Implementation of the Indoor Environmental Quality (IEQ) Model for the Assessment of a Retrofitted Historical Masonry Building

Achieving a satisfactory level for indoor environments of historical buildings is an ongoing problem that needs to be solved due to a large demand for deep retrofits in the whole of Europe. The implementation of the indoor environmental quality index (IEQ) to predict an occupant’s satisfaction in thermo-modernized historical buildings is a new concept which is a response to existing needs. In this article, a relevant study is provided with the intention to evaluate the indoor environmental performance of retrofitting effects in historical buildings dating back to the years 1873–1878. Considering the historical character of the buildings, some of the cellar spaces were fitted out with an innovative internal insulation system of mineral sheets based on calcium silicate to prevent water vapor condensation and effectively limit mold growth. The IEQ methodology was applied for retrofitted and non-retrofitted spaces as a comparison. Four essential components of indoor quality are investigated: thermal comfort, indoor air quality, acoustic comfort, and visual quality. The results of sub-component indexes are calculated based on the measured indoor parameters and the specific sensory functions. This paper discusses the results of an indoor environmental analysis including a mycological air quality assessment with the newly developed IAQindex (fungal air contamination index), total volatile organic compound concentration (TVOC), CO2, and formaldehyde (HCHO) assessment, the evaluation energy-related thermal comfort, acoustic, and visual quality, of modernized spaces. A questionnaire survey study was additionally carried out among a building’s users intentioned to compare the accounts of satisfaction before and after the retrofitting process and also to compare “subjective” results with the one’s based on in situ tests. The retrofitting approach was proven to be effective in limiting the presence of molds and a significant difference in indoor environmental quality between thermally insulated and uninsulated spaces was observed and discussed. Energies 2020, 13, 6051; doi:10.3390/en13226051 www.mdpi.com/journal/energies Energies 2020, 13, 6051 2 of 27

which is a basic component of IEQ for us. In the research [31], the authors observe the effects of a ventilation system for energy efficiency and indoor environmental quality in a renovated historical building as well the IEQ approach is addressed but only a limited number of environmental quality indicators is used. The results of indoor environmental quality testing mainly focused on humidity, the CO 2 concentration, PM10 concentration.
A review of a museum's indoor environment conditions studies and guidelines and their impact on the museum's artefacts and the energy consumption are provided in [32]. This review paper provides a rich guide of information in terms of a museum's indoor environments parameters. Part of the information on the moisture, humidity, and the presence of fungi in the air is somehow analogous to our case study of a historical building.
The interesting research that has been published in the field of our interest is [33]. The proposed energy performance indoor environmental quality retrofit approach is a methodology to assist building owners who consider refurbishment or retrofitting of their buildings. The methodology is implemented into a software tool which identifies the appropriate refurbishment or retrofitting actions taking into account energy and indoor environmental quality issues. Because the approach to environmental assessments has changed in recent years, due to the introduction of new standards [28,29], it is currently not possible to use this method in practice. Paper [34] illustrates the energy-saving potential and indoor environmental quality performance of a façade addition on existing and low energy performing buildings. Different technical solutions are proposed, and the IEQ indicators' simulation results are presented for the case of a students' building block of the 1980s located in Athens. Nevertheless, the proposed methods cannot be directly transferred to a historical building, where different aspects require attention.
Currently, there is no method in the literature to assess the modernization effects of a historic building insulated from the inside, and therefore the topic proposed complements and extends the use of the IEQ method for this purpose. This paper presents the results of on-site research performed in the indoor spaces of historical masonry building located in Cracow's historic city center. The building was built in the years 1873-1878 to house a military barracks. As mold growth had been observed in the cellars, it became necessary to conduct heavy modernization work. Due to the historical character of the buildings, an indoor thermal insulation system was applied. The indoor climate panels, apart from their thermal insulation properties, are to prevent water vapor condensation and, thanks to a highly basic environment, limit mold growth.
The main goal of the study is to present a practical guide for the indoor environment evaluation of a retrofitted historical building by using the IEQ modified model. The authors use a modified IEQ model to assess the impact of the modernization techniques used. The authors present the results of the air quality assessment (based on indoor objective measurements), including an evaluation of the mycological purity of air in terms of volatile substances (a new method), as well as studies concerning the assessment of the energy quality of the modernized spaces. Afterwards, the authors compare the effects of applying thermal insulation to the renovated spaces with test results for analogous spaces that were not modernized. Furthermore, to assess the indoor comfort a survey study was performed among the building occupants. The results obtained with the objective method are compared with the objective method based on the questionnaire.

Scope of Experimental Work
The study was aimed to assess the impact of the internal insulation system on the environmental quality of spaces. In the article, the authors considered the following main research issues: • Definition of boundary conditions for a method including case study definition with measurement strategy, equipment selection, determination of uncertainty.
Energies 2020, 13, 6051 5 of 27 • Measurements of indoor quality elements including air pollution; CO 2 , volatile organic compounds (VOCs), fungal contamination, thermal comfort parameters, acoustic measurements, and intensity of light. • Conversion of measured physical values to predicted user satisfaction levels based on specific sensory equations/models. In-depth mycological analysis of the object. • Assessment of the influence of applied thermal insulation system on the comfort parameters and environmental quality.

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Comparison of IEQ index results by vote (questionnaire) and measurement method.

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Discussion of the results.

Case-Study Building and Retrofitting Method
The case-study building of the Faculty of Environmental and Energy of the Cracow University of Technology (FEEE CUT) was built in the years 1872-1878, initially acting as a military barracks of the Austrian garrison within the complex of the Arch-Prince Rudolph Barracks of the Krakow Fortress. After the Second World War, the buildings were adapted for the purposes of the University. The analyzed building is a part of a complex of historical buildings ( Figure 1).

