This study investigated the multifactorial effects of probiotic supplementation with a specific combination of L. acidophilus and P. acidilactici on the performance, egg quality, biochemical parameters, gut morphology, immune function, skeletal characteristics, and fecal microbiota composition of laying hens. The findings suggest that this probiotic combination confers multiple physiological and production-related benefits without imposing adverse effects on systemic organ development.
4.1. Laying Performance
In the present study, dietary supplementation with a probiotic combination of
L. acidophilus and
P. acidilactici led to a significant reduction in feed intake over the 16-week trial period, while egg production and egg weight remained statistically similar to the control group. This may suggest that the probiotic combination enhanced nutrient utilization efficiency, as evidenced by a significant improvement in FCR, without directly increasing production output. The observed reduction in feed intake may be attributed to improved digestive efficiency, possibly resulting from enhanced gut morphology and microbial balance promoted by probiotic combination containing
Lactobacillus and
Pediococcus strains [
43], as previously suggested by Gallazzi et al. [
18] and Alaqil et al. [
17], who also reported decreased feed intake with
L. acidophilus supplementation. However, other studies [
10,
21,
22,
44,
45] reported no significant effects on feed intake following probiotic use, suggesting that these outcomes may be strain-specific or dependent on environmental and management conditions.
Regarding egg production, no statistically significant differences were found between the probiotic and control groups, although both showed a time-related increase throughout the trial. This finding aligns with previous studies [
10,
21,
44,
45], which reported no effect of probiotics on laying rate. Similarly,
P. acidilactici supplementation had no impact on egg production in the study by Shanmugam et al. [
9]. Nevertheless, the numerically higher egg production observed in the probiotic group is in line with previous findings by Yörük et al. [
46]. These results suggest that probiotics may help sustain egg production, particularly under stress or suboptimal conditions, by supporting gut health and immune function. Furthermore, several studies have shown that supplementation with
L. acidophilus [
18,
47] and
P. acidilactici [
22] significantly enhanced egg production, although such effects were not observed in the current trial.
Egg weight was not significantly affected by the probiotic treatment in this study, consistent with the findings of Yan et al. [
10] and Zhang et al. [
48], who reported no change in egg weight with probiotic supplementation. Similarly, non-significant effects were reported by several researchers [
3,
9,
22,
48,
49,
50]. However, some studies, such as those by Zhan et al. [
51] and Ray et al. [
52] noted beneficial effects of probiotic supplementation on egg weight. Improvements in egg weight were also reported with
P. acidilactici [
9,
21] and
L. acidophilus [
17] supplementation, highlighting that the effect of probiotics on egg weight may depend on specific strain combinations and experimental conditions.
With respect to egg quality traits, the present study observed a reduction in the incidence of dirty and cracked/shell-less eggs in the probiotic group, although statistical comparisons were only emphasized for cracked/shell-less eggs. Supporting these findings,
L. acidophilus supplementation has been shown to reduce dirty egg production [
18], while
P. acidilactici has been reported to decrease damaged egg rates [
21], and a commercial probiotic containing
P. acidilactici reduced the percentage of shell-less and unmarketable eggs [
10]. These improvements may be linked to the role of probiotics in maintaining eggshell integrity, potentially through enhanced calcium absorption and microbial stabilization in the gastrointestinal tract [
21,
53,
54,
55].
Importantly, the probiotic group showed a significantly lower FCR, further reinforcing the beneficial effects of
L. acidophilus and
P. acidilactici on nutrient utilization. These benefits align with previous findings [
9,
44,
46,
56,
57], which reported improved feed efficiency in laying hens following probiotic administration. Similar improvements in feed efficiency have been reported by Gallazzi et al. [
18], Haddadin et al. [
47], and Alaqil et al. [
17] for
L. acidophilus, and by Mikulski et al. [
21], Shanmugam et al. [
9], and Quarantelli et al. [
22] for
P. acidilactici. Xiang et al. [
3] also noted reduced feed intake with
Clostridium butyricum supplementation, supporting the idea that certain probiotic strains may enhance feed efficiency by modulating appetite or nutrient absorption. However, several studies [
10,
21,
22,
44,
45] reported no significant effect of probiotic supplementation on feed intake, indicating that the impact of probiotics on this parameter may be inconsistent and likely influenced by factors such as strain type, dosage, bird genotype, housing conditions, or duration of the study. Despite the absence of changes in egg output, the improved FCR in the present study strongly supports the concept that probiotics enhance physiological and metabolic efficiency.
