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1 2 3 Report for the ICCR-DRR project 4 5 Designing index-based livestock insurance for 6 managing snow disaster risk in the central 7 Qinghai–Tibetan Plateau 8 9 10 State Key Laboratory of Earth Surface Process and Resource Ecology 11 Beijing Normal University 12 13 14 15 Mar 25, 2018 16 17 Please cite as: 18 Ye, T., Wu, J.D., Li, Y.J., Gao, Y. 2018. Designing index-based livestock insurance for 19 managing snow disaster risk in central Qinghai-Tibetan Plateau. Research report funded by 20 the International Center for Collaborative Research on Disaster Risk Reduction (ICCR- 21 DRR). 22

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2

3

Report for the ICCR-DRR project 4

5

Designing index-based livestock insurance for 6

managing snow disaster risk in the central 7

Qinghai–Tibetan Plateau 8

9

10

State Key Laboratory of Earth Surface Process and Resource Ecology 11

Beijing Normal University 12

13

14

15

Mar 25, 2018 16

17

Please cite as: 18

Ye, T., Wu, J.D., Li, Y.J., Gao, Y. 2018. Designing index-based livestock insurance for 19

managing snow disaster risk in central Qinghai-Tibetan Plateau. Research report funded by 20

the International Center for Collaborative Research on Disaster Risk Reduction (ICCR-21

DRR). 22

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Table of Contents 24

Table of Contents ................................................................................................................ 2 25

Executive summary .............................................................................................................. i 26

1 Project overview .......................................................................................................... 1 27

1.1 Objectives and tasks ........................................................................................................ 1 28

Objectives .................................................................................................................... 1 29

Workflow plan ............................................................................................................. 2 30

1.2 Research activities ........................................................................................................... 3 31

1.3 Outputs and deliverables ................................................................................................ 5 32

2 Understanding livestock snow disasters in the Qinghai–Tibetan Plateau ................... 7 33

2.1 Livestock snow disasters in the Qinghai–Tibetan Plateau ............................................... 7 34

2.2 Fieldwork ........................................................................................................................ 9 35

Characteristics of snow disasters ................................................................................. 9 36

Suggestions for selecting an insurance index ................................................................ 9 37

Local government preparedness for snow disasters ................................................... 10 38

Local herdsman’s preparedness for snow disasters .................................................... 10 39

2.3 Data collection .............................................................................................................. 11 40

2.4 Snow disaster loss mechanism in the study area........................................................... 12 41

Serious lack of infrastructure ..................................................................................... 12 42

Insufficient preparedness at the household level ....................................................... 12 43

High exposure due to a low pre-winter slaughter rate ................................................ 13 44

3 Livestock snow hazard analysis ................................................................................. 15 45

3.1 Review and selection of a snow hazard index ............................................................... 15 46

3.2 Hazard assessment ........................................................................................................ 19 47

Data and method ....................................................................................................... 19 48

Assessment results .................................................................................................... 21 49

4 Livestock snow disaster vulnerability analysis ........................................................... 23 50

4.1 Semi-quantitative results based on survey data ............................................................ 23 51

4.2 Quantitative results based on historical loss data ......................................................... 23 52

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Factor and Data ......................................................................................................... 24 53

Methods .................................................................................................................... 26 54

Results ....................................................................................................................... 29 55

5 Design of an LSII ......................................................................................................... 34 56

5.1 Product design............................................................................................................... 34 57

Basic coverage ........................................................................................................... 34 58

Catastrophic coverage ............................................................................................... 34 59

5.2 Example of an indemnity calculation............................................................................. 35 60

Data ........................................................................................................................... 36 61

Derivation of %area snow cover ................................................................................. 36 62

Calculation of the snow disaster index ....................................................................... 37 63

Calculation of the insurance payment ........................................................................ 39 64

5.3 Premium rate making .................................................................................................... 40 65

Insurance loss risk assessment ................................................................................... 40 66

Premium rating results............................................................................................... 42 67

6 From report to policy ................................................................................................. 45 68

6.1 Involving local communities: pilot insurance programs ................................................ 45 69

Workshop/campaign design....................................................................................... 46 70

Workshop/campaign findings .................................................................................... 47 71

6.2 Involving local governments: preparation and launching of the product ...................... 52 72

7 Discussion .................................................................................................................. 55 73

7.1 Future work ................................................................................................................... 55 74

7.2 Suggestions for implementation ................................................................................... 56 75

7.3 Potential impacts .......................................................................................................... 57 76

Appendix 1 Photographs of fieldwork ............................................................................... 58 77

Appendix 2 Questionnaire of community response to livestock snow disaster ................ 60 78

Appendix 3 Information about the reviewing conference in Lhasa ................................... 71 79

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Executive summary 82

The State Key Laboratory of Earth Surface Process and Resource Ecology, Beijing 83

Normal University (henceforth “ESPRE”), has committed to finishing a consultancy service 84

offered by International Center for Collaborative Research on Disaster Risk Reduction 85

(henceforth “ICCR-DRR”), with respect to realization of activities by ESPRE in the project 86

“Designing index-based livestock insurance for managing snow disaster risk in the central 87

Qinghai-Tibetan Plateau” (henceforth “the project”), as specified in the technical proposal. 88

According to the technical proposal, the project sought to design and develop a 89

livestock index-based insurance against snow disaster in the study area, to carry out a small 90

pilot project to test the performance of the product, and to gain experiences and lessons for 91

further sharing and replication. Specified outputs according to the technical proposal include 92

one research report, and one academic article published in an international peer-reviewed 93

SCI/SSCI-indexed journal. 94

ESPRE organized a research team to carry out the designated research activities: it 95

consisted of two associate professors and three graduate students from ESPRE, one research 96

fellow from Indonesia, and the agricultural insurance team of the largest local insurance 97

company in the study area. The following research activities were conducted: 98

(1) The team carried out two rounds of fieldwork to better understand the livestock 99

snow disaster mechanism in the study area, and to estimate the overall acceptance of local 100

herders to the index-based insurance product proposed. 101

(2) Based on the understanding gained, the team carried out a review of available snow 102

hazard indices (e.g., snow cover, snow depth, and duration of snow). 103

(3) The team carried out a vulnerability analysis based on two databases and two 104

approaches accordingly: one used empirical results based on interview information gathered 105

during fieldwork, while the other used historical data applied in generalized additive models. 106

(4) Based on the hazard and vulnerability analyses, the team suggested using the 107

duration of heavy snow cover—when the snow cover to grassland ratio exceeds certain 108

thresholds—as the livestock snow index for product’s design. Then, the insurance payment 109

scheme according to the selected snow index was designed, including the trigger, payment 110

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function, and deductibles. Based on the payment scheme and hazard assessment results, a 111

probabilistic risk assessment was carried out to calculate the insurance loss risks and 112

actuarially fair premium rates. 113

(5) The team worked hard to promote government stakeholder involvement to move 114

forward. Government departments, at various levels, reviewed the proposed index-based 115

product in two rounds. The product is currently waiting for its final approval; this should 116

occur once the government agrees to provide the sufficient premium subsidy. 117

Research activities carried out and reported here strictly followed those committed to in 118

the technical proposal. Two major deliverables were supplied: one summary report (this very 119

report), and an international journal paper now published 120

(https://doi.org/10.1016/j.scitotenv.2017.12.230). 121

122

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123

124

1 Project overview 125

1.1 Objectives and tasks 126

Objectives 127

The final aim is to design and develop a livestock index-based insurance against snow 128

disaster in the study area, and to carry out a small pilot project to test the proposed product’s 129

performance, and to gain experiences and lessons for further sharing and replication. The 130

major approaches to fulfill these goals shall follow the general framework of index-based 131

insurance design, including: 132

� Comprehensive regional study into the loss mechanism of local snow disasters. This 133

study involves a literature review of snow hazard analysis, and fieldwork entailing 134

workshops and household interviews. 135

� Probabilistic risk assessment and insurance pricing. This follows the state-of-the-art risk 136

modeling approach by analyzing hazards and vulnerability and risk metrics widely 137

employed by international risk modelers, reinsurers, and brokers. 138

� Remote sensing. This technique will be intensively used for retrieving historical snow 139

cover and snow-depth data based on available satellite imagery. 140

� Pilot insurance program, with workshops and outreach campaigns. This component 141

involves more practical work by actually selecting several towns to hold workshops and 142

campaigns to hypothetically “run” the program; to help the local herdsmen to 143

understand how the index insurance could help them in handling risks; and to identify 144

potential challenges in the actual implementation of the product. 145

146

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Workflow plan 147

148

Figure 1 Workflow of activities 149

Table 1 Activity description 150

Activity/

duration

Contents Milestones

Fieldwork � Workshop held with local herdsmen representatives, insurance company representatives, and government officials; Interview of local herdsmen

� Analysis on the loss mechanism of livestock snow disasters in the study area

Workshop memo; Interview records/questionnaires

Snow hazard

assessment

� A review of available snow hazard indices (e.g., snow cover,, depth, and its duration), upon which several livestock snow indices will be based and

derived; � Analyzing the spatial-temporal patterns of the

suggested livestock snow indices, and deriving their probabilistic risk assessment

Comparative results of potential livestock snow hazard indices according to the criteria of an insurance

index Temporal trend, spatial pattern, and return-period analysis results

Vulnerability

analysis

� Construct the historical livestock snow disaster event

catalogued dataset; Link historical snow hazard intensity to event loss;

� Applying quantitative analysis using regression or machine-learning approaches to derive the quantitative vulnerability function

Quantitative vulnerability function

Design of a

livestock snow

index insurance

� Design the insurance payment scheme according to the selected snow index, including the trigger, payment function, and deductibles;

Risk assessment results and pricing results (by pixel, and township and county boundaries)

Field work

Loss mechanism analysis

Review/ selection of

potential snow indicesVulnerability analysisHistorical

snow data

Historical

loss data

Hazard assessment Payment scheme design

Scientific plan of the product

Insurance contract

Pilot program

education underwritingLoss

estimation

Insurance

payment

Summarizing and sharing

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(LSII)

� Insurance loss risk assessment and premium rating

Pilot program

of implementing

the designed

product

� Translate the design into a viable insurance contract

� Select 2 4 high snow risk towns in Naqu county,

central Naqu district � Hold small workshops to teach local herdsmen how

to use the index product � Use snow disaster data of the 2015, 2016, and 2017

winter seasons to generate hypothetical insurance indemnities*

� Hold multi-stakeholder workshops to summarize the viability and challenges in product implementation

LSII contract;

Workshop memo; Interview records

Viability, performance, and challenges in implementation.

* As the project is to be ended by Sep 2017, it is not viable to wait for the 2018 winter to carry out 151

real pilot project. Consequently, we have decided to use hypothetical insurance indemnities to further help 152

local herdsmen to understand the insurance project, and to identify challenges in implementation. 153

1.2 Research activities 154

As of September 30, 2017, the project team had finished all the tasks as written in the 155

technical proposal and letter of agreement. Specifically, following activities were carried out: 156

� Fieldwork for understanding the livestock snow disaster mechanism: The team 157

visited local areas in Naqu District, central Tibetan Plateau, to carry out fieldwork on 158

June 2–9. This fieldwork included a series of workshops and household interviews, 159

from which the critical mechanisms of livestock snow disaster in the study area were 160

better understood. 161

� Snow hazard assessment: The team carried out a review of the available snow hazard 162

indices (e.g., snow cover, depth, and duration). The duration of heavy snow cover (i.e., 163

when the snow cover to grassland ratio exceeds certain thresholds) has been considered 164

as the final livestock snow index for the product design. On this basis, a probabilistic 165

hazard assessment for the suggested livestock snow index was carried out. Index values 166

(duration of snow cover) by return period in years (1/5a, 1/10a, and 1/20a) have been 167

calculated and mapped. 168

� Vulnerability analysis: The team carried out a vulnerability analysis based on two 169

databases and two approaches accordingly. On the one hand, based on the data 170

collected during the household interviews, an empirical vulnerability relationship 171

(livestock mortality vs. duration of heavy snow cover) was estimated. On the other hand, 172

based on a dataset of historical livestock snow disaster mortality, generalized additive 173

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models (GAMs) were used to quantify its relationship to snow depth, heavy snow 174

duration, and other key weather variables. GAMs revealed that the time index, snow 175

disaster duration, wind speed, and summer vegetation are critical for explaining 176

livestock mortality. The model fitting results gave adjusted-R2 values of up to 79.4%, 177

and the prediction error appeared well controlled. These quantitative vulnerability 178

relationships will serve us well for both the loss prediction and index insurance product 179

design. 180

� Design of a livestock snow index insurance (LSII). Given the loss mechanism learned 181

through fieldwork, and the quantitative vulnerability relationship derived, the insurance 182

payment scheme according to the selected snow index has been designed, which 183

includes the trigger, payment function, and deductibles. Based on these, a probabilistic 184

risk assessment was carried out to calculate the insurance loss risks and the actuarially 185

fair premium rates. 186

� Pilot program implementing the designed product. The research team visited the 187

Naqu district again, during July 24–August 4, 2017, holding 11 small campaigns in five 188

counties and 11 towns. During these campaigns, the research team further queried 189

herdsmen about their snow disaster risk management strategies (including any 190

supplementary feeding and infrastructure improvement) and their perception of the 191

existing insurance program. Based on these actions, the team explained the newly-192

designed index-based insurance program to the herdsmen, showing them how the 193

insurance works with the pilot loss adjustment using the 2007/2008, 2015/2016 winter 194

snow data. They were then asked for their perspectives, comments, and suggestions 195

about the proposed index-based product. 196

� Promoting government involvement and approval of the new product. A review 197

meeting was organized by the Property and Casualty Insurance Company of China 198

(PICC) Tibet Branch on August 17, 2017. Tibet Autonomous Region (TAR) 199

government official representatives, including people from the TAR financial office, 200

Department of Finance, Bureau of Insurance Regulation and Inspection, Department 201

Agriculture and Animal Husbandry, Department of Civil Affairs, and TAR 202

Meteorological Administration, as well as Naqu Prefecture government official 203

representatives, including the Vice-Commissioner of the prefecture government, and 204

leading persons in the corresponding departments/bureaus at the prefecture level, were 205

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all invited to review the LSII technical plan. The local government officials appreciated 206

the LSII technical plan presented. Review comments and suggestions were recorded, 207

which were used to modify the technical plan. By late October 2017, the PICC Tibet 208

Branch had received the review comments from the document-based second round 209

review, from all departments at the TAR government level and from the Naqu 210

Prefecture government level. 211

� At the time of this report’s submission, the technical plan of the LSII product awaits 212

final approval by the TAR government, before it can be turned into an actual insurance 213

policy. Once approved by the TAR government, the PICC Tibet Branch will finalize the 214

insurance policy and submit it to the China Insurance Regulation and Inspection 215

Commission (CIRC) for its definitive approval. Then, the product can be put into the 216

marketplace. 217

1.3 Outputs and deliverables 218

According to the technical proposal, several outputs are expected. The following 219

outcomes have been achieved before submitting this report: 220

� The design of a technically sound and practical implementable index-based insurance 221

product for use in the local area (100% finished; included in this report). 222

� Experience and lessons in implementing an index-based livestock insurance program 223

in less-developed regions via pilot projects in several grazing community (towns) in 224

the region (100% finished; contained in this report). 225

� One synthesis research report: On the design of LSII for the Qinghai–Tibetan Plateau 226

