Introduction

The biophysical environment is severely modified by the variations that occur in land use land cover. These variations include; decrease in naturally vegetated area such as highly forested areas, loss of agricultural lands, increase in barren areas, increase in impermeable surfaces, etc. A major land use that has expanded over time is the impervious surfaces. Impervious surfaces are typically described as land surface features created by humans through which water cannot permeate the ground. Human-induced land cover amount to nearly 40% of the earth’s surface and the naturally vegetated environments have been modified to impervious surfaces (Sterling and Ducharne 2008). Impervious surfaces are significant pointers to the state of the environment inasmuch as they have substantial consequences for several biophysical processes such as urban heat islands effect, surface energy budget, transport of water pollutants and deterioration of water quality. Impervious surfaces cause increased storm water runoff which consequently increases floods in urban streams (Rose and Peters 2001; Burns et al. 2005). As a result of the replacement of the land cover with impervious surfaces which give rise to reduction of evapotranspiration (Carlson 1986), and therefore sensible heat flux increase, temperature gradient exists between the areas dominated by impervious surfaces and natural vegetation.

Across various cities globally, studies have revealed that the proportion of green areas that should be preserved, are being urbanized (Rosenzweig et al. 2006; Kim and Pauleit 2007; Qiao et al. 2013; Kandel et al. 2016). Depletion of these green areas may result to deprivation and reduction in the biodiversity and consequently distort the urban ecosystem (Kim and Pauleit 2007). Due to the importance of urban areas, it is very important to give a quantitative analysis in order to describe and forecast some problems that have occurred in the process of urbanization.

The Land is the portion of the earth’s terrestrial surface, comprising all attributes of the biosphere immediately above/below it (FAO 1995) and the increasing demand of man calls for optimal and proper utilization of land which can be achieved only through the proper land use/land cover study. Assessment of the land use land cover dynamics is effective in the conservation of land resources, it helps to promote economic development as well as enhance eco-friendly planning and sustainable environmental growth (Choudhari 2013). This has resulted in a global focus on the changing patterns of land use land cover at the regional scale and attention has been drawn to its implication on the biophysical environment for different regions. Some studies have focused on the thermal response of an urban setting to vegetation presence (Zhang et al. 2009; Nie et al. 2016). For instance, Zhang et al. (2013), investigated the changing landscape patterns of land cover over Sydney and its effect on the land surface temperature. In Beijing City, China, the land use changes and the corresponding variation in surface temperature were assessed by Ding and Shi (2013); in English Bazar and Jharkand, India, the changes in land surface temperature as a result of land use land cover alteration was presented by Pal and Ziaul (2017) and Kayet et al. (2016) respectively. A mutual inference from these works was the changing pattern of impervious surfaces due to urbanization over the regions and the effect on the land surface temperature.

Development of urban areas like in most cities of the world is also occurring in various parts of Nigeria. With particular focus on urban expansion, studies have been carried out in examining the changes in land use land cover in several cities across Nigeria (Musa et al. 2012; Mmom and Nwagwu 2013; Jibril and Liman 2014; Daramola and Eresanya 2017). The implication of modified biophysical features on the thermal environment has also been reported recently in some parts of Nigeria (Adeyeri and Okogbue 2014; Ishola et al. 2016a; Ige et al. 2017; Adeyeri et al. 2017; Ogunjobi et al. 2018).

The progress in remote sensing technology has resulted in the development of several indices applicable in urban impervious surface studies, some of which include; Urban Index (UI) (Kawamura et al. 1996), Normalized Difference Built-up Index (NDBI) (Zha et al. 2003), Index-based Built-up Index (IBI) (Xu 2008), New Built-up Index (NBI) (Jieli et al. 2010), Enhanced Built-up and Bareness Index (EBBI) (As-syakur et al. 2012) and Normalized Difference Impervious Index (NDII) (Wang et al. 2015). These indices have been applied in studies globally (Basarudin and Adnan 2014; Bouzekri et al. 2015; Mushore et al. 2017; Badlani et al. 2017).

