services (ESs) provided by AGs. Recent studies focus on additional ESs of AGs, such as the improvement of soil quality [31], water retention and prevention of erosion [36].
Therefore, AGs represent an important part of urban green infrastructure [37] and show differences to urban parks. They feature a greater diversity of plants, e.g., a higher percentage of annual vegetation and flowering shrubs and trees [38]. Further, they display more complex shapes and specific structures, such as vegetable beds and small garden sheds [39], leading to varying degrees of sealed soil. AGs provide habitats for plants and animals, thereby contributing widely to urban biodiversity [40]. The federal allotment garden law [41] stipulates the characteristics of AGs, e.g., tall trees are prohibited and one third of each garden plot must be covered by edible plants. Most AGs are located in complexes of several individual garden plots (e.g., as in Figure 1) along with communal facilities [41]. Typically, AGs are frequently irrigated. This could lead to increased cooling properties [26] since irrigated vegetation has lower surface temperatures than water-stressed vegetation [42]. Due to these characteristics, AGs may provide climate regulating ESs for the city similar to urban parks. However, there are far fewer studies regarding microclimatic properties and cooling potential of AGs compared to those of urban parks [31,32,43]. For example, Egerer et al. [27]  The intention of the present study is, to provide first insights into the microclimatic properties of AGs compared to surrounding built-up and rural areas at night. Previous research has demonstrated that the highest cooling effects of urban green infrastructure occur during night-time [19]. To address this, observational data of near-surface T was collected during the study's measurement campaign -in summer 2018-across multiple AGs throughout the urban area of Berlin. In particular, we address the following research questions:

1.
How does the mean nocturnal T of AGs differ from densely built-up areas (URB), urban parks and rural areas (RUR) in the study area? 2.
How and to what extent, do mean T differences between URB and AGs correlate with micro-scale land surface characteristics of AGs?

Study Area
Berlin, the capital and largest city of Germany by both area (891.1 km 2 ) and population (3,723,914 inhabitants) [44] is characterized by a maritime temperate climate (sub-zone Cfb), according to the Köppen climate classification [45,46]. Berlin's area is distinguished by vegetated areas (39%, including AGs), built-up areas (35%), areas for infrastructure and transport (20%) and water bodies (6%) [47]. AGs make up around 5% of the area of Berlin [9], covering 29.0 km 2 and comprising 71,473 Atmosphere 2020, 11, 500 4 of 23 garden plots as of May 2018 [33]. The size of AGs in Berlin ranges from 0.0002 km 2 to 1.1 km 2 [48]. An AG complex is defined as a combination of multiple individual gardens with communal facilities such as playgrounds, clubhouses and paths [41].

Selection of Measurement Sites and Land Surface Characteristics of AGs and Surroundings
In this study, we define one AG complex (AGC) as a spatially coherent entity of several garden plots. All AGCs that are less than 20 m apart from each other are considered as one AGC for the purpose of this study. We set a limit of 20 m to avoid the influence of traffic passing through the space, based on the mean street width of Berlin, which is approximately 20 m [49]. This produced a total number of 555 AGCs in the city of Berlin.
The land surface characteristics of size, distance to the city center (here, Alexanderplatz [9]), perimeter and edge-to-area ratio of each AGC were calculated. Additionally, the floor space index [50] and sealing [51] within AGCs and around them in a buffer of 500 m were determined. Table 1 gives an overview about all used land surface characteristics and their abbreviations. It also shows the mean values for all AGCs in Berlin and for those sampled during the measurement campaign. Detailed distributions of all AGCs in Berlin and the sampled AGCs for each land surface characteristic can be found in Appendix A. Compared to all AGCs in Berlin, the sampled AGCs are on average closer to the city center, larger in size, with lower shape complexity and more building development around them (Table 1).