(100% finished; this report). 227

� One academic research paper published in an international peer-reviewed journal: 228

“Linking livestock snow disaster mortality and environmental stressors in the 229

Qinghai-Tibetan Plateau: Quantification based on generalized additive models” has 230

been published in Science of the Total Environment 231

(https://doi.org/10.1016/j.scitotenv.2017.12.230). 232

The final outcome is under review and consideration for approval; this will require more 233

time until a final decision is reached: 234

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� A snow disaster index-based livestock insurance policy that is officially approved: 235

The insurance plan received very positive feedback during the review conference 236

held in August 2017, and in the second round review (document-based) performed in 237

October 2017. It now awaits final approval by the TAR government. 238

239

240

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2 Understanding livestock snow disasters in the 241

Qinghai–Tibetan Plateau 242

2.1 Livestock snow disasters in the Qinghai–Tibetan Plateau 243

The Qinghai–Tibetan Plateau (QTP) is located in Southwest China (26º00’N 39º47’N244

73º19’E 104º47’E; Figure 2). It covers an area of 2.572 × 106 km2, accounting for 26.8% of 245

the total land area of China. The region consists of 210 counties from Tibet, Qinghai, 246

Sichuan, Gansu, Xinjiang, and Yunnan provinces/autonomous regions (Zhang et al., 2002). 247

The terrain declines from the northwest to southeast, with an average elevation of 4000–248

5000 m. The climate in this region is mainly continental, dominated by great diurnal but 249

small annual variations in air temperature. Summers are characterized by higher precipitation 250

whereas the winters are dry and cold with strong winds. 251

252 Figure 2 Geographical location, elevation, and major grass vegetation types of the QTP 253

The QTP is extremely rich in grassland resources. The land currently used for farming 254

and raising livestock covers approximately 1.63 × 106 km2, of which alpine grassland covers 255

an area of 1.57 × 106 km2 (Zhao et al., 2013). The rich grassland resources thus support one of 256

the largest animal husbandry production bases in China. In 2014, the QTP housed a total of 257

38.03 million livestock, of which 10.47 million were cattle and 26.47 million were sheep 258

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(Qinghai Provincial SB, 2015; Tibet Autonomous Region SB, 2015). As such, this region 259

supports the livelihoods of approximately 2 million pastoralists and 3 million agro-260

pastoralists (Miller, 2005). Animal husbandry production in 2014 reached 23.85 billion 261

RMB yuan*, with 9.25 billion yuan from cattle and 7.4 billion yuan from sheep and goats. 262

For centuries, raising livestock has been the most important way to survive and make a 263

living for the local herder communities in the QTP. Farming livestock is vital for obtaining 264

the daily dairy and meat consumed by local herdsmen, rather than serving as a major income 265

source as in Inner Mongolia. Because nomadic or semi-nomadic ways of grazing have 266

succeeded for hundreds of years (Wang et al., 2014) they are difficult to change in a short 267

period of time, even with considerable funds and effort from the central government of 268

China (Wang et al., 2013). 269

Climate, vegetation, and local nomadic pastoralism together, however, make the QTP 270

one of the most at-risk regions to suffer from livestock snow disasters. Seasonally, local 271

snow disasters primarily occur from October to May (Pu et al., 2007). Once the pastures are 272

snow covered, livestock have little access to food. Hence, if no supplementary feed is 273

provided to them, livestock could quickly lose weight and die from starvation. Strong winds 274

and low temperatures could accelerate the animals’ loss of body temperature and fat due to 275

the lack of robust infrastructure (i.e., roofed and warm sheds or shelters) (Wu et al., 2007). 276

Beyond the winter environmental stress, deficit summer precipitation and grassland 277

productivity could have a lag effect on livestock’s resistance to winter stress. For example, a 278

dry summer could substantially increase the risk of mortality due to insufficient nutrition and 279

the weakened body conditions of affected animals (Wang et al., 2016). 280

Snow disasters in this region are frequent. Major snow disasters have occurred 281

approximately once every ten years, while a medium disaster has occurred once every five 282

years. From 1956 to 1996, 11 snow disasters occurred in the Qinghai province that resulted 283

in the loss of 8.54 million livestock. A single catastrophic event in 1996 in the southern 284

Qinghai Province led to the loss of 1.08 million of its livestock, or approximately 40% of the 285

local herd size (Qia and Kong, 2007). In TAR, 35% of the livestock were lost during the 286

1967 snow disaster. The 1997/1998 snow disaster in Naqu, Tibet, left its herdsmen with 0.82 287

million livestock lost, with the herd size not restored for another 12 years (Wen, 2008b). 288

289

* 1 yuan = 0.151 USD as of October 24, 2017.

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2.2 Fieldwork 290

To analyze in-depth the triggers and causes of snow disaster occurrences as they affect 291

animal husbandry, researchers went to investigate and interview the locals at the Naqu area, 292

during July 9-16, 2017. A small workshop was held at the Lhasa Branch of the People’s 293

Property and Casualty Insurance Company of China (PICC P&C), to kick-off the fieldwork 294

operations. Then, the team visited several counties in the Naqu District, , including the 295

counties of Naqu, Nierong, and Biru. Workshops were held with local government officials 296

from the county government office, the agriculture and animal husbandry bureau, the 297

meteorological bureau, along with insurance company managers from the local PICC P&C 298

branches. The focus of these workshops was to collect first-hand information about the 299

features of local snow disasters, associated historical livestock losses, disaster prevention 300

infrastructures, and emergency coping strategies during disaster occurrences. Household 301

interviews were organized in rural areas near the central towns of Naqu County and Nierong 302

County. The major focus in each interview was to collect information about the roofed sheds, 303

pre-winter hay and fodder storage, and in-disaster coping methods used at the household 304

level. The director of the division of agricultural insurance of the PICC P&C Tibet Branch, 305

and one research fellow from Tibetan Autonomous Region Meteorological Administration, 306

also participated in this field survey. 307

Characteristics of snow disasters 308

During the interviews, the meteorological administration of TAR shared that the major 309

characteristics of snow disasters affecting Tibetan animal husbandry was “fatten in autumn, 310

emancipate in winter, and die in spring”, which indicated an obvious lag effect. The 311

frequency of a snow disaster was once every five years (1/5a) for major catastrophes, while 312

1/3a for minor disasters. The historical snow disaster which caused the most serious losses 313

occurred in 1998. The construction of a snow disaster index for livestock in TAR ought to 314

adequately consider its geographical differences, local grass height, and grassland area when 315

constructing a snow disaster index by conducting field research. 316

Suggestions for selecting an insurance index 317

For now, the meteorological administration of the autonomous region uses the MODIS 318

snow-cover spatial dataset. But since it could be contaminated by clouds, supplemental data 319

will be needed to construct a robust index. Snow-depth data should be retrieved from the 320

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meteorological stations’ actual empirical data. But since every county has no more than one 321

meteorological station, it is not advisable to represent the entire county by station data alone. 322

Additionally, the grassland in the Naqu area is an alpine meadow type, with a vegetation 323

height that is approximately 2–3 cm. Hence a medium-level snowfall event could cover most 324

of the meadow completely. To properly categorize the cover level requires great accuracy in 325

snow depth and grass height data, which is logistically too difficult to obtain. Therefore, 326

experts from the meteorological administration advised to take the snow-cover area as the 327

key index as the proxy of snow disaster impact. 328

Local government preparedness for snow disasters 329

From our communications with the local government, researchers learned of the 330

conditions of disaster-influenced animal husbandry industry and their ability to deal with 331

snow disasters. The regional natural disasters mainly included snow disasters, droughts, and 332

windstorms. In Nierong County, 5000 to 6000 livestock died from these disasters, but snow 333

disaster was the most serious of them. Subsidized by national policy, every herdsman 334

received 500 yuan for fodder, which was sold at 1.6 RMB per 0.5 kg; so the funds enabled 335

the purchase of 155 kg of concentrated fodder. In 2015, the Nierong County government 336

prepared 460 tons of concentrated fodder, but this amount could last only a couple of days 337

for the entire county’s livestock. Once a snow disaster happened, the livestock would freeze 338

or starve to death. With respect to infrastructure, the proportion of artificial rearing and 339

captivity was too low; even when aided by the national policy that provides a subsidy, the 340

land coverage of an alpine roofed-shed construction was insufficient. Against such a 341

background, the annual death rate of local livestock due to disasters was ~3% on average, 342

yet occasionally reaching high as 10% to 20%. 343

Local herdsman’s preparedness for snow disasters 344

Researchers also learned about the local herdsmen’s disaster prevention knowledge, hay 345

storage for disaster prevention, and the vulnerability of disaster-influenced livestock. Two 346

households with distinct economic conditions were interviewed. In general, local herdsmen 347

are sufficiently aware and conscious to prepare some winter-preserved fodder. But due to the 348

distinctions of economic status among different households, the low-income family did not 349

have an alpine roofed shed, nor could it afford to prepare any winter-preserved fodder—they 350

were left with waiting for governmental subsidies. The second family was richer, had some 351

roofed sheds covering a total land area of 150 m2, of which 60 m2 consisted of thermal sheds. 352

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Their disaster-reserve fodder in winter could feed their livestock for 12 days, and they 353

maintained a better ability to deal with disasters. According to the herdsmen’s experience, 354

due to the vulnerability of disaster-influenced livestock, thinner cattle could live at most 5 355

days whereas sheep could live up to 3 days without fodder. 356

To sum up, snow disasters in the Naqu area occurred frequently, and seriously 357

influenced the livelihood of local herdsmen. The government was not sufficiently capable to 358

deal with such disasters. The little self-preserved fodder stored was not enough; so one snow 359

disaster was likely to impoverish the herdsmen. Considering the natural differences between 360

areas in the QTP, future research should adopt the snow-cover area rather than a superficial 361

index to indicate the severity of a snow disaster. Since the alpine thermal roofed shed did not 362

have high coverage, livestock would easily die of famine or frost without receiving fodder, 363

and this situation further varied depending on the different sizes of livestock held. 364

2.3 Data collection 365

Besides the basic geographical data, the project also used historical snow coverage 366

obtained from remote-sensing data, the meteorological station’s observation data on snow 367

depth, disaster records on yearbooks, and data from interviews conducted in the Naqu area, 368

Nierong County, Biru County, and Naqu County (Table 2). 369

370 Table 2 List of data collected 371

Data type Index and description Data origin

City and county administrative area map

Naqu area administrative division (vector map)

National geographic information center

Distribution of vegetation types

Vegetation types in the study area (distribution vector diagram)

Vegetation map of China (1:1 000 000) (Chinese vegetation map editor committee of the Chinese Academy of Sciences, 2007)

Daily snow cover IMS in the northern hemisphere daily snow cover (February 1992~ now); spatial

resolution based on sensor divided into 1

km, 4 km, and 24 km

US National Snow and Ice Center (http://nsidc.org/data/g02156

Re-analyzed data from the weather forecast system (NCEP)

Lattice data of snow cover 0.312°×0.312° (1979.1.1–2011.1.1)

National Centers for Environmental Prediction (NCEP) http://rda.ucar.edu/

Station-observed snow depth

Naqu Station and Bange Station observed

daily snow depths from November 1 to

April 30, in 1984–2014

TAR climate center

Field survey Mechanism of snow disaster and vulnerability of animal husbandry

Local workshops and household interviews

Historical snow disaster loss

Tibetan plateau snow disaster historical data for 2001–2016

China meteorological disasters’ catalogue - volume in Tibet; China meteorological disaster catalogue - volume in Qinghai

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2.4 Snow disaster loss mechanism in the study area 372

Seasonally, local snow disasters occurred from October through May of next year, 373

though in some years the earliest snow disaster could happen in September or the latest one 374

in June. Following a snow disaster, the pasture is buried beneath snow, livestock would be 375

unable to gather food or be properly fed, consequently leading to the animals’ weight loss 376

and weakened immunity. On the one hand, a snow-buried pasture reduces the livestock’s 377

available intake of food; on the other hand, more snow increases makes it more difficult for 378

livestock to forage, walk, and gather needed food, thereby increasing their energy 379

consumption. Below-average temperatures can support long-lasting snow cover above the 380

ground. Furthermore, if the daytime maximum temperatures go higher than 0°C, the surface 381

snow can melt but freeze again in the winter to form a layer of ice crust that further 382

exacerbates the grave situation (Baojireji, 2014). Together, these factors would seriously 383

challenge the physical reserves of livestock and their health conditions. If not responded 384

properly and urgently, it can lead to severe losses. 385

The natural herbage nomadic style still dominated the animal husbandry practice in 386

Naqu area. Consequently, animal husbandry has been affected by weather conditions all year 387

round. The ensuing situation of “weather-dependent foraging” production differences drives 388

the following key problems associated with snow disasters. 389

Serious lack of infrastructure 390

Namely, alpine roofed thermal sheds for livestock are lacking. Although the national 391

government proposed to subsidize the building of alpine roofed thermal sheds, these sheds 392

remained a small proportion of all shed in the Naqu area. On the one hand, the national 393

subsidy of 12 000 yuan for construction was not enough to finish the standardized 394

construction of a single shed. On the other hand, a basic tenet of the animal husbandry 395

practice was to divide the cattle and sheep; hence, for herdsmen who owned both cattle and 396

sheep, their barns must be constructed separately, leading to higher costs. Finally, it was 397

difficult to find proper construction teams that could accomplish the work locally. The lack 398

of alpine barns greatly increased the local herds’ mortality rates. 399

Insufficient preparedness at the household level 400

The experiences from eastern Inner Mongolia demonstrate that well-fed livestock are 401

barely affected by snow disasters; the disaster could be mitigated, if there were an adequate 402

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amount of fodder preserved for the grazing livestock. In recent years, the Naqu County 403

constructed a cold-season pasture fence, mowed and set aside a certain number of forage 404

grass areas, and strengthened the prevention of and resistance to snow disasters. However, 405

the government fiscal funds to build up forage reserves for winter and spring were still 406

limited when compared with the amount required for the livestock, and this food storage 407

could only maintain emergency needs for a few days (i.e., < 10 days). The local government 408

also issued policy documents that contained winter forage reserve requirements in addition 409

to a guide for how the herdsmen could strengthen their reserves. For now, only a small 410

minority of herdsmen from higher income families with a good awareness have actually 411

cultivated and purchased high land barley to increase the potential forage reserve; 412

nevertheless, this reserve was usually insufficient for livestock to survive 20 days following 413

a snow disaster event. 414

High exposure due to a low pre-winter slaughter rate 415

To Tibetan herdsmen, cattle, sheep, and other livestock are the most basic production 416

and living materials. In historical snow catastrophes, herdsmen used to go out of their way to 417

feed the livestock, even using those grains preserved for people. Although local governments 418

have propagated hardly, the slaughter rate before winter remained at ~5%, well below the 20% 419

recommended level. By not culling the weak and old livestock in herds, any snow disaster 420

was bound to increase the risk of livestock losses. 421

Given all the conditions mentioned above, the loss mechanism of snow disaster in Naqu 422

is very close to the traditional sense in the pastoral areas suffering from snow disaster, which 423

eventually led to the snow being buried for a long period that caused the livestock to freeze 424

or starve to death. From the viewpoint of regional disaster systems, there are multiple factors 425

influencing the final disaster loss incurred by herdsmen. 426

Through the local herdsmen household surveys and interviews, we further clarified the 427

mechanisms and formation process of loss: 428

(1) When there was continuous snow cover and the area ratio of it to grassland is 429

relatively low (less than 40–60%), the herdsmen would graze their livestock in better body 430

condition, and consume only those in poor condition. Since the herdsmen’s winter forage 431

reserve was relatively limited, supplementary feeding inputs were generally done only to 432

maintain basic vital signs of livestock, or about a sheep unit 2 kg/ hay. 433

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With a shorter duration of snow cover (under 15 days) the deteriorating conditions of 434

cattle and sheep could be limited. Once the snow melted and grass is revealed, herdsmen 435

should immediately start to graze the livestock, so cattle and sheep would be less likely to 436

die. In such cases, losses borne by the herdsmen would only be the increased hay and fodder 437

costs used for supplementary feeding due to grazing precluded by the temporary heavy snow 438

cover. 439

(2) If the proportion of land covered by snow became even higher, trans-boundary 440

grazing was not viable, and long lasting snow duration will lead to extreme cases. Local 441

herdsmen have to keep all their livestock in sheds, and all cattle and sheep will be feed by 442

stored hay and fodder, but still using an amount that only maintains their vital signs. If the 443

sheds are without a roof or not the thermal-type (i.e., heated), low temperatures will quickly 444

consume a herd’s body fat, and the herds would eventually die. Herdsmen said cattle and 445

sheep of different body condition with or without supplementary fodder could survive for 446

different lengths of time (Table 2). 447

Table 3 Vulnerability of livestock in the Tibetan Naqu area 448

Note: Data in this table represents livestock in captivity without alpine thermal roofed sheds 449

