Introduction

Forests are critical agents for socio-ecological systems of mountains (Pandey and Jha 2012) and provide various kinds of goods and ecosystem services to humans (Costanza et al. 2007). Intergovernmental Panel on Climate Change (IPCC) has clearly flagged that changing climate has impacted the social and ecological systems (IPCC 2014). Therefore, compromised deliverables of forest ecosystems may lead for the challenges to the coexistence of forests and communities. Moreover, researchers argued that the forests are vulnerable to changing climate, occurrence of extreme climatic events and human-induced disturbances (Gerlitz et al. 2017; Sharma et al. 2017). The vulnerability of forest due to climate change is adjudged by changes in the phenological characteristics (Bertin 2008; Pau et al. 2011), tree line shifts (UAPCC 2014), changes in distribution of forest type (Ravindranath and Sukumar 1996; Chaturvedi et al. 2011; Gopalakrishnan et al. 2011; Upgupta et al. 2015; Devi et al. 2018) and forest productivity (Pan et al. 2015; Yongxiang et al. 2015). The productivity and biodiversity of the Himalayan forests are under the influence of climate change (Ravindranath and Sukumar 1996; Gopalakrishnan et al. 2011; Sharma et al. 2015; Upgupta et al. 2015). With this conclusion, it can be argued that the future projected climate led changes in forests would make them vulnerable, which may harm the existing alignment between the forests and communities.

We consider vulnerability as the degree to which a system is susceptible to and is unable to cope with adverse effects. More lucidly, vulnerability is a function of exposure to climate impacts, including variability and extremes, and the sensitivity and adaptive capacity of the system being exposed (Parry et al. 2007). Vulnerability is subject specific and can be explained in many ways (Gallopín 2006; Füssel 2007). Quantification and representation of vulnerability as some numerical value is difficult (Alwang et al. 2001). Developing robust and credible measures of vulnerability is a challenge (Adger 2006) and depends on the choice of definition and measurement protocol (Kurosaki 2010).

Vulnerability assessment of forest ecosystem requires a comprehensive understanding of various biotic and abiotic factors responsible for forest growth (Kumar et al. 2018). The integration of various components would be complex as the intricacies of direct measurement of these factors are very high (Sharma et al. 2013). Vulnerability of forest ecosystem is modulated by stress imposed by climatic changes that is beyond the capacity to overcome or adapt to stress (Blaikie et al. 2014; Pandey and Bardsley 2015) and can be expressed as the difference between sensitivity and adaptability (Yongxiang et al. 2015; Zhang et al. 2017). Sensitivity refers to the response degree of the ecosystem to environmental change, expressed as the inter-annual variability (e.g. trend of NPP) during the period of assessment for ecosystem under evaluation (Yongxiang et al. 2015; Zhang et al. 2017). Ecosystem adaptation signifies the self-regulation tool of the ecosystem, regarded as a measure of maintenance of the system in a relatively stable state (IPCC 2014; Sharma et al. 2017). The deviation in steady state, a measure of adaptation is determined by the trend of the variability of an ecosystem during a fixed period (Coulson and Joyce 2006).

The vulnerability of forest describes particularly the degree of alteration of forest type distributions and carbon-related functions (such as NPP expressed as Mg carbon ha−1 year−1 and soil organic carbon) due to climate change. In recent years, various methods and models have evolved and have been applied for the assessment of forest vulnerability (Quillet et al. 2010; Chaturvedi et al. 2011; Zhang et al. 2017; Kumar et al. 2018). Most of these methods and models assume forest deliverable such as NPP as a dependent observational entity with the consideration that the entity has compounded impacts of all biotic and abiotic factors (Yongxiang et al. 2015; Zhang et al. 2017). NPP, the difference between gross primary productivity (GPP) and autotrophic respiration (AR), is resultant of the various physiological processes of the plant as per the biotic and abiotic structure associated with the plant. Spatial and temporal variations of NPP is influenced by several factors including climate change (Cao et al. 2004; Li et al. 2015). NPP is commonly used as an index to reflect ecosystem response to climate change (McCarthy 2001) and has been shown to correlate with the total value of ecosystem services (Costanza et al. 1998). NPP is the most variable part of the terrestrial carbon cycle and greatly affects inter-annual variations of terrestrial carbon sinks (Cramer et al. 1999). An increase in temperature, for example, could extend the growing season and enhance the NPP (Myneni et al. 1997). These attributes of NPP supported us to focus on NPP trend over a period of climate observation as a measure of sensitivity, adaptability and vulnerability as also suggested by Zhang et al. (2017).