Case-Study Building and Retrofitting Method
The case-study building of the Faculty of Environmental and Energy of the Cracow University of Technology (FEEE CUT) was built in the years 1872-1878, initially acting as a military barracks of the Austrian garrison within the complex of the Arch-Prince Rudolph Barracks of the Krakow Fortress. After the Second World War, the buildings were adapted for the purposes of the University. The analyzed building is a part of a complex of historical buildings ( Figure 1). The external and internal walls are made of solid brick on a cement mortar, mainly 60cm thick with thermal conductivity value 1.05 (W/m 2 K). After a decision to adapt the cellar spaces for use as classrooms and gastronomical spaces, a technical audit was performed, which found a lack of a vertical damp proof course in the foundation walls, confirmed the presence of saltpeter rot in the plaster, mortar and bricks, and numerous instances of fungal colonies which found excellent conditions for growth due to the high damp level of the walls, an acidic base and positive temperatures. The project was co-funded by the Polish National Environmental Protection and Water Management Fund, as a part of the priority programme "Green Investment System"-energy management in public buildings. The scope of the energy retrofitting work for the building included the renovation of historical brick elevations and improving the thermal insulation of external partitions. The energy retrofitting of was performed by applying the Epatherm System (Figure 2), which-as stated by the manufacturer-prevents fungal growth, facilitates water vapor diffusion and has self-cleaning properties. This is of high significance considering the high yearly pollution indicators observed in Cracow. Declaration of the full system technical data is provided at http://www.epasit.pl/php/epatherm_lst.php. The main technical features of the plates are: persistent The external and internal walls are made of solid brick on a cement mortar, mainly 60cm thick with thermal conductivity value 1.05 (W/m 2 K). After a decision to adapt the cellar spaces for use as classrooms and gastronomical spaces, a technical audit was performed, which found a lack of a vertical damp proof course in the foundation walls, confirmed the presence of saltpeter rot in the plaster, mortar and bricks, and numerous instances of fungal colonies which found excellent conditions for growth due to the high damp level of the walls, an acidic base and positive temperatures. The project was co-funded by the Polish National Environmental Protection and Water Management Fund, as a part of the priority programme "Green Investment System"-energy management in public buildings. The scope of the energy retrofitting work for the building included the renovation of historical brick elevations and improving the thermal insulation of external partitions. The energy retrofitting of was performed by Energies 2020, 13, 6051 6 of 27 applying the Epatherm System (Figure 2), which-as stated by the manufacturer-prevents fungal growth, facilitates water vapor diffusion and has self-cleaning properties. This is of high significance considering the high yearly pollution indicators observed in Cracow. Declaration of the full system technical data is provided at http://www.epasit.pl/php/epatherm_lst.php. The main technical features of the plates are: persistent alkalinity at very high porosity and the ability to release excess moisture. System of lime-silicate boards with components (adhesive, putty, and paint) are characterized by resistance to changes in volume (no shrinking). The plates are able to absorb several times more water than its own weight, optimally equalizing the difference between temperature and air humidity, which is possible thanks to the low water vapor diffusion coefficient (µ = 3), moisture from the air does not condense on the surface of the walls, but is absorbed by the pores of the board and returned under appropriate conditions. The high alkalinity of the boards (pH = 12) does not allow for a fungal grow. Self-cleaning effect is declared due to the addition of titanium oxide. The water vapor permeability for the board itself is declared by manufacture as 3 (µ coefficient, see Table 1), for adhesive the manufacturer declared 8 ± 2. Some of the spaces on the upper floor of the building, which were in the best technical condition, were not subjected to energy retrofitting. The elements of the system applied have been presented in Figure 2.
Energies 2020, 13, x FOR PEER REVIEW 6 of 27 volume (no shrinking). The plates are able to absorb several times more water than its own weight, optimally equalizing the difference between temperature and air humidity, which is possible thanks to the low water vapor diffusion coefficient (µ = 3), moisture from the air does not condense on the surface of the walls, but is absorbed by the pores of the board and returned under appropriate conditions. The high alkalinity of the boards (pH = 12) does not allow for a fungal grow. Self-cleaning effect is declared due to the addition of titanium oxide. The water vapor permeability for the board itself is declared by manufacture as 3 (µ coefficient, see Table 1), for adhesive the manufacturer declared 8 ± 2. Some of the spaces on the upper floor of the building, which were in the best technical condition, were not subjected to energy retrofitting. The elements of the system applied have been presented in Figure 2.
Wall before thermo-modernization Wall after thermo-modernization  The building spaces of the cellar were subjected to energy retrofitting using the system (section B, Figure 3), while the spaces on the upper floor were not subjected to energy retrofitting (section A, Figure 3) as is presented on a demonstrative cross-section and photographs before, during and after the energy retrofit of selected cellar spaces, Figure 4. The value of the thermal coefficient U after thermal modernization of walls is 0.59 (W/m 2 K). Cross-section through a building wall; not insulated (left side) and insulated from inside with Epatherm system (right side). The lower figures show the vapor pressure charts, calculated using PN-EN ISO 13788: 2013-05 (where Ps-saturated vapor pressure, P-actual vapor pressure, location-Cracow, climatic data-average temperature and humidity for the coldest month).
The building spaces of the cellar were subjected to energy retrofitting using the system (section B, Figure 3), while the spaces on the upper floor were not subjected to energy retrofitting (section A, Figure 3) as is presented on a demonstrative cross-section and photographs before, during and after the energy retrofit of selected cellar spaces, Figure 4. The value of the thermal coefficient U after thermal modernization of walls is 0.59 (W/m 2 K). The renovation works began with the preparation of the substrate from the inside. The mold was removed from the surface of the walls and the substrate was cleaned of dust and dirt. The uneven, cleaned substrate was primed with an undercoat plaster and levelled with a renovation plaster. Climate panels were primed on both sides and pressed against the substrate with a layer of adhesive. At the joining of the sides, the plates engage. The surface of the boards is covered with vapor-permeable paint on the side. An implemented climate panel system is mainly composed of a white mineral insulation plate based on calcium silicate. It is a thermal-insulating material, resistant to pressure, soundproofing, non-flammable, and relatively easy to process. The system consists of components with similar and coordinating properties, such as a special adhesive with a biocide, primer and finishing coat. Due to the "moisture buffering effect", the system is intended to prevent the formation of mold inside the rooms. It also prevents dirt from accumulating as dust. The board regulates the indoor climate and prevents water condensation and the formation of mold indoors. Climate panels are used for thermal insulation of walls from the inside where it is impossible or difficult to use an external thermal insulation system. This system of climatic panels is especially used in historic buildings made of clinker bricks, sandstone, stone, in buildings with a "half-timbered" structure and with decorative façade elements. Thanks to good capillary activity and vapor permeability, the board automatically regulates the relative air humidity in rooms and maintains it at a constant level. The renovation works began with the preparation of the substrate from the inside. The mold was removed from the surface of the walls and the substrate was cleaned of dust and dirt. The uneven, cleaned substrate was primed with an undercoat plaster and levelled with a renovation plaster. Climate panels were primed on both sides and pressed against the substrate with a layer of adhesive. At the joining of the sides, the plates engage. The surface of the boards is covered with vapor-permeable paint on the side. An implemented climate panel system is mainly composed of a white mineral insulation plate based on calcium silicate. It is a thermal-insulating material, resistant to pressure, soundproofing, non-flammable, and relatively easy to process. The system consists of components with similar and coordinating properties, such as a special adhesive with a biocide, primer and finishing coat. Due to the "moisture buffering effect", the system is intended to prevent the formation of mold inside the rooms. It also prevents dirt from accumulating as dust. The board regulates the indoor climate and prevents water condensation and the formation of mold indoors. Climate panels are used for thermal insulation of walls from the inside where it is impossible or difficult to use an external thermal insulation system. This system of climatic panels is especially used in historic buildings made of clinker bricks, sandstone, stone, in buildings with a "half-timbered" structure and with decorative façade elements. Thanks to good capillary activity and vapor permeability, the board automatically regulates the relative air humidity in rooms and maintains it at a constant level.
As the boards are made of natural raw materials: sand and lime, the material is recommended for occupants suffering from allergies. Technical data of climatic plates are presented in Table 1.  As the boards are made of natural raw materials: sand and lime, the material is recommended for occupants suffering from allergies. Technical data of climatic plates are presented in Table 1. The analysis performed for the purposes of this paper involved a comparison of the microbiological purity of the walls and the indoor environment, as well as a comparison of the indoor microclimate for spaces subjected to energy retrofitting-in the Faculty of Environmental and Energy (section B) and the rooms that were not subjected to it-in the FEEE (section A). The FEEE building is mechanically ventilated. The air exchange during the measurement period was approx. 0.5. The buildings and spaces are heated with the installation of hot water heaters (see Figure 4), and the heat is supplied from the city's central heating system. Both systems were operating normally at the time of the analysis of the buildings. In addition, for the purposes of comparison, a portion of the tests were performed in the uninsulated spaces of the Faculty of Architecture due to the building being comparable, i.e., it was built in the same year and using the same technology as the FEEE CUT building, but was not subjected to energy retrofitting.  The analysis performed for the purposes of this paper involved a comparison of the microbiological purity of the walls and the indoor environment, as well as a comparison of the indoor microclimate for spaces subjected to energy retrofitting-in the Faculty of Environmental and Energy (section B) and the rooms that were not subjected to it-in the FEEE (section A). The FEEE building is mechanically ventilated. The air exchange during the measurement period was approx. 0.5. The buildings and spaces are heated with the installation of hot water heaters (see Figure 4), and the heat is supplied from the city's central heating system. Both systems were operating normally at the time of the analysis of the buildings. In addition, for the purposes of comparison, a portion of the tests were performed in the uninsulated spaces of the Faculty of Architecture due to the building being comparable, i.e., it was built in the same year and using the same technology as the FEEE CUT building, but was not subjected to energy retrofitting.