These indices are useful for characterizing and extracting the features of the urban surface areas and hence can be applied for examining the variations in impervious surfaces. Arnold and Gibbons (1996) stated that variations in impervious surface areas are significant indicators of environmental change in a city. This, therefore, elucidates the importance of assessing the variations in impervious surfaces around a region. At the moment, however, only a few studies have applied the use of impervious and built -up indices in characterizing the land surface features for any area in Nigeria. Only recently, the Normalized Vegetation Built-up Index was employed by Ishola et al. (2016b) over Abeokuta and Adeyeri et al. (2017) over Abuja. Previous study over Ibadan by Akintola (1994), revealed the increase in the impervious surface within the area between 1965 and 1994. Kamdoum et al. (2014) also investigated the variation of impervious surface between 1984 and 2006. However, no study at present provides information on the current impervious surface coverage in Ibadan.

Urban areas in Nigeria are presently confronted with upsurge in population which is rapidly growing coupled with poor infrastructure across the urban areas (Ayanlade 2016). According to the United Nations report (UN 2012), the population of Nigerian cities are expected to increase in the next 40 years, consequently increasing the pressure on the land resulting to urban expansion. The city of Ibadan has experienced tremendous population increase and infrastructural development over the past few decades. With the increase in the population of Ibadan, there is need to assess the changes in the land use land cover that have occurred over time. This study thus focuses primarily on investigating the changes in the land surface features that have occurred over Ibadan for three different time periods and the corresponding thermal variation within these periods. In view of this, several impervious surface indices were applied in the study to assess the variation in land use land cover. The variation in land surface temperature was also assessed with respect to changing land use land cover pattern and structure; and finally, the assessment of these indices as land surface temperature predictors was carried out.

Study area

This research focused on the city of Ibadan, located within latitudes 7°05′0′′N and 7°45′0′′N and longitudes 3°30′0′′E and 4°10′0′′ E (Fig. 1). Ibadan is the capital of Oyo State, a state located in the south-western part of Nigeria. The climate of Ibadan is tropical and is influenced majorly by trade winds, South-West and North-East trade winds. The North-East trade winds bring about the dry season over the area and it is usually dry and dusty, whereas, during the wet season period, South-Western trade winds are prevalent over the area. The annual rainfall over Ibadan is about 1252 mm, the annual minimum and maximum temperatures are 23 and 32 °C respectively, while the average relative humidity is about 76%. It falls within the tropical rainforest and has an average elevation of 233 m. The population of Ibadan was 1,835,300 in 1991 and has witnessed remarkably increase since then with the population reaching 2,559,853 in 2006.

Fig. 1
figure 1

Location of Ibadan, showing the local government areas

Materials and methods

Cloud-free remotely sensed data from Landsat were used in this study. The Landsat data were obtained from the United States Geological Survey (USGS) for 1984, 2000 and 2016 covering a period of 32 years (Table 1). The Landsat images were obtained from Landsat TM, ETM + and OLI/TIRS sensors. The acquired images were obtained for path 191 and row 55, which sufficiently covered the whole city of Ibadan. The city of Ibadan was subdivided into eleven zones representative of the local government boundaries. Population data was also obtained from the National Population Commission (NPC).

Table 1 Satellite image used for this study

The acquired images were processed and geometrical correction was carried out on the images. The images were referenced to the Universal Transverse Mercator (UTM) Zone 31 North and projected to World Geodetic System (WGS) 84. A classification scheme was developed for image classification (Table 2). The classification scheme was developed based on the features and knowledge of the study area. Different band combinations were produced for the images in order to adequately capture the land use land cover classes. Supervised classification was carried out on the images by applying the classification scheme. Maximum likelihood parametric rule, which has been identified as the most extensively utilized parametric classification algorithm (Jensen 2005b; Bailly et al. 2007), was adopted for the image classification. Maximum Likelihood decision rule is based on the possibility that a pixel belongs to a specific class. The basic equation (Eq. 1) assumes that these possibilities are equal for all classes and that the input bands have normal distributions (Erdas 1999).