450

Supplementary feeding condition

Livestock The longest surviving days according to the qualitative body condition before winter

Good Medium Bad

Supplementary feeding to sustain basic vital

conditions

Cattle/sheep <30 days <25 days <15 days

Without supplementary feeding

Cattle <15 days <7 days <5 days

Sheep <7 days <5 days <3 days

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3 Livestock snow hazard analysis 451

3.1 Review and selection of a snow hazard index 452

From the harm mechanism and vulnerability of animal husbandry in the Naqu area, it is 453

known that the key element triggering the supplementary feeding condition and influencing 454

the cattle and sheep mortality rates was the snow coverage on pasture. As the snow is deeper 455

and the area covered is larger, the greater damage caused by the disaster, the necessity of 456

supplementary feeding became stronger, and the probability of death also greatly increased. 457

Therefore, three key factors contribute to building a snow disaster index: (1) the percentage 458

of grass height buried by snow (‘%Grass height buried’), (2) percentage of grass land area 459

covered by snow (‘%Grassland area covered’), and (3) the duration of snow disasters. 460

The existing literature provides important information on how snow cover impacts the 461

grazing behavior of various livestock. Local horses, sheep, and cattle have become used to 462

feeding on grass with blade heights of 20–30 cm, 10–20 cm, and < 10 cm, respectively. 463

Once the snow depth exceeds these heights, the corresponding livestock will have difficulty 464

finding food. The national standard on Snow Disaster Grades in Grazing Regions of China 465

(GB/T20482-2006) uses three indicators to represent the intensity of snow disasters. As 466

related to each grade of snow disaster, a semi-quantitative description of livestock mortality 467

is provided (Table 4). 468

Table 4 National standard from Snow Disaster Grades in Grazing Regions of China 469 (GB/T20482-2006) 470

Snow

disaster

grade

Indicators

Impact on livestock % Grass

height

covered by

snow

Duration of

snow cover

(days)

% Grassland

area covered

by snow

Small

0.30–0.40 ≥ 10

≥ 20%

Grazing by cattle affected; small and little

impact on sheep and horses, respectively;

number of deaths below 50 000 0.41–0.50 ≥ 7

Medium

0.41–0.50 ≥ 10

≥ 20%

Grazing by cattle and sheep affected; little

impact on horses; number of deaths

between 50 000 and 100 000 0.51–0.70 ≥ 7

Severe

0.51–0.70 ≥ 10

≥ 40%

Grazing by all livestock affected; large

losses claimed for cattle and sheep, with the

number of deaths between 100 000 and 200

000 0.71–0.90 ≥ 7

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471

The local standard of the Inner Mongolia Autonomous Region employed a 472

comprehensive index. It was constructed using snow depth (cm), snow duration 473

(days), average pre-winter grass height (cm), and number of days that the daily 474

average temperature was below 0°C using a 5-day moving average, . The 475

grade of snow disaster is thus defined according to the range of the index (Table 5). 476

Table 5 Local standard for livestock meteorological disasters of the Inner Mongolia 477 Autonomous Region 478

479

Aimed at the three key factors of snow disaster index, the current China’s 480

meteorological departments and scientific research personnel have put forward some 481

beneficial proposals. The TAR Bureau of Meteorology proposed the standards for a snow 482

disaster index according to the local experiences, based on the national standards and Inner 483

Mongolia regional standards described above (Table 6). The suggested proposal basically 484

used the methods of national standards, but emphasized the differences between one-time 485

snowfall events and accumulated snowfall in determining the disaster grade. 486

487

488

489

490

SdsD

gH DD

s s

g

H DSd

H D

´=

-D

Extreme

0.71–0.90 ≥ 10

≥ 60%

Grazing by all livestock affected; large

numbers of livestock will die if not

protected, with the number of deaths

exceeding 200 000 > 0.90 ≥ 7

Snow disaster grade Snow disaster index Impacts on livestock

Small 0.31–0.50 Grazing by cattle affected; small and little impact on

sheep and horses, respectively

Medium 0.51–0.80 Grazing by cattle and sheep affected; little impact on

horses

Severe 0.81–1.30 Grazing by all livestock affected; animals lose weight;

some livestock die

Extreme ≥ 1.31 No conditions for grazing; large numbers of livestock die

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Table 6 Suggested standards of the Naqu Bureau of Meteorology in Tibet 491

*Note The degree of snow-buried grass = the depth of snow coverage (cm)/the average height of pasture (cm), 492

to the nearest two digits after the decimal point. The degree of snow-covered area of pasture = snow-covered area 493

(ha)/useful pasture area (ha) 494

To summarize, the standards and indicators frequently mentioned in the literature 495

include snow depth, grass height, %-grass height covered by snow, %-grassland area 496

covered by snow, and the duration of snow cover. Two aspects must therefore be considered 497

in the construction of a snow-insurance index: 498

(1) Stress imposed by snow. It is important to first measure the stress imposed by snow on 499

livestock that feed on open-air grassland. Snow depth is the absolute physical measure of the 500

real-time snow hazard intensity. Snow cover thus provides an overview of how much 501

grassland has been covered by snow. Therefore, both indicators are superior to using snow 502

precipitation, since the actual snow cover that results on the ground includes the snow’s 503

redistribution by wind and landforms. 504

(2) Duration of the stress. This variable is important for measuring the cumulative stress 505

imposed on livestock during the winter season. Duration of snow stress leads to a degree of 506

starvation and loss from mortality. With small snow disasters, it is a direct measure of the 507

supplementary feeding input and, accordingly, a measure of herdsmen’s losses in terms of 508

feeding costs. With catastrophic snow disasters, it can be used to predict livestock mortality 509

and accordingly serves as a measure of herdsmen losses in terms of cattle and sheep. 510

In the research team’s earlier work, in the design of snow index insurance for the 511

Eastern Inner Mongolia Region, the snow cover (%height) had been used as the critical 512

Snow disaster

meteorological grade

index

Snow-cover condition Snow hazard harmful effect

%Grass

height

covered by

snow

Duration

of snow

cover

(days)

%Grassland

area covered

by snow

Medium disaster (one-

time snowfall)

0.51–0.70 ≥ 5 S ≥ 30% Mainly affected the feeding of

cattle and sheep, but with

diminutive effects on horses.

Medium disaster

(accumulated snowfall)

0.41–0.50 ≥ 10 S ≥ 30%

Severe disaster (one-

time snowfall)

0.71–0.90 ≥ 5 S ≥ 40% Seriously affected the feeding of

every kind of livestock, including

lowered body conditions, female

abortions, cub deaths, and if

improperly coped with, it would

cause many livestock deaths.

Severe disaster

(accumulated snowfall)

> 0.90 ≥ 10 S ≥ 40%

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index, together with a measure of duration. However, given the actual situation in Naqu 513

Prefecture, as well as other regions in the QTP, we have decided to use the snow cover 514

(%area). The main reasons to do this are as follows: 515

(1) Local grass type and grass depth provided the possibility to simplify the index. 516

In terms of the vegetation structure of the Naqu pasture, the major grass types found in 517

the Naqu area were alpine meadow and scrub meadow. In the eastern part of Naqu, with its 518

shorter plants and better hydrothermal conditions, the grass was generally 3 to 4 cm tall, and 519

in some areas it had blade heights of 5 to 6 cm. In the middle and western areas, the grass 520

depth was even lower and shallower. At this grass depth level, a moderate snowfall could 521

cover entire plants. Meanwhile, under the precondition of a limited grass height, it requires 522

extreme precision to measure the percentage of snow-covered depths and their spatial 523

differences. Therefore, using the same approach as the eastern Inner Mongolia region is lack 524

of practical significance. 525

(2) The retrieval of snow-cover estimates by remote-sensing data is more accurate than 526

that of snow depth. 527

In the Naqu district, only four national meteorological stations are capable of observing 528

snow depth for the whole district, which covers 450 000 km2 and has 11 counties. Besides, 529

the terrain was complicated in the study area and local snowfall was common. Nevertheless, 530

the accumulated snowfall differed in places, even on the same mountain across 531

distinguishable slopes. Clearly, the low density of weather stations is far from enough to 532

provide robust snow depth data to predict the %height buried or snow duration for many 533

local areas. Increasing the number of stations to monitor snow depth is challenging because 534

it is expensive to do. Therefore, it is recommended that remote-sensing monitoring data be 535

adopted to calculate the index required for the insurance indemnity. 536

From the point of snow monitoring via remote sensing, the retrieval of snow cover has 537

better precision than that of snow depth. The existing literature shows that, in the case of 538

MODIS and its information on snow cover, the accuracy of the MODIS/Terra data was 539

related to snow’s duration and depth. If the snow cover persists continuously for three or 540

more days, mean estimation error was < 10%. When snow depth is >14 cm, the forecasting 541

accuracy can be as high as 100%. At a snow depth of 5 cm, the forecasting data accuracy is 542

75% (Pu et al., 2007). Research on the Tibetan Plateau’s snow-cover duration and snow 543

depth showed (Li et al., 2008) that snow-cover duration in the river source area of China was 544

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frequently > 60 days, with an average snow depth of 7 cm. Therefore, MODIS can reliably 545

reflect the distributions and changes in snow cover in the river source area. As a result, a 546

wide range of snow-cover data monitoring can be retrieved from remote-sensing data, to 547

meet real-time, convenient, effective, and high-precision demands. 548

By contrast, the measuring accuracy of remote-sensing-retrieved snow-depth data was 549

relatively poorer. In our country, the Northwest Institute of Eco-Environment, Chinese 550

Academy of Sciences, have prepared, composed, and continuously upgraded The Dataset of 551

Snow Duration in China from 1978 to 2012, which is perhaps the best remote-sensing data-552

retrieved snow-depth dataset available for China. However, the retrieved results have an 553

absolute error > 5 cm (Wang Wei, 2014). For the pastures type in the Naqu area, this error is 554

enough to bury the meadow. As such, using this data is not recommended for the index that 555

calculates the basis of insurance claims. 556

To sum up, %Grass height buried is not significant and has poor precision. The degree 557

of snow-covered area and snowfall duration could, on the one hand, decrease the calculation 558

difficulty and thereby increase the transparency and friendliness of the product. On the other 559

hand, the advantages of high precision and high space-time resolution data reduce the basis 560

risk of an index insurance, which likely leads to the promotion of any insurance products. 561

Therefore, in this case, the Tibetan snow index insurance was achieved by using the %area 562

snow cover and the cumulative snow duration for determining the snow cover area extent. 563

3.2 Hazard assessment 564

Data and method 565

Gridded snow-cover data, for the period of Jan 1, 1979 to Jan 1, 2011, were obtained 566

from re-analyzed data from the weather forecast system of The National Centers for 567

Environmental Prediction (NCEP, http://rda.ucar.edu/). The data recorded the %area snow 568

cover (support: 0–100%) at each 0.312°×0.312° grid cell. 569

Given any pixels, or insurance unit (such as a township, county, city), under the premise 570

of obtaining %area snow cover, a given area ratio threshold can extract those dates that lie 571

close to the threshold for that corresponding winter season. Then, we define the days with 572

continuous snow cover that meet a certain threshold as the “snow cover” process. Once 573

the %area snow cover falls below this threshold, then one process effectively ends. On this 574

basis, the duration of each snow-cover process can be obtained from which the %area snow 575

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cover can be derived. Then, two important indices can be built: (1) the maximum duration of 576

single snow-cover events in the snowing season, , which can serve as a good hazard 577

indicator for the livestock losses, and (2) the cumulative duration of snow disasters in the 578

snowing season, , which can serves as a good hazard indicator for losses related to the 579

costs of providing hay and fodder for supplementary feeding. 580

To facilitate the calculations, we define a %area snow-cover threshold as , and 581

then calculated for each season the single maximum duration and cumulative duration 582

in the Naqu area from 1984 to 2014. Then, the hazard assessment involves estimating 583

the probability distributions of both indices. As the value of is the annual maximum, 584

we can use the generalized extreme value distribution according to the annual maxima series 585

of the theory of extreme value. The generalized extreme value distribution of the probability 586

density function is given as follows: 587

(1) 588

Among its terms, are the location, scale, shape parameters, respectively. Based on a 589

random range, different variables can also be further divided into extreme value type I 590

(Gumbel) or type II (Frechet) or type III (Weibull) distributions. 591

For the accumulative duration , we use the non-parametric kernel density approach. 592

The underlying distribution of a random variable can be assembled from many kernel 593

densities centered at the samples : 594

(2) 595

596

In this function, is the kernel function, is the sample size, and is the window-597

width parameter. We used the Gaussian function and its corresponding 598

optimal window width, , in the fitting process, according to the “rule-of-599

thumb” on optimality. The value of takes the smaller value of the standard deviation and 600

the interquartile range divided by 1.34. 601

maxd

cumd

80%a =

maxd

cumd

maxd

( )

1 11

1; , , 1 exp 1

x xµ µµ s x x x

s s s

- - -ì üé - ù é - ùï ïæ ö æ ö

= + - +í ýç ÷ ç ÷ê ú ê úè ø è øë û ë ûï ïî þ

x xf x

, ,µ s x

cumd

x

{ }iX

( )1

,ih i

X Xf x K x R

nh h

-æ ö= Îç ÷

è øå!