Indoor Environmental Quality Model and Sub-Elements
Index IEQ refers to the building's indoor environment quality considering the occupants' satisfaction level presented in 0-100% scale (as a percentage of users satisfied) in accordance to [35,36]. The percentage of satisfied users is determined by the means of the indoor measured environmental parameters and their specific sensory models implemented. The IEQ model is composed of four indoor comfort sub-indexes (also presented in a 0-100% scale): thermal comfort index TC index , indoor air quality index IAQ, acoustic comfort index ACc index and daylight comfort index L index [25]. The IEQ sub-model elements were justified in the following publications [25,37] where human perception sensory studies were applied. For objective physical indoor parameters, the corresponding sub-component indexes are calculated based on the perception models (Equations (3)- (10)). The reliability of the IEQ model was also analyzed in publication [37]. The authors use the IEQ model formula [25]; The each IEQ sub-element' SI i (predicted percentage of occupants' satisfied) is calculated from a specific Equations (3)-(10) using a conversion formula (from dissatisfaction level) (2) [25]: where PD is the predicted percentage of occupants dissatisfied (PD) and PD(SI i ) is the percentage of occupants dissatisfied with one of the four IEQ's elements (SI i ) and i is a number of IEQ sub-elements. The IEQ model (1) was previously used to evaluate office buildings and to evaluate a single-family building [35]. A model for a thermal performance index determination (first included IEQ's element) TC index is provided in the EN standards [34,35] and it takes into account the number of indoor environmental and user-oriented parameters: actual indoor air temperature t a ( • C), actual mean radiant temperature t mr ( • C), airspeed v a (m/s), water vapor partial pressure p v (P a ), the occupant metabolic rate M (W/m 2 ) or (met) and the clothing insulation value I cl (m 2 K/W)) or (clo). The predicted mean vote indicator PMV based on standard ISO-7730 is a reference to calculate dissatisfaction percentage (PD TC ). Provided in standards [38,39] method was validated for nearly zero energy buildings in [40] (4); The values of thermal comfort indexes PMV and PD are automatically determined and provided by a computer (logger) connected to the thermal parameters' sensors.
The second important element considered as a part of the IEQ model is the indoor air quality index IAQ index . Four main elements of indoor air quality are included by us: total volatile organic compound concentration (TVOC), formaldehyde concentration HCHO, carbon dioxide concentration CO 2 , and the concentration of fungal spores in the indoor air (FCU). These IAQ elements reflect the level of indoor pollution with the source of emissions from construction products, external air infiltration and biogenic pollution. For the element concerning the concentration of fungi spores in the air, presented new approach has never been used so far, and the authors believe that it is an extremely important element when assessing the thermo-modernization effect of retrofitting deeply damp walls and spaces of the historical buildings.
For the first considered element of IAQ sub-model (CO 2 ), a formula of PD = f(c CO2 ) is used based on the experimental dependence [25,41] (5); where ∆C CO2 is carbon concentration (ppm) above the outdoor level (a reference value of 350 ppm is recommended if not measured). CO 2 does not represent the other important sources of indoor air pollution, such as the emission of volatile compounds (VOCs) from the construction products and materials, fittings, and finishings. A function PD = f(c TVOC ) is applied to the IEQ, where a high level of VOCs may be detected (for example where new materials are used). The authors [42] provided a function of TVOC concentration C TVOC (in µg/m 3 ) concerning the percentage of dissatisfaction (6) that is implemented in the analyzed case study building [42]: The third included element considered in the IAQ index assessment is a formaldehyde HCHO indoor air concentration. The authors proposed the equation of PD = f(c HCHO ) and the authors implement it as well [43]: where c HCHO is HCHO indoor air concentration in mg/m 3 . The last considered (a newly proposed) element of the IAQ assessment is the indoor air contamination by fungi spores. Basing on a dozen reference documents (Table 2) [44][45][46][47][48][49][50][51][52][53][54][55][56][57][58] and scaling the impact levels recommended by these sources into the scale of 1-100% of user satisfaction, a basis for a user satisfaction determination was developed. Based on the [44][45][46][47][48][49][50][51][52][53][54][55][56][57][58], the theoretical function describing the number of dissatisfied users by the number of fungi spores in the air was developed as a logarithmic regression (R 2 = 0.86) applied considering Weber-Fechner theory [59] ( Figure 5).
The obtained regression of PD = f(c FCU ) has a formula: where C FCU is indoor air fungi spore concentration in FCU/m 3 . The authors use the ΣIAQ function (8) enabling the aggregation of indoor air quality sub-elements to determine the overall satisfaction of users with air quality. The weights of the ΣIAQ elements were determined in accordance with the multi attribute decision making (MADM) method recommended in the publication [60]. The equation for ΣIEQ takes the specific form for our case study where fungi contamination is a high impact element: Based on the [44][45][46][47][48][49][50][51][52][53][54][55][56][57][58], the theoretical function describing the number of dissatisfied users by the number of fungi spores in the air was developed as a logarithmic regression (R 2 = 0.86) applied considering Weber-Fechner theory [59] (Figure 5). A model of acoustic dissatisfaction is also adopted. Some authors suggested using the Australian Standard based approach [17,25] that allows the assessment of the increase in the percentage of occupants dissatisfied with a noise level (PD ACc ) by an increase in the A-weighted noise level LA eq beyond design or recommended value. Weber-Fechner's law, which we honor, assumes that the change in human perception is logarithmic in relation to the stimulus (sound) intensity, so the function of the relationship between the two logarithmic variables gives the linear relationship. The relationship of the increase of PD with the change in noise level beyond the recommended value to the equivalent measured sound levels (A), LA eq is [61] (9) is described by a function (9) [25,61]: PD Acc = 2·(LAeq _ measured sound level -LA eq _ recommended sound level ) (9) and the result is the predicted percentage of sound level dissatisfied occupants in a 0-100% scale. The relationship between measured daylight illuminance E min [lux] and the percentage of people dissatisfied with a daylight level is calculated using Equation (10) [62]:

