An incentive-based mitigation strategy to encourage coexistence of large mammals and humans along the foothills of Indian Western Himalayas

Escalation of human–wildlife conflict (HWC) is a barrier to the conservation of ecological corridors across the globe. The existing mechanisms to counter HWC are either economically and socially taxing, or ineffective for long-term management. We assessed HWC in the corridor linking the Rajaji and Corbett Tiger Reserves in Uttarakhand, India, and its drivers, along with the benefits derived by local communities from the forest. We designed an innovative incentive-based mitigation mechanism to encourage coexistence of people and wildlife around the corridor. Costs incurred due to conflict and benefits derived from the forest were assessed using semi-structured questionnaire-based personal interviews (n = 757) with representatives from forest dependent households (hh). Fuelwood (1678.7 ± 131 kg hh−1 year−1), fodder (4772 ± 186 kg hh−1 year−1) and green/dry grass (3359 ± 104 kg hh−1 year−1) contributed 3 ± 1%, 6 ± 0.5% and 9 ± 1%, respectively, to the annual income of dependent households. 69% of the households practising agriculture reported crop damage by wild animals, 19% of the households that owned livestock reported livestock loss, and 1.58% reported attack on humans resulting in injuries. The cost incurred due to crop raiding and livestock depredation was US $ 159.83 ± 1.0 hh−1 year−1 and US $ 229.32 ± 34.0 hh−1 year−1, respectively. Crop loss was positively associated with the number of crops grown per season and cultivation of sugarcane, wheat and pulses, and negatively with distance from forest and cultivation of fodder and finger millet. Livestock depredation was negatively associated with distance from forest and positively with number of livestock owned, primarily calves. The accounting profit from cultivating a hectare of land, in the absence of crop depredation by wild animals, was estimated at US $ 3571.84 ha−1 year−1 and US $ 361.44 ha−1 year−1 for the plains and hills, respectively. This value can be used to calculate the payments to be paid to local communities to encourage them to adopt HWC resistant agricultural and pastoralism practices. The net present value of benefits from participating in the payments to encourage coexistence programme for 5 years, discounted at 12%, was US $ 12,875.7 ha−1 for the plains and US $ 1302.9 ha−1 for the hills.


Results
Household (hh) characteristics. Of the total households sampled (n = 757), 52% were male and 48% were female. The households had an average family size of 5.2 ± 0.08 individuals hh −1 , with an average landholding of 1.00 ± 0.07 ha hh −1 . Households in the hills had a comparatively smaller average family size (4.8 ± 0.1 hh −1 ) and landholding (0.38 ± 0.04 ha hh −1 ) than the plains (Table 1). Only 17% of the household members were illiterate while the rest had received a formal education up to the eighth grade or more (Table 1). Comparatively, more people in the plains were educated up to the eighth grade or more than in the hills (Table 1). Households used a combination of wood, liquefied petroleum gas (LPG), kerosene, biogas and cow dung cakes, and only 20% of the households were solely dependent on wood for fuel (Table S1). Wood was the major source of fuel for 90.6% of the households (98.19% in hills; 88.4% in plains) and was supplemented by LPG (67.7%) and others sources ( Table 1). The proportion of households using LPG was higher in the plains (72%) ( Table 1). The average consumption of LPG per household was 0.9 ± 0.03 cylinders per month; lower in the hills (0.21 ± 0.02 cylinders per month) than in the plains (0.8 ± 0.04 cylinders per month). 54.3% of the households relied on a single source of livelihood, 36.5% relied on two sources and 7.4% were engaged in more than two sources (Fig. S1, Table S2). Agriculture was the mainstay of 70% of the households with crop cultivation providing an income of US $ 881. 51 ± 19.0 year −1 . Most of the households (85.4%) supplemented their income by rearing livestock. The average livestock owned per household was 5.25 ± 0.18, which provided an income of US $ 95.9 ± 17.5 year −1 . Households also earned their livelihood through private jobs (14%), labour (14%), pension in case of retired government employees (8.9%), business (8.5%), government jobs (8.5%), and horticulture (0.09%). Off-farm activities provided an average annual income of US $ 1958.57 ± 93.3 year −1 . The average total income of household from all the sources (excluding forest resources income) was US $ 2763.91 ± 377.8 year −1 ( Table 1).
