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Crop Insurance as a Risk Management Strategy in Bangladesh

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Historical<br />

monthly values<br />

Mean Standard deviation<br />

Coefficient<br />

of variation<br />

Future Monthly<br />

Climatic attributes<br />

(12 Months)<br />

1 st<br />

set<br />

n th<br />

set<br />

Future Standard<br />

deviation<br />

GCM Monthly<br />

values<br />

Probability distribution<br />

( Lognormal)<br />

System model for<br />

Flood/Drought/Cyclone<br />

System model for<br />

Flood/Drought/Cyclone<br />

Figure 5.11: A conceptual model for risk analysis by generation of synthetic future climatic<br />

attributes under chang<strong>in</strong>g climatic condition<br />

Where, X is a score from the orig<strong>in</strong>al normal distribution, µ is the mean of the orig<strong>in</strong>al<br />

normal distribution, and σ is the standard deviation of orig<strong>in</strong>al normal distribution. The<br />

standard normal distribution is sometimes called the z distribution. If the value of µ and σ is<br />

known, for a set of random number generated the Z values can be estimated for the normal<br />

probability plot. Figures 5.12 (a) and (b) show an example of generat<strong>in</strong>g 100 sets of monthly<br />

precipitation values for future scenarios of doubl<strong>in</strong>g CO2 level, b<strong>as</strong>ed on GCM predicted<br />

change <strong>in</strong> precipitation amount.<br />

ppt./ cm<br />

70<br />

60<br />

50<br />

40<br />

30<br />

20<br />

10<br />

0<br />

0 2 4 6 8 10 12<br />

month<br />

75<br />

total ppt./mm<br />

2500<br />

2000<br />

1500<br />

1000<br />

500<br />

O(1)<br />

O(n)<br />

<strong>Risk</strong> of<br />

Flood/Drought/<br />

Cyclone<br />

<strong>Risk</strong> of<br />

Flood/Drought/<br />

Cyclone<br />

yearly total ppt.<br />

0<br />

0 20 40 60 80 100<br />

year/data set<br />

ppt. generated<br />

historical ppt. obsv.<br />

Figure 5.12: (a) Generation of synthetic monthly data set for the Monte Carlo Simulation, and<br />

(b) Yearly total amount of the historical observed and generated synthetic precipitation data

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