Measurement Campaign
The measurement campaign was conducted from 31 July to 3 October 2018. A total of 39 measurement sites in 15 AGCs were sampled in close collaboration with the owners of the garden plots. The sampled AGCs were chosen based on their proximity to the geographical city center ALEX. Further, the aim was to analyze a variety of AGCs with different sizes, shape complexities and degrees of built-up area surrounding it. When selecting the measurement sites within the AGCs, the aim was to sample at different locations within each AGC (at least one nearer to the edge and one in Atmosphere 2020, 11, 500 5 of 23 the center). However, the final choice was limited by the willingness of the garden owners to cooperate. At each of the 39 measurement sites, T was measured by an Easy Log EL-USB-2 (resolution of 0.5 • C, specific device error of 0.5 K between 0-30 • C) at 10-min intervals (instantaneous values). Each logger was placed inside a radiation screen (white plastic, passive ventilation), tied to a metal pole 1.70 m above ground level and placed facing north. The SVF was calculated for each site from a fish-eye photo (taken at a height of 1.20 m in July with full foliage) using the software SOLWEIG 2015a 1D [52]. In order to make the measurement sites comparable, we only selected sites within garden plots with a SVF higher than 0.59. Throughout the measurement campaign, each logger was checked to ensure its proper functionality and to save the data. The raw data from the measurement sites is provided online [53].
To compare T from AGCs with other urban areas within Berlin and rural areas outside the city, seven additional measurement stations were selected, based on their LCZ [6]. The measurement stations for urban parks were Tiergarten as 'Park1' (2.1 km 2 , partly irrigated, dense trees; LCZ A) and the former airport Tempelhofer Feld as 'Park2' (3.0 km 2 , not irrigated, low plants; LCZ D). Park1 and Park2 were selected based on the availability of data and to cover different park types [4]. Both are the largest inner-city parks in Berlin. To characterize T of densely built-up areas in Berlin, three measurement stations were chosen: Alexanderplatz 'ALEX', Bamberger Straße 'BAMB' and Dessauer Straße 'DESS' (all compact midrise; LCZ 2, as in [4]). T data at these three stations was averaged to one synthetic time series referred to as 'URB'. Rural areas are represented in this study by the stations Kaniswall 'KANI' and Dahlemer Feld 'DAHF' (both scattered trees; LCZ B). T data at these two sites was also averaged into a synthetic time series, 'RUR', as in Fenner et al. [54]. The seven stations are maintained by the German Weather Service (DWD CDC [55]) and the Technische Universität Berlin as part of the Urban Climate Observation Network (UCON, [56]).

Data Preparation
Comparison measurements were conducted after the measurement campaign to evaluate the accuracy of the measurement devices (climate chamber experiment with temperature range: 0-30 °C, seven temperature levels at 5 K steps). The test showed that the devices were precise, relatively to their accuracy of 0.5 K. However, the exclusion of erroneous data series (see Appendix C) led to a final sample size of 35 measurement sites in 13 AGCs. This resulted in at least two measurement sites in each AGC. The AGCs were numbered consecutively according to their distance to the city center

Data Preparation
Comparison measurements were conducted after the measurement campaign to evaluate the accuracy of the measurement devices (climate chamber experiment with temperature range: 0-30 • C, seven temperature levels at 5 K steps). The test showed that the devices were precise, relatively to their accuracy of 0.5 K. However, the exclusion of erroneous data series (see Appendix C) led to a final sample size of 35 measurement sites in 13 AGCs. This resulted in at least two measurement sites in each AGC. The AGCs were numbered consecutively according to their distance to the city center ( Table 2). For the following analysis, night-time values from 0:00 a.m. (UTC + 1; several hours after sunset), to 4:00 a.m. (UTC + 1; before sunrise) were chosen. During these hours, micro-to local-scale T differences are pronounced in Berlin [4,54,56,57]. Further, calm and clear weather conditions facilitate the formation of typical local climate phenomena such as the UHI [6][7][8]58]. The measurement period was therefore stratified according to the following conditions, analogue to Quanz et al. [59]: mean cloud cover ≤ 3 octas, mean wind speed ≤ 3 m/s and no precipitation during the night-time interval and no precipitation during the previous day. The application of these thresholds resulted in six remaining nights (04/08; 07/08; 17/08; 20/08; 23/08; 30/09). Atmospheric conditions across the whole measurement period and the nights with calm and clear weather conditions are shown in Table 3. Table 3. Mean values of selected meteorological observations (source: German Weather Service DWD CDC [60]) during the measurement period (31 July to 3 October 2018), all nights (n = 66) and nights with calm and clear weather conditions (n = 6), T : air temperature. Furthermore, Figure 3 displays the weather conditions during the measurement campaign, which can be described as hot and dry with long hours of sunshine (mean T = 19.5 • C). Seasonal changes are visible.