Conflict and cost of living around the corridor. Around 69% of the households practicing agriculture (n = 534) reported crop damage by wildlife ( Table 3). Incidents of crop raiding were higher in the hills (94.7%) than in the plains (Table 3). A total of 15 species of wildlife, comprising of eight herbivores, two primates, three birds, one lagomorph and one rodent, were reportedly involved in crop damage. More than half of the respondents reported that wild pig (31.2%) and Asian elephant (30.1%) were the most problematic species in the region (Fig. 1). Rice fields were raided the most (0.44 ± 0.02 ha hh −1 ), along with wheat (0.09 ± 0.02 ha hh −1 ) and sugarcane (0.004 ± 0.00 ha hh −1 ; Table S4). www.nature.com/scientificreports/ Around 19% of the households that owned livestock (n = 647) reported livestock depredation, of which 81.4% attributed the incidents to leopards and 17.1% to tigers. Calves (42.1%) and adult cows (34%) were the victims of these large carnivores most frequently (Fig. 2). Livestock depredation mostly occurred inside the forest (75%), while about 25% occurred in residential areas. The incidents of livestock depredation was almost equal in the hills and the plains ( Table 3). Cases of human injury/attacks (1.58% of hh) were also reported.
The respondents incurred average costs of US $ 159.83 ± 1.0 hh −1 year −1 and US $ 229.32 ± 34 hh −1 year −1 due to crop raiding and livestock depredation, respectively ( Table 3). The costs incurred due to crop raiding and livestock depredation were greater in the plains ( Table 3). The overall cost of wildlife conflict in the hills (US $ 77.11 ± 9.4 hh −1 year −1 ) and plains (US $ 352.78 ± 27.5 hh −1 year −1 ) reduced the income of the respondents by 3.6% and 11.6%, respectively ( Table 3). All hotspots of conflict were located in the western and central-southern part of the corridor, with villages Judu and Aeta in the hills and villages Daalipur and Laldhang in the plains identified    Factors governing human-wildlife conflict. The receiver operating characteristic (ROC) curves for crop raiding and livestock depredation were 0.82 ± 0.01 (95%) and 0.73 ± 0.02 (95%), respectively, indicating good fits of regression. Crop loss was positively associated with number of crops grown per season and cultivation of sugarcane, wheat and pulses, while the association was negative with distance from the forest and cultivation of fodder and finger millet ( Table 4). The likelihood that livestock depredation will occur increased with increasing number of indigenous buffaloes and calves (Table 4).
People's attitude towards wildlife conservation. In spite of HWC, 68.8% of respondents showed a positive attitude towards wildlife conservation, while 15.7% had a negative attitude, and the rest (15.5%) were indifferent. Higher percentage of male respondents (77.3%), people living farther (> 2 km) from the periphery of the forest corridor (76%), people living in the plains (61.9%), old people (59.1%), people not involved in agriculture (59.6%), people without livestock (57.5%) and people not extracting resources from the forest (67.7%) exhibited a positive attitude towards wildlife conservation (Fig. 4). The likelihood that a person will show a positive attitude towards wildlife conservation decreased if he or she resided in the hills and if there was more wildlife (Table 4).