Study at regional level focusing trend analysis of NPP are not available (Jha and Srivastava 2018) although studies have been done over the country level NPP (Nayak et al. 2010; Bala et al. 2013). The terrestrial NPP of India, its quantum, spatial variability, and distribution across seasons is not well understood (Chhabra and Dadhwal 2004). Bala et al. (2013) examined the role of abiotic factors such as temperature, precipitation, atmospheric CO2 concentration, soil water and downward surface solar radiation on the evolution of NPP at national level for India and it was observed that increasing trend of NPP is driven by these abiotic factors. Productivity is under the influence of climatic parameters (Zhang et al. 2014) and productivity of global terrestrial ecosystems are associated with temperature and precipitation (Li et al. 2015). For Indian Forests, NPP is driven by CO2 concentration followed by precipitation and temperature (Bala et al. 2013). Chhabra and Dadhwal (2004) calculated area-weighted terrestrial NPP of India. However, the study lacked analysis of influence of climatic factors. Furthermore, Bala et al. (2013) studied the trends of NPP for entire India along with the analysis of its relationship with climatic parameters.

Materials and methods

Study area

The study was conducted in the state of Uttarakhand (28°43′–31°28′N, 77°34′–81°03′E) (Fig. 1), a part of Indian Western Himalayan (IWH) region. The IWH region is a mega-biodiversity zone having water catchment for a number of rivers that provides water to the downstream states for agriculture and consumption. The region indirectly feeds a significant section of the country’s population (Ministry of Environment & Forests 2010). The geographical area of Uttarakhand state is 53,483 km2, extending approximately 320 km in east–west and 250 km in north–south direction. The state has tropical to temperate climate. The temperature in the state ranges from sub-zero in winter to 43° in summer (FSI 2015). The average annual rainfall is 1550 mm. Total forest cover of the State is 38,000 km2, which is 63.42% of its geographical area (FSI 2017). Dominant forest type groups according to the Champion and Seth (1968) classification includes Himalayan moist temperate forests, sub-tropical pine forests, tropical moist deciduous forests (FSI 2011) (Fig. 2). The soil types in the state are alluvial, alluvial mixed with boulders and shingles, alluvial sandy soil, residual sandy loam, sandy loam, red to dark and red to black clay (UAPCC 2014).

Fig. 1
figure 1

Location of the study area showing elevation ranges derived from NASA Shuttle Radar Topography Mission Digital Elevation Model (SRTM DEM) (https://earthexplorer.usgs.gov/)

Fig. 2
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Percentage distribution of forest density classes during Forest Survey of India (FSI) assessment years 2003–2017. OF open forest, MDF moderately dense forest, VDF very dense forest

The comparison of forest cover density classes during the Forest Survey of India (FSI) assessment period of 2003–2017 reveals that the area under very dense cover and open forest has increased by 24.16 and 6.6%, respectively; while moderately dense has decreased by 10.65% (Fig. 3); with an overall loss of forest area by 0.69%. The decrease in forest area is attributed to management practices, diversion of forest lands for developmental activities (FSI 2015), and increasing pressure on the forest area by the local population (Pandey et al. 2014; Malik et al. 2016). Long-term trends in the maximum, minimum, and mean temperatures over the region during the 20th century suggest a significant rise in air temperature, with winter warming occurring at a faster rate (Bhutiyani et al. 2007). Extent of climatic variability and periodic occurrence of extreme episodic events have been major concerns of the region in recent decades (UAPCC 2014). The study area constitutes of a complex terrain with different altitudes and orientations leading to diverse impacts of climate change with likely impacts on ecosystems in terms of increase in forest fires, increase in glacier melt, shifting of potential habitats of several species and changes in productivity of agricultural and forestry systems. Extent of climatic variability and periodic occurrence of extreme episodic events have been major concerns of the region in recent decades. The ecosystem of the region is frequently exposed to climatic and human induced disturbances which have influence over the net productivity.