Data Processing
The following data processing was conducted for all nights, including the six nights with calm and clear weather conditions. We computed the arithmetic mean for RUR, URB and AGCs across the respective multiple stations. Then, mean T for each night (T N ) was calculated. Missing values occurred from 1 August to 8 August 2018 at station DAHF. Therefore, only values at station KANI were used to represent RUR in this period. In order to test for significant differences in T N during all nights and the six selected nights, a Kruskal-Wallis Test [61] and a Dunn post-hoc test [62] were conducted for each AGC, Park1, Park2 and RUR. These non-parametric tests were used since the data are homoscedastic and not normally distributed for all stations during the nights with calm and clear weather conditions. Adjusted p-values were computed using the false discovery rate method according to Benjamini and Hochberg [63].
Atmosphere 2020, 11, 500 7 of 23 Furthermore, Figure 3 displays the weather conditions during the measurement campaign, which can be described as hot and dry with long hours of sunshine (mean = 19.5 °C). Seasonal changes are visible.

Data Processing
The following data processing was conducted for all nights, including the six nights with calm and clear weather conditions. We computed the arithmetic mean for RUR, URB and AGCs across the respective multiple stations. Then, mean for each night ( ) was calculated. Missing values occurred from 1 August to 8 August 2018 at station DAHF. Therefore, only values at station KANI were used to represent RUR in this period. In order to test for significant differences in during all nights and the six selected nights, a Kruskal-Wallis Test [61] and a Dunn post-hoc test [62] were Subsequently, the differences between URB and the other measurement stations (AGCs, both parks and RUR) were calculated. We applied the following Equation (1), where i represents all stations either each individual AGC, Park1, Park2 or RUR: Hereinafter, mean ∆T N i are labeled as ∆T N i . In order to address the second research question, multicollinearity between the calculated land surface characteristics (Table 1) was tested to identify the final selection of these characteristics. Accordingly, these five land surface characteristics were selected: shape complexity, size, FSI outside, distance to city center and sealing inside. Spearman's rank-order correlation tests between ∆T N AGC for each AGC and the aforementioned characteristics were carried out. This test is a nonparametric correlation test that uses the ranks of the data [64]. The correlation coefficient is hereinafter called r s . The significance level for all statistical tests was set at p ≤ 0.05.