Payments to encourage coexistence (PEC). The annual accounting profit from cultivating a hectare of land, in the absence of crop depredation by wild animals, was estimated at US $ 3571.84 ha −1 for the plains and US $ 361.44 ha −1 for the hills. The net present value (NPV) of the benefits to the local communities from participating in the PEC programme for 5 years, discounted at 12%, is US $ 12,875.7 ha −1 and US $ 1302.9 ha −1 , for the plains and the hills, respectively, which is the profit from not cultivating a hectare of land ( Table 5). The accounting profit and NPV is calculated on a per-hectare basis; therefore, the amount payable will be proportionate to www.nature.com/scientificreports/ the land cultivated by a particular household. The incentives are proposed to be paid to the farmers for the land on which they abstain from all forms of agricultural practices for a duration of 5 years. The profit from not cultivating the land and participating in the programme will be greater than the profit from cultivating, since the payment made to the farmers will cover the costs incurred due to crop damage as the estimated NPV is the profit earned without crop depredation by wild animals. Furthermore, there are hidden   www.nature.com/scientificreports/ costs of HWC, such as increased food insecurity, risk of injury and death from guarding, psychological and social costs 20,29,30 , which can be avoided under the proposed programme.

Discussion
The Terai-Arc Landscape (TAL) in the foothills of the Himalaya, is among the 200 globally important eco-regions in the world 31 . It's a transboundary landscape encompassing an area of 49,500 km 2 between River Yamuna in the west and River Bhagmati in the east, in India and Nepal, respectively. Around 15 PAs exist in the landscape including five TRs viz., Rajaji, Corbett, Pilibhit, Dudhwa and Valmiki (west to east), in the Indian part of the landscape. This landscape provides shelter to several species of conservation concern viz., tiger (Panthera tigris), leopard (Panthera leo), sloth bear (Melursus ursinus), Himalayan black bear (Ursus thibetanus), Asian elephant (Elaphus maximus), greater one-horned rhinoceros (Rhinoceros unicornis), Himalayan serow (Capricornis sumatraensis) and hog deer (Axis porcinus). The Rajaji and Corbett TRs in the western Himalayan foothills support a tiger population that is genetically distinct from the tigers in Valmiki TR, located in the eastern region of the landscape 32 . Apart from tiger, this region supports a population of ~ 2040 elephants distributed in six isolated populations 12,33 . The Rajaji-Corbett forest corridor is vital for the free movement and exchange of genetic material between the western and eastern part of the foothills in India and Nepal. Additionally, this forest corridor provides an array of ecosystem services integral to the wellbeing of local communities 7 . Thus, intactness of the corridor is crucial for maintaining the gene pool and for the wellbeing of the local communities residing in this landscape.
For the rural communities residing in and around this corridor, the forest has remained a major source of fuelwood, fodder and food, for both sustenance and income generation 6 . The overall extraction of forest resources has increased in comparison with the findings of an earlier study around the corridor 6 . This could be attributed to the increase in human population in the area, since the consumption of forest biomass per household has reduced due to the availability of alternative energy sources, namely LPG and kerosene. A large proportion of households (70%) in the hills is still dependent on the forest for fuelwood, perhaps due to habitual or traditional dependence on the forest for biomass 6 combined with lack of alternatives or difficulty in accessing modern and efficient resources. The contribution of forest resources to the household income was greater in the hills than in the plains.
Our study showed that HWC is a serious issue around this forest corridor. Among the crop raiders, Asian elephants and wild pigs were reported as the main problematic species in the area affecting the household income considerably. In almost all the elephant-range countries where elephants survive in fragmented and disturbed habitats, crop raiding has been reported [34][35][36][37] . Crop raiding by animals may be due to a higher sugar content, and lower fibre and secondary defensive chemicals content in crops compared to their wild counterparts 38 . Elephants have a natural preference for derivatives of plants from the family Gramineae, including wheat and rice 39 . Moreover, wild pigs can dig burrows and screen themselves from guards in crops such as sugarcane and maize, which grow to heights of more than 2 m 40 .