Thermal Comfort Measurement
Thermal indoor measurements were done in the FEEE building using a microclimate multi-functional instrument AHLBORN with a digital ALMEMO D6 (made in Germany). The method is based on ISO 7726 [38] and ISO 7730 [39]. The measured indoor parameters were t a -actual indoor air temperature, t g -temperature of blackened globe by heat radiation sensor, t nw -wet-bulb temperature, RH-relative air humidity, and v a -airflow speed. Measurements of physical parameters by an instrument are necessary to determine PMV and PD value. Tests were done at a height of 160 cm. The frequency of data collection was every 0.5 h over winter and summer test periods. The technical data of detection sensors are presented in Table 3.
The uncertainty of PD TC determination using the measurement method is 3.2% [37]. Additionally, the tests of thermal performance of retrofitted and un-retrofitted walls were done by a FLIR E50 thermal imaging camera and presented in a result section (January 2020). The temperature reading scope of the camera ranges between −20 • C and 650 • C with a resolution of 240 × 180, 60 Hz. The measurement was made based on the standard EN 13,187 [33]. The air quality assessment includes an analysis of the basic elements of air quality plus fungal contamination. The microbiological air quality study was performed using the aspiration method. This method employed Sabouraud Glucose Agar (SGA) (BioMaxima, Made in Poland) and Rose Bengal Agar (RBA) (BioMaxima) mycological mediums. Air samples were collected using the impact method by employing the MAS 100 Air Sampler (Merck) with an air aspiration of 200 l and sampling performed at the center of the spaces at a height of 1.3 m above the floor surface [27]. The collected samples were incubated for seven days in media at a temperature of 27 • C in laboratory incubators. After three days of incubation, the number of microfungus colonies was noted. Microfungus species identification was performed using microscopic methods based on available identification keys [28,29]. Qualitative testing for fungal infestation of wall surfaces of the analyzed six spaces was also performed. Swabs were taken of plaster fragments and other finishes in various locations on the walls in the spaces under study. The biological material was then deposited in a Sabouraud Glucose Agar (SGA) and a Rose Bengal Agar (RBA) biological medium. The samples were stored in laboratory incubators at a temperature of 27 • C. Identification was performed using microscopic fungal identification keys accounting for the colony morphology and sporulation structures of the isolated species.
The air quality tests of indoor air volatile organic compounds (VOCs) concentration levels were performed in accordance with the PB5/K3.2/MCBE procedure formulated by the Lesser Poland Center for Energy-Efficient Construction. The air quality test was intended to determine the presence and level of total volatile organic compounds VOCs using photoionization detector PID. Measurements were performed using the VelociCalc Model 9565 device. Digital CO 2 sensor FYAD00 with integrated signal processor was used (Table 4). IAQ tests were done in one research session (10-13 January 2020).

Sound Level Tests
The tests were conducted according to the national standard PN-87/B-02,156 Building acoustics-Methods for measuring the A sound level in buildings [63]. The most unfavorable 8 h sound levels A in rooms intended for human dwelling. Acoustic comfort was determined in one research test: in winter (13.01.2020). The external sound level values necessary to determine the recommended values in the FEEE spaces were taken from the acoustic interactive map of noise available at https://umk-gd.maps.arcgis.com. Additional measurement conditions were doors and windows were closed during noise measurement and only two people were allowed in the room. Other noise sources were limited in the tested rooms. Measurement points were 1.2 m above the floor. The minimum distance from the walls were 1 m, from the windows 2.0 m. The microphone were placed at a distance greater than 1 m from the operator. Number of measurement points was 3.

