Entomology Kit Climate Data Analysis Tutorial Vandalia Science Education Updated November 2011 Degree-Hour Determination A degree-hour is a unit of measure for charting insect growth. It is just an expression for the amount of time spent at a specific temperature. For example, flies that are incubated at 90 degrees for one hour will have the same level of development as those that are kept at 45 degrees for two hours. 90 degrees * 1 hour = 90 degree-hours 45 degrees * 2 hours = 90 degree-hours 30 degrees * 3 hours = 90 degree-hours Degree-Hour Determination Knowns • Bodies discovered at 1:00PM on June 20 • Insects collected at 3:00PM on June 20 • Weather type (sunny, partly cloudy, overcast) • Weather events (rain, thunderstorms, snow) • Daily average temperature • Male and Female had the same species and lifecycles present (Migrating 3rd Instar Species A, 2nd Instar Species B) Unknowns • Elapsed degree-hours for each day • Degree-hours for each life stage of both species • Cumulative degree-hours for each life stage of both species • Cumulative elapsed degree hours for each day • Which day the adult insect from both species laid its eggs • Earliest and latest time the insects began developing Elapsed degree-hours for each day Lab Procedure 2, Step 2: Determine the number of degree hours for each day using the weather service data. To do this, multiply the average temperature times 24 hours for each day. This can be performed in a spreadsheet. • Every daily average temperature in the month will be multiplied by 24 except June 20. • The collection time was 3:00PM on June 20, this tells us to multiply the average temperature on this day by 15 hours (12:00AM through 3:00PM = 15hrs) instead of 24 hours Elapsed degree-hours for each day DAY MAX MIN AVG DEPAR- DEPAR- HEATING COOLING TOTAL SNOW- SNOW, ICE AVG AVG SKY WEATHER TURE TURE WATER FALL, PELLETS SPEED SPEED COVER OCCURENCES FROM FROM EQUIV ICE OR ICE ON (MPH) (KPH) SUNRISENORMAL NORMAL PELLETS GROUND SUNSET PEAK degree WIND hours (KPH) S 18.7 1 18.3 10.6 16.1 -1.9 -1.0 2.2 0.0 0.00 0 0 6.3 10.08 6 0 2 19.4 12.8 15.0 -3.0 -1.7 3.3 0.0 0.09 0 0 13.8 22.08 6 0 386.666667 SE 26.2 360 SW 33.3 3 17.2 9.4 12.8 -5.2 -2.9 5.6 0.0 0.19 0 0 17.2 27.52 8 5 4 20.0 10.6 13.3 -4.7 -2.6 5.0 0.0 0.28 0 0 12.3 19.68 9 1 306.666667 W 38.6 320 W 28.3 5 21.1 12.8 19.4 1.4 0.8 0.0 1.1 0.00 0 0 11.1 17.76 7 1,2 6 25.6 16.7 20.6 2.6 1.4 0.0 2.2 0.00 0 0 8.1 12.96 6 0 466.666667 SW 24.3 493.333333 S 16.7 7 23.9 15.2 19.4 1.4 0.8 0.0 1.1 0.07 0 0 6.3 10.08 8 0 8 20.6 12.8 16.1 -1.9 -1.0 0.0 0.0 0.11 0 0 13.2 21.12 8 0 466.666667 S 27.9 386.666667 SE 10.3 9 22.1 13.9 18.9 0.9 0.5 0.0 0.6 0.00 0 0 -1.9 -1.0 0.0 0.0 0.00 0 0 4.2 6.72 3 0 6 0 453.333333 S 22.7 10 25.0 12.6 16.1 8.88 14.208 386.666667 S 32.4 11 22.1 8.9 15.3 -2.7 -1.5 0.0 0.0 0.67 0 0 