Most of the respondents reported that the cases of livestock depredation occurred in the forest while grazing. The attacks on livestock may also be due to the high density of livestock around the forest corridor. Sangay and Vernes 41 also identified leopard as the major predator of livestock in human-dominated landscapes. Leopards preyed more on calves, cows and goats compared to other livestock. Patterson et al. 42 speculated that body size and availability of prey species govern the selection of prey species. Leopards, weighing 30-40 kg, take prey in the weight range of 25-50 kg 43 ; leopards in India take prey generally weighing less than 50 kg 44 . Our results match the trends of these studies, which were conducted in the wild. Calves, being small and weighing less than 25 kg, may be easy prey for leopards in the forest. Human injuries or deaths mostly occurred as a result of chance encounters with elephants or leopards.
Our results mirror findings of other studies [45][46][47] where likelihood of crop damage was negatively associated with the distance from the forest, and positively associated with cultivation of wheat, sugarcane and pulses, and number of crops cultivated. Likelihood of livestock loss was positively associated with the presence of calves and indigenous buffaloes. We found that crop loss and livestock loss are functions of multiple factors [45][46][47] .
People residing in plains supported wildlife conservation, similar to the findings of Badola 7 , which may be credited to the high literacy rate and availability of alternative livelihoods. However, the people in the hills were not very positive towards wildlife conservation, which may be due to their higher dependence on agriculture and some recent and frequent incidents of crop damage and livestock attacks. Our results revealed that support for wildlife conservation by the people decreased with increase in wildlife population.
The positive attitude of the people towards wildlife conservation might alter in the future when the continuous and increased losses to their crops and livestock become excessive, which may be calamitous to the conservation of the corridor. Physical barriers like electric fencing and brick or stone walls have proven to be ineffective in the study area, since the electric fence and stone or brick walls were broken by elephants, and the local communities were unable to maintain it as it was physically, socially and economically taxing. Additionally, guarding crops against elephants has a high risk of human injury or casualty. Compensations offered for damage incurred are insufficient and subject to processing delays and corruption 18 . Furthermore, the people suffering losses due to HWC refrain from filing the claim due to the high transaction cost (physical, economic and social) that is incurred in the form of documentation, multiple visits to government offices, procedural delays etc. 48 . Insurance schemes are subject to issues of moral hazard, adverse selection and fraudulent claims due to difficulties associated with verification of damage and investment in damage avoidance 49 . Given the socioeconomic profile of the local communities, there is a high risk of running out of pooled funds in case of multiple claims, making micro insurance schemes unviable. An effective and sustainable HWC mitigation strategy must address issues of both biodiversity conservation and poverty alleviation. www.nature.com/scientificreports/ The proposed incentive-based mitigation strategy viz., payments to encourage coexistence (PEC), is based on the principles of PES wherein the custodians of an ecosystem are paid by the beneficiaries of the ecosystem services, and the payment is conditional on the supply of the ecosystem services or the adoption of certain management practices that are subject to monitoring under the terms of the contract. PES has been implemented across the globe to incentivize landowners to encourage land management practices that promote environment conservation and enhance the flow of select ecosystem services, with varying degrees of success. Grima et al. 50 analysed the performance of 40 PES programmes associated with provision of water in Latin America, and classified 23 cases as successful and 12 as partially successful. The Produtor de Água and Conservador das Água watershed PES programmes, implemented in the Brazilian Atlantic forest to improve water quality and quantity in the Cantareira water supply system through soil and water conservation activities, has resulted in an additional 2.8-5.6% of farm area coverage under Atlantic forest over a 5-year period through forest regeneration 51 . The 'Grain for Green' programme has led to the establishment of 29.1 × 10 6 ha of forest in 25 provinces in China through conservation of natural forest, afforestation of farmland and degraded land, and establishment of fruit tree plantations 52 . Tuanmu et al. 53 examined the impact of the Natural Forest Conservation Program in China on giant panda habitat in Wolong Nature Reserve and noted that areas monitored by local residents showed greater improvement in habitat compared to areas monitored by the local government, provided they are adequately paid.