( )K × n h

( )2/21

2

uK u e

p

=

1/51.06h ns

-=

s

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Assessment results 602

With the above estimated probability distribution, a complete spatial distribution of 603

hazard intensity at different return periods was successfully derived. The 80th, 10th, and 20th 604

percentiles of the distribution, which correspond to the 1/5a, 1/10a, and 1/20a insurance loss 605

costs, respectively, were computed for each pixel to map the insurance loss risk (Figure 3, 606

Figure 4). 607

608

609

Figure 3 Spatial distribution of the maximum duration for single snow-cover process events 610

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611

612

Figure 4 Spatial distribution of the accumulative duration for single snow-cover process events 613

614

The hazard assessment results indicate that both and present significant east-615

to-west differences. The southeast corner of the eastern three counties (Suo, Biru, and Jiali 616

counties) have better water vapor conditions, the best pastures, and vegetation cover degree, 617

but they also feature the longest duration of snow cover, in terms of both single maximum 618

and annual accumulative duration. The remaining parts of the eastern three counties and 619

northeastern counties, including Baqing County and Nierong County, belonged to the 620

second-highest risk region. Nima County and Shenzha County in the western Naqu district 621

have the least risk. 622

623

maxd

cumd

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4 Livestock snow disaster vulnerability analysis 624

A vulnerability analysis was carried out, mainly to derive the quantitative relationship 625

between hazard intensity and disaster loss, based on which the insurance payment scheme 626

can be designed so that the indemnity reflects the actual loss as much as possible. Based on 627

our fieldwork and data we collected, two analyses were performed: (1) a semi-quantitative 628

estimation, based on the household survey data, and (2) a quantitative estimation, based on 629

the historical livestock loss data. 630

4.1 Semi-quantitative results based on survey data 631

According to the loss mechanism of snow disaster obtained from the household survey, 632

cattle and sheep can survive a snow disaster for a different number of days, and these limits 633

differ by livestock type and their pre-winter body condition. With the information provided 634

by the local herdsmen in Table 3, a simple yet semi-quantitative function may be fitted to the 635

data, assuming there could be supplementary feeding that maintains the minimum body 636

condition should there be heavy snow cover (first row in Table 3). We further assume that 637

the share of cattle/sheep with good, medium, and bad body conditions are 30%, 40%, and 638

30%, respectively. Then, a simple and straightforward approaches use the piecewise function: 639

640

641

Or we apply a logistic function that is widely used when describing environmental stress on 642

animal species: 643

644

4.2 Quantitative results based on historical loss data 645

Based on the collected history loss data, the Generalized Additive Models (GAMs) are 646

employed to quantitatively analyze the vulnerability of snow disaster in animal husbandry. 647

( )

,max

,max

,max

,max

,max

0, 15

0.2,15 25

0.5,25 30

0.70, 30

d

dd

d

d

a

a

aa

a

<ìï

£ <ïD = í

£ <ïï ³î

( ),max

,max

,max

,max

0, 15

1, 30

1 37.3333 0.8629d

d

dd

a

a

a

a

<ìï

D = í³ï

+ ×î

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Factor and Data 648

Our purpose is to reveal the quantitative linkage between livestock loss and snow hazard intensity 649

together with other environmental stressors, under given exposure levels. The selection of candidate 650

factors was guided by a simple conceptual framework summarized from the existing literature (Figure5), 651

together with data availability. 652

653

Figure5 Conceptual framework of factors linking to livestock mortality in snow disaster 654

The key mechanism of livestock snow disaster is forage unavailability or inaccessibility 655

due to snow cover that leads to starvation of livestock (Fernández-Giménez et al., 2012). 656

Therefore, the direct measure of snow hazard intensity generally involves snow depth, snow 657

cover, and snow disaster duration (Li, et al., 1997; Li et al., 2006; Ye et al., 2017). Snow 658

water equivalency has also been used in some regions to present hazard intensity (Tachiiri et 659

al., 2008). In addition to snow hazard intensity, during disaster and pre-season (summer) 660

environmental stress are also believed to have crucial impact on livestock loss. During a 661

snow disaster, strong winds and low temperatures are critical stressors that increases 662

livestock fat consumption to keep body warm and therefore speed starving (Wu et al., 2007). 663

Summer vegetation has important lagged effects on winter snow disaster loss, as poor 664

summer vegetation can substantially diminish livestock body reserves, making them less 665

resistant to starvation and cold (Wang et al., 2014). Last but not the least, livestock exposure, 666

and other controlling variables, i.e. time trend and elevation, were also included. Given the 667

list of potential factors/predictors, following data have been collected. 668

1) Historical loss and exposure data 669

Historical livestock snow disaster loss data were obtained from various sources. Loss 670

records during 1961-2007 were obtained from Wang et al. (2013), which were based on 671

yearbooks of meteorological disasters up to 2008. Loss records during 2008-2015 were 672

obtained from the China Meteorological Science Data Sharing Service System (CMSDS, 673

http://data.cma.gov.cn). In total, 135 snow disaster events in 41 years were included in the 674

Pre-season stress

(vegetation)Livestock

Environmental stress Exposure

Livestock Mortality (rate)

During-disaster

stress

Temperature Wind

Snow hazard

intensity

Disaster

duration

Snow

cover

Snow

depthNDVI

Precipita-

tion

Herd

size

Time

trend

Controls

elevation

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25

dataset. For each snow disaster event, the dataset records its start and end dates, counties 675

affected, number of livestock lost ( ) and houses damaged. The corresponding end-of-year 676

county-level herder size data ( ) were obtained from Qinghai Provincial Statistical 677

Yearbook and Tibet Autonomous Region Statistical Yearbook. For the years that the data are 678

absent, herd sizes were interpolated using linear function of the county level time series, or 679

the county-provincial herd size relationship. Based on these data, livestock mortality rate ( ) 680

for each event was calculated as the number of livestock lost divided by the end-year herd 681

size of the previous year. 682

2) Snow hazard data 683

Historical daily snow depth data (1979–2013) were obtained from the Cold and Arid 684

Regions Science Data Center at Lanzhou (http://card.westgis.ac.cn/). The snow-depth data 685

were retrieved from passive microwave remote-sensing data with a spatial resolution of 686

25×25 km, based on Chang’s algorithm (Chang et al., 1987), and calibrated for regions in 687

China with ground-level observed snow-depth data. The accuracy varies somewhat between 688

the results retrieved from SMMR (1978–1987) and SSM/I (post-1987). The two absolute 689

errors were less than 5 cm and hold about 65% of all the data. The standard deviations were 690

6.03 and 5.61 cm for SMMR and SSM/I, respectively (Che et al., 2008). Historical daily 691

snow cover data (percentage of snow covered land/ total land area; 1980-2013) were 692

aggregated from the six-hour data provided by the National Centers for Environmental 693

Prediction (NCEP, http://rda.ucar.edu/), with a spatial resolution of 0.312° × 0.312°. For 694

each county, daily snow depth and snow cover were first calculated from pixel-based data 695

using zonal statistics, and then the maximum, minimum, and mean value of snow depth (SD; 696

m) and snow cover (SC; %) in each snow disaster period, together with duration of each 697

disaster ( ), were prepared as variables for snow hazard intensity. 698

3) During-disaster environmental stressor data 699

Wind speed and temperature have been frequently considered as the indicators of 700

during-disaster environmental stress in the literature. Historical daily weather data, including 701

daily maximum, mean and minimum temperatures and daily maximum wind speed from 702

1961 to 2013 for 106 national reference stations in this region were obtained from CMSDS 703

(http://data.cma.gov.cn). For each historical snow disaster event, mean daily maximum wind 704

speed ( ; m/s), as well as the mean daily maximum, average, and minimum temperature 705

( , , , respectively; ℃) were derived from corresponding station-observed data. 706

4) Pre-season environmental stressor data 707

L

N

LR

Dur

v

maxT

meanT

minT

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26

Variables for summer rainfall and vegetation deficit were also considered as suggested 708

by the literature to reflect the potential impact of summer drought on livestock body fat. We 709

have considered using the Normalized Difference Vegetation Index (NDVI) and growing 710

season precipitation data. Due to the time span of our study, the NDVI dataset consists of 711

two parts. NDVI 15-day maximum value composite (MVC) images with the spatial 712

resolution of 8 km from 1981-2006 were obtained from the Environmental and Ecological 713

Science Data Center for West China, National Natural Science Foundation of China 714

(http://westdc.westgis.ac.cn). The dataset was prepared with the algorithm of Tucker et al. 715

(1994). Monthly MODIS MVC NDVI data with spatial resolution of 500m from 2007-2015 716

were obtained from International Scientific & Technical Data Mirror Site, Computer 717

Network Information Center, Chinese Academy of Sciences (http://www.gscloud.cn). Due to 718

differences in sensor and spatial resolution, the two NDVI datasets were not directly 719

comparable. We adapted the MODIS-NDVI series to the AVHRR-NDVI series using the 720

empirical relationships proposed by Yu (2013) and Du et al. (2014). For each NDVI pixel, 721

the annual maximum value was first identified. Then, for each county, the median of all 722

grassland pixel-based annual maximum were then selected and used as the proxy variable of 723

vegetation growth. In addition to the NDVI data, forage growing season (May to Sep in the 724

QTP; Cong et al., 2017) cumulative precipitation (P; mm) were also considered as an 725

alternative measure of vegetation growth. Anomalies of NDVI and precipitation data series 726

during the period of 1979-2015 were also calculated and included in the analysis. This is due 727

to the large spatial difference in vegetation type and NDVI in the QTP. Precipitation in the 728

QTP shows an east-to-west decreasing gradient, and regions with higher precipitation show 729

more productive vegetation growth. However, these regions also experience more frequent 730

and heavier snows in winter. Using anomalies can help remove any possible confounding 731

effects due to coincidence in the spatial patterns of vegetation and snow disaster loss. 732

In addition to the data mentioned above, digital elevation data (DEMs; 90 m × 90 m) 733

were obtained from the NASA Shuttle Radar Topographic Mission (SRTM, 734

http://srtm.csi.cgiar.org/). Elevations (ELE) for county centroids were calculated as the 735

controlling variable for topography. 736

Methods 737

Given the consensus on non-linearity of the relationship, and our goal of prediction, 738

GAMs were used to quantify the relationship among livestock mortality, snow hazard 739

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27

intensity, as well as other environmental stressors. GAMs are an extension of the generalized 740

linear model. GAMs relate the expected value to the explanatory variables using a set of 741

non-parametric functions, , in which is the link function, is the 742

expected value of the response variable, are a set of explanatory variables, and are 743

unspecified smooth functions. Using the s enable GAMs to be more flexible, 744

independent of the response on the explanatory variables without specifying any parametric 745

relationship. However, the challenge remains to determine the smooth functions and their 746

smoothness. 747

Livestock mortality ( ) and mortality rate ( ) were the variables that we intended to 748

estimate and predict. Given their non-negative supports, we have used their natural logarithm 749

as the response variables. The Q-Q plots, after taking the logarithm, indicate strong evidence 750

of normality. Consequently, identical link functions were employed. 751

Three groups of predictors were considered: 1) snow hazard intensity, including snow 752

disaster duration , snow depth variables ( , , and ), and snow cover 753

variables ( , , and ), 2) during disaster environmental stressors, including 754

wind speed and temperature ( , , and ), and 3) pre-season environmental stressors 755

concerning vegetation conditions from the previous summer, including annual maximum 756

NDVI, , and growing season cumulative precipitation , and their anomalies, 757

and , respectively. 758

Time trends, elevation, and herd size were considered as the controlling variables in 759

building models. A time index variable , which uses the year of the disaster, was 760

considered to remove any collinearity related to time, i.e. socioeconomic development, 761

change of herd size, the evolvement of infrastructure, and change in climate. Elevation, , 762

was considered to control for any elevation-related effects. Additionally, herd size was also 763

controlled in the model for mortality. 764

The fitting of GAMs starts with the selection of explanatory variables. We followed the 765

procedure of preliminary analysis suggested by Anderson et al. (2016). The Pearson 766

correlation for all variables was carried out, and highly correlated predictors (with 767

correlation coefficient ) were not entered into the model simultaneously so as to 768

minimize the multi-collinearity issue (Hjort et al., 2016). Multi-collinearity diagnostics were 769

also carried out to further check this issue. The diagnostics analysis was carried out with 770

multivariate linear regression, based on which variance-inflation factor (VIF) was estimated. 771

( ) ( )1

n

j jjg f xµ a

== +å ( )g × µ

jx ( )jf ×

( )jf ×

L LR

Durmax

SDmin

SDmean

SD

maxSC

minSC

meanSC

vmaxT

meanT

minT

NDVI Pa

NDVI

aP

t

ELE

0.7r >

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28

Variables having a VIF>10 will be considered highly suspicious of multi-collinearity and not 772

be considered to enter the model. In addition, single variable GAMs were estimated to reveal 773

the preliminary relationship among response variables and predictors. 774

In order to find the most promising GAMs, various combinations of response variables 775

and predictors were considered. There were two fundamental models: 1) livestock mortality 776

can be predicted by hazard intensity and other environmental stressors, when time trends, 777

elevations and herd size are controlled, 2) livestock mortality rates can be predicted by 778

hazard intensity and other environmental stressors, when time trends and elevations are 779

controlled. For each of the fundamental model, we tried to identify the “best” model by 780

screening the variables of importance. We applied the multi-model inference method 781

(Burnham and Anderson, 2002) and carried out a data dredge analysis run for all valid 782

combinations of predictors and fit a set of competing models. The importance of each 783

predictor was obtained by adding the Akaike weights to the models in which that variable is 784

present (Burnham and Anderson, 2002). The addition of the weights of each variable can be 785

a good indicator of the relative importance of the variable (Taylor and Knight, 2003). Thus, 786

for each group of variables, the variable with the highest aggregate weights were attached as 787

a priority. 788

For the final selection of GAMs, we investigated two aspects according to the 789

suggestion of Anderson et al. (2016). On the one hand, the model needed to have a high 790

predictive power and a strong goodness-of-fit. A high predictive power will help in 791

applications of predicting loss, risk assessment, and adaptation decision-making. On the 792

other hand, all the variables should be “reasonable” predictors of mortality (rate). Some of 793

the models with high values of goodness-of-fit and degree-of-freedom may have over-fitting 794

issues, or some of the response relationships may not be supported by theory or prior 795

knowledge. Whether predictors are reasonable was verified by checking response curves. In 796

addition, for each of the fundamental model, we intend to include two models: the model 797

with the minimum number of predictors (the “minimum model”), and the model with at least 798

one predictor from each of the groups (the “full model”). If a model contained pre-season 799

environmental stressors, their verities of using NDVI and precipitation variables were both 800

included. NDVI is a more direct predictor of summer vegetation than precipitation, but 801

precipitation is a ready-to-use output from climate scenarios. 802

In our analysis, GAMs were fitted using the mgcv package of R 3.3.3, and the dredge 803

analyses were carried out using the MuMIn package of R 3.3.3. For each fitting, the pseudo 804

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29

adjusted-R2 and the total deviance explained were calculated as indicators of goodness-of-fit. 805

Additionally, a 10-fold cross validation (CV) was carried out to test the prediction power of 806

the underlying model. Metrics of predictive errors were also recorded, including the root 807

mean square error (RMSE), the mean absolute error (MAE) and the mean error (ME). 808

Results 809

The descriptive statistics of the variables, their correlation to the response variable, and 810

multi-collinearity diagnostic results under multi-variate linear regression are listed in. 811

After joining response variables and predictors, there were 80 observations left in our 812

sample, due to the shorter time-series of the satellite-retrieved data (primarily from 1980). 813