Table 2 Classification scheme used in the study
$$D=\ln \left( {{a_c}} \right) - \left[ {0.5\ln \left( {\left| {co{v_c}} \right|} \right)} \right] - \left[ {0.5\left( {X - {M_c}} \right)T\left( {co{v_c}^{{ - 1}}} \right)\left( {X - {M_c}} \right)} \right]$$
(1)

where D is weighted distance (likelihood), c is a particular class, X is measurement vector of the candidate pixel, Mc is the mean vector of the sample of class c, ac is percent probability that any candidate pixel is a member of class c, Covc is covariance matrix of the pixels in the sample of class c and T is the transposition function (matrix algebra).

Upon producing the Land Use Land Cover (LULC) maps, the Land Change Modeller (LCM) was employed for change detection analysis. Change detection analysis is a procedure applied for quantifying changes in land use land cover types produced by geographically referenced dataset of various time periods (Ramachandra and Kumar 2004). Change detection was done using the land use land cover maps for; 1984–2000 and 2000–2016, a 16-year period between each and 32-year period (1984–2016). The Land Change Modeller used, is an integrated software within the Idrisi environment that enables researchers to assess the changes in land cover between two different time periods. The requirement for LCM is basically two maps of different time periods with the same spatial characteristics and reference. LCM was applied for the identification and quantification of the changes and transitions between land cover types that occurred over different time periods. The gains and losses between each land cover, net change in land cover areas and the relative contributions of each land cover type to the net change in the area of the land use types for each time period were performed.

The overall classification accuracy (Eq. 2) and the kappa coefficient (Eq. 3) (Bogoliubova and Tymków 2014; Congalton 1991) were obtained for the classified images by generating 150 equalized random points, this was then compared to the referenced data. The kappa coefficient ranges between 0 and 1, the closer the value is to 1, the better the agreement between the dataset.

$$T=\frac{{\mathop \sum \nolimits^{} {D_{ii}}}}{N}$$
(2)
$$k=\frac{{N\mathop \sum \nolimits_{{i=1}}^{r} {x_{ii}} - \mathop \sum \nolimits_{{i=1}} r\left( {x+i} \right)*\left( {x+i} \right)}}{{{N^2} - \mathop \sum \nolimits_{{i=1}}^{r} r\left( {x+i} \right)*\left( {x+i} \right)}},$$
(3)

where Dii is the number of correctly classified pixels, N represents all the pixels in matrix error, r is the number of rows in the error matrix, xii is the number of observations in the ith row and column, (x + 1) is the total number of observations in the ith column and N is the total number of observation sites.

The flowchart for this study is shown in Fig. 2.

Fig. 2
figure 2

Flowchart for the study

Land surface temperature (LST) estimation

The land surface temperature for each of the images was computed from the thermal band of each image. The digital number (DN) of the images were first converted to spectral radiance (\({L_\gimel }\)) using Eq. 4.

$${L_\gimel }=\left( {\frac{{LMAX - LMIN}}{{QCALMAX - QCALMIN}}} \right)*\left( {DN - QCALMIN} \right)+~LMIN.$$
(4)

where; DN is the digital number of each pixel, LMAX and LMIN are calibration constants, QCALMAX and QCALMIN are the highest and lowest range of values for rescaled radiance in DN obtained from the metadata.

The spectral radiance was further converted to At-sensor brightness temperature (\({T_B}\)) (Eq. 5).

$${T_B}=~\frac{{{K_2}}}{{ln\left( {\frac{{{K_1}}}{{{L_\lambda }}}~+~1} \right)}}$$
(5)

where K1 and K2 are calibration constants for the landsat image given as K1 = 607.76, 666.09 and 774.89, while K2 = 1260.56, 1282.71 and 1321.08 (Wm− 2 sr− 1 µm− 1) for landsat TM, ETM + and OLI/TIRS respectively; \({L_\gimel }\) is the spectral radiance for the thermal band.

After obtaining the brightness temperature, the land surface temperature was computed using Eq. 6.

$$LS{T_K}=\frac{{{T_B}}}{{1+~\left[ {\frac{{\gimel *{T_B}}}{\rho }} \right]*\ln \varepsilon }}$$
(6)

where \({T_B}\) is the brightness temperature from Eq. 5, \(\lambda\) is the wavelength of emitted radiance which equals 11.5 µm, ρ is 1.438 × 10− 2 mK, and ε is the emissivity.