Under the proposed PEC programme, financial assistance will be given to local communities to encourage coexistence with wildlife by mitigating HWC through behaviour change and opportunities to explore alternate livelihoods, in order to ensure the functionality of the forest corridor. The intended beneficiaries are the farmers who will be paid for not cultivating on their land for a trial period of 5 years; thus, tackling crop depredation by wild animals. The farmers will be encouraged to enter into contract with the herders, under which their livestock can graze on the now uncultivated land for a mutually agreed upon amount. This will mitigate livestock depredation by reducing the entry of cattle into forests, where majority of the incidents of livestock depredation were reported. The PEC programme not only addresses the visible costs of HWC but also the invisible costs, and avoids the distress associated with relocation.
The proposed incentive mechanism has elements of both compensation schemes and alternate livelihood strategy for HWC mitigation. Since the farmers in the region are mainly marginal farmers practicing subsistence agriculture, coupled with the fact that income from off-farm sources was considerably higher than from crop cultivation, the proposed PEC programme will increase the income of participating households not only through direct monetary transfer, but also through promotion of off-farm labour participation by relaxing liquidity constraints. An increase in off-farm labour participation was noted in China as a result of the 'Grain for Green' programme, especially among the poor, young and more educated sections of the participating households 54 . Wildlife-based tourism is a possible off-farm source of livelihood that can be explored by the local communities residing in the vicinity of the forest corridor; since, the region has immense potential for wildlife-based tourism given its close proximity to two PAs viz., Rajaji and Corbett TRs. With the development of appropriate tourism infrastructure in the region, backed by the Government of Uttarakhand's tourism policy initiatives, wildlife-based tourism can be a lucrative business and add to the capital stock of the participating households. The wildlife tourism-based PES programme implemented in the Olare Orok Conservancy in Maasai Mara, Kenya, wherein pastoral landowners were voluntarily relocated and asked to stop livestock grazing inside the conservancy (reserved for wildlife tourism) in exchange for direct monetary payments by private tourism operators, resulted in an increase in the physical, human and social capital of participating households, through cash income diversification, creation of employment opportunities in the conservancy, and prevention of poverty by serving as a buffer during climate shocks 55 .
Barriers to the adoption of such programmes include a lack of awareness among the farmers, mistrust of the forest department and lack of funding 56 . Custodians may also not appreciate the importance of the programme's conditionality, which in the present case is the need to refrain from agriculture to continue receiving the payments. Such obstacles, however, are common to all incentive-based schemes 57 . The PEC programme must be supported with a targeted public outreach campaign, establishment of linkages with the concerned Government departments and agencies, and capacity building of the intended beneficiaries to enable them to access the benefits of the programme. In order to ensure compliance, the study area must be monitored by the Uttarakhand Forest Department, under whom the management of the forest falls, including an annual evaluation of the programme. In order to improve the efficacy of the PEC programme, monitoring duties should also be assigned to locals, from both participating and non-participating households, because an incentive-based strategy that complements not only a command-and-control strategy, but also community-and norm-based strategies has the potential to achieve a higher degree of conservation effectiveness and HWC mitigation 53 . In the Periyar TR, India, an all-women forest patrolling team, known as the "Vasantha Sena", voluntarily patrol the forest in groups of six to eight during the day, from 11 a.m. to 5 p.m., with their presence serving as a deterrent to illegal entry and biomass extraction 58 . The centrally sponsored 'Integrated Development of Wildlife Habitats' scheme that provides assistance to State/Union Territories for the conservation of wildlife and its habitats, inside and outside protected areas, can be a source of funding for the proposed programme 59 . Sustainable, timely and continuous economic benefits accruing to the community will change their attitude and increase the tolerance exhibited towards wildlife 60,61 . Furthermore, these measures should be combined with additional interventions in the form of policy actions in other sectors that are aimed at reversing the current dynamics of crop intensification and urban encroachment; since, agriculture in the region has become more commercial, and agricultural land has been converted into commercial or residential areas 33 .
The proposed incentive-based mitigation strategy is a pragmatic and practical means to engage local communities in wildlife conservation, which is a major challenge in heavily populated developing countries like India 62 . Due to the replicability and scalability of the model, the proposed PEC programme can be implemented in the fringes of PAs and wildlife corridors, in order to create a larger model of community engagement for www.nature.com/scientificreports/ biodiversity conservation that views preservation and protection of crucial wildlife habitat at the landscape level, rather than in pockets.