Correlation analysis showed that some variables considered had a significant linear 814

correlation relationship with the response factor, at least at one variable in each factor group, 815

except for the variables in the snow cover group and precipitation group. For the correlation 816

among predictors, in general, variables in each of the snow cover groups, snow depth groups, 817

and the temperature groups were highly correlated with each other. This result was also 818

supported by the VIF results. Therefore, variables in those groups were not allowed to enter 819

the model simultaneously. Correlation between Dur and each of the snow cover variables 820

and snow depth variables was moderate ( ). If two or more variables in each of 821

the group enters the model simultaneously, then extra caution will be needed to carefully 822

check the response curves to avoid multi-collinearity problem. 823

0.4 0.7r< <

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30

Table 7 Descriptive statistics of the variables

Variable Definition Mean SD

Correlation coefficients

VIF Deviance explained

Dredge weights

Correlation coefficients

VIF Deviance explained

Dredge weights

Livestock loss

Livestock mortality (head) 44318 63932 — — — — — — — —

Livestock mortality rate (%) 11.21 21.76 — — — — — — — — Controlling variables

Year of the snow disaster — — -0.704** 1.68 59.90% 0.95 -0.611** 1.68 50.70% 0.99

County-level year-end herd size (head) 623633 386270 0.036 1.65 0.13% 0.63 — — — —

Elevation of the county centroid (m) 3918 556 -0.017 2.35 24.70% 0.84 0.144 2.35 32.80% 0.96

Snow disaster intensity

Duration of the snow disaster (d) 25.80 29.15 0.559** 2.42 41.00% 0.95 0.571** 2.42 47.90% 0.95

Maximum daily snow depth (cm) 6.03 4.76 0.188 10.99 5.44% 0.50 0.272* 10.99 9.06% 0.37

Minimum daily snow depth (cm) 1.03 1.86 0.143 13.65 4.26% 0.48 0.192 13.65 8.90% 0.15

Mean daily snow depth (cm) 2.73 2.95 0.186 30.38 3.89% 0.44 0.268* 30.38 12.40% 0.17

Maximum daily snow cover (%) 71.96 28.30 0.029 7.65 10.40% 0.12 0.101 7.65 14.20% 0.18

Minimum daily snow cover (%) 27.00 26.48 0.164 7.48 7.15% 0.38 0.171 7.48 4.05% 0.08

Mean daily snow cover (%) 47.91 26.28 0.150 15.10 2.25% 0.25 0.199 15.10 3.97% 0.23

During-disaster environmental stressors

Maximum daily mean wind speed (m/s) 4.41 2.06 0.185 1.72 16.00% 0.91 0.179 1.72 14.10% 0.62

Mean daily maximum temperature ( ) 3.36 5.07 -0.358** 113.36 12.80% 0.57 -0.357** 113.36 12.80% 0.49

Mean daily minimum temperature ( ) -9.16 6.49 -0.450** 177.11 20.20% 0.40 -0.400** 177.11 16.00% 0.67

Mean daily average temperature ( ) -3.70 5.62 -0.433** 510.62 18.70% 0.68 -0.399** 510.62 15.90% 0.58

Pre-season environmental stressors Annual maximum NDVI 0.46 0.19 0.100 6.22 1.00% 0.48 0.044 6.22 0.20% 0.24

NDVI anomaly (%) -1.40 19.30 -0.349** 2.19 17.30% 0.46 -0.315** 2.19 16.30% 0.59

Growing season cumulative precipitation (mm) 371.46 122.40 0.060 6.96 0.36% 0.23 0.074 6.96 0.54% 0.21

Precipitation anomaly (%) 2.39 16.76 -0.051 2.33 9.27% 0.51 -0.109 2.33 1.18% 0.25

SD: standard deviation; Correlation coefficients are the result of the Pearson correlation of a predictor with each of the response variable; VIF: Variance Inflation Factor derived from a multivariate linear regression with all predictors included in the model; Deviance explained is the result of single-variate GAM of each predictor with the response variable; Dredge weights: summation of Akaike weights of the underlying predictor in the dredge analysis. ** significant (two-tailed) at the level of 0.01; * significant (two-tailed) at the level of 0.05

lnL lnLR

LLR

t

N

ELE

Dur

maxSD

minSD

meanSD

maxSC

minSC

meanSC

v

maxT

minT

meanT

NDVI

aNDVI

P

aP

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31

Single-variable GAMs indicate that time index , elevation , duration ,

maximum daily snow cover , wind speed , all temperature variables, and NDVI

anomaly all show promising capabilities (deviance explained >10%) in predicting

the response variables. Precipitation anomaly also showed potential in explaining ,

but was weak for . Dredge analysis results reported the relative importance of variables

in a multi-variate context. For mortality (lnL), evidence of including three controlling

variables, snow disaster duration, wind speed, and temperature in the model were all

convincing (the summed AIC weights >0.5). The evidence for including summer

environmental stressors was marginal (the summed AIC weights >0.4). For mortality rates

(lnLR), a very similar pattern can be found, except that none of the snow depth nor snow

cover variables had summed AIC weights >0.4.

Finally, six models were selected from the potentially promising models derived from

dredge analysis, including one minimum model, and two full model versions for each of the

response variables (Table 7). Fitting and cross-validation results indicated that all six models

showed good performance, with adjusted-R2 up to 0.794, and total deviance explained up to

85.2%. The response curves of model L-II and model LR-II are provided in Figure 6 and

Figure 7, and others are provided in Fig. S1, showing consistent patterns across the models.

Table 8 Summary of the selected promising models

ID Formula Total deviance explained

AIC GCV RMSE MAE

L-I 71.0% 261.9 1.42 1.110 0.910

L-II

81.9% 262.1 1.35 1.030 0.837

L-III 85.2% 262.4 1.28 1.077 0.876

LR-I 69.7% 277.2 1.98 1.120 0.895

LR-II 71.6% 277.6 1.99 1.139 0.898

LR-III 70.5% 288.9 2.02 1.142 0.932

t ELE Dur

maxSC t

aNDVI

aP lnL

lnLR

( ) ( ) ( ) ( )ln ~ + + +mean

L s t s Dur s v s T

( ) ( ) ( ) ( ) ( ) ( ) ( )ln ~ + + + + + +amean

L s t s Ele s N s Dur s v s s NDVIT

( ) ( ) ( ) ( ) ( ) ( ) ( )ln ~ + + + + + +amean

L s t s Ele s N s Dur s v s sT P

( ) ( ) ( ) ( )ln ~ + + +LR s t s Ele s Dur s v

( ) ( ) ( ) ( ) ( ) ( )ln ~ + + + + +amean

LR s t s Ele s Dur s v s sT NDVI

( ) ( ) ( ) ( ) ( ) ( )ln ~ + + + + +amean

LR s t s Ele s Dur s v s sT P

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32

Figure 6 Response curves of the full model for livestock snow disaster mortality (Model L-II)

Figure 7 Response curves of the full model for livestock snow disaster mortality rate (Model LR-II)

0 20 40 60 80

-3-1

13

Dur

s(Dur,4.05)

3000 4000 5000

-3-1

13

Ele

s(Ele,4.13)

0.0 0.5 1.0 1.5

-3-1

13

N

s(N,3.74)

-0.4 -0.2 0.0

-3-1

13

NDVI_a

s(NDVI_a,1.78)

1985 1995 2005

-3-1

13

t

s(t,1)

-15 -5 0 5 10

-3-1

13

T_mean

s(T_mean,1)

2 4 6 8 10

-3-1

13

s(v,2.26)

0 20 40 60 80

-3-1

13

Dur

s(Dur,4.05)

3000 4000 5000

-3-1

13

Ele

s(Ele,4.13)

0.0 0.5 1.0 1.5

-3-1

13

N

s(N,3.74)

-0.4 -0.2 0.0

-3-1

13

NDVI_a

s(NDVI_a,1.78)

1985 1995 2005

-3-1

13

t

s(t,1)

-15 -5 0 5 10

-3-1

13

T_mean

s(T_mean,1)

2 4 6 8 10

-3-1

13

s(v,2.26)

0 20 40 60 80

-3-1

13

Dur

s(Dur,4.05)

3000 4000 5000

-3-1

13

Ele

s(Ele,4.13)

0.0 0.5 1.0 1.5

-3-1

13

N

s(N,3.74)

-0.4 -0.2 0.0

-3-1

13

NDVI_a

s(NDVI_a,1.78)

1985 1995 2005

-3-1

13

t

s(t,1)

-15 -5 0 5 10

-3-1

13

T_mean

s(T_mean,1)

2 4 6 8 10

-3-1

13

v

s(v,2.26)

0 20 40 60 80

-2-1

01

23

Dur

s(Dur,4.54)

3000 4000 5000

-2-1

01

23

Ele

s(Ele,1.28)

-0.4 -0.2 0.0

-2-1

01

23

NDVI_a

s(NDVI_a,1.67)

1985 1995 2005

-2-1

01

23

t

s(t,1)

-15 -5 0 5 10

-2-1

01

23

T_mean

s(T_mean,1.33)

2 4 6 8 10

-2-1

01

23

s(v,1.99)

0 20 40 60 80

-2-1

01

23

Dur

s(Dur,4.54)

3000 4000 5000

-2-1

01

23

Ele

s(Ele,1.28)

-0.4 -0.2 0.0

-2-1

01

23

NDVI_a

s(NDVI_a,1.67)

1985 1995 2005

-2-1

01

23

t

s(t,1)

-15 -5 0 5 10

-2-1

01

23

T_mean

s(T_mean,1.33)

2 4 6 8 10

-2-1

01

23

v

s(v,1.99)

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For mortality (lnL), the minimum model included only the time index, duration, wind

speed, and average temperature. However, the performance was not as good as the full

model. Adding elevation and herd size controls, and the pre-season environmental stressors,

improved the deviance explained by more than 10%. For the full model, the version using

precipitation anomaly was markedly better than the version using the NDVI anomaly, in

terms of both goodness-of-fit and cross-validation results. Therefore, the full model with

precipitation anomaly is favored for the prediction purpose, given the availability of

variables in climate scenarios. But the full model with NDVI is favored for explanatory

purpose (Figure 6), as it is more a direct observation of summer vegetation than precipitation.

For mortality rates (lnLR), the overall goodness-of-fit and prediction power of the

models were slightly lower than those of the lnL. The minimum model included only the

time index, elevation, duration and wind speed. Adding other predictors to get the full model

version can slightly increase the goodness-of-fit, but at the cost of slightly increased cross-

validation metrics and error results. The full model using the NDVI anomaly was slightly

better than the version using the precipitation anomaly. Therefore, when predicting mortality

rates, the minimum model could be the most promising choice.

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34

5 Design of an LSII

5.1 Product design

According to the surveyed loss mechanism for a local livestock snow disaster, two

types of losses can be considered for insurance coverage. If the snow disaster is not so severe

and the snow cover does not last for a long period (e.g., < 15 days), then the associated loss

will arise in the form of mainly extra costs for the hay and fodder for supplementary feeding.

However, if the snow cover is long lasting (e.g., > 15 days) and the disaster is severe or even

extreme, then a part of or even the majority of livestock could die from starvation and low

temperatures. Then the insurance payment should target the loss of livestock. Given these

facts, two types of insurance coverage can thus be designed: basic coverage providing an

indemnity for extra costs of hay and fodder, and a catastrophic coverage providing an

indemnity for cattle or sheep deaths.

Basic coverage

If more than 60% of grassland is covered by snow in a designated insurance unit (e.g.,

town or county), and the duration of continuous snow cover is no less than 5 days but still

less than 15 days, the basic coverage will be triggered.

Within an insurance period (i.e., a snowing season), the basic coverage can be triggered

multiple times. At each time, the actual duration of each snow-cover process (when snow

continuously covers more than 60% of the grassland) will be recorded (treated as a proxy for

the extra costs of hay and fodder for supplementary feeding) and summed up as the final

seasonal aggregate measure of extra costs. Together with the daily supplementary feed cost

for each sheep unit, the total indemnity can be calculated.

Insurance claims (yuan) = insured exposure (sheep unit) * aggregate duration (days) * daily

supplementary feeding cost (yuan/day/sheep unit); wherein the aggregate duration (days) is the

summed durations of all triggered snow-cover process events

Catastrophic coverage

If more than 60% of the grassland is covered by snow in a designated insurance unit

(e.g., town or county), and this persists for more than 15 successive days, the catastrophic

coverage will be triggered.

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35

Within one insurance period, this catastrophe protection can be triggered just once.

Insurance claims (yuan) = insured exposure * expected mortality (%) * insured amount per unit

(yuan)

In the above equation, insured exposure is determined by the actual number of cattle

and/or sheep insured, and the expected mortality rate may be determined using the

relationship derived from the field work or GAM results. If the piecewise indemnity function

of based on field work response is used, the expected mortality can be defined as follows:

� Snow-cover ratio ≥ 60% and 15 days < duration dates ≤ 25 days is a serious snow

disaster, and the expected mortality rate of cattle and sheep is 30%;

� Snow-cover ratio ≥ 60% and 25 days < duration dates ≤ 30 days is a grave snow

disaster, and the expected mortality rate of cattle and sheep is 60%;

� Snow-cover ratio ≥ 60% and 30 days < duration dates is an extremely severe snow

disaster, and the expected mortality rate of cattle and sheep is 85%;

The amount of insurance for a single livestock unit is taken from the current agricultural

insurance in TAR, for which cattle = 4200 yuan/unit and sheep = 400 yuan/unit.

In the design of the above compensation program, the %area snow-cover threshold is

higher than 40%, as suggested by the TAR Meteorological Administration. We note the

following considerations when modifying this threshold: (1) in the case of small-scale

snowfall events, while the snow-covered meadow ratio set to 40% will show that the

meadow area is still larger than the snow-covered area in the region, whose impact on the

animal husbandry is not too serious; (2) in the original standards of the autonomous regional

meteorological administration, the snow-cover depth is considered as well as the snow-cover

ratio area; since the simplified scheme omits a snow-cover depth index, we recommend

increasing the threshold of the snow-cover area ratio; and (3) via the latter calculated case, a

snow-cover ratio set to 60% is much easier to trigger than a 80% threshold, and the

catastrophic indemnity would be too frequent, which is unrealistic.

5.2 Example of an indemnity calculation

To further illustrate the design of the snow disaster index and the operation process

under a practical situation, the following example is offered. According to the daily snowfall

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and snow-covered data provided by the regional climate center in the Naqu area, the 2007–

2008 winter period was used in this example scenario.

Data

The example uses the National Snow and Ice Data Center data of daily snow cover

from the northern hemisphere from October 1, 2007 to May 31, 2008

(http://nsidc.org/data/g02156). The valid data spanned 240 days. It had a spatial resolution of

4 km, with a time resolution of one day, and covered the entire northern hemisphere. The

data effectively identifies surface snow cover, ice sheets, and non-snow-cover areas (Figure

8).

Note: In the above figure, the areas with snow cover are indicated in white, while the green

areas are vegetation, blue are lakes, and gray any other land types.

Figure 8 Snow-cover distribution in the Naqu area (2007–2008)

Derivation of %area snow cover

The case example here employed the spatial analysis function of ARC/GIS, and IDL, to

analyze the spatial overlay on the snow-cover raster data, on a daily basis, separately at the

county and township administrative levels in the Naqu area. It uses the zonal statistics and

zonal histogram commands to convert the snow-cover data into snow-covered ratio data on a

daily basis, for each administrative level (Figure 9, Figure 10).

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Figure 9 Snow-covered ratio at the county administrative level in Naqu (2007–2008)

Figure 10 Snow-covered ratio at the township administrative level in Naqu (2007–2008) 2

Calculation of the snow disaster index

Using the daily data for snow-cover ratio, a snow disaster index could be calculated

according to the compensation program under the proposed snow disaster insurance scheme.

The snow-cover daily data were determined according to the specific coverage threshold.