Visual Comfort Test
The daylight illumination level E min (lux) was measured by the instrument MAVOLUX 5032C with sensor 3C15683 in accordance with the standard EN 12,464 [64]. The light intensity measurements were conducted in the daytime (13 January 2020 and 16 September 2020, 10:00-16:00).

Subjective Indoor Comfort test by Questionnaire-Vote Assessment
Additionally, in order to confirm the results resulting from the IEQ model based on provided indoor measurements, a test of the level of satisfaction of teaching staff in the analyzed FEEE spaces was conducted by the subjective "vote" method. The purpose of this test was to approximately confirm the values obtained with the objective IEQ index. The study of the comfort of using the rooms by employees was conducted using the survey method. The respondents (n = 12; age, sex: 48 K, 48 M, 68 M, 63 M, 47 M, 50 K, 52 M, 49 K, 53 K, 54 M, 47 K, 50 K, white Caucasian type) were asked to rate on a five-point scale (1-5 scale, where 1-low (bad), and 5-high (good)) the following parameters related to the comfort of using the room (currently, after the wall insulation process): visual (daylight comfort); respiratory comfort (how to breathe, air quality); acoustic comfort (silencing the room); and thermal comfort (thermal). The respondents were also asked to evaluate the same parameters on the same scales, but for the situation before retrofitting. The last question was whether the user noticed any problems with mold growth after insulation and if so what? The guideline [29] on the assessment of the social properties of buildings were used, in which, within the group of health and comfort requirements, the following issues are listed: thermal comfort, indoor air quality characteristics, acoustic characteristics, visual comfort and spatial features. In the case of rooms that were insulated, the respondents were employees of the Cracow University of Technology who conduct teaching in the laboratory located in the basement of the case study object. Vote assessment considered the user's comfort perception before and after retrofitting process in the spaces. People who took part in the study are considered as experts, they are the employees who most often stay in the laboratory space, conducting didactic activities and are able to make a reliable assessment. The results obtained on a 5-point scale were converted to a percentage scale of increase of comfort (after the retrofit process) to compare it with the IEQ objective method.

Limitations and Assumptions of the Adopted Method
The presented results refer to two samples of test periods (3 days in January, 8 days in September 2020). These periods may be considered as potentially representative (winter/summer) and selected to approximate the behavior of the indoor environment of a case study building. Some of the measurements made in winter were not repeated in the summer, including air pollution level TVOC and fungal spores, and sound level tests. It was assumed that the values shown in winter should not significantly differ from those in summer. In the context of TVOC concentration, in the absence of evident sources of indoor emission of VOCs (construction materials), and with similar parameters of temperature and humidity inside, the level of TVOC pollution should be at a similar constant and low level in summer and winter. The background TVOC level from street pollution for the same traffic density should also not be significantly different. In the context of the analysis of the concentration of the number of fungal spores in the air, we believe that after thermal insulation, the sources of fungal spores were eliminated and there was no need to re-test in the summer. Thus, we believe that a low concentration level in winter would be similar in summer. In the context of a building space that is not retrofitted and has serious problems with fungi contamination on the walls, the season of the year may have some significance and influence on their number. Nevertheless, authors do not really focus on this issue. The spore levels in both seasons would be similarly high.
TVOC measurements were made with a PID sensor having a significantly greater measurement uncertainty than the gas chromatography normally used in IAQ studies. It is also assumed that in winter the heat output of the radiators was constant over time and that the conditions inside the rooms were quasi-stable at the time of tests. Measurements were made in modernized and adequately non-modernized spaces, so the authors assume that the boundary conditions at the time of measurement for these two types of spaces were consistent. Assuming the variability of factors that may have had an indirect impact on the result, the authors assume that the expanded uncertainty for the IEQ calculations is 20%.

Overall IEQ Index (Measurement Method) and Values of Comfort Sub-Component Indexes
In this section, the experimental results of indoor environmental assessments of a case study building spaces are provided according to the IEQ model presented in the Method section. Table 5 shows the measurement results essential to calculate IEQ sub-element indexes in the non-retrofitted and retrofitted spaces assessed in Winter (January 2020) and Summer (September 2020). Table 5 shows the averaged values for the entire test periods. Table 5. Results of measured indoor environment parameters (inputs to IEQ sub-components calculation) in non-retrofitted spaces and retrofitted and averaged values for winter (10-13 January 2020) and summer (16-22 September 2020).  The measured indoor environmental parameters (Table 5) were used as the input values to Equations (3)-(10) to determine all IEQ sub-component indexes (Table 6) The overall IEQ index for case study building calculated in accordance to Equation (10) is also presented in Table 6, both for non-retrofitted and retrofitted spaces.

Microbiological Results
When analyzing the results of air quality tests, a varied number of spores per indoor air m 3 was observed. The summary results of airborne spore concentration tests in the spaces under study have been presented in Table 7. Significant differences in spore concentrations in different mediums were also observed. The lowest number of spores (5 CFU/m 3 ) was observed in one energy-retrofitted room in the cellar while using the RBA medium, whereas, for the SGA medium, the spore count was 25 CFU/m 3 . The highest spore concentrations regardless of medium were observed in one upper-floor space that was not energy-retrofitted ( Figure 6).