No mortality was observed in birds receiving the probiotic combination, consistent with prior reports showing no mortality with
P. acidilactici alone [
9] or with multi-strain probiotic products containing
P. acidilactici,
E. faecium,
B. animalis, and
L. reuteri [
10]. Similarly, supplementation with
Clostridium butyricum or a combination of
Saccharomyces boulardii and
P. acidilactici [
3], as well as
Bacillus subtilis [
58], did not affect mortality. Yörük et al. [
46] even reported linear and quadratic reductions in mortality with increasing levels of a probiotic product containing
L. acidophilus. These findings highlight the safety and potential protective effects of the tested probiotic strains, further supporting their inclusion in poultry diets.
4.2. Egg Quality
In the present study, dietary supplementation with a probiotic combination of L. acidophilus and P. acidilactici significantly improved several egg quality traits, encompassing both external and internal parameters. Notable enhancements were observed in eggshell breaking strength, eggshell thickness, albumen height, albumen index, and Haugh unit, indicating improved structural integrity and freshness of the eggs.
The improvements in eggshell quality align with the findings of Mikulski et al. [
21], who reported increased eggshell thickness and shell weight percentage following
P. acidilactici supplementation. However, other studies, including those by Yan et al. [
10], Gallazzi et al. [
18], Haddadin et al. [
47], Zhang et al. [
48], and Puncharoen et al. [
58] found no significant effect of probiotic administration on eggshell thickness or strength. Similarly, Shanmugam et al. [
9] reported no effect of
P. acidilactici on eggshell parameters or relative shell weight. Obianwuna et al. [
57] observed an increase in shell strength but no effect on shell thickness or relative shell weight after supplementation with
Clostridium butyricum and
Brevibacillus strains. These discrepancies may be attributed to differences in probiotic strains, dosages, bird age, housing systems, or laying phase [
57].
The improved eggshell traits observed in this study may result from enhanced calcium absorption and retention in the serum, which facilitates effective calcium deposition in the shell gland [
51]. Similar benefits in shell thickness have been observed with supplementation of
Bacillus subtilis in laying hens [
59,
60], and
B. subtilis PB6 in broiler and layer breeders [
49,
50]. Conversely, Wang et al. [
61] found no effect of
C. butyricum on shell quality, while Upadhaya et al. [
55] reported improvements only in eggshell strength, not thickness, with
B. subtilis. The lactic acid production and subsequent acidification of the gut may enhance calcium and phosphorus solubility and absorption, thus supporting eggshell formation [
18].
In terms of internal egg quality, significant increases in albumen height, albumen index, and Haugh unit were observed in the probiotic group, indicating improved albumen freshness and quality. These results are consistent with previous studies that reported increases in Haugh unit [
9,
45,
48,
57,
62,
63,
64], albumen height [
3,
45,
57,
62], and albumen protein content [
3] with various probiotics. However, other studies such as Gallazzi et al. [
18] and Mikulski et al. [
21] found no effect of
L. acidophilus or
P. acidilactici on Haugh unit, while Shanmugam et al. [
9] and Mikulski et al. [
21] reported no changes in the relative weight of albumen with
P. acidilactici supplementation. These inconsistencies may be due to differences in bird age, genetic background, or physiological state [
57].
The improvement in albumen quality may be explained by enhanced crude protein and amino acid digestibility that is crucial to albumen synthesis [
57,
65]. Additionally, modulation of the oviduct microflora by probiotics such as
C. butyricum and
Brevibacillus may contribute to improved albumen synthesis [
57]. Gastrointestinal acidification has also been proposed as a contributing factor to improved albumen quality and Haugh unit [
18]. Overall, these improvements enhance the functional quality and shelf-life of the eggs [
65].