Specifically, all the snow-covered areas reaching an 80% threshold lasting more than 15

days will trigger the compensation standards of the catastrophe guarantee, thus making the

insured eligible for compensation.

Take the example of Naqu County (Figure 11). In the winter of 2007–2008, the 80%

snow-covered area condition was met on three occasions, lasting 7, 6, and 4 days

respectively, thus all failing to satisfy the trigger condition for catastrophe guarantee.

2 At present, there is no public release of township boundary data. The data used here is for illustrative

purposes only.

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Figure 11 Daily percentage change of snow-covered area in the Naqu County (2007–2008)

Based on this outcome, the maximum consecutive days and total number of days of

2007–2008 winter at the county and township levels in Naqu area were respectively

calculated (Figure 12, Figure 13).

Figure 12 Resulting snow disaster index at the county level in the Naqu area (2007–2008)

Figure 13 Resulting snow disaster index at the township level in the Naqu area (2007–2008)

0.00%

10.00%

20.00%

30.00%

40.00%

50.00%

60.00%

70.00%

80.00%

90.00%

100.00%

2007/10/1 2007/11/1 2007/12/1 2008/1/1 2008/2/1 2008/3/1 2008/4/1 2008/5/1

Naqu County

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Figure 12 shows that during the insurance period of winter 2007–2008 there are four

eastern counties with a high snow coverage and long snow duration in the Naqu region,

among which the Jiali County in the southeastern region was the most serious. Considering

the trigger standard used, Jiali County reached the trigger condition of a catastrophe

guarantee (the number of consequtive snow-cover days =20). This should be paid according

to the first settlement of the catastrophe guarantee and the 30% expected mortality rate.

The calculated results for the snow disaster index at the township level are similar to

those at the county level, nonetheless regional differences are evident. With respect to the

catastrophe guarantee, if the county functions as the basic insurance unit, only Jiali County

trigged the condition; however, if the township is the unit, the Nierong, Biru, Suoqing

counties (and so on) trigged the condition, whereas others did not (e.g., Jiali County).

Meanwhile, the number of consecutive days of snow cover beyond the trigger threshold for

some counties was more than 30 days, which reaches the highest level of available

compensation under the catastrophe guarantee insurance. The difference between the two

administrative levels is mainly due to differing calculations of snow-covered areas between

greater area and inner smooth area; the average regional outcome tends to hide serious snow

disasters. Therefore, in this sense, it may be more consistent with the reality of the region to

use township as the basic of unit for insurance.

Calculation of the insurance payment

Depending on the results of the snow disaster index at the spatial scales of counties and

towns, it is possible to determine the payments to either of them for case period of the

insurance. For the illustrative purpose, only the county list of insurance payment was

provided (Table 9). Technically, it is better to measure insurance payment at township level.

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Table 9 Estimated snow disaster index insurance compensation in the Naqu Prefecture (2007–

2008)

County Catastrophic indeminity

Jiali County 20 days, using an expected mortality rate of 30%; cattle indemnity= 4200 yuan/unit*30% = 1260 yuan/unit; sheep

indemnity = 400 yuan/unit*30% = 120 yuan/unit

Shenzha County —

Bange County —

Naqu County —

Shuanghu Special

County

Suo County —

Biru County —

Anduo County —

Baqing County —

Nima County —

Nierong County —

5.3 Premium rate making

Insurance loss risk assessment

According to the principle of insurance pricing, the pure risk loss rate is the expected

value of the loss-cost ratio. To better link the product to practical situations, the process of

rate making often takes the average rate at an administrative unit level according to the

county and township borders, and the pure risk loss rate can then be obtained under the

conditions of catastrophe coverage. The pricing for basic coverage and catastrophic coverage

are as follows:

(1) Basic coverage

According to the payment method, under basic coverage, the insurance indemnity for each

sheep unit in a given snow season is described as follows:

(3)

where is the insurance payment of basic coverage in snowing season of year (October

1 to May 31 of the next year); is the per sheep unit per day payment, expressed in

yuan/day·sheep unit, as determined by the local feeding cost; is the duration of the ith

snow-cover process event that triggers the basic coverage (satisfied by %area

, ,, 5, 0,1,...,

L

t L i i til p d d i N

a a= × " ³ =å

tl t

Lp

,ida

80%a ³

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snow cover); is the total number of process events that are triggered in a given winter

season.

By definition, the loss-cost ratio is the ratio of insurance loss to corresponding liability.

Therefore, the loss-cost ratio for basic coverage in year is as follows:

(4)

Applying the equation to historical snow-cover data, we can derive the loss-cost ratios

accordingly. Then, a kernel density estimator can again be applied to the lost-cost ratios to

derive its expected and return-period values (Figure 14).

Figure 14 LSII loss risk for Naqu (basic coverage)

(2) Catastrophic coverage

Under catastrophic coverage, the insurance payment for each sheep unit can be defined as

follows:

(5)

where is the catastrophic coverage of year t;

is the standard of compensation for

the catastrophic coverage, expressed as yuan/sheep unit;

is the maximum

tN

t

,

,

0

, 5, 0,1,...,243

itL i

t i

dlcr d i N

d

a

a= " ³ =

-

å

( )max

CAT

t CATl p d= ×D

CAT

tl

CATp

{ }max ,max

itd d

a=

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duration for a single snow-cover process in year t that have triggered the threshold ;

is the vulnerability function of a serious snow disaster for livestock, which take any

form as discussed in the previous chapter.

Figure 15 LSII loss risk for Naqu (basic coverage) (catastrophe coverage)

Premium rating results

According to the principle of insurance pricing, the actuarially fair premium rate is exactly

equal to the expected loss-cost ratio. Given all distributions derived above, we can calculate

the actuarially fair premium rates for the basic and catastrophic coverage, respectively. Since

the pricing results are likely to be applied in practice, it would be better to link these rating

results to the administrative regions rather than keep them on a pixel basis. Therefore, after

getting the expected loss-cost ratios at the pixel level, we applied zonal statistics to derive

the rates at the township level. These results are presented below in

Figure 16 andFigure 17.

80%a ³

( )D ×

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Figure 16 Resulting premium rate for the snow disaster index insurance (basic guarantee) in

the Naqu area

Figure 17 Resulting premium rate for the snow disaster index insurance (catastrophe

guarantee) in the Naqu Prefecture

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The preceding figures reveal obvious eastern-western differences between the net risk

loss rates of catastrophe guarantee for the county unit, which are higher in the east than in

the west. For instance, Naqu region’s southwest, which includes the south of Nima County

and the west of Shenzha County, is the low risk region with a net risk loss rate of < 0.01. The

pure risk loss rate is < 0.03 in the central region and has a tendency to extend into the

medium risk region. But the southeast, which includes the townships of Zhongyu, Gequn,

Jiali in Jiayi County, the Yangxiu and Baiga townships in Biru County, and the Gamu

Township in Suo County, represents the region with highest risk.

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6 From report to policy

6.1 Involving local communities: pilot insurance programs

To further understand how local communities may respond to snow disasters, and to

verify our vulnerability relationship as employed in the risk assessment, and to check local

herdsmen’s perspectives on the designed LSII product, more fieldwork was carried out

during July 24–August 4, 2017, in the Naqu district. During this stretch of fieldwork the

research team mainly visited western Naqu, the major animal husbandry region of the Naqu

district, which has 11 towns in five counties. The fieldwork schedule and routine are

summarized in Figure 18. We used stratified sampling approach. The sites we visited cover

every pastoral county in central and west Naqu. In each county, three or four villages were

recommended to us by representatives of the local government. In fact, the sampling done

was a compromise, in that it was impossible us to assess the full list of villages in each

county, and then randomly select sites from each. Due to some language problems, the team

had to follow the suggestions from local government representatives. In total, 11 small-scale

workshops/ campaigns were held, with 238 herdsmen interviewed, and 233 valid anonymous

questionnaires collected from them.

Figure 18 Schedule and routine of the second round of fieldwork done in Naqu

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Workshop/campaign design

Our workshops and campaigns were organized with the help of the PICC Tibetan

headquarters and the PICC Naqu Branch. For each town visited, a local insurance agent from

the county-branch of PICC, and their contact person in the county government (usually the

official in the county department of agriculture and animal husbandry) helped to coordinate

people at the township and village levels. In each town, its herdsmen were invited to gather

for the workshop and campaign activities. The size of each workshop varied greatly by

township, from just several herdsmen up to 70 people in attendance.

At each workshop/campaign site, the local official first introduced the research team

and the goal of the research to the herdsmen’s representatives. Then the research team

coordinator made a self-introduction, and elaborated on the workshop’s purpose, detailed its

plan, and spoke of its potential practical significance. After that, personal interviews were

held. The interview process was conducted mainly by the research team members. All the

questions were designed and presented using a smart phone-based on-line survey system

(https://www.wjx.cn/). The QR plot of the survey is still available on-line (For more

information about the on-line survey, please refer to Appendix 2; in Chinese.) Since most of

the local herdsmen could neither read nor speak mandarin, the local official or the insurance

agent helped with translations.

The interviews consisted of the following parts:

(1) Household information, including the household head’s gender and age, household

size, yak/sheep owned, etc.

(2) Historical snow disaster experience, including the dates, duration, and livestock

mortality of the severest snow disaster that the household had experienced.

(3) Snow disaster preparedness and infrastructure, including the area of alpine roofed

shelters owned by each household, pre-winter storage of hay/forage and fodder,

market prices of hay/forage and fodder, etc.

(4) Snow disaster emergency management strategy, including the actions that a

household is to adopt when a snow disaster strikes, the endurance of yak/sheep

when starving, due to the inaccessibility of a forage supply during the snow disaster

given different levels of supplementary feeding inputs.

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(5) Insurance perception and acceptance of an index-based snow disaster insurance,

including households’ awareness and perception of the existing agricultural

insurance in the study region, their perception of index-based insurance products,

and willingness-to-pay for the index-based insurance product design by this project.

Workshop/campaign findings

The descriptive statistics of the sample are listed in Table 10. The respondents were

mainly male household heads, with an average age of ~41–50 years. The households mainly

had four to five people in them. Annual household income was below 10 000 yuan,

corresponding to the middle-to-low income class, and the major source of income is selling

yak/sheep. The average number of live yak in stock is approximately 40 per household, and

every year on average three yaks are sold. The average number of live sheep in stock is

approximately 97 per household, with 12 sheep sold yearly on average.

Table 10 Descriptive statistics of the sample

(1) Historical disaster experience

Of the 236 households interviewed, 151 had experienced a snow disaster. The years 1985,

1997, and 2016 had the highest frequency of being indicated as one with a “severest snow

disaster”, and the stated livestock mortality rates for all the three years at the household level

were all above 50%. This stated experience coincides with the records kept by the

meteorological administration (Wen, 2008; China meteorological disaster catalogue: Tibet

Features Count Min Max Average Standard

deviation

Gender 236 0 1 0.83 0.38

Household (1 = yes; 0

= otherwise)

236 0 1 0.89 0.32

Age (years) 236 2 7 4.99 1.16

Household size

(persons)

236 1 6 3.67 1.60

Yak in stock 227 0 680 40.09 53.02

Sheep in stock 226 0 4500 97.19 331.22

Yak sold 227 0 60 3.59 5.05

Sheep sold 226 0 600 12.44 44.51

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volume). The 1997–1998 snow disaster in Naqu began in September and lasted until late

June of the next year; it covered 90% of the grassland and led to the death of 0.82 million

livestock. The herd size was restored only 12 years later.

Table 11 Stated historical snow disaster experience

(2) Snow disaster preparedness and infrastructure

The average size of an alpine roofed shelter is 105 m2 per household. However, over 63%

of the respondents indicated their needs and willingness to build new shelters or to enlarge

the existing ones. A high majority of respondents (88%) did prepare forge/hay and fodder in

advance for use in the winter season. To do this, they use various approaches, including

buying forage from the market, self-planted forage, and government-allocated forage. On

average, each household spends over 3000 yuan in buying forage and fodder before every

winter season. That portion provided by the government amounts to a small share of the

forage needed by a household, which is quickly consumed once a major snow disaster strikes.

Year Household Duration Yak died Sheep died

Mortality

percentage

for yak

Mortality

percentage

for sheep

1985 34 10 67 290 72% 70%

1995 1 3 10 30 25% 15%

1996 1 30 4 15 6% 16%

1997 40 39 30 66 59% 53%

1998 3 66 31 25 62% 50%

2011 14 25 6 18 32% 41%

2013 7 8 6 18 20% 12%

2014 2 6 0 5 0 45%

2015 3 4 3 81 21% 26%

2016 36 4 2 6 7% 10%

2017 9 5 2 10 8% 11%

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Figure 19 Sources of supplementary feeding in the winter season

(3) Snow disaster emergency management strategy

Over 70% of the respondents indicated that, once there was a snow disaster leading to

their inaccessibility to open grassland, they chose to provide supplementary feeding to their

livestock at the “half full” level, so to achieve a good balance between a decrease in body fat

and the duration that the storage could support. At the “half full” standard, a yak requires 1.4

kg of hay and 1.4 kg of fodder, while a sheep requires 1.2 kg of hay and 1.1 kg of fodder.

The supplementary feeding costs for yak and sheep are ~16 and ~13 yuan, respectively.

Table 12 Daily supplementary feeding amounts and costs

Given the mode of supplementary feeding, yaks could survive for 3.0–9.0 days on

average, while sheep could survive for 3.6–9.9 days on average. Compared to the earlier

parameter that we used in the vulnerability analysis, this estimation of survivorship is much

more conservative.

Level of

supplementary

feeding

Households Hay/yak

(500 g)

Fodder/yak

(500 g)

Hay/sheep

(500 g)

Fodder/sheep

(500 g)

Cost/yak

(yuan)

Cost/sheep

(yuan)

Full 40 3.89 4.30 2.50 3.21 22.94 11.98

Half full 165 2.87 2.85 2.44 2.26 16.10 13.28

Minimum 31 2.65 2.07 2.13 2.34 13.44 12.51

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Figure 20 Stated livestock endurance to a low food-intake under supplementary feeing

conditions

(4) Insurance perception, experience, and WTP for snow index insurance

In Tibet, the government provides agricultural insurance for crops, livestock, housing,

and protected agriculture (or controlled environmental agriculture), but at very low liabilities.

The interviews show that local herdsmen have relatively good understanding of livestock

insurance and household property insurance, but they are not familiar with either crop

insurance or agricultural infrastructure insurance. This is closely related to the region’s

experience of purchasing insurance. Out of the 230 respondents, 166 had received an actual

livestock insurance payment, and the average indemnity per household was over 5000 yuan.

Table 13 Agricultural insurance: perceptions and experiences

Degree of

understanding

Degree of

relative

importance

Number of

households

purchased

Number of

households

with

indemnity

experience

Indemnity

/household

(yuan)

Crop insurance 2.25 2.52 11 3 1700

Livestock insurance 3.89 4.07 230 166 5176

Household property

insurance

3.58 3.81 123 15 9925

Protected agriculture

insurance

2.26 2.52 11 2 0

Note: The degree of understanding and degree of relative importance are 5-level ordinal metrics: a higher number

represents a better understanding or higher importance.

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Due to the limited years of education, although most of the local herdsmen know the

existence of current insurance programs, they can hardly understand how it works. Because

index-based insurance is completely new to them, considerable time for its propagation and

communication is required to help local people learn how use the product to their benefit.