Equation 6 gives the LST in Kelvin and therefore was converted to Celsius according to Eq. 7.

$$LS{T_c}=LS{T_K} - 273.14$$
(7)

where \(LS{T_K}\) is the land surface temperature obtained from Eq. 6.

Thermal hot and cold spots were identified for the study region. Getis–Ord G i * (Getis and Ord 1992; Ord and Getis 1995), a geostatistical tool was used for identifying statistically significant hot and cold spot concentration.

$$G_{i}^{*}=\frac{{\mathop \sum \nolimits_{{j=1}}^{n} {w_{i,j}}{x_j} - \bar {X}\mathop \sum \nolimits_{{j=1}}^{n} {w_{i,j}}}}{{S\sqrt {\left[ {n\mathop \sum \nolimits_{{j=1}}^{n} {w^2}_{{i,j}} - {{\left( {\mathop \sum \nolimits_{{j=1}}^{n} {w_{i,j}}} \right)}^2}} \right]/\left( {n - 1} \right)} }}$$
(8)
$$\bar {X}=\frac{{\mathop \sum \nolimits_{{j=1}}^{n} {x_j}}}{n}$$
(9)
$$S=\sqrt {\frac{{\mathop \sum \nolimits_{{j=1}}^{n} x_{j}^{2}}}{n}} - {\left( {\bar {X}} \right)^2}.$$
(10)

where xi is the attribute value for feature j, wi,j is the spatial weight between feature i and j, n is the total number of sample points.

Spectral Indices

A few spectral indices were utilized in this study to characterize and assess the changes in the land surface features. The impervious surface indices used were; Urban Index (UI) (Kawamura et al. 1996), Normalized Difference Built-up Index (NDBI) (Zha et al. 2003), Index-based Built-up Index (IBI) (Xu 2008), New Built-up Index (NBI) (Jieli et al. 2010), Enhanced Built-up and Bareness Index (EBBI) (As-syakur et al. 2012) and Normalized Difference Impervious Index (NDII) (Wang et al. 2015). UI (Eq. 11), exploits the inverse relationship between the brightness of urban areas in near infrared (0.76–0.90 µm) and mid-infrared (2.08–2.35 µm) portions of the spectrum (Kawamura et al. 1996). NDBI (Eq. 12), which works with the assumption that the spectral reflectance of urban areas in TM5 exceeds that in TM4 maps the built-up areas within a region of interest. It was computed from the short-wave infrared (SWIR1) and near-infrared (NIR) band (Zha et al. 2003). The IBI applies the use of thematic Index-derived bands to construct an index rather than by the original image bands (Xu 2008) and was computed using Eq. 13. NBI (Eq. 14), takes advantage of the spectral response of the red, shortwave infrared and near-infrared bands for extraction of built-up areas (Jieli et al. 2010). EBBI (Eq. 15), applies the wavelengths of near infrared, shortwave infrared and thermal infrared bands for built-up and bare land extraction, based on the characteristics of built-up and bare land areas (As-syakur et al. 2012). NDII is an index developed by Wang et al. (2015) for estimation and extraction of urban impervious surface areas. It was computed from the visible (Vis) and thermal (TIR) band (Eq. 16).

Vegetative indices, Normalized Difference Vegetation Index (NDVI) (Tucker 1979), Soil Adjusted Vegetation Index (SAVI) (Huete 1988) and Enhanced Vegetation Index 2 (EVI2) (Jiang et al. 2008) were also applied. NDVI (Eq. 17) which signifies vegetation health was computed from the near-infrared (NIR) and red band of the reflectivity. It differentiates well-vegetated areas from less vegetated areas. NDVI values are from − 1 to + 1 and low values (negative values) implies poor vegetation health which usually occurs around less vegetated areas while high values (positive values) implies vegetation abundance. SAVI (Eq. 18), was modified from NDVI as a result of the influence of soil brightness due to low vegetation cover (Huete 1988). EVI2 (Eq. 19), was developed by decomposing the Enhanced Vegetation Index (Liu and Huete 1995) into a 2-band EVI by relating the blue band to the red band (Jiang et al. 2008).