Fig. 3
figure 3

Forest type groups of the study area [derived from FSI (2011) digital layer]

Data sources and method

NPP data, climatic variables and software used

Remotely sensed data of U.S. National Aeronautics and Space Administration (NASA) Earth Observing System (EOS) of Moderate Resolution Imaging Spectroradiometer (MODIS) was used to obtain the estimate of annual NPP (Mg-C ha−1 year−1) at 500 m spatial resolution (Running et al. 2015). The modelled annual NPP (MOD17A3H) since 2000 and continuing to the present are archived at NASA DAAC—Distributed Active Archive Center (DAAC 2008). Spatial layers of annual NPP for the period 2000–2014 were downloaded as NetCDF file (Rew and Davis 1990) at 500 m spatial resolution from the NASA DAAC archive and the climatic variables of 11 years (2004–2014) observations for Mean Temperature (TMP, °C), Total Precipitation (PRE, mm) and Wet days’ frequency (WET, rain days per month) were obtained from the Climatic Research Unit (CRU), University of East Anglia (UEA), UK (CRU TS v. 4.01) (Harris et al. 2014) as NetCDF format at 30 min spatial resolution. Climate Data Operator (CDO) software (Schulzweida et al. 2006) was used to process NetCDF files for the analysis of variability and trend. Nearest neighbour remapping method of CDO was used to upscale NPP from 500 m to the grid size resolution of 5 and 30 min for the analysis and visual representation. ArcGIS (10.1) software was used for the cartographic representation. The values of NPP were carefully scrutinized and inconsistency in the data was observed between the years 2001 and 2003 which have significantly high values in comparison to other years, therefore only the consistent data sets of years 2004–2014 were considered for the vulnerability analysis.

Trend analysis of NPP and calculation of vulnerability

Entire study area was divided into grids of size 0.5° × 0.5° (i.e. 30 min) equivalent to the grid size of available climatic data. All those grids having its geographical area > 5% under forest cover were marked as “forest grids”. Such grids are 22 in number (Fig. 4). Vulnerability analysis was done only for those identified forested grids by analyzing the trend of NPP for the period 2004–2014 at a spatial resolution of 5 min. We used the concept of vulnerability that combines the two criteria, sensitivity and adaptability. The vulnerability of the ecosystem can be expressed as:

$$V = S - A$$

where V, S, and A represent the vulnerability, sensitivity and adaptability of the ecosystem, respectively (Yongxiang et al. 2015; Zhang et al. 2017). For a particular ecosystem, sensitivity refers to the response degree of the ecosystem to environmental change, expressed as the inter-annual variability of NPP during the period. The sensitivity was considered as the inter-annual fluctuation of ecosystem function (Zhang et al. 2017) and calculated as the degree of dispersion of the average value from 2004 to 2014.

$$S = \mathop \sum \limits_{i = 1}^{n} |F_{i} - \bar{F}|/\bar{F}$$

where S is the sensitivity of the ecosystem, \(F_{i}\) is the value of NPP during the period (2004–2014), \(\bar{F}\) is the average value of NPP for the ‘n’ number of years.

Fig. 4
figure 4

Spatial distribution of MODIS derived NPP over forest grids (averaged value for the period 2004–2014)

Ecosystem adaptation signifies the self-regulation tool of the ecosystem, regarded as a measure of maintenance of the system in a relatively stable state. For a certain period, the trend of variability of an ecosystem is used to measure its deviation from the steady-state and referred as ecosystem adaptation (Coulson and Joyce 2006). The system tends to be relatively stable, if the change trend of variability is reduced or unchanged, whereas an increase in variability suggests an unstable system to adapt to the environmental change and indicates increase in the vulnerability. The adaptation was considered as the maintenance of the relatively stable state or improvement of the ecosystem over a period of assessment in spite of exposure to stressors. The trend of adaptability was expressed by the slope of the linear fitting trend line for the inter-annual variability of the NPP, where increasing NPP trend over a period in spite of exposure to stressors suggests for greater adaptability.

$$y = ax + b$$

where x refers to the natural numbers 1, 2, 3…, corresponding to the years from 2004 to 2014, y is the NPP over observation period and a is the adaptability (trend of NPP variability).