Nocturnal Air Temperature Differences
Concerning the first research question, Figure 4 shows ∆T N i for each night, the average for nights with calm and clear weather conditions and all nights. ∆T N AGC of each individual AGC (∆T N AGCi ) can be compared to ∆T N Park1 , ∆T N Park2 and ∆T N RUR . All ∆T N AGC and ∆T N RUR are statistically significant across all nights (p ≤ 0.05), but not during nights with calm and clear weather conditions. On average, ∆T N AGC amounts to −2.7 K during all nights and to −2.6 K during nights with calm and clear weather conditions. ∆T N AGCi ranges from −3.7 K at AGC13 to −1.5 K at AGC2 during nights with calm and clear weather conditions and from −4.0 K at AGC11 to −1.6 K at AGC2 across all nights. During every single night ∆T N AGCi remained negative. In addition, two of the three AGCs with the shortest distances to the city center (AGC2 and AGC3) are also those with smallest ∆T N AGCi (−1.7 K to −1.5 K for calm and clear and all nights). Two AGCs with the largest distances to the city center Atmosphere 2020, 11, 500 8 of 23 (AGC11 and AGC13) are those with largest ∆T N AGCi (−3.6 K and −3.7 K for nights with calm and clear weather conditions; −4.0 K and −3.8 K for all nights). ∆T N AGC2 T N AGC3 ∆T N AGC6 and ∆T N AGC8 have the smallest ranges, as they do not exceed 4.0 K during nights with calm and clear weather conditions. ∆T N AGC11 and ∆T N AGC13 show the widest range, exceeding 4.9 K.
Atmosphere 2020, 11, x FOR PEER REVIEW 9 of 26 Figure 4. Mean air temperature differences to urban areas (URB) per night ( ) for all nights (boxplots, n = 66) and six nights with calm and clear weather conditions (blue diamonds) between URB and all allotment garden complexes (AGCs), rural areas (RUR) and both parks. Additionally, mean differences to URB ( ) during all nights are shown as black squares and as blue squares with a black outline for nights with calm and clear weather conditions. AGCs are sorted by of all nights. Boxes range from 1st to 3rd quartile (inter quartile range-IQR), median is denoted as black line, whiskers range up to minimum/maximum value (maximum 1.5 *IQR), values below/above that range are denoted as black points.
For nights with calm and clear weather conditions is larger than and , except and . Across all nights all are larger . The same applies to in comparison to , except and ( Figure 4). In contrast, none of the were lower than during nights with calm and clear weather conditions (−4.3 K) and during all nights (−4.6 K) ( Figure 4).
The four nights with the largest , thus coldest compared to URB, occur at RUR (−8.2 K to −9.1 K on 31/07, 30/09, 12/09 and 06/08). and are similar to each other. Their differ 0.1 K, unaffected by the analyzed time frames.
of URB during the whole measurement period was on average 17.4 °C across all nights. The nights with calm and clear weather conditions were slightly warmer with an average of 19.7 °C.

Correlation between Land Surface Characteristics and Nocturnal Air Temperature Differences
Figures 5 and 6 depict the results of the correlation analyses. For nights with calm and clear weather conditions, the land surface characteristics FSI outside, size, distance to city center and shape . Mean air temperature differences to urban areas (URB) per night (∆T N i ) for all nights (boxplots, n = 66) and six nights with calm and clear weather conditions (blue diamonds) between URB and all allotment garden complexes (AGCs), rural areas (RUR) and both parks. Additionally, mean differences to URB (∆T N i ) during all nights are shown as black squares and as blue squares with a black outline for nights with calm and clear weather conditions. AGCs are sorted by ∆T N AGC of all nights. Boxes range from 1st to 3rd quartile (inter quartile range-IQR), median is denoted as black line, whiskers range up to minimum/maximum value (maximum 1.5 *IQR), values below/above that range are denoted as black points.
For nights with calm and clear weather conditions ∆T N AGCi is larger than ∆T N Park1 and ∆T N Park2 , except ∆T N AGC2 and ∆T N AGC3 . Across all nights all ∆T N AGCi are larger ∆T N Park2 . The same applies to ∆T N AGCi in comparison to ∆T N Park1 , except ∆T N AGC2 and ∆T N AGC3 (Figure 4). In contrast, none of the ∆T N AGCi were lower than ∆T N RUR during nights with calm and clear weather conditions (−4.3 K) and during all nights (−4.6 K) (Figure 4).
The four nights with the largest ∆T Ni , thus coldest compared to URB, occur at RUR (−8.2 K to −9.1 K on 31/07, 30/09, 12/09 and 06/08). ∆T N Park1 and ∆T N Park2 are similar to each other. Their ∆T Ni differ 0.1 K, unaffected by the analyzed time frames.
T N of URB during the whole measurement period was on average 17.4 • C across all nights. The nights with calm and clear weather conditions were slightly warmer with an average T N of 19.7 • C.