Materials and methods
Study area. The forest corridor linking the Rajaji and Corbett TRs (29° 37′ to 29° 53′ N and 78° 19′ to 78° 41′ E), located in the Indian state of Uttarakhand (Fig. 5), comprises of two smaller corridors-one through the Shivalik Hills (Lansdowne Forest Division) and other through the forests of the Shivalik foothills (Haridwar and Bijnore Forest Divisions). Due to its location along the foothills of the Himalayas, the topography is hilly, with innumerable spurs and high ridges in the north. The southern portion of the corridor is characterized by the Bhabar tract, which gradually merges with the Gangetic plains. The area has a sub-tropical climate, with temperatures ranging between 7 and 42 °C and annual rainfall ranging between 1253 and 2053 mm, with the maximum rainfall received between March and June. The tract is drained by numerous rivers and streams running from north to south, most of which are dry in late winter and summer. The vegetation consists of northern tropical moist and dry deciduous forests with species such as Shorea robusta, Mallotus philippensis, Kydia calycina, Dalbergia sissoo, Acacia catechu, Ougeinia oojeinensis and Terminalia spp. The Rajaji-Corbett forest corridor maintains the genetic diversity of large mammals such as tiger (Panthera tigris), leopard (Panthera pardus), Asian elephant (Elephas maximus), sloth bear (Melursus ursinus), Himalayan black bear (Ursus thibetanus), sambar (Rusa unicolor) and others 11 . An increase in the number of human settlements, coupled with agricultural expansion and commercial resource extraction from the corridor, have reduced the area that was once available to wildlife 11,63 . Geographically, the villages in the area can be divided into two groups viz., the northern hill villages and the southern plains villages. Terrace farming is prevalent in the northern hilly region, where mostly women are the heads of households because the male members migrate to the plains in search of employment. The southern villages are economically better off due to their nearness to the urban centre of Kotdwar, productive agricultural land and more employment opportunities in industries along the fringes of the town 6 . The major communities inhabiting this area include (1) Garhwalis, hill residents employed in both marginal agriculture and private jobs, (2) Boksas, a forest-dependent tribe who work as daily labourers in nearby towns, (3) Gujjars, the transhumance pastoralists living inside the forest and engaged in Methodology. Villages within 5 km from the forest corridor were identified using a digitized map of the study area. A total of 205 villages were identified, and data on the location and distribution of the villages (distance from the forest corridor), demographic profile, accessibility by motorable roads from urban areas, livestock owned, dependence on forest resources (timber, non-timber forest products like fuelwood, fodder etc.) and accessibility to basic facilities such as primary health centres, schools, transportation and alternative fuel resources like LPG was collected in the rapid rural appraisal format 6,28 . Village level data was also collected from various government and non-government organizations. This village level information was subjected to principal component analysis as in Lee et al. 64 and Badola et al. 28 , and results were used to perform hierarchical cluster analysis, which divided the villages into three clusters. Representative villages from each cluster were selected. A total of 757 households from 36 villages were surveyed and personal interviews with house representatives were conducted using a semi-structured questionnaire with both open-and close-ended questions, between May 2013 and December 2014. Each interview lasted for about 45 minutes to 1 hour. Information about crop raiding, livestock depredation (2012-2014) and human injuries/deaths caused by wildlife, as well as dependence on the forest, occupational structure, agricultural holdings and livestock owned was gathered. Conflict locations in case of livestock depredation and crop raiding were visited to validate the data pertaining to damage.