Regarding yolk quality, no significant changes were observed in yolk color, yolk index, relative yolk weight, or total yolk lipid content. These results are consistent with previous findings by Zhang et al. [
48] and Shanmugam et al. [
9], who reported no influence of probiotics on yolk color. The absence of change in yolk pigmentation may reflect the fact that xanthophylls are non-nutritive pigments not significantly affected by probiotic metabolism [
57]. Likewise, some researchers found no changes in yolk index [
21], relative yolk weight [
9,
21], or total lipid content [
47] with various probiotic treatments. Similarly to the present experiment, Carvalho et al. [
65] reported that yolk pH decreased, while yolk weight and shell weight were not affected. However, in contrast to the present findings, albumen pH, albumen height, and Haugh unit were also not affected in their study [
65]. The lower pH value in egg yolk in the probiotic-supplemented group is a beneficial effect and may be related to the higher deposition of antioxidants in the yolk that delay lipid peroxidation [
65].
However, several studies, including Alaqil et al. [
17], Mikulski et al. [
21], Kurtoğlu et al. [
56], and Kalavathy et al. [
66] have demonstrated a significant reduction in egg yolk cholesterol concentration with probiotic supplementation. Obianwuna et al. [
57] also observed reduced relative yolk weight. The hypocholesterolemic effects of probiotics are commonly attributed to mechanisms such as bile salt deconjugation, inhibition of cholesterol absorption [
54], and suppression of hepatic cholesterol synthesis [
66]. These effects are also linked to improvements in serum lipid profiles, as shown by Kurtoğlu et al. [
56].
Probiotic supplementation also modulated the yolk fatty acid profile, significantly increasing n-3 polyunsaturated fatty acids (PUFAs), particularly docosahexaenoic acid (DHA, C22:6n3), which is known to reduce inflammation and support cardiovascular health [
67,
68]. Although total SFA, MUFA, and PUFA levels remained unchanged, the observed decrease in the n-6/n-3 ratio suggests a nutritionally favorable shift. These findings are supported by Guo et al. [
59] and Lei et al. [
69]. In contrast, Mikulski et al. [
21] reported no effect of
P. acidilactici on the n-6/n-3 ratio or specific fatty acids (16:1, 17:1), while Kalavathy et al. [
66] observed a limited impact of
Lactobacillus on yolk fatty acid composition.
Despite improvements in certain fatty acids, no significant differences were detected in composite lipid health indices such as the atherogenic index (AI), thrombogenic index (TI), desirable fatty acids, or nutritive value. This suggests that although probiotics can influence specific components of lipid metabolism, more prolonged use or higher dosages may be required to induce significant changes in overall lipid risk markers.
Probiotic supplementation improved antioxidant status, as evidenced by increased DPPH radical scavenging activity and reduced OSI. Although the decline in MDA levels was not statistically significant, the downward trend indicates a possible protective effect against lipid peroxidation. Similar results were reported by Abdelqader et al. [
44] and Zhan et al. [
51], who showed improved antioxidant status with probiotics. Furthermore Carvalho et al. [
65] reported that yolk MDA levels were reduced by 19.65% in probiotic supplemented group compared to the control group, which may be attributed to the deposition of antioxidants in the yolk. Zhan et al. [
51] attributed these benefits to enhanced activity of antioxidant enzymes, facilitated by the production of butyrate and hydrogen gas by
C. butyricum, which reduce reactive oxygen species (ROS). Conversely, Xiang et al. [
3] found no antioxidant benefit with
Saccharomyces boulardii and
P. acidilactici, underlining the strain-specific nature of probiotic effects.
4.3. Intestinal Morphology
The structural characteristics of the intestinal mucosa, including villus height, crypt depth, villus width, and surface area, are critical indicators of gut integrity and the capacity for nutrient absorption. An increase in villus height and width, alongside a reduction in crypt depth and an elevated villus height-to-crypt depth (VH:CD) ratio, reflects enhanced nutrient absorption and improved intestinal health [
70]. In contrast, shortened villi and deeper crypts are associated with reduced nutrient utilization, as more metabolic energy is diverted toward epithelial cell turnover and mucosal regeneration, particularly under inflammatory or stress conditions [
71].