Correlation between Land Surface Characteristics and Nocturnal Air Temperature Differences
Figures 5 and 6 depict the results of the correlation analyses. For nights with calm and clear weather conditions, the land surface characteristics FSI outside, size, distance to city center and shape complexity are all significantly (p ≤ 0.05) correlated with ∆T N AGCi . The correlation analysis for all nights produces insignificant correlations for all the characteristics, except for FSI outside (Figure 5b).  FSI outside shows a significant (p ≤ 0.05) positive correlation with of = 0.79 for nights with calm and clear weather conditions. The data for these nights suggests that a high FSI outside is accompanied by a small (Figure 5a). The highest FSI outside occurs at AGC6 and AGC3 with 1.9, followed by AGC2 with 1.8, which are the AGCs with small . AGC2 and AGC3 are the warmest AGCs of the sample group. AGC13 and AGC11, the AGCs with largest , have the lowest FSI outside with 0.2 and 0.3, respectively. Taking all nights into account (Figure 5b), between FSI outside and is lower than for the nights with calm and clear weather conditions.
Shape complexity shows a significant positive correlation with of = 0.55 for nights with calm and clear weather conditions. AGCs with a more complex shape, such as AGC2 and AGC3,   FSI outside shows a significant (p ≤ 0.05) positive correlation with of = 0.79 for nights with calm and clear weather conditions. The data for these nights suggests that a high FSI outside is accompanied by a small (Figure 5a). The highest FSI outside occurs at AGC6 and AGC3 with 1.9, followed by AGC2 with 1.8, which are the AGCs with small . AGC2 and AGC3 are the warmest AGCs of the sample group. AGC13 and AGC11, the AGCs with largest , have the lowest FSI outside with 0.2 and 0.3, respectively. Taking all nights into account (Figure 5b), between FSI outside and is lower than for the nights with calm and clear weather conditions.
Shape complexity shows a significant positive correlation with of = 0.55 for nights FSI outside shows a significant (p ≤ 0.05) positive correlation with ∆T N AGCi of r s = 0.79 for nights with calm and clear weather conditions. The data for these nights suggests that a high FSI outside is accompanied by a small ∆T N AGCi (Figure 5a). The highest FSI outside occurs at AGC6 and AGC3 with 1.9, followed by AGC2 with 1.8, which are the AGCs with small ∆T N AGCi . AGC2 and AGC3 are the warmest AGCs of the sample group. AGC13 and AGC11, the AGCs with largest ∆T N AGCi , have the lowest FSI outside with 0.2 and 0.3, respectively. Taking all nights into account (Figure 5b), r s between FSI outside and ∆T N AGCi is lower than r s for the nights with calm and clear weather conditions. Shape complexity shows a significant positive correlation with ∆T N AGCi of r s = 0.55 for nights with calm and clear weather conditions. AGCs with a more complex shape, such as AGC2 and AGC3, show smaller ∆T N AGCi (Figure 6a). The more complex the shape, the more space is adjacent to the surrounding built-up area. AGC1, AGC11, AGC12 and AGC13 represent the lowest complexity from 20 km −1 to 17 km −1 , with AGC11 and AGC13 representing the coolest AGCs. The analysis of size of AGCs and ∆T N AGCi results in a significant and strong negative correlation of r s = −0.63 for nights with calm and clear weather conditions. Larger AGCs show lower T N and so larger ∆T N AGCi . With 11 out of 13 sampled AGCs being smaller than 0.2 km 2 , the land surface characteristic size displays a narrow range of values with the distribution being positively skewed (Figure 6b). Yet, this corresponds to the size distribution of all AGCs in Berlin (Appendix A).
The correlation between distance to the city center and ∆T N AGCi also results in a significant and strong negative correlation (r s = −0.62) for nights with calm and clear weather conditions. Figure 6c shows that the further the distance to the city center, the larger the ∆T N AGCi and the cooler the AGCs.
There is no significant correlation found between sealing inside and ∆T N AGCi (Figure 6d). Sealing inside also shows the smallest correlation coefficient of all the tested land surface characteristics (r s = 0.23).