Thematic layers of the sensitivity, adaptability and vulnerability were categorized into four classes namely, low, medium, high and very high classes using ArcGIS 10.1 software using natural breaks (Jenks) algorithm for the forested grids keeping pixel cell size at a resolution of 5 min. Average value of vulnerability for all NPP pixels within a grid size of 0.5° was used to compute the vulnerability at forest grid level; while for calculating the vulnerability at districts level, the averaged value of the pixels within districts were used. The same protocol was followed to map the sensitivity and adaptability at forest grid and district levels.

Results and discussions

Variation of NPP

Spatial variation of the mean NPP and standard deviation over the period (2004–2014) ranged between 0–14.6 Mg-C ha−1 year−1 (Fig. 4) and 0–6.54 Mg-C ha−1 year−1 (Fig. 5), respectively. Chhabra and Dadhwal (2004) reported area-weighted terrestrial NPP of India as 6.66 Mg-C ha year−1 for the period June 1998–May 1999 using SPOT-VEGETATION 10-day NPP composites. Bala et al. (2013) estimated Advanced Very High Resolution Radiometer (AVHRR)-derived NPP for the Indian Himalayan forests as ~ 8 Mg-C ha−1 year−1. The spatial average NPP during 2004–2014 for the study region ranged between 3.41 and 4.06 Mg-C ha−1 year−1. NPP has an increasing temporal trend during the period 2004–2014 (Fig. 6) with the mean, standard deviation and standard error of estimate as 3.72 Mg-C ha−1 year−1, 0.21 Mg-C ha−1 year−1 and 0.06 Mg-C ha−1 year−1, respectively. Bala et al. (2013) also observed increasing trends of AVHRR-derived NPP over India for the assessment period 1982–2006. They reported that the fluctuation in the NPP estimate between the years may be guided by the biotic and abiotic influences.

Fig. 5
figure 5

Spatial pattern of MODIS derived standard deviation of NPP for the period 2004–2014

Fig. 6
figure 6

Temporal evolution of spatial distribution of 15 years (2000–2014) averaged NPP. Exceptionally high values of NPP are shown in oval circle. NPP values not considered for this study is shown as red squared dots

Spatial pattern of climatic variables and its relationship with NPP

We analyzed the spatial pattern of precipitation and temperature and attempted to establish relationship between climatic parameters and NPP for the study region. The average annual temperature of the region varied from 6 to 25.30 °C (Fig. 7a). The regions of high productivity were mainly concentrated in the areas of middle range temperature, while the regions with very high or very low temperature depict low productivity (Fig. 4). Productivity of the region was also influenced by the amount of rainfall and the number of rain days in a month. Averaged annual precipitation ranged between 57.62 and 92.08 mm (Fig. 7b), while the wet day’s frequency ranges between 3 and 6 rain days per month (Fig. 7c). Regions with high productivity were mainly concentrated in forests which receive high rainfall and higher number of monthly rain day’s frequency. Relationship of three climatic variables (TMP, PRE and WET) was established with the NPP using correlation coefficient (r) and it was observed that there is very weak negative relationship of NPP with TMP (r = − 0.06) (Fig. 8a) while PRE and WET depicts a strong positive correlation with NPP having “r” value of 0.83 (Fig. 8b) and 0.85 (Fig. 8c), respectively. The relationship of TMP with NPP suggests that with increasing temperature productivity declines while the total rains and number of rainy days increases the productivity. It can be assumed that climatic variables act as one of the important stressors which have a greater influence on the productivity and thus vulnerability of a forest ecosystem.

Fig. 7
figure 7

Spatial distribution of 15 years (2004–2014) averaged observations: a mean temperature (TMP, °C), b total precipitation (PRE, mm), c wet days’ frequency (WET, rain days per month)

Fig. 8
figure 8

Spatial averaged values: a mean temperature (TMP), b total precipitation (PRE), c wet days’ frequency (WET) and their correlation with spatial averaged NPP; for the period 2004–2014. In each panel, the correlation (r, * shows significant relationship) between NPP and climatic variables is also shown