In the present study, although villus height decreased, the VH:CD ratio significantly increased due to a marked reduction in crypt depth in probiotic-supplemented hens. These findings indicate improved intestinal function. Giannenas et al. [
71] observed increased villus height across the duodenum, jejunum, and ileum in laying hens supplemented with a probiotic mixture of
Enterococcus faecium,
Bifidobacterium animalis, and
Lactobacillus salivarius. Similarly, Xiang et al. [
3] reported that
C. butyricum and a combination of
Saccharomyces boulardii and
P. acidilactici enhanced villus height and VH:CD ratio in the ileum and cecum. Obianwuna et al. [
57] also demonstrated that supplementation with
C. butyricum and
Brevibacillus strains increased villus height and VH:CD ratio in the jejunum of laying hens. Shanmugam et al. [
9] reported that while
P. acidilactici did not significantly affect villus height, it increased VH:CD ratio in both jejunum and ileum. Likewise, supplementation with
Bacillus spp. enhanced jejunal villus height and VH:CD ratio and reduced crypt depth in laying hens [
63,
72]. These beneficial effects may be attributed to the modulation of gut microbiota by probiotics, which can enhance intestinal development and even promote elongation of the intestinal tract [
62]. Such improvements in mucosal architecture suggest increased absorptive surface area and reduced epithelial turnover, leading to better nutrient assimilation and overall gut health. Deng et al. [
73] also emphasized the role of probiotics in promoting gut health in laying hens, which aligns well with the histological enhancements observed in the current study.
However, not all findings in the literature are consistent. Wang et al. [
61] reported no significant influence of
C. butyricum on jejunal histology, potentially due to differences in probiotic strains, bird age, or duration of supplementation. These variations underscore the importance of probiotic selection and experimental conditions when evaluating gut morphological outcomes.
4.4. Relative Organ Weight, Blood Serum Indices, Immune Function, and Fecal Microbiota
Probiotic supplementation can exert systemic effects beyond the gastrointestinal tract, as evidenced by its influence on immune parameters, blood serum indices, and gut microbiota. In the present study, dietary inclusion of probiotics did not significantly affect the relative weights of internal organs such as the liver and heart, consistent with the findings of Obianwuna et al. [
57], who reported no changes in heart and liver indices following 12 weeks of
C. butyricum and
Brevibacillus supplementation.
Dietary inclusion of probiotics did not significantly affect the relative weights of spleen. In contrast with earlier reports suggesting that the spleen, being a central lymphoid organ involved in both cellular and humoral immunity, can serve as a proxy for immune status [
5,
52,
74,
75]. These findings support the immunomodulatory role of probiotics, as also observed by Obianwuna et al. [
57], who reported increased spleen weight and elevated immunoglobulin levels in laying hens supplemented with
C. butyricum and
Brevibacillus.
No statistically significant differences were observed between the groups in terms of serum total protein and albumin in the current study. However, Zhan et al. [
51], attributed increased serum protein levels to improved nitrogen utilization and enhanced immune function. Zhan et al. [
51] also demonstrated elevated levels of IgM, IgG, and complement components C3 and C4 in probiotic-treated hens, potentially due to probiotic-induced B-cell proliferation and stimulation of immunoglobulin secretion [
39,
40]. These findings further support the capacity of probiotics to activate both innate and adaptive immune responses in poultry.
Nevertheless, inconsistencies exist in the literature. For example, while Zhou et al. [
76] reported that
Bacillus amyloliquefaciens increased serum IgG and IgA levels, and Zhan et al. [
51] showed that
C. butyricum elevated IgA, IgY, and IgM concentrations, Obianwuna et al. [
57] found no significant effect on serum IgG levels following
C. butyricum and
Brevibacillus supplementation. In the present study, supplementation of drinking water with
L. acidophilus and
P. acidilactici significantly increased serum IgG levels. These discrepancies may be attributed to differences in probiotic strains, environmental hygiene, bird genotype, or study duration [
57].
Immune function is closely linked to antioxidant capacity, as oxidative stress can impair immune competence. Obianwuna et al. [
57] suggested that improved activity of antioxidant enzymes may indirectly contribute to immune enhancement. This interaction between antioxidant defense and immune function may have played a role in the observed improvements in laying performance and egg quality in this study, including better albumen height and eggshell strength [
57].
In terms of lipid metabolism, our results demonstrated reduced serum cholesterol and triglyceride levels following probiotic supplementation, which supports previous findings by Alaqil et al. [
17], Haddadin et al. [
47], Mohan et al. [
54] and Kurtoğlu et al. [
56], who reported similar hypocholesterolemic and hypotriglyceridemic effects with
L. acidophilus and mixed probiotic strains. These effects may stem from multiple mechanisms, including bile salt deconjugation, inhibition of cholesterol absorption, and suppression of hepatic cholesterol synthesis [
54,
66]. However, Zhang et al. [
48] reported no changes in serum total cholesterol with certain probiotic combinations, highlighting that such outcomes may be strain-specific and dose-dependent.