Nocturnal Air Temperature Differences between AGCs and URB
Significant differences for all AGCs and RUR to URB across all nights confirm an intra-urban variability of T N i . These differences could be caused by the high heat storage capacity of the buildings and materials of the urban fabric, which absorb heat during daytime and release heat during night-time. Additionally, a relatively high SVF, as in AGCs and the low heat storage capacity of plants, lowers T N [65,66]. Therefore, AGCs contribute to the variation of T N in urban areas. This result is in line with previous studies about urban parks [32,56]. ∆T N AGC of −2.7 K can be compared to the PCI effect, which is rarely below −3 K and can vary, as a study of Spronken-Smith and Oke [14] shows. Correspondingly, AGCs can be understood as small cool spaces of local T N minima inside the highly built-up city of Berlin.
PCI intensities increase in general from day to night [19]. In their review, Bowler et al. [16] showed that the average PCI is about 0.2 K higher at night than during daytime. Similarly, Fenner et al. [56] demonstrated that differences during the day-and night-time at Park1 compared to one of the rural sites (DAHF) are more pronounced during summer time than in winter time. An analogous effect could be expected for AGCs. Further investigations with data for longer time periods in several seasons, as well as during day and night are needed to confirm this hypothesis.
Another subject of research is the cooling ability of AGCs for their immediate surroundings, similar to investigations of the PCI effect and its range of influence [11,25,59,67]. Schlegelmilch [43] was able to demonstrate a cooling effect of AGC10 on its surroundings. However, the measurement setup of the current study does not allow a general statement about the cooling effect on the surroundings of AGCs. Therefore, future studies could perform detailed measurements in the surrounding areas of each AGC or use high-resolution numerical simulations with meso-scale models [68] or large-eddy simulations [69,70].
Even though the differences in T N for individual AGCs were not found to be statistically significant from URB during nights with calm and clear weather conditions, urban areas in Berlin are warmer than the sampled AGCs. Other studies about urban green infrastructure found that calm and dry weather enhances local effects and night-time UHI [14,25]. However, a large range in ∆T N was found for the selected six nights. Even under these relatively similar conditions, cooling processes still produce a high ∆T N variability.
The rain event in the measurement period of this study led to some of the smallest ∆T N AGCi . After the rain event, it is possible that all areas were able to provide evaporative cooling during the day, affecting their T N in a way similar to frequently irrigated AGCs.
To date, climatic studies concerning irrigation in AGCs and urban parks are few in number. Egerer et al. [27] found that irrigation was not a sufficient factor to predict T of AGs in their study. Non-representative interviews with the tenants of AGC plots in our study show that the amount and regularity of irrigation differs highly. It was not possible to quantify the amount of irrigation for each AGC during the measurement period. It would have required a representative and systematic survey of each tenant's irrigation habits or measuring the amount of water used for irrigation. This was beyond the scope of this study. However, acquisition of information about irrigation could be accomplished by future studies involving citizen science. Such efforts should be accompanied by measurements of, e.g., atmospheric humidity or latent heat fluxes to provide more insights into effects of evapotranspirative cooling within AGCs.