$$UI=\frac{{SWIR2 - NIR}}{{SWIR2+NIR}}$$
(11)
$$NDBI=~\frac{{\left( {SWIR1 - NIR} \right)}}{{\left( {SWIR1+~NIR} \right)}}$$
(12)
$$IBI=\frac{{\frac{{2*SWIR1}}{{SWIR1+NIR}} - \left[ {\frac{{NIR}}{{NIR+RED}}+\frac{{GREEN}}{{GREEN+SWIR1}}} \right]}}{{\frac{{2*SWIR1}}{{SWIR1+NIR}}+\left[ {\frac{{NIR}}{{NIR+RED}}+\frac{{GREEN}}{{GREEN+SWIR1}}} \right]}}$$
(13)
$$NBI=\frac{{RED*SWIR1}}{{NIR}}$$
(14)
$$EBBI=\frac{{SWIR1 - NIR}}{{10*\surd \left( {SWIR1+TIRS} \right)}}$$
(15)
$$NDII=~\frac{{\left( {Vis - TIR} \right)}}{{\left( {Vis+~TIR} \right)}}$$
(16)
$$NDVI=~\frac{{\left( {NIR - RED} \right)}}{{\left( {NIR+RED} \right)}}$$
(17)
$$SAVI=\left( {1+L} \right)*\frac{{\left( {NIR - RED} \right)}}{{NIR+RED+L}}~$$
(18)
$$EVI2=2.5\frac{{NIR - RED}}{{NIR+2.4*RED+1}}$$
(19)

In examining the relationship between the spectral indices and land surface temperature, statistical analysis was performed. Correlation between the land surface temperature and spectral indices was examined which revealed the spectral index with the strongest correlation with land surface temperature. The index was then used for estimation of land surface temperature using linear regression model. Statistical measures which include Root Mean Square Error (RMSE), Coefficient of Efficiency (COE) and the Index of Agreement (IOA) were employed for evaluating the model performance.

Results and discussion

Land use land cover analysis

The Landsat images of Ibadan classified into 6 different land use land cover types (barren land, scattered vegetation, thick vegetation, water body, light vegetation and built-up) for 1984, 2000 and 2016 are shown in Fig. 3. It was observed that zones 1–5 was the major settlement area in 1984 and was the main urbanized region of the land cover, though few settlements were found in other zones. Urban sprawl was evident in 2000, as built-up increased outwards from zones 1–5 and expanded into the other surrounding zones. This represents the early stages of the development around the zones 6–11. As at 2016, further development of zones 6–11 had occurred with the further expansion of built-up from zones 1–5 to zones 6–11. The continual increase in built-up area which represents urban expansion is expected with the steady increase in the population of Ibadan (Table 3). According to the National Population Commission (NPC), the population of Ibadan has increased since 1991 (which represents years after the 1984 study period) from 1,835,300 to a projected population of 3,034,206 in 2011. The population density of each zone (Fig. 4) shows an increase in the population density of each zone but particularly, zones 1–5 were more densely populated than other zones which indicates the pressure on the land surface with increased population.