Microbiological Results
When analyzing the results of air quality tests, a varied number of spores per indoor air m 3 was observed. The summary results of airborne spore concentration tests in the spaces under study have been presented in Table 7. Significant differences in spore concentrations in different mediums were also observed. The lowest number of spores (5 CFU/m 3 ) was observed in one energy-retrofitted room in the cellar while using the RBA medium, whereas, for the SGA medium, the spore count was 25 CFU/m 3 . The highest spore concentrations regardless of medium were observed in one upper-floor space that was not energy-retrofitted ( Figure 6). In the RBA medium, a count of 1880 CFU/m 3 was observed, while for SGA, the spore count was 1560 CFU/m 3 (Table 7). Despite the higher number of airborne spores present in this room, the spore concentration does not exceed acceptable levels found in recommendations as to permissible airborne fungal spore concentrations in residential and office spaces [44].   In the RBA medium, a count of 1880 CFU/m 3 was observed, while for SGA, the spore count was 1560 CFU/m 3 (Table 7). Despite the higher number of airborne spores present in this room, the spore concentration does not exceed acceptable levels found in recommendations as to permissible airborne fungal spore concentrations in residential and office spaces [44]. The qualitative analyses of the collected air samples also showed considerable diversity in terms of the species of present microfungi, which varied from to room to room and depending on the mycological medium used. The percentage share of identified mold species in each room has been presented in Figures 7 and 8. In the SGA medium, all samples showed the presence of Penicillium sp., ranging between 43 and 100%. In terms of the highest colony numbers observed in No. 1 and 2 non-energy-retrofitted spaces on the upper floor, as many as 100% of the identified colonies belonged to the Penicillium spp. The qualitative assessments of other spaces showed the dominance of molds typical of residential and office spaces from the species Aspergillus spp., Chaetomium sp., Sporotrichum sp., Cladosporium sp. and Trichoderma sp., which were observed in general spore count ranges of between 4 and 50% (depending on the room). These fungus species are considered to be common allergens. Furthermore, fungus species such as Penicillium spp. and Aspergillus spp. are considered to be mold species belonging to the second risk group-factors that can be harmful to humans. The Aspergillus fungi present in the spaces are considered allergenic and toxic factors (Aspergillus versicolor) and can cause contagious and invasive diseases (Aspergillus niger) [65]. The measurements performed after the application of the investigated materials showed that after prolonged Epatherm panel use, the microclimatic and microbiological conditions of rooms were good (below permissible levels). No observable mold growth was found in the room. The visible damage to the paint layer in the corridor did not have a mycological cause. sp., Cladosporium sp. and Trichoderma sp., which were observed in general spore count ranges of between 4 and 50% (depending on the room). These fungus species are considered to be common allergens. Furthermore, fungus species such as Penicillium spp. and Aspergillus spp. are considered to be mold species belonging to the second risk group-factors that can be harmful to humans. The Aspergillus fungi present in the spaces are considered allergenic and toxic factors (Aspergillus versicolor) and can cause contagious and invasive diseases (Aspergillus niger) [65]. The measurements performed after the application of the investigated materials showed that after prolonged Epatherm panel use, the microclimatic and microbiological conditions of rooms were good (below permissible levels). No observable mold growth was found in the room. The visible damage to the paint layer in the corridor did not have a mycological cause.
Considering the presence of microfungi on the surfaces of partitions, the authors observed differences arising from the type of medium used. The results of testing swabs collected from the surfaces of each room have been presented in Table 8.    - "++"-considerable colony growth; "+"-growth of individual colonies; "-"-no fungal growth.
The richest species composition of the isolated fungi was observed in the uninsulated rooms of the FA. The presence of molds and their species composition can be associated with the form of use of this space and the materials stored there (paper magazines, student projects and assignments). The Chaetomium sp. fungi isolated in this space are characterized by cellulolytic activity. The growth of Aspergillus versicolor 76.9%, Penicillium sp. 15.4%, Chaetomium sp. 7.7% was observed in an RBA medium. The growth observed in the SGA medium was as follows: Aspergillus versicolor 50%, Aspergillus ochraceus 25%, Penicillium sp. 16.7%, and Chaetomium sp. 8.3%. Singular microfungus species were observed in the remaining rooms. No fungus presence was detected on partition surfaces in rooms three (insulated cellar) and three (uninsulated upper floor). Considering that room three located in the uninsulated section of the building is used as an office where people are often present, it can be assumed that it is vented often, which affects the result. Based on data presented in Table 8, it can be concluded that only singular, trace amounts of microfungus colonies appeared on the wall surfaces insulated with the Epatherm System. Their presence can be caused by various factors, such as the presence of plants in the room (point 1, Figure 9). These fungus colonies can come from the soil.  Considering the presence of microfungi on the surfaces of partitions, the authors observed differences arising from the type of medium used. The results of testing swabs collected from the surfaces of each room have been presented in Table 8.
The richest species composition of the isolated fungi was observed in the uninsulated rooms of the FA. The presence of molds and their species composition can be associated with the form of use of this space and the materials stored there (paper magazines, student projects and assignments). The Chaetomium sp. fungi isolated in this space are characterized by cellulolytic activity. The growth of Aspergillus versicolor 76.9%, Penicillium sp. 15.4%, Chaetomium sp. 7.7% was observed in an RBA medium. The growth observed in the SGA medium was as follows: Aspergillus versicolor 50%, Aspergillus ochraceus 25%, Penicillium sp. 16.7%, and Chaetomium sp. 8.3%. Singular microfungus species were observed in the remaining rooms. No fungus presence was detected on partition surfaces in rooms three (insulated cellar) and three (uninsulated upper floor). Considering that room three located in the uninsulated section of the building is used as an office where people are often present, it can be assumed that it is vented often, which affects the result. Based on data presented in Table 8, it can be concluded that only singular, trace amounts of microfungus colonies appeared on the wall surfaces insulated with the Epatherm System. Their presence can be caused by various factors, such as the presence of plants in the room (point 1, Figure 9). These fungus colonies can come from the soil.  Table 9 presents the results of volatile organic compound measurements performed in the rooms where the internal thermal insulation system had been applied, while Tables 10 and 11 present the results for rooms that were not subjected to energy retrofitting. The study showed higher overall VOC levels by as much as 60% in the uninsulated spaces on the upper floor (FEEE building) and an over 10% increase in uninsulated cellar spaces (FA) relative to insulated cellar spaces (FEEE). The results suggest a significant decrease in VOC levels in spaces where the thermal insulation panels were applied. However, there is no certainty whether this decrease was caused by a reduction in pollutant emission from the construction materials or elimination of metabolic VOCs from fungal wall degradation [66]. The relative surface humidity test indicated that spaces insulated with the Epatherm climate panels showed lower surface humidity.   Table 11. Average VOC values for rooms that were not subjected to energy retrofitting with the use of the Epatherm internal thermal insulation system (FA CUT).  Table 9 presents the results of volatile organic compound measurements performed in the rooms where the internal thermal insulation system had been applied, while Tables 10 and 11 present the results for rooms that were not subjected to energy retrofitting. The study showed higher overall VOC levels by as much as 60% in the uninsulated spaces on the upper floor (FEEE building) and an over 10% increase in uninsulated cellar spaces (FA) relative to insulated cellar spaces (FEEE). The results suggest a significant decrease in VOC levels in spaces where the thermal insulation panels were applied. However, there is no certainty whether this decrease was caused by a reduction in pollutant emission from the construction materials or elimination of metabolic VOCs from fungal wall degradation [66]. The relative surface humidity test indicated that spaces insulated with the Epatherm climate panels showed lower surface humidity.