Fecal microbiota analysis further confirmed the beneficial effects of probiotic supplementation. In the probiotic-supplemented group, an increase in
Lactobacillus populations and a reduction in coliform counts were observed. These findings are consistent with those reported by Guo et al. [
59], who demonstrated that supplementation with
B. subtilis reduced
E. coli counts in both fecal and cecal samples, increased Lactobacillus counts in the cecum, and consequently reduced the
E. coli/
Lactobacillus ratio in cecal samples. The reduction in pathogenic bacteria such as
E. coli and
Clostridium perfringens is crucial for maintaining gut health, minimizing subclinical infections, and enhancing overall performance [
59].
Moreover, no presence of Salmonella was detected in fecal samples from either the control or probiotic groups. This result may not only reflect the probiotic-induced microbial balance but also be attributed to other contributing factors, such as the provision of balanced and hygienic diets, optimal husbandry and housing conditions, and the minimization of environmental stress. Such favorable rearing conditions can prevent the colonization of potential pathogens in the gastrointestinal tract and thereby contribute to the suppression of Salmonella, a major zoonotic bacterium.
In addition, the observed increase in fecal dry matter content in the probiotic-supplemented group suggests improved water absorption and intestinal integrity, potentially reducing the incidence of wet litter, which is a common concern in poultry housing systems.
4.5. Geometric Morphometrics
Nowadays, the industry aims to extend egg laying until hens are 100 weeks old or longer (from 65 to 70 weeks old, currently) to make egg production more sustainable. However, intensive egg production challenges hen health and particularly bone metabolism as eggshell formation mobilizes large amounts of calcium from the skeleton, inducing a severe form of osteoporosis and bone fractures. Moreover, the high laying performance of today’s laying hens places enormous demands on their mineral metabolism, inducing bone resorption and weakening [
9].
The present study utilized 3D geometric morphometric analysis to investigate the effects of dietary supplementation with L. acidophilus and P. acidilactici on skeletal morphology in laying hens. Although no statistically significant differences were detected in overall bone volume or surface area between probiotic and control groups, the probiotic-treated hens consistently exhibited numerically higher values for nearly all measured bones, except for the tibiotarsus in terms of surface area. This trend aligns with subtle yet meaningful shape variations revealed by PCA, GPA, and landmark-based assessments, particularly in long bones critical for locomotion and structural support.
It highlights important morphological differences in bone development, particularly in the femur and tibiotarsus, which are influenced by probiotics and various factors. Shape analysis approaches have been effective in identifying these differences, focusing on size and structural changes during growth [
77]. Javid et al. [
78] showed that probiotic supplementation significantly differentiated the morphometric parameters of the tibiotarsus in anatomical structures related to length, weight, thickness of lateral and medial walls. The weight/length index was significantly higher with probiotic supplementation. In a study conducted in tibiotarsus, Gosman et al. [
79] found shape variations in diaphyseal shape and cortical bone geometry during growth due to probiotic effect. They stated that there were significant shape differences in the proximal tibial diaphysis due to mechanical loading changes.
In parallel with these findings, significant morphologic differences were observed in both femur and tibiotarsus bones in the probiotic-treated group compared to the control group. In the femur, significant alterations were identified in structural characteristics such as the location of the fovea capitis femoris, the length of the collum femoris, and the position of the trochanter major. In the tibiotarsus, displacement, shape differentiation, and volume increase were observed in regions including the facies articularis, crista cnemialis, and canalis extensorius. The findings support the hypothesis that probiotic supplementation positively affects bone development, both dimensionally and structurally, and that shape analysis methods have high sensitivity in revealing these changes. The 3D geometric morphometry method utilized in the present study elucidated the morphologic variations that occur, particularly in long bones such as the femur and the tibiotarsus. Landmark-based analyses have been instrumental in determining the precise orientational and regional changes that occur between specific anatomical points of the bones. This has enabled the presentation of morphological differences in 3D comparisons. The data obtained were not only limited to numerical analysis but also supported by high-resolution visual outputs. The impact of probiotic administration on the femur and tibiotarsus bones has been substantiated, both statistically and visually.