Fig. 3
figure 3

Land use classification maps of Ibadan for a 1984, b 2000 and c 2016

Table 3 Total population of Ibadan
Fig. 4
figure 4

Population density of each local government zone

In order to reveal the changes in the land use land cover classes, the area coverage of the land cover classes was extracted for each year and plotted (Fig. 5). Thick vegetation which occupied majority of the land cover was 272.18 (hectares in thousands) in 1984, barren land, light vegetation and scattered vegetation were 22.76, 23.07 and 10.75 (hectares in thousands) while built-up was 11.73 (hectares in thousands). In 2000, thick vegetation and scattered vegetation reduced to 173.89 and 2.85 (hectares in thousands) respectively while the other land uses increased. In 2016, the area coverage of built-up increased to 54.64 (hectares in thousands). The gains and losses described what percentage of land use land cover class was converted from other classes to the land cover type and from a particular class to other land use types. The gains and losses in land cover areas (Fig. 6) showed that about 19% of the thick vegetation was converted to other land cover types from 1984 to 2000. This was the highest conversion that occurred for any land cover type for that period. About 3.5 and 2% of Light vegetation and scattered vegetation were also lost to other land use and cover types respectively. The loss in built-up and water body was relatively small compared to the other land cover types. Barren land gained the most from other land use land cover types, followed by light vegetation and built-up at 14, 7 and 1.8%. From 2000 to 2016, about 11% of barren land was lost to other land cover types, 7% of light vegetation was converted to other land use types and 6% of thick vegetation was converted to other land use types. Thick vegetation experienced the highest gain in land cover area as 8% of other land cover types were converted to it, about 7% of other land use types were lost to built-up, 5% were lost to light vegetation, 2.5% were lost to barren land and 1% was lost to scattered vegetation. The gains and losses for the land use types for 1984–2016 show that 17% of thick vegetation was lost to the other land use types which was the most compared to the other land use types. Light vegetation lost about 4%, scattered vegetation lost about 2% while barren land lost about 1%. Built-up, barren land and light vegetation gained 8, 7 and 6%, respectively. It was noted that water body experienced little variation all through the period of study. The net change in land cover area (Fig. 7) showed percentage increase of 14, 1.8 and 4% between 1984 and 2000 for barren land, built-up and light vegetation respectively while thick vegetation and scattered vegetation decreased by 18 and 2%, respectively. Between 2000 and 2016, built-up increased tremendously by 7%, while barren land decreased significantly by 8%. The net change of thick vegetation and scattered vegetation from 1984 to 2016 were about 17% and 1.8% loss, while that of barren land, built-up and light vegetation were 6, 8 and 2.8%, respectively. Contribution to the net change in the land use land cover types between 1984 and 2016, shown in Fig. 8 revealed that thick vegetation was the highest contributor to change in built-up with 4.5% of the area converted to built-up. 1.8 and 1.2% of the light vegetation and scattered vegetation area were converted to built-up respectively, while barren land contributed 0.4% to increase in the built-up area. All the land use land cover types contributed to the increase in the area coverage of built-up except for water body which remained relatively unchanged. For the thick vegetation which occupied the greatest area coverage of all the land use land cover types, there was conversion of portions of thick vegetation into other land use land cover classes indicated by the negative values (Fig. 8d). the largest portion of the thick vegetation area converted was to barren land with about 12% of the area converted.

Fig. 5
figure 5

Distribution of land use by area (hectares in thousand) for the study period

Fig. 6
figure 6

Gains and losses in land cover areas by percentage between a 1984 and 2000 b 2000 and 2016 c 1984 and 2016

Fig. 7
figure 7

Net change in land cover areas between a 1984 and 2000 b 2000 and 2016 c 1984 and 2016

Fig. 8
figure 8

Contributions to net change in a built-up, b barren land, c water body, d thick vegetation, e light vegetation and f scattered vegetation between 1984 and 2016

The accuracy of land use land cover classification was performed on the classified images of Ibadan (Table 4). Equalized random points were generated for each classified image which was then compared with the reference data. The overall classification accuracy was 84.09, 84.48 and 83.33% for 1984, 2000 and 2016 respectively. The overall Kappa coefficient was 0.8056 for 1984 classified image, 0.8115 for 2000 classified image and 0.80 for 2016 classified image while the Kappa coefficient for the land use land cover types ranged from 0.6602 to 1.00 for all the classified images. This indicated reasonable level of classification accuracy.

Table 4 Land use land cover classification assessment for each year

Analysis of land surface temperature and spectral indices

Land Surface temperature which is a pointer to the existence of surface urban heat island (Ishola et al. 2016a) was estimated from the satellite image over Ibadan for the period of study (Fig. 9). The LST which ranged from < 22 to > 28 °C in 1984 indicated the presence of surface urban heat island within the major developed areas of zones 1–5. The highest LST existed at the urban centre with the lower surface temperatures occurring around the less populated zones. The LST for 2000 ranged between < 22 and > 29 °C. The LST of the built-up varied between 27 °C to above 29 °C, with surface urban heat island noticeable within the built-up centre also. An increase in the surface temperature around the North-West part of zone 11 between 1984 and 2000 was observed. This indicates the implication of land use conversion on LST as the vegetated surface in 1984 was converted to barren land. Range of LST for 2016 was 24 °C to > 29 °C. A greater part of the land surface of Ibadan had LST range of 27 °C to > 29 °C compared to that of 1984 which ranged between 22 and 24 °C. This suggests an increase in the average LST of Ibadan from 1984 to 2016.