As for what contributed to livestock mortality during snow disasters, factors ranked in

descending order according to the tallied votes of local herdsmen are snow-cover duration,

wind speed, snow depth, and temperature. Thirty-five percent of the respondents indicated

that snow disaster duration was the most important factor for predicting the snow disaster

loss in livestock.

As the loss adjustment of an index-based insurance relies heavily on the underlying

index, the local herdsmen’s concerns about the weather information is important. Our

interviews show that 73% of the respondents’ obtain weather information from the public

media. For the disaster early-warning messages (i.e., snow disaster early-warning), 97% of

the respondents will act immediately upon getting this information. They highly trust the

data reported by the meteorological administration. Therefore, trust is likely not a major

problem for the new index-based insurance product.

After carefully explaining the new product, and providing evidence of pilot loss-

adjustment results based on historical data, 96% of the respondents indicated that the product

was feasible to them, with an overall rating of 3.74 (the highest possible score is 5). An

impressive 97% of the respondents indicated their willingness to purchase the proposed

product. For yaks, the average WTP is 2.91 yuan/head (vs. a liability of 2400 yuan/head).

The WTP for yak is higher than the premium paid by herdsmen for the present yak mortality

insurance (2.52 yuan/head, after 96% of a government premium subsidy). For sheep, the

average WTP is 1.15 yuan/unit (vs. a liability of 480 yuan/sheep). This value is also higher

than the premium of the existing sheep mortality insurance (0.24 yuan/sheep, after 96% of a

government premium subsidy). Therefore, in order to implement and run the new index-

based insurance product, continuing the premium subsidy provided by the government will

be critical for any success. Fortunately, this should not be a make-or-break issue, since the

majority of agricultural insurance programs in China are government-subsidized. Given the

uniqueness of Tibet, and the urgent need to improve the livelihood of Tibetan herdsmen,

such a fund is very likely to be approved by the local, and perhaps even central, governments.

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6.2 Involving local governments: preparation and launching of the product

To promote the approval of the designed LSII product in TAR, a review meeting was

organized by the PICC Tibet Branch on August 17, 2017. TAR government official

representatives—including people from the TAR financial office, Department of Finance,

Bureau of Insurance Regulation and Inspection, Department Agriculture and Animal

Husbandry, Department of Civil Affairs, and TAR Meteorological Administration—and

Naqu Prefecture government official representatives—including the Vice-Commissioner of

the prefecture government in addition to leading persons in the corresponding

departments/bureaus at the prefecture level—were all invited to review the LSII technical

plan together. (Formal invitation letters for this conference and a list of reviewers invited is

provided in Appendix 3, in Chinese.)

Chairing this conference was the director of the agricultural insurance division at the

PICC Tibet Branch. The project PI elaborated on the outcomes of the entire research project,

by giving an overview of the index-based insurance progress worldwide, the livestock snow

disaster mechanism in the Naqu district, the selection of the snow disaster index,

vulnerability analysis, and product design, the risk assessments and premium calculations, as

well as the local herdsmen acceptance and willingness-to-pay.

Figure 21 Overview of the conference

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Figure 22 Project PI, Prof. Ye, Tao is presenting the technical plan of the designed insurance

product

Figure 23 Mr. Zha, Jiang (Vice-Commissioner of the Naqu Prefecture government) is

commenting on the technical plan of the product

The reviewers listened to the presentation, carefully read the reports supplied, and

brought up critical questions and comments. In general, the reviewers were quite positive

about the potential of using index-based insurance in the Tibet region, and likewise so

concerning the technical plan of the insurance product. No comments or questions were

raised concerning the general framework and the structure of the product. Questions and

comments were mostly about technical details; e.g., the threshold of snow-cover area

percentage and the minimum days of duration that triggers an insurance payment, per sheep

unit per day insurance liability, and uncertainty in the satellite-retrieved daily snow-cover

data, and so on. The research team carefully answered the questions and responded to the

comments and concerns raised by the reviewers. The reviewing team appreciated the efforts

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made by the research team, and looked forward to a revised version of the technical plan of

the proposed product.

Revisions to the plan according to the questions and comments raised during the review

conference were carried out immediately after the conference, and finalized on September 15.

(Please refer to Appendix 3 for the complete list of questions and comments, and

corresponding response and revision records, in Chinese.)

Before this report is submitted, the PICC Tibet Branch will have begun organizing the

document-based second round of review. All the departments that were invited to the review

conference will receive a copy of the revised technical plan, with a detailed letter of response

that explains the revisions or reasons that a particular revision was not carried out. Based on

the response by the departments, a formal application for turning the LSII product technical

plan into a real LSII policy will be submitted to the TAR financial office, and to the CIRC

Tibet Bureau, for final approval.

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7 Discussion

7.1 Future work

By the time this report is submitted, the expected outcomes and deliverables listed in

the technical proposal will have all been fulfilled, except for two pieces of work under

review. However, the ultimate goal of this project is to turn an index-based livestock snow

disaster insurance into practice, which lies beyond the outcomes written in the proposal. To

achieve such a goal, the following road map is provided:

� After the technical plan receives its approval from the TAR government, a formal

application to open a new insurance product shall be submitted to the CIRC Tibet

Bureau, and finally to the CIRC, for official approval of the insurance product. This

could take 2–4 months of review and paper work.

� After receiving the formal reply and approval of LSII from CIRC (expected in late

February, 2018, but the exact time could vary depending on the CIRC inspection

process), the PICC Tibet Branch will put the product into the marketplace.

Simultaneously, an application for the continued government premium subsidy will be

submitted to the TAR office of finance and the TAR Department of Finance.

� The signed LSII policies with local villages in the Naqu Prefecture are expected by late

April 2018. Similar to the first-year pilot program conducted, it will not cover the entire

region of Naqu, but will likely cover the counties of Naqu, Anduo, and Nierong in the

Naqu Prefecture’s central region.

� Review and revise the LSII policy after a one-year trial period, when more experience

and lessons can be learned from its actual operation (most likely to happen in summer

2019).

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7.2 Suggestions for implementation

(1) Involvement of government agencies

Although the designed LSII aims at using a market-based solution (insurance) to

mitigate risk issues faced by local herdsmen, involvement of the public sector is necessary to

guarantee the fluid operation of LSII. There are several reasons for this.

First, as an index-based insurance product, all loss adjustments purely rely on the

underlying index. Consequently, the observation, calculation, and announcement of the

index together form the product’s keystone. The Tibet meteorological administration is

capable of receiving MODIS Aqua and Terra raw data, and with this data produce a daily

snow-cover map. Therefore, the meteorological administration will be indispensable in

running the project.

Second, China’s booming agricultural insurance market since 2007 is the result of

strong government support, particularly tens of billions in the form of a premium subsidy.

The implementation of LSII is not likely to succeed if there is no government subsidy

involved. Presently, local herdsmen can receive up to 96% of a premium subsidy from the

central, TAR, prefecture, and county governments combined. Without this subsidy, LSII can

hardly be attractive to the local herdsmen. However, if similar rates of subsidy are also

provided, LSII is likely to be preferred by local herdsmen according to our survey results.

(2) Education of local herdsmen to use the product

The literature, our interview results, and the feedbacks during the review conference all

point to the importance of educating local herdsmen to use index-based insurance product.

Due to their extremely low education level, local herdsmen in Tibet have shown difficulties

in understanding the current indemnity-based insurance programs. Rushing the LSII into the

market may lead to some confusion and misunderstanding, as the two types of insurance

products are completely different in terms of their loss-adjustment process. Particularly, the

basis risk issue whereby indemnity does not match actual losses claimed could lead to

serious issues. Therefore, much work needs to be done before the LSII is introduced to local

herdsmen, including education and propagation workshops, hypothetical loss adjustments

and indemnity campaigns, etc.

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7.3 Potential impacts

For the Tibet region, the designed LSII in this report can help local herdsmen transfer

snow disaster risks and get much-needed funds for disaster recovery, particularly to recover

their livelihood. Once more experience and lessons are learned from Naqu Prefecture, the

product may be used in Ali Prefecture, a region with a similar snow disaster mechanism as in

Naqu, also in Tibet.

The potential impact is not limited to the Tibet region. Livestock snow disaster is not a

special case restricted to Tibet only and is quite common in Central to East Asia temperate

and alpine grasslands. Kazakhstan, Mongolia, and Inner Mongolia in China all are

susceptible to similar types of disasters. In Mongolia, an index-based livestock insurance has

been developed with assistance from the World Bank, but it uses a surveyed livestock

mortality rate reported by the bureau of statistics, which may subject to human influence or

bias. Our LSII product structure can be used in those regions as well, so long as the

parameters, thresholds, and triggers are properly adjusted to reflect the local environmental

and socio-economic conditions.

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Appendix 1 Photographs of fieldwork

Figure 24 Workshops in Naqu District in summer 2017

Figure 25 Household interviewer (left panel) and roofed shed check (right panel) in summer

2017

Figure 26 Team members with local insurance company manager in summer 2017

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Figure 27 Workshops at Maqu (left) and Yanshipings (right), Anduo county in summer 2018

Figure 28 Workshops at Beila (left) and Qinglong (right), Bange county in summer 2018

Figure 29 Workshops at Cuba (left) and Shenzha (right) county in summer 2018

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Appendix 2 Questionnaire of community response to livestock snow disaster

The Vulnerability of Animal Husbandry in Snow Disaster in

Qinghai-Tibetan Plateau Questionnaire

[as translated from the Chinese verion]

Academy of Disaster Reduction and Emergency Management, Beijing Normal University

Purpose

This questionnaire is designed to understand the status of the Qinghai-Tibetan Plateau

herdsmen family during winter disasters and the characteristics of vulnerability that

results in the deaths of livestock. To provide technical assistance to reduce livestock

disaster, please fill in the questionnaire according to the actual situation and ideas.

Confidentiality

All the information that you provide in this questionnaire will be kept confidential, while

all personal information and feedback contents would be used only as a statistical

analysis of data, and the participants in the process cannot be identified as the results

will be presented on the basis of summary.

1. Gender: [Choice]*

○ Male ○ Female

2. Age: [Choice] *

○ Under 18 ○ 18~25 ○ 26~30 ○ 31~40 ○ 41~50 ○ 51~60○ Above

60

3. Please choose the city or district and province: [Choice] *

_________________________________

4. Your location: [Fill in the Blanks]

_________________________________

5. Are you the head of the household? *

○Yes.

○No, I am not the head of the household.

6. How many people are there in your family (the people you live with every day)? *

○Less than 3 people

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○3 people

○4 people

○5 people

○6 people

○7 people and more

7. What is the average annual net income of your family? [Multiple Choice] *

○<4500 yuan

○4500~9999 yuan

○10000~14999 yuan

○15000~19999 yuan

○20000~24999 yuan

○25000~29999 yuan

○30000~34999 yuan

○35000~39999 yuan

○>40000 yuan

8. The number of livestock in your home [Matrix Text Questions] *

Cattle ________________________ unit

Sheep ________________________ unit

9. What was the number of livestock slaughter last winter? [Matrix Text Questions] *

Cattle

Slaughter ________________________ unit

Sheep

Slaughter ________________________ unit

Snow disaster is an important disaster affecting the production and life of

herdsmen in the plateau winter, which has aroused extensive concern of the

government and society. In order to reduce the impact of snow disaster on

livestock, the government intensified efforts to help herders build warm housing,

storage of forage materials, to prepare for emergency response. We would like to

know more about the impact of the snow disaster in your home.

10. Have you experienced snow disasters? [Choice] *

○No, I have not.

○Yes, I have.

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11. Please describe the most severe snow disaster you experienced. [Matrix Text Questions]

*

Year ________________________ year

Lasting days ________________________ days

Cattle deaths ________________________ unit

Sheep deaths ________________________ unit

12. How many livestock werethere when you experienced the snow disaster in your home?

[Matrix Text Questions] *

Number of

Cattle ________________________ unit

Number of

Sheep ________________________ unit

13. Please objectively evaluate the impact of winter snow disaster on your productive life

(by severity, 1 is the lightest, 5 is the most serious). [Multiple Choice] *

○No impact ○Light impact○Average

impact

○Relative large

impact ○Serious impact

14.Is there any warm housing in your family? [Multiple Choice] *

○There is no warm barn. Warm barn is used to protect livestock from snow disaster and low

temperatures.

○There is warm barn and there is sufficient area to accommodate all livestock. Warm hosing

is used to protect livestock from snow disaster and low temperatures.

○There is warm barn, but it is too small to accommodate all livestock. Warm hosing is used to

protect livestock from snow disaster and low temperatures.

15. Warm housing can effectively help cattle and sheep against snow disaster. Do you plan

to build or expand warm housing in the near future (3 years)? [Multiple Choice] *

○Yes, I do.

○No, I do not.

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16. Why do you choose not to create or expand? (Choose one or more) [Multiple responses]

*

□Building warm housing is not very useful to resist snow disaster.

□Lack of sufficient money.

□Lack of helpers in the household.

□Lack of sufficient area in the household.

□Other difficulties _________________

Please fill in the blanks to specify.

17. How many square meters is your warm housing area? [Fill in the Blanks] *

_________________________________

18. Will you reserve some winter fodder for the cattle and sheep before winter? [Multiple

Choice] *

○Yes, I will.

○No, I will not.

19. What is the source of winter fodder for your livestock? (Choose one or more and

specify the answers)[Multiple selections] *

□Purchase the fodder

□Harvest the fodder

□Plant the fodder

□Fetch the fodder

□Government supplies

20. Last winter, you purchased a total of ___jin fodder for livestock, concentrated (highland

barley etc.) ___ jin. [Fill in the Blanks]*

21. Last winter, you harvest a total of ___jin fodder[Fill in the Blanks]*

22. Last winter, you planted a total of ___square metersfodder,or, last winter,you planted a

total of ___jin fodder [Fill in the Blanks]*

23. Last winter, you fetched a total of ___jin fodder[Fill in the Blanks]*

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24. Last winter, the governmentsupplied a total of ___jin fodder[Fill in the Blanks]*

25. Last winter, the price of dry fodder is ___ yuan/jin, the price of concentrated (highland

barley, etc.) is ___ yuan/jin[Fill in the Blanks]*

26. Why don’t you reserve fodder? (Choose one or more) [Multiple responses] *

□Reserving fodder does not help livestock to live a safe winter.

□I do not have a habit of stocking fodder.

□I do not have enough money.

□I want to buy, but there is no place to buy fodder.

□Other _________________

Please fill in the blanks to specify.

After a heavy snowstorm, the snow will bury the pasture, causing the livestock

fail to dig the snow to eat grass. Being kept at home, the livestock need you to fill

up fodder to keep them alive. Below, we would like to know more about the

feeding of livestock in your home and the characteristics of snow disaster.

27. How do you feed the livestock when you feed them the additional fodder? [Multiple

Choice] *

○Full complement feeding.

○A small amount of feeding to maintain the half full status of livestock.

○Just enough to keep the livestock from starving.