Ethics statement. The questionnaires and social surveys conducted in this study were duly approved by the institutional review board (Training Research and Advisory Committee) of the Wildlife Institute of India (WII), Dehradun, India, and were conducted in accordance with the guidelines and regulations of WII. Informed consent was obtained from the heads of the community and the respondents who participated in this survey. Prior to interviews, respondents were informed about the objectives of the survey and nature of questions. Respondents were asked if the information provided by them can be used for any report or article in any form. Informed consent of the respondents was also obtained to publish the obtained information/image(s) in an online open access publication. The study did not involve experiments using any live or dead animal or human subjects and therefore, did not require the approval of the animal ethics committee. Data analysis. The data pertaining to socio-economic profile, conflict and attitude of local community was summarised in the form of frequencies, proportions and measures of central tendency. The monetary benefit and loss per household was calculated by multiplying with the market price of various forest resources extracted, and livestock and crops lost. The economic loss resulting from deaths/injuries caused by wildlife was calculated by aggregating the money spent on treatment and income lost due to injuries.
Factors governing human-wildlife conflict. Self-reported incidents of crop damage (n = 368) were modelled as a function of environmental factors (distance from the forest), agricultural factors (number of crop types grown in a year, crop types cultivated, size of the landholding reported), demographic characteristics (family size, gender of the respondent, occupation) and use of mitigation measures. Logistic regression with the forward conditional method was used in the modelling. Similarly, livestock depredation (2012-2014) was modelled as a function of the distance from the forest and the number and type of livestock owned (Table S3). The variables were tested for multi-collinearity before the logistic regression was run. All the analyses were conducted using SPSS 16.0.
Payments to encourage coexistence. The incentive mechanism designed here is based on the concept of PES, which is the best-suited approach for getting the support of local communities for conservation 24 . Conservation payments involving HWC have been termed as "payments to encourage coexistence" (PEC) as such payments do not always follow the strict criteria of PES although the overall concept complies with any PES programme 24 .
Profit, defined in economic theory as the difference between the revenue earned and the cost incurred in the production, is a function of the quantity produced, the price of the commodity produced and the cost of the inputs 65 . Since the area is close to the forest, the fields are often raided by wild animals. This affects the quantity produced and thus affects the profits. Hence, the profit earned from cultivating a particular piece of land can be defined as: where, c is the profit earned from cultivating the land, Y A is the income generated from cultivating the land, Q A is the quantity of agricultural produce, I is the inputs used, CD is the crop damage due to wildlife, P A is the price of agricultural produce and C I is the cost of inputs used.
To accept a payment mechanism to abstain from cultivating a particular plot of land, the profit generated from not cultivating must be greater than or at least equal to the profit generated from cultivating that plot of land. The financial incentive should be designed such that where, NC is the profit from not cultivating the land. www.nature.com/scientificreports/ In the current study, we estimated the annual payment to be paid to the local communities for not cultivating in the conflict prone areas by calculating the accounting profit from cultivating a hectare of land in the absence of crop depredation by wild animals, for the year in which the study was undertaken. Since, we are interested in a programme that will show a positive outcome over a long period i.e., reduced HWC, the programme must be implemented for at least 5 years 21 .
In order to estimate the benefits to the local communities from participating in the programme, the NPV of the annual payment over 5 years was estimated, assuming no decline in the purchasing power of the Indian rupee over the 5-year period and keeping the cash flow constant at the estimated accounting profit. NPV is considered ideal for determining the benefits accrued to the local communities as it accounts for the time preference of the communities, represented by the discount rate 66 . A social discount rate of 12% has been set for projects and public investments in India 67 . Due to a lack of consensus and the policy implications of using such fixed discount rates, we discounted the NPV using different discount rates to reflect the different time preferences of the people. Higher the discount rate, higher is the presumed time preference for immediate costs and benefits, and lower is the value placed on future benefits and costs.
The NPV is the present value of the expected net benefit over time. The NPV was estimated using the following equation: where, Y A is the income generated from cultivating the land, C I is the cost of inputs used, i is the discount rate, n is the number of years (the duration of the trial period i.e., 5 years).
Under the proposed incentive mechanism, profit from not cultivating the concerned piece of land is defined as:  www.nature.com/scientificreports/