Fig. 9
figure 9

Land Surface Temperature (LST) for a 1984, b 2000 and c 2016 and d hot spot maps of Ibadan

As stated earlier, the population increase over Ibadan particularly around the zones 1–5, resulted in a rise in the population density. This initiated more conversion of vegetative surfaces to impervious surfaces which resulted into increase in the average LST of the region. The vegetated surfaces were replaced with materials which contributed to higher LST. Similarly, the LST within the zones 6–11 increased as the impervious surface increased within the zones. Rise in LST attributable to transformation of vegetated surfaces to impervious surfaces has been identified as a crucial problem in the world today (Mallick et al. 2008). This agrees with Yuan and Bauer (2007) that stated the influence of vegetation cover on the temperature of the land surface and is observed to play a role in the development intensity of UHI (Rizwan et al. 2008; Corburn 2009; Ayanlade 2016; Sannigrahi et al. 2017). This has also been observed in studies across the globe over different regions (Sahana et al. 2016; Fu and Weng 2016; Khan and Chatterjee 2016; Bokaie et al. 2016; Mushore et al. 2017; Chen et al. 2017).

Surface urban heat island was noted from the spatial distribution of the LST with higher temperatures (> 29 °C) over the built-up centre compared to the surrounding settlements. Similar to the high LST which existed around the North-West part of zone 11 in 2000, the same was noted in 2016 (> 29 °C). The land use cover over this part of zone 11 was vegetated surface in 1984 and had been converted to barren land with pockets of built-up in 2016. This shows that there exist high LST over barren land areas where there is no vegetation to reduce the surface temperature and thus reveals the effect of vegetation cover on LST damping. Hotspot analysis was also carried (Fig. 9d), indicating the area of hot spot and cold spot. The hotspots over Ibadan were noted in areas of urban built-up and also barren land areas, while the cold spots were majorly over the vegetative regions where the LST was in the range of < 26 °C. This further reveals the role played by vegetation cover and the importance in thermal cooling of an area.

The expansion of built-up over the years brings about modification of the land surface and thus has implication on the land surface features. Analysis of the land surface over Ibadan with focus on the impervious and vegetated surfaces was therefore carried out. Figure 10 shows the spatial distribution of impervious surfaces and non-impervious surfaces in 1984 over Ibadan as categorized by the different spectral indices used in this study. A similar variation of impervious surface was observed for all the indices. Nearly all the sections of zones 1–5 were categorized as impervious surfaces while the other zones were majorly non-impervious surfaces with a few impervious surfaces. More areas were categorized as built-up/impervious surface from 1984 to 2000 as revealed by Fig. 11. With the expansion in the built-up area between 1984 and 2000, there was a corresponding increase in the impervious surfaces in Ibadan. The indices clearly revealed the changes that occurred during this period as they all captured the increase in the impervious surface. Further conversion of non-impervious surface to impervious surface occurred between 2000 and 2016 as revealed by the indices (Fig. 12). The impervious surface in Ibadan increased further, occupying a greater area coverage than the earlier years, thus indicating the increased pressure on the land surface. Increase in impervious surfaces due to urbanization was identified as a contributing factor in the 2011 flooding in Ibadan, as the impervious surfaces resulted into decreased infiltration and thus increased volume of flood flow (Agbola et al. 2012; Egbinola et al. 2017).