Thermal Comfort Testing Results
The outdoor temperatures during the measuring summer period ranged from 10 • C at night to a maximum of 30 • C during the day. In Figure 10, the authors provided the results of the percentage of dissatisfied with thermal comfort PD (in %) in the space of case study building where the thermal modernization was performed (blue line) and in the space where without retrofitting process (red line) during the summer period (16-22 September 2020).

Thermal Comfort Testing Results
The outdoor temperatures during the measuring summer period ranged from 10 °C at night to a maximum of 30 °C during the day. In Figure 10, the authors provided the results of the percentage of dissatisfied with thermal comfort PD (in %) in the space of case study building where the thermal modernization was performed (blue line) and in the space where without retrofitting process (red line) during the summer period (16-22 September 2020). As shown, the thermal modernization of the indoor walls caused a potential increase in the number of occupants satisfied with the thermal comfort after modernization by approx. 20%. Figure  11 presents a chart of thermal comfort values: PMV (-) and PD (%) for a space that was subjected to energy retrofitting using the Epatherm System in a winter period.    As shown, the thermal modernization of the indoor walls caused a potential increase in the number of occupants satisfied with the thermal comfort after modernization by approx. 20%. Figure 11 presents a chart of thermal comfort values: PMV (-) and PD (%) for a space that was subjected to energy retrofitting using the Epatherm System in a winter period.

Thermal Comfort Testing Results
The outdoor temperatures during the measuring summer period ranged from 10 °C at night to a maximum of 30 °C during the day. In Figure 10, the authors provided the results of the percentage of dissatisfied with thermal comfort PD (in %) in the space of case study building where the thermal modernization was performed (blue line) and in the space where without retrofitting process (red line) during the summer period (16-22 September 2020). As shown, the thermal modernization of the indoor walls caused a potential increase in the number of occupants satisfied with the thermal comfort after modernization by approx. 20%. Figure  11 presents a chart of thermal comfort values: PMV (-) and PD (%) for a space that was subjected to energy retrofitting using the Epatherm System in a winter period.    The application of the thermal insulation system under study also found a visual aspect ( Figure 12). The uninsulated space has watermarks, particularly in the areas of geometric bridges (corners), while insulated space maintains an aesthetically pleasing appearance without watermarks or spots. This is also evidence of a lack of mold and fungus growth on the internal surfaces of external walls. The change in the wall radiation temperature directly translates into an increase in the comfort of occupants.
Energies 2020, 13, x FOR PEER REVIEW 20 of 27 The application of the thermal insulation system under study also found a visual aspect ( Figure  12). The uninsulated space has watermarks, particularly in the areas of geometric bridges (corners), while insulated space maintains an aesthetically pleasing appearance without watermarks or spots. This is also evidence of a lack of mold and fungus growth on the internal surfaces of external walls. The change in the wall radiation temperature directly translates into an increase in the comfort of occupants.
(a) (b) Figure 12. Thermogram of the cellar space subjected to wall insulation application (a), thermogram of the cellar space without wall insulation (b) (winter period). Figure 13 shows the comfort perception results by occupants of the cellar spaces before and after the energy retrofitting and the comfort of use of other, uninsulated spaces, as reported in a survey study performed among research staff. The subjective assessment was made on a five-point scale (n = 12). Concerning the vote of the users of the spaces that were energy-retrofitted-the cellar spaces assigned for use as didactic laboratories-a considerable improvement across almost all comfort parameters was observed in these spaces when compared to the conditions before the application of thermal insulation (Figure 13). After energy-retrofitting, the thermal comfort level was rated the highest (a rating of 4-"good", +32.5% change), with acoustic and IAQ comforts rated lower (a rating of 3.5, +12.5%, and 37.5% changes, respectively). Before the energy retrofit, the lowest rating (2) was

Results
Concerning the Comfort of Use by Questionnaire (Vote) Method Figure 13 shows the comfort perception results by occupants of the cellar spaces before and after the energy retrofitting and the comfort of use of other, uninsulated spaces, as reported in a survey study performed among research staff. The subjective assessment was made on a five-point scale (n = 12).
Energies 2020, 13, x FOR PEER REVIEW 20 of 27 The application of the thermal insulation system under study also found a visual aspect ( Figure  12). The uninsulated space has watermarks, particularly in the areas of geometric bridges (corners), while insulated space maintains an aesthetically pleasing appearance without watermarks or spots. This is also evidence of a lack of mold and fungus growth on the internal surfaces of external walls. The change in the wall radiation temperature directly translates into an increase in the comfort of occupants.
(a) (b) Figure 12. Thermogram of the cellar space subjected to wall insulation application (a), thermogram of the cellar space without wall insulation (b) (winter period). Figure 13 shows the comfort perception results by occupants of the cellar spaces before and after the energy retrofitting and the comfort of use of other, uninsulated spaces, as reported in a survey study performed among research staff. The subjective assessment was made on a five-point scale (n = 12). Concerning the vote of the users of the spaces that were energy-retrofitted-the cellar spaces assigned for use as didactic laboratories-a considerable improvement across almost all comfort parameters was observed in these spaces when compared to the conditions before the application of thermal insulation (Figure 13). After energy-retrofitting, the thermal comfort level was rated the highest (a rating of 4-"good", +32.5% change), with acoustic and IAQ comforts rated lower (a rating of 3.5, +12.5%, and 37.5% changes, respectively). Before the energy retrofit, the lowest rating (2) was  Concerning the vote of the users of the spaces that were energy-retrofitted-the cellar spaces assigned for use as didactic laboratories-a considerable improvement across almost all comfort parameters was observed in these spaces when compared to the conditions before the application of thermal insulation ( Figure 13). After energy-retrofitting, the thermal comfort level was rated the highest (a rating of 4-"good", +32.5% change), with acoustic and IAQ comforts rated lower (a rating of 3.5, +12.5%, and 37.5% changes, respectively). Before the energy retrofit, the lowest rating (2) was given to the IAQ (stale air) and daylight comfort (cellar with small windows). The users did not observe any problems with mold growth after the energy retrofit. The users of uninsulated upper-floor spaces (staff rooms) gave also the lowest rating to the IAQ (a rating of 2.5). Apart from daylight comfort, the remaining parameters for the uninsulated upper-floor spaces were rated at the same level as cellar prior to energy retrofit.