Nocturnal Air Temperature Differences between AGCs, Urban Parks and RUR
During the day, tall and densely planted trees are known as the main driver of vegetative cooling through shading and evapotranspiration [16,71]. However, at night trees store heat under their canopies and thus prevent exchange with cooler air masses [16]. Since there are few or no tall trees in the AGCs in Berlin, due to legal restrictions [41], ∆T N AGCi of at least 11 out of the 13 sampled AGCs is larger (during both calm and clear and all nights) than ∆T N Park1 . Park1 has a low SVF, due to dense and tall trees. Fenner et al. [56] showed similar outcomes for T N of Park1 compared to the rural station DAHF.
The former airport Park2, has only a few large trees and is dominated by grassland and old runways with a high SVF. Its vegetative structure resembles more the structure of AGCs than the one of Park1. Open park structures as in Park2 lead to a low heat storage capacity and should therefore result in high nocturnal cooling [2]. Quanz et al. [59] also show that Park2 has a cooling effect on its surroundings. It is therefore remarkable that almost all sampled AGCs, even very small ones such as AGC4 and AGC8, show larger ∆T N i than Park2 (Figure 4). Park 2 is more than three times larger than the largest AGC (AGC12, cf. Appendix B). Reasons for ∆T N i differences between Park2 and AGCs may lie in the varying degrees of maintenance, e.g., Park2 is rarely irrigated, whereas AGCs are frequently and intensively irrigated. This favors evapotranspirative cooling during the day, similar to urban gardens, as shown by Egerer et al. [27]. Increased evapotranspiration through irrigation around sunset can result in a higher cooling potential at night [19]. Moreover, Park2 is characterized by large asphalt areas and has a high FSI outside (see Appendix B), which could be one reason why ∆T N Park2 is smaller than ∆T N AGC [71,72]. Additionally, the position of its measurement station near the south edge of the park (around 200 m to its border) could enhance the effect of built-up surroundings on T Ni .
Furthermore, the large-scale UHI is more pronounced at both selected parks (mean of 3.0 K) due to their central location in Berlin (mean distance to city center 3.9 km, see Figure 2), than the one of the AGCs (mean of 1.8 K). AGCs are located on average 7.1 km away from the city center. Thus, in the hot and dry summer of 2018, higher T N occurred in both parks compared to the AGCs. Different percentages and varieties of vegetation cover, as well as the imperviousness and the intensity of irrigation may have all contributed to varied T N . This is confirmed by Edmondson et al. [36], Schwarz et al. [73] and Egerer et al. [27] for urban parks and urban gardens, respectively.
It is noteworthy that both parks differ only slightly in their ∆T N i , despite having different characteristics (dense trees vs. grassland; Appendix B). It seems that other factors overshadow the influence of the parks' characteristics.
The nocturnal UHI effect for the city of Berlin can clearly be observed in ∆T N of RUR (4.6 K across all nights). This is in line with previous studies for Berlin [4,56,59]. Due to the location and structure of the AGCs (e.g., higher FSI outside than rural areas), they are more influenced by the urban environment than RUR. This is demonstrated by the larger ∆T N RUR compared to the ∆T N AGC . Thus, we can conclude that T N of AGCs are influenced by their surrounding built-up areas ( Figure 5) and the large-scale nocturnal UHI of Berlin [4,56].

Land Surface Characteristics
The correlation analysis shows that all investigated land surface characteristics except sealing inside correlated significantly with ∆T N AGCi for nights with calm and clear weather conditions. While across all nights, only FSI outside resulted in a significant correlation with ∆T N AGCi .
FSI outside demonstrated the strongest correlation with ∆T N AGCi . As FSI outside decreases, ∆T N AGCi increases. Stored heat is emitted from sealed surfaces and built-up areas, impacting their surroundings, especially at night [74]. The influence of the surroundings on urban gardens was studied by Egerer et al. [27] and by Lin et al. [26]. They concluded that the surrounding environment had an influence on the gardens, i.e., UHI effects were more visible in gardens with densely built-up surroundings than in gardens with less built-up surroundings. The same effect of the surroundings on AGCs was found in the present study. Future studies could survey specific characteristics of the surroundings of AGCs more in detail, e.g., the height distribution, colors and materials of buildings.
Beside the built-up structure of the surroundings of AGCs, shape complexity correlated significantly with ∆T N AGCi for nights with calm and clear weather conditions. A more complex shape may lead to greater influence from the surrounding area, resulting in an increased T N . This is also stated by Lin et al. [26]. For urban parks in Berlin, Dugord et al. [9] found a similar result, using land surface temperatures. They state that large and complex-shaped forested spaces, as well as interconnected and spatially aggregated urban green spaces, greatly reduce night-time land surface temperatures. However, the comparison of land surface temperature with T is not trivial.
The land surface characteristic size showed a significant strong negative correlation with ∆T N AGCi during nights with calm and clear weather conditions. Several studies on urban parks found similar results [14,16,25]. However, other studies did not find a relationship between size and T N for urban parks [16]. Our analysis also shows that the largest investigated AGC (AGC12) is not the coolest AGC. This could be explained by its FSI outside, shape complexity, sealing inside or further characteristics which have not been examined yet.
The correlation between ∆T N AGCi and the distance to the city center was strong and negative. Therefore, the influence of the large-scale nocturnal UHI effect becomes visible. Dugord et al. [9] also found a negative correlation between the land surface temperature of urban areas and the distance to city center in Berlin (the same center as chosen for this study).
Sealing inside showed no significant correlation with ∆T N AGCi , suggesting that the degree of sealing within the AGCs does not have an influence on their T N . On a larger scale, it has been confirmed by many studies [42,[75][76][77]] that the higher the proportion of sealing and the lower the proportion of vegetation in a city, the more pronounced the UHI effect. However, in this study, the characteristic sealing inside may be overshadowed by previously discussed characteristics of AGCs. Additionally, not investigated characteristics, such as plant choices and types of vegetation management (e.g., degree of fertilizing or pruning) could be influential. Vieira et al. [71] also found that the type of management, plant choices and the structure of the vegetation have an influence on urban gardens' T. These possibly influential land surface characteristics were beyond the scope of this study and could be investigated in future studies.