Spatial pattern of Sensitivity, Adaptability and Vulnerability

Sensitivity, adaptability and vulnerability based on the assessment of NPP were categorized into four classes (low, medium, high and very high) for the assessment period 2004–2014 (Table 1). Sensitivity of most of the region lies between high (59.58%) to very high (22.95%) classes, adaptability of the region mostly falls under high (33.85%) and low (23.78%) classes, while vulnerability of the region is mostly dominated by high (59.42%) and very high (23.12%) classes. The spatial pattern of sensitivity, adaptability and vulnerability of the region is shown in Figs. 9, 10 and 11, respectively. Our results suggest that the forests with low, medium, high and very high vulnerability classes accounted for 5.91, 11.52, 59.42, and 23.12 percent of total forests area. The region of high and very high vulnerability classes are mostly concentrated in the middle and high altitudes. Lower altitudes have relatively low vulnerability which suggests that forests of higher altitudes demand better management practices to sustain the productivity. Although, the vulnerability has been deduced from the individual pixel values of sensitivity and adaptability, it was observed that raking of sensitivity and vulnerability of districts are same. This suggest that vulnerability is mostly guided by the sensitivity whereas adaptability has lesser influence on deciding vulnerability ranking of districts.

Table 1 Area and percentage under different classes of sensitivity, adaptability and vulnerability of the forest grids of Uttarakhand
Fig. 9
figure 9

Spatial variation of sensitivity of productivity (NPP) for the assessment period 2004–2014: a at 5-min pixel resolution, b averaged value at forest grid level

Fig. 10
figure 10

Spatial variation of adaptability of productivity (NPP) for the assessment period 2004–2014: a at 5-min pixel resolution, b averaged value at forest grid level

Fig. 11
figure 11

Spatial variation of vulnerability of productivity (NPP) for the assessment period 2004–2014: a at 5-min pixel resolution, b averaged value at forest grid level

Ranking of districts on the basis of sensitivity, adaptability and vulnerability

Ranking of districts for the sensitivity, adaptability and vulnerability based on the analysis of NPP is presented in Fig. 12 and Table 2. The analysis suggests that forests in the districts of higher and middle altitudes such as Pithoragarh, Chamoli, Uttarkashi, Tehri Garhwal, Rudraprayag, Almora, and Bageshwar have the highest sensitivity of productivity. Forests of Nainital, Udham Singh Nagar, Dehradun, Champawat, Pauri Garhwal and Haridwar lying in relatively lower altitudes have the highest adaptability. Vulnerable forests are mostly concentrated in the districts of higher and middle altitudes having ranking similar to the sensitivity and it was found that forests of Pithoragarh, Chamoli, Uttarkashi, Tehri Garhwal, Rudra Prayag, Almora and Bageshwar are the most vulnerable ones (Table 2).

Fig. 12
figure 12figure 12

Ranking of districts (in decreasing orders) based upon the assessment of productivity (NPP) during period 2004–2014: a sensitivity ranking, b adaptability ranking, c vulnerability ranking

Table 2 Ranking of districts for the sensitivity, adaptability and vulnerability (in decreasing order) based on the analysis of productivity (NPP) for the period 2004–2014

Conclusion

Productivity (NPP) and its inter-annual fluctuations can be used to measure the vulnerability of a forest ecosystem under the influence of climate change. The analysis of NPP during the period 2004–2014 and its relationship with climatic variables suggest that NPP is predominantly driven by the precipitation and number of wet days’ frequency. The analysis reveals that 80% forests of the region are sensitive to the climate, however, less than half of the forest area has the capacity to bounce back to the impacts of climate change. Therefore, it is imperative to further investigate the potential options for improving the adaptive capacity of the forests at one side and evaluate the causes and remedial measures for reducing the sensitivity of the forest of the region, on the other side. Moreover, under the current dynamics of the forests, more than three quarter of forest area is vulnerable. The actions to reduce vulnerability would be highly desired as most of the vulnerable areas are at the middle and high altitudes where large habitation is dependent on the forest resources for their subsistence (Pandey 2013).

The trend analysis of NPP and resultant vulnerability matrices can be a potential tool for prioritizing forest management actions in a region to sustain productivity and overall conservation of forests. The study will assist the modeler and forest mangers across the world who wishes to understand the intricate relationship between forest growth and climate under the constraints of data scarcity. The study provides a direction to consider biological phenomenon for modelling vulnerability with respect to climate change. Moreover, the finding supports that trend analysis of NPP can be a tool for evaluating forest growth under the changing paradigm of climate.