28. Under the condition of “full complement feeding”, the daily feeding of each cattle

(jin)[Matrix Text Questions] *

Dry

Fodder ________________________ Jin (as 500g)

Concentra

ted

Fodder

________________________ Jin

29. Under the condition of “a small amount of feeding to maintain the half full status of

livestock”, the daily feeding of each cattle (jin)[Matrix Text Questions] *

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Dry

Fodder ________________________ Jin

Concentra

ted

Fodder

________________________ Jin

30. Under the condition of “just enough to keep the livestock from starving”, the daily

feeding of each cattle (jin)[Matrix Text Questions] *

Hay ________________________ Jin

Concentrated

Fodder ________________________ Jin

31. Under the condition of “full complement feeding”, the daily feeding of each sheep

(jin)[Matrix Text Questions] *

Hay ________________________ Jin

Concentrated

Fodder ________________________ Jin

32. Under the condition of “a small amount of feeding to maintain the half full status of

livestock”, the daily feeding of each sheep (jin)[Matrix Text Questions] *

Hay ________________________ Jin

Concentrated

Fodder ________________________ Jin

33. Under the condition of “just enough to keep the livestock from starving”, the daily

feeding of each sheep (jin)[Matrix Text Questions] *

Hay ________________________ Jin

Concentrated

Fodder ________________________ Jin

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34. Cattlein the above feeding mode, how many days can the adult cattleof different fat

survive (good fat > poor fat)? [Matrix Text Questions] *

Good Fat ________________________ Days

Poor Fat ________________________ Days

35. Sheep in the above feeding mode, how many days can the adult sheepof different fat

survive (good fat > poor fat)? [Matrix Text Questions] *

Good Fat ________________________ Days

Poor Fat ________________________ Days

We would like to know more about your purchase of agriculturalinsurance and

agricultural insurance compensation in recent year.

36. How much do you understand the following agriculturalinsurance products? (Choose

one or more)[Matrix Multiple Choice] *

Do not

understand at

all

Not

too

well

Average Relatively

well

Very

well

Planting (highland barley, wheat,

potatoes, etc.) ○ ○ ○ ○ ○

Aquaculture (Tibetan cattle,

Tibetan sheep) ○ ○ ○ ○ ○

Property insurance (agricultural

herdsmen own housing,

agricultural motor vehicles)

○ ○ ○ ○ ○

Facilities agriculture (greenhouse

vegetables, greenhouse frames) ○ ○ ○ ○ ○

37. What do you think of the importance of the above agricultural insurance? [Matrix

Multiple Choice] *

Not

at all

Not too

important Average

Relatively

important

Very

important

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Planting (highland barley,

wheat, potatoes, etc.) ○ ○ ○ ○ ○

Aquaculture (Tibetan cattle,

Tibetan sheep) ○ ○ ○ ○ ○

Property insurance

(agricultural herdsmen own

housing, agricultural motor

vehicles)

○ ○ ○ ○ ○

Facilities agriculture

(greenhouse vegetables,

greenhouse frames)

○ ○ ○ ○ ○

38. As far as you know, does your household have purchased the following insurance?

(Choose one or more) [Multiple responses] *

□Planting (highland barley, wheat, potatoes, etc.)

□Aquaculture (Tibetan cattle, Tibetan sheep)

□Property insurance (agricultural herdsmen own housing, agricultural motor vehicles)

□Facilities agriculture (greenhouse vegetables, greenhouse frames)

□None

39. Have you or your household ever been indemnified for some kind of event? [Multiple

Choice] *

○No

○Yes

40. Please providethe latest indemnity year. [Multiple Choice] *

○2017

○2016

○2015

○2014

○2013

○2012

○2011

○2010

41. Cause of payment (Choose one or more) [Multiple responses] *

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□Planting (highland barley, wheat, potatoes, etc.)

□Aquaculture (Tibetan cattle, Tibetan sheep)

□Property insurance (agricultural herdsmen own housing, agricultural motor vehicles)

□Facilities agriculture (greenhouse vegetables, greenhouse frames)

42. What is the total compensation of planting insurance (yuan)? [Matrix Text Questions] *

Planting (highland

barley, wheat,

potatoes, etc.)

________________________

43. What is the total compensation of aquaculture insurance (yuan)? [Matrix Text

Questions] *

Aquaculture

(Tibetan cattle,

Tibetan sheep)

________________________

44. What is the total compensation of property insurance (yuan)? [Matrix Text Questions] *

Property insurance

(agricultural

herdsmen own

housing, agricultural

motor vehicles)

________________________

45. What is the total compensation of facilities agriculture insurance (yuan)? [Matrix Text

Questions] *

Facilities agriculture

(greenhouse

vegetables,

greenhouse frames)

________________________

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In response to the loss of cattle and sheep caused by local snow disasters, we want to

design a new type of insurance products. Here is the following several questions that we

would like to know.

46. What do you think is the most important factor affecting the death of livestock when

the snow disaster occurs? [Multiple Choice] *

○The duration of the snow

○The depth of the snow

○Temperature

○Wind speed

□Other _________________

Please fill other reasons to specify.

47. Do you pay attention to meteorological information of National Meteorological

Department (such as weather forecast)? [Multiple Choice] *

○No, I do not.

○Yes, I do.

48. Do you prepare for disaster after receiving information from the state and government?

[Multiple Choice] *

○Yes, I do.

○No, I do not. _________________

The reason is

49. What do you think of the accuracy of the followingweather information provided by the

National Meteorological Department? [Matrix Multiple Choice] *

Very

inaccurate Inaccurate Average Accurate Very accurate

Temperature ○ ○ ○ ○ ○

Precipitation ○ ○ ○ ○ ○

Wind Speed ○ ○ ○ ○ ○

50. Do you think it would be possible if we use meteorological data from the National

Meteorological Department to predict the number of deaths in your household? [Multiple

Choice] *

○No

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○Yes

51. If applicable, please rate the feasibility of this method (1->5 increased degree of

feasibility) [Multiple Choice] *

Very

unlikely ○1 ○2 ○3 ○4 ○5 Very likely

52. Do you know anything aboutindex insurance products? [Multiple Choice] *

○No, I do not.

○Yes, I do.

The current insurance product is to be compensated by the actual investigation and

damage of the insurance personnel. We intend to design a new insurance product, using

meteorological data issued by the Meteorological Bureau to predict the actual disaster

losses, and not to do a field survey of the damage. Its advantage is to simplify the

insurance investigation and the loss of the process to lower the premium, while the

disadvantage is that depending on the data published by the Meteorological section may

cause deviations from the actual loss.

53. If this insurance product is provided, would you like to buy this product to prevent the

snow disaster loss in winter? [Multiple Choice] *

○Yes, I do.

○No, I do not. _________________

Please specify your reasons.

54. How much would you like to pay for this insurance product (yuan)?

Every unit of cattle_______ yuan Every unit of sheep _______yuan[Fill in the Blanks]*

The QR code for online-questionnaire:

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Appendix 3 Information about the reviewing conference in Lhasa

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“The Snow Disaster Weather Index Insurance product design scheme of animal

husbandry in Naqu, Tibet”

Reviewer comments and response

“The Snow Disaster Weather Index Insurance product design scheme of animal husbandry

in Naqu, Tibet” held an expert consultation, on the design of related programs to consult the

relevant comments on August 17, 2017 at the Lhasa Tibet Hotel. The questions and

recommendations raised by the consultants at the conference are as follows:

Chen, Manjiang (Deputy director of the Office of Finance of the government of the

autonomous region):

Questions/comments:

1) In the snow disaster index insurance’s basic guarantee payment shceme, one of the

triggering conditions is: snow covered grassland area is more than 60%. Is it

realistic? In the report, the Meteorological Office provided the area ratio is 30% as

the difference is one-fold.

2) Is there any official basis for the number of days for indemnity in the snow disaster

index insurance?

3) The indemnity for each sheep unit is measured by 2 yuan/day. Is it consistent with

local government standards?

4) If the insurance product is promoted in Naqu, can the premium be included in the

country’s subsidy range?

Suggestions:

� Index insurance is based on pre-set parameters to trigger, so the setting of trigger

parameters is the core of insurance products, as the triggering conditions must

reflect the objective law of local agricultural insurance, scientific and reasonable

combination to realize the reduction of the government burden, the decrease of the

loss of farmers, and the profit of insurance companies.

� The index insurance is determined by the same index, facing a big base difference

risk. In the actual promotion, the local government may face the contradiction

caused by the base difference risk, so we should strengthen the popularization and

guide work of relevant knowledge.

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� Local governments and herdsmen have limited knowledge of index insurance, so

the relationship between the new insurance product and the existing insurance

product should be handled properly.

Shu, Hua (Director of the Property Insurance Supervision Office of the Provincial

Bureau of Security Supervision):

Questions/comments:

5) When the triggering condition of the snow disaster compensation is snow-covered

grassland area more than 60%, the compensation is 2 yuan/sheep unit every day.

When the recommended area ratio is less than 60%, such as 40% or 50%, the

compensation is paid proportionally.

6) The duration of the drought and snow disaster insurance coincidein May. Whether a

region in May will occur in the case of snow disaster and drought disaster? Is the

probability of occurrence big?

Xi, Qiong (Director of Disaster Response Command Office, Agriculture and Animal

Husbandry Department, Autonomous Region):

Questions/comments:

7) 24 consecutive hours of snow is called a snow disaster, which generally occurs in

November to March the next year. At the end of March, in April and May, due to

the rise of temperature, it will not cause a snow disaster. It is suggested that the

insurance period of snow disaster in the report be changed to November to March of

the following year.

Suggestions:

� In recent years, disasters have reduced, as the annual disaster statistics of the crop

disaster area is less than 150,000 mu, livestock died less than 150,000, of which 70%

were calves. At present, large animals have insurance, while cubs, boars, piglets,

and Tibetan pigs have no insurance.

� Increase the publicity of index insurance.

� The policy type insurance of planting is limited to highland barley, wheat, corn, rice

food crops, rapeseed, potato, greenhouse vegetables. Aquaculture insurance is

limited to yak, ox, sheep, goat, sow.

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Yang, Bin (Director of the Tibet Meteorological Administration, Public Meteorology

Service Center)

Questions/comments:

8) Because of the risk of base difference of index insurance, can the compensation of

the East and West region be differentiated?

9) Increase the ground observation data in sensitiveareas (more disaster-prone regions).

Fu, Mingxing (Director of Naqu Agriculture and Animal Husbandry Bureau)

Questions/comments:

10) If it is cloudy for a week or half a month, it is difficult for the satellite to discern the

snow cover. What to do then?

11) One of the triggering conditions for snow disaster is: 5 days≤ the duration ≤15 days.

Because Naqu county is relatively cold, can it be changed to 3 days ≤the duration

≤15 days?

12) The cost of daily feeding is too low. At present, in accordance with each sheep unit

4 jin/day for feeding, the market price of fodder is 1.4 yuan/jin, so the cost should

be 5 to 6 yuan/day.

Zha, Yu (Chief of Agriculture, Naqu Finance Bureau)

Questions/comments:

13) The proportion of premiums should be solicited by the government and herdsmen.

Bian Ba Ci Ren (Party member/Dicipline Team leader, County Meteorological Bureau)

14) The remote sensing data may be erroneous. It is recommended that some key areas

be supplemented by manual monitoring.

15) The Meteorological Bureau has no rural border data, only county-level border day.

Can the research group of the Normal University provide relevant township

boundary data?

Lang Jie, Yu Zhen (Director of Finance Department of the Autonomous Region)

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Questions/comments:

16) It is suggested thatthe index insurance adopt the ppp (public-private property) mode,

as the government and the insurance company jointly protect the mode, the pure

business model will have a lot of problems when it carries out.

17) The Inner Mongolia Autonomous Region has launched a pilot work on the relevant

index products. What is the payment rate in the past few years?

De Qing, Zhuo Ga (Chief Meteorological Service of the Regional Meteorological

Bureau Service Center)

Questions/comments:

18) From the meteorological point of view, the triggering conditions of snow disaster,

the ≥60% of the area of snow-covered grassland is too high. Because pasture grass

is low, once it snows, the pasture will be covered. It is recommended that the

number of days to be lowered changed to 3-5 days.

The project team studied and modified the technical details of the snow disaster index

insurance product scheme on the basis of careful understanding of experts’ questions,

opinions and suggestions. The main points of modification are as follow:

1. Questions/Comments on the triggering conditions of the snow disaster index insurance

products: discussion on the area ratio of snow-covered grassland and the duration of

snow disaster

As suggested by the reviewers, further analyses were carried out on the trigger conditions

of snow disaster. The triggering duration is changed to ≥ 3 days; and the cover area of snow

ratio is separately considered as in ≥ 30% and 40%. After careful calculation, it is found that

the threshold of 30% may be too low, leading to high probability of triggering and indemnity

eastern counties. After carefully considering the trade-offs, we set the trigger in duration as

≥ 3 days and snow-covered ratio as ≥ 40% as the final plan snow disaster index insurance’s

triggering conditions.

2. Questions/Comments discussion on the unit indemnity per sheep unit and the market

price of fodder material

Original daily average indemnity of 2 yuan/sheep was the result of communication with

local governments in the July 2016 survey, but this level refers to the level of supplementary

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feeding under the condition of maintaining basic vital signs. If we want to reach the half full

above the supplementary feeding level, it is really necessary to achieve the 5 yuan/sheep

expenditure level. Therefore, in the revised version, the local daily supplementary feeding

cost is changed to 2 to 5 yuan/sheep. The example of calculation uses 2 yuan/sheep every

day and 5 yuan/sheep every day to calculate the size of the premium revenue and premium

subsidy expenditure. As the level of the unit insured will have a greater impact on the final

premium revenue, it is suggested that the final results should be decided on the basis of the

affordability of local herdsmen and the amount of financial subsidy by the government of the

autonomous region.

3. Questions/Comments discussion on basis risk and data accuracy

There are obvious differences in the east and west parts of Naqu county, and the revised

report fully agrees with the expert’s recommendation to make differential payments by

township, or at least the counties to determine premium rates.

Using MODIS products to observe a snow cover can indeed be affected by clouds. This

problem can be modified by a certain data processing algorithm. For example, the snow

dataset (http://westdc.westgis.ac.cn/data/94a8858b-3ace-488d-9233-75c021a964f0) of the

Qinghai-Tibet Plateau area prepared by the Environmental and Engineering Research

Institute of the cold zone in the Chinese Academy of Science. It uses a third-order-spline

interpolation method to interpolate the cloud-contaminated data. Such kind of algorithms can

be included in the operational system supporting the index insurance products being

constructed by the Regional Meteorological Administration.

With regard to the use of township boundaries, the township boundaries used in this report

are non-national standards, which can only be used as scientific research and examples. In

the process of building a business operational system, it is suggested to coordinate with the

autonomous region government. The administrative boundary map of the county with legal

effect should be issued by the SMC or Civil Affairs Bureau of Autonomous Region to

support the calculation of snow index.

4. Questions/Comments on premium subsidy and PPP model

As to the proportion of subsidy, the government and the insurance company liaison are not

the technical problems of the insurance product. On the basis of the revised report, it is

suggested that the rate of measurement and the size of premium are discussed separately by

relevant departments of the autonomous region.

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5. Questions/Comments on the indemnity rate of similar products in Inner Mongolia

Autonomous Region

Inner Mongolia Autonomous Region runs a short time on the snow disaster insurance

index of sheep. In 2015, Wulagai district of Dongwuzhumuqin Qi in Xilinguole Meng,

carried out a pilot program the insurance. Wulagai Pasture and Hesigewula Pasture’s

premiums each had a premium revenue of 1 million, and the total of 2.4 million yuan has

been paid for the snowstorm. In 2016, Abaga Qi in Xilinguole Meng was paid 1.0995

million yuan due to the snow disaster. Due to only two years of data, it is not enough to

make a general consideration of the indemnity.