Fig. 10
figure 10

Spatial distribution of the Impervious surface indices for 1984

Fig. 11
figure 11

Spatial distribution of the Impervious surface indices for 2000

Fig. 12
figure 12

Spatial distribution of the Impervious surface indices for 2016

As mentioned earlier, the increase in impervious surface brings about modification of the land surface features which ultimately affects the surface energy budget and thus the regional climate of a region (Chakraborty et al. 2013; Ogunjobi et al. 2018). To further analyse the variation in the land surface characteristics around Ibadan, the Normalized Difference Vegetation Index (NDVI), Soil Adjusted Vegetation Index (SAVI) and Enhanced Vegetation Index 2 (EVI2) were estimated for the periods of study (Fig. 13). The vegetative surfaces were extracted denoted by the green section (vegetation), leaving the non-vegetative parts (non-vegetation). Comparing the vegetative indices with the impervious surface indices, it was noted that the non-vegetation corresponds to the impervious surfaces while the non-impervious surfaces corresponds to the vegetation. This is expected as the non-vegetation parts are the urbanized areas of Ibadan. A noticeable feature in the vegetative indices was the decrease in the vegetated surfaces and increase in the non-vegetated surfaces with time (from 1984 to 2016). As stated earlier from the land use land cover analysis, large portions of the vegetated surfaces have been modified and it was evident from NDVI, SAVI and EVI2 that conversions have been made to non-vegetated surfaces.

Fig. 13
figure 13

Spatial distribution of the vegetative indices for 1984, 2000 and 2016

Regression analysis

Correlations between the LST and the spectral indices were carried out in order to examine the relationship between them (Table 5). The vegetative indices (NDVI, SAVI and EVI2) were negatively correlated with LST and the impervious surface indices all through, indicating an inverse relationship. The correlation values for LST and the vegetative indices were − 0.719 for NDVI, − 0.683 for SAVI and − 0.724 for EVI2. For vegetative and impervious surface indices, the values ranged between − 0.675 and 0.879. There was a significant positive relationship between LST and the impervious surface indices, p < 0.05, at 95% confidence level. All the impervious surface indices had very strong positive correlations with LST with values that ranged from 0.821 to 0.867, except for NDII that had a correlation value of 0.439. This suggests that, with the consistent high correlation between the other impervious surfaces and LST, the other indices are reasonable predictors of LST except for NDII. However, UI was used for model estimation as it was the index with the highest correlation with LST. The estimated (modelled) LST was compared with the derived (Landsat) land surface temperature by extracting values from sample points across each LST (Fig. 14). The modelled LST showed similar distribution to that of the derived LST, with residual values ranging from − 0.8 to 0.87 °C. The negative residual values represent overestimation of model while the positive residuals represent underestimation. Compared to the derived LST, the model estimation was reasonable. To further evaluate the regression model performance, statistical comparison was carried out (Table 6). The coefficient of correlation between the LSTs was 0.956 while the root mean square error was 0.354 °C. The Coefficient of Efficiency (COE) was 0.684 indicating the predictability advantage of the regression model (Legates and McCabe 1999, 2012). The Index of Agreement (IOA) was 0.842 and this indicates good model performance (Willmott et al. 2012). The general assessment of the regression model showed good model performance which therefore shows the predictability capability of UI for land surface temperature and corresponding surface urban heat island phenomenon.

Table 5 Correlation matrix of land surface temperature and spectral indices
Fig. 14
figure 14

Derived and regression modelled land surface temperature

Table 6 Error analysis of modelled LST

Conclusion

This study examined the modifications that have occurred in the land use land cover over Ibadan city and its implication on the thermal structure of the area. Indication of anthropogenic disturbance was identified as the possible cause of the prominent changes that have occurred over time which were the loss in thick vegetation and increase in urban built-up areas. Several studies have presented the influence of man on the natural environment and this has been confirmed in this study. This information is vital in the urban planning sector and could help with future planned urbanization as majority of the urbanization process around Ibadan are unplanned. It is also important to note that this information is crucial for mitigation of the increased urbanization effect such as increased land surface temperature and development of surface urban heat island. More focus is given to clearing of thick vegetation and replacement of natural vegetative surfaces with impervious surface particularly within the urbanized regions without any consideration of the effect on the local climate of the region. Increase in the land surface temperature was noted over the period of study and this is likely to increase with further land cover changes. This hereby calls for well-planned strategies for incorporating green areas in Ibadan which will help mitigate the corresponding implication of loss of vegetation in the urbanized areas. Additionally, consideration should be given to the bioclimatic conditions over areas like Ibadan where population growth is on the continual increase. Furthermore, more attention should be given to the environmental consequences of increased impervious surfaces within the region such as susceptibility to flooding of areas dominated with impervious surfaces. With the continual increase in the population of Ibadan city, it is imperative that the land surface features be monitored due to the implication of further modification of the land use land cover.