Conclusions
The present study was carried out during two months of the summer of 2018 and analyzed 13 of 555 AGCs in Berlin. The study delivers findings on the effect of AGCs on the microclimate of Berlin. All AGCs analyzed were shown to be cooler than URB during calm, dry and cloudless nights, as well as across all nights, during the measurement period from July to October 2018. Furthermore, AGCs provide a climate regulating ES of night-time T reduction. The extent of this reduction is higher or at least the same as provided by large urban parks in Berlin. The cooling effect of AGCs may be comparable to the PCI effect.
This study shows that AGs, as a part of the urban green infrastructure of Berlin, not only serve as biodiversity hotspots [40] or places of social interaction [35], but also support the climatic regulation of the city. This should be considered by policy makers and urban planners, especially considering the declining number of AGs in Berlin. AGs could contribute to achieving the EU 2020 objective of reversing the loss of ESs [78].
The sampled AGCs show smaller ∆T N AGCi than the overall night-time UHI intensity of Berlin, i.e., ∆T N RUR . Hence, it can be assumed that they are influenced by the large-scale UHI of Berlin due to their location within built-up urban areas.
Moreover, AGCs are influenced by their micro-scale land surface characteristics. Given the significant correlation between ∆T N AGCi and FSI outside, it can be concluded that a high level of built-up density in the surroundings of an AGC is associated with a small ∆T N AGCi . This means that those AGCs show higher T Ni . Heat absorbed during the day by the built-up area is released during the night and influences AGCs in the immediate vicinity. Furthermore, the results of the correlation analysis show that ∆T N AGCi is positively influenced by the size and distance to the city center. This confirms results of previous studies about urban parks and urban gardens. The shape complexity of AGCs also correlates significantly with ∆T N AGCi , though this correlation is less strong. To summarize, the investigated AGCs are mainly influenced by the surrounding land surface characteristics. Characteristics of or within AGCs are still important but seem to have a minor impact on ∆T N AGCi .
In order to strengthen these initial findings about the influence of the examined land surface characteristics and about the general microclimatic behavior of AGCs, further investigations would be highly valuable. These investigations should include, e.g., a higher number of AGCs, other cities, measurements during daytime and different seasons, as well as an analysis of potential irrigation effects on evapotranspirative cooling.  Appendix B Table A1. Location and description of all measurement stations, mean night-time air temperature (T N ) and mean difference in night-time air temperature to URB (∆T N ) for all nights and nights of calm and clear weather conditions (selected). Sky view factor (SVF) values are spatial means for a 250 m radius from Fenner at al. [4]. Shape complexity: ratio between perimeter and size, FSI: floor space index, inside and outside: land surface characteristic of the AGCs themselves and in a 500-m buffer around each AGC, respectively, LCZ: local Climate Zone   Table A2. Location and description of all allotment garden complexes (AGCs), mean night-time air temperature (T N ) and mean difference in night-time air temperature to URB (∆T N ) for all nights and nights of calm and clear weather conditions (selected). Sky view factor (SVF) values for AGCs derived from fish-eye photos. Shape complexity: ratio between perimeter and size, FSI: floor space index, inside and outside: land surface characteristic of the AGCs themselves and in a 500-m buffer around each AGC, respectively.           Missing data: 21% Exclusion of Xa led to exclusion of AGCx, because the minimum number of two measurement stations per AGC was not provided.