Specifically, femur morphology in the probiotic group showed significant shape adaptations, such as lateral displacement and size reduction in the fovea capitis femoris, elongation of the collum femoris, and positional shifts of the trochanter major. These structural modifications suggest enhanced bone remodeling and growth. Similarly, the tibiotarsus exhibited significant cranial and proximal displacements of articular surfaces, increased bone volume, and reshaping of anatomical landmarks like the crista patellaris and canalis extensorius. Collectively, these findings indicate probiotic supplementation may contribute to improved skeletal robustness and structural integrity, which is critical for maintaining bone strength during the demanding laying period.
These results corroborate prior research demonstrating the beneficial role of probiotics in bone health. Zou et al. [
6] reported that
Bacillus subtilis supplementation significantly enhanced femoral strength, stiffness, and elasticity in laying hens, potentially through mechanisms including improved phosphorus utilization, estrogen metabolism, suppression of pro-inflammatory cytokines, and increased osteoprotegerin expression. Javid et al. [
78] and Mutus et al. [
80] further documented increases in tibial length, weight, mineral content, and bone ash percentage following probiotic administration, reinforcing the concept that gut microbiota modulation can influence mineral absorption and bone mineralization.
Mechanistically, probiotic bacteria may enhance bone development by producing short-chain fatty acids, which lower intestinal pH and improve mineral solubility and absorption [
51]. Improved intestinal morphology (increased VH:CD ratio) observed in this and related studies supports enhanced nutrient uptake capacity, further facilitating calcium and phosphorus bioavailability necessary for optimal bone formation [
9,
71]. Additionally, the modulation of gut microbiota composition, including increased populations of
Lactobacillus and
Bifidobacterium and suppression of pathogenic
E. coli [
51,
59], reduces intestinal inflammation, which can indirectly benefit bone remodeling by limiting osteoclastic activity triggered by pro-inflammatory cytokines.
Despite the lack of statistical significance in bone volumetric parameters, the subtle shape adaptations identified suggest that even short-term (16-week) probiotic supplementation can initiate skeletal remodeling. As reported by Yan et al. [
10], probiotic mixtures containing
P. acidilactici did not affect gross surface areas of major bones such as tibia, femur, humerus, and keel, highlighting that such changes may require longer intervention periods to become statistically evident. In addition to the duration, dosage of probiotic administration may also play a pivotal role in determining the extent of skeletal responses. Mikulski et al. [
21] demonstrated that the beneficial effects of
P. acidilactici on laying hen performance and egg quality were dose-dependent, with greater efficacy observed at 100 mg/kg of feed (8.0 × 10
8 CFU/kg) compared to 50 mg/kg (3.3 × 10
8 CFU/kg). This dose–response relationship suggests that higher probiotic concentrations might also elicit more pronounced effects on skeletal parameters, which may not have been fully captured in the present study due to the selected dosage and study duration.
Importantly, the use of geometric morphometrics in this study enabled sensitive detection of shape changes that traditional univariate measures might miss. The distinct shifts observed in femur and tibiotarsus shape parameters suggest that probiotic supplementation influences regional bone growth and remodeling, potentially translating into improved biomechanical properties and resistance to skeletal disorders such as osteoporosis, which is a known risk in high-producing laying hens [
44].
These skeletal improvements align with other positive probiotic-induced effects observed in this study, including improved intestinal histomorphology, enhanced antioxidant capacity, and modulated lipid metabolism, which collectively support systemic health and nutrient utilization. The increase in serum immune parameters [
51,
56] also indicates better physiological status, which could synergistically promote bone tissue maintenance and repair.
The current findings in geometric morphology demonstrate that supplementation with L. acidophilus and P. acidilactici exerts a multi-faceted, positive influence on laying hen skeletal morphology. Although the changes are subtle and did not reach statistical significance within the study period, geometric morphometric evidence reveals biologically meaningful adaptations consistent with enhanced bone robustness. These outcomes support the inclusion of targeted probiotics as functional feed additives to promote skeletal health, potentially reducing fracture risk and improving welfare in commercial laying operations. Future research incorporating longer-term supplementation, bone density assessments, biomechanical testing, and combined mineral interventions will be critical to fully elucidate the extent and mechanisms of probiotic benefits on poultry skeletal integrity.