Discussion of Results and Conclusions
The energy retrofitting scenarios are usually evaluated in terms of cost-effective energy saving, while the effects on other parameters (like occupants' perception) are often neglected [67]. There are indications that energy-retrofitted buildings can also create risks for indoor environmental quality and for the health and comfort of occupants [68]. The authors intended to solve this research problem by providing and verifying in practice the method of assessing thermo-modernization effects.
The thermal comfort tests (winter, heating applied) showed significant differences in the microclimate between the space subjected to energy retrofitting and those that were not. PMV indicators for retrofitted space ranged between −0.1 and +0.2, which classifies the rooms as belonging to category A as per EN ISO 7730, while also resulting in a percentage of persons dissatisfied with thermal conditions ranging between 5 and 7%. These spaces displayed high thermal stability. In the spaces that were not energy-retrofitted, the comfort level expressed via the PMV indicator ranged between +0.9 and 1.3, which corresponds to a class above "C", as per EN ISO 7730 (with a 22 to 40% predicted percentage of persons dissatisfied with thermal conditions). As presented, the thermal modernization of the indoor walls caused a potential increase in the number of people satisfied with the thermal comfort after modernization in winter by approximately 20%. Table 12 compares the results obtained by the provided objective IEQ method and the survey and voting subjective method by experts who use a building on a daily basis. The comparison method presented in Table 12 shows the percent of comfort increase in the context of the changes after the thermal modernization. The results are quite consistent, the Pearson correlation coefficient of both method results is 96%. The results of the survey confirmed the results obtained with the IEQ measurement method. The users indicated that the indoor air quality (∆ΣIAQ index ) and the thermal comfort (∆TC index ) changed the most, the odor of fungi determined their response by a vote. The changes in the perception of indoor air quality comfort (∆ΣIAQindex) determined by both methods are almost at the same level, as well as the lack of change in daylighting perception (∆L index ). The thermal (∆TC index ) and acoustic comfort changes (∆Acc index ) are seen as greater by vote than shown by the IEQ method.
A new and innovative element of the adopted IEQ method is the introduction to the assessment of ΣIAQ a new component related to the impact of fungal spore concentration on the perception of users. The provided proposal, based on a dozen literature sources, presents the relationship between the number of satisfied occupants (in %) and the number of fungal spores in the indoor air. This element may be highly important for the assessing the comfort and wellbeing level of the historic buildings. The adopted evaluation system showed an increase in the number of users satisfied with the quality of indoor air in the context of the concentration of fungi spores by as much as 42% and taking into account all elements of the IAQ assessment by 35%. Additionally, authors demonstrated the practical use of the multi attribute decision model to determine the weights of the IAQ index in this specific case as proposed in [60]. The application of thermal insulation from the inside of buildings may be problematic due to the risk of water vapor condensation within the partition [69][70][71] and the possibility of reaching critical surface humidity, which facilitates mold and fungus growth. In our case, a retrofitting system whose main element is calcium silicate internal thermal insulation panels was used during the energy retrofitting of a historical building located on the Cracow University of Technology campus. It has been shown ( Table 12) that the applied internal thermal insulation system had a direct impact on numerous parameters of the indoor environment, determining the comfort and wellbeing of occupants. The applied system significantly reduced the humidity of the walls and partly reduced the air humidity in the spaces tested. The application of the system efficiently eliminated the problem of fungal wall degradation and almost completely eliminated fungi spores from the indoor air to the level fully adapted to the permanent stay of people. The findings confirm the high effectiveness of the calcium silicate panel system in preventing the growth of molds in a historical masonry building. Fungal spore concentrations in the air inside the spaces where the panels were applied, did not exceed 100 CFU/m 3 . The study found a higher concentration of mold spores in the air in uninsulated spaces, which showed the predominance of a single fungus species-Penicillium. Elevated mold spore concentrations were observed while testing the walls of uninsulated rooms. The provided thermal system also increased the thermal stability of the walls and rooms similar to [66] in the winter and reduced the temperature fluctuations and, consequently, the fluctuations of thermal comfort parameters, and thus improved the thermal comfort expressed as a percentage of dissatisfied occupants by 24% (IEQ method) and 33% (vote method). The insulation system also caused a slight improvement in air quality in terms of the concentration of volatile organic compounds, which is probably related to the reduction of metabolic VOCs from wall degradation caused by fungi.
The case study building is exposed to direct street noise at the level of 65-70 dB (daytime). The new insulation system resulted in a slight improvement in the acoustic insulation of the wall, and thus a certain improvement in the acoustic climate of the rooms The system has not deteriorated the visual quality related to the level of daylight as expected, which had to be caused by the increase in wall thickness.
As proposed, the quality of the indoor environment (IEQ index ) may be a practical measure to predict people's comfort perception level inside historical buildings retrofitted as the authors presented. The article provided a practical approach for the implementation of the IEQ model including its important sub-components. A good level of indoor environmental quality of a case study building after thermo-modernization has been demonstrated, the modernization process applied improved the overall quality of the IEQ index by 15%. It should also be emphasized that a significant correlation was found between the comfort increase rates using the IEQ model method and the questionnaires filled in by building users (experts). The Pearson correlation coefficient was as high as 96%. The strong correlation obtained for presented case-study building does not have to be repeated at such a level in the assessments of other buildings in the future due to the significant uncertainty (of over a dozen percent) of both methods (IEQ and vote).
The findings showed a marked difference in the indoor environmental quality of rooms wherein the calcium silicate thermal insulation panels had been applied relative to uninsulated spaces, with the former showing much more favorable results. All the analyzed comfort parameters improved, which was confirmed by the users of these rooms in a provided survey study. The results obtained with the survey method show gains in comfort even higher than the result from the presented method (+25%).
The presented assessment may be an important element in defining thermo-modernization requirements in buildings in the future in terms of achieving almost zero energy buildings [72].          RH (%) T (C) Figure A2. Outside temperature and relative humidity for the period 10-13 January 2020.