19.6 31.36 6 3,5 12 14.5 9.4 10.5 -7.5 -4.2 0.0 0.0 1.13 T 0 23.5 37.6 8 1,3,5 367.2 SW 43.8 252 S 29.8 13 16.7 7.2 12.1 -5.9 -3.3 0.0 0.0 0.23 0 0 14.2 22.72 7 1,2 14 19.3 9.3 15.0 -3.0 -1.7 0.0 0.0 0.02 0 0 10.5 16.8 8 1 290.4 S 24.5 360 SW 15 16.5 8.9 12.8 -5.2 -2.9 0.0 0.0 T 0 0 11.9 19.04 4 0 16 18.9 10.7 13.3 -4.7 -2.6 0.0 0.0 0.00 0 0 6.4 10.24 3 0 23 306.666667 W 19.2 320 S 27.2 17 16.8 9.5 12.9 -5.1 -2.8 0.0 0.0 0.00 0 0 9.5 15.2 3 0 18 19.4 10.7 16.4 -1.6 -0.9 0.0 0.0 0.00 0 0 11.1 17.76 2 0 19 19.1 10.9 15.9 -2.1 -1.2 0.0 2.8 0.00 0 0 4.6 7.36 1 0 309.6 W 26.3 393.6 SW 17.8 381.6 W 23.1 20 22.0 12.8 18.4 0.4 0.2 0.0 5.0 0.00 0 0 7.4 11.84 1 0 276 Elapsed degree-hours for each day DAY MAX MIN AVG DEPAR- DEPAR- HEATING COOLING TOTAL SNOW- SNOW, ICE AVG AVG SKY WEATHER TURE TURE WATER FALL, PELLETS SPEED SPEED COVER OCCURENCES FROM FROM EQUIV ICE OR ICE ON (MPH) (KPH) SUNRISENORMAL NORMAL PELLETS GROUND SUNSET PEAK degree WIND hours (KPH) S 18.7 1 18.3 10.6 16.1 -1.9 -1.0 2.2 0.0 0.00 0 0 6.3 10.08 6 0 2 19.4 12.8 15.0 -3.0 -1.7 3.3 0.0 0.09 0 0 13.8 22.08 6 0 386.666667 SE 26.2 360 SW 33.3 3 17.2 9.4 12.8 -5.2 -2.9 5.6 0.0 0.19 0 0 17.2 27.52 8 5 4 20.0 10.6 13.3 -4.7 -2.6 5.0 0.0 0.28 0 0 12.3 19.68 9 1 306.666667 W 38.6 320 W 28.3 5 21.1 12.8 19.4 1.4 0.8 0.0 1.1 0.00 0 0 11.1 17.76 7 1,2 6 25.6 16.7 20.6 2.6 1.4 0.0 2.2 0.00 0 0 8.1 12.96 6 0 466.666667 SW 24.3 493.333333 S 16.7 7 23.9 15.2 19.4 1.4 0.8 0.0 1.1 0.07 0 0 6.3 10.08 8 0 8 20.6 12.8 16.1 -1.9 -1.0 0.0 0.0 0.11 0 0 13.2 21.12 8 0 466.666667 S 27.9 386.666667 SE 10.3 9 22.1 13.9 18.9 0.9 0.5 0.0 0.6 0.00 0 0 -1.9 -1.0 0.0 0.0 0.00 0 0 4.2 6.72 3 0 6 0 453.333333 S 22.7 10 25.0 12.6 16.1 8.88 14.208 386.666667 S 32.4 11 22.1 8.9 15.3 -2.7 -1.5 0.0 0.0 0.67 0 0 19.6 31.36 6 3,5 12 14.5 9.4 10.5 -7.5 -4.2 0.0 0.0 1.13 T 0 23.5 37.6 8 1,3,5 367.2 SW 43.8 252 S 29.8 13 16.7 7.2 12.1 -5.9 -3.3 0.0 0.0 0.23 0 0 14.2 22.72 7 1,2 14 19.3 9.3 15.0 -3.0 -1.7 0.0 0.0 0.02 0 0 10.5 16.8 8 1 290.4 S 24.5 360 SW 15 16.5 8.9 12.8 -5.2 -2.9 0.0 0.0 T 0 0 11.9 19.04 4 0 16 18.9 10.7 13.3 -4.7 -2.6 0.0 0.0 0.00 0 0 6.4 10.24 3 0 23 306.666667 W 19.2 320 S 27.2 17 16.8 9.5 12.9 -5.1 -2.8 0.0 0.0 0.00 0 0 9.5 15.2 3 0 18 19.4 10.7 16.4 -1.6 -0.9 0.0 0.0 0.00 0 0 11.1 17.76 2 0 19 19.1 10.9 15.9 -2.1 -1.2 0.0 2.8 0.00 0 0 4.6 7.36 1 0 309.6 W 26.3 393.6 SW 17.8 381.6 W 23.1 20 22.0 12.8 18.4 0.4 0.2 0.0 5.0 0.00 0 0 7.4 11.84 1 0 276 On June 20 we multiply the average temperature by 15 hours to get degree-hours for that day Elapsed degree-hours for each day DAY MAX MIN AVG DEPAR- DEPAR- HEATING COOLING TOTAL SNOW- SNOW, ICE AVG AVG SKY WEATHER TURE TURE WATER FALL, PELLETS SPEED SPEED COVER OCCURENCES FROM FROM EQUIV ICE OR ICE ON (MPH) (KPH) SUNRISENORMAL NORMAL PELLETS GROUND SUNSET PEAK degree WIND hours (KPH) S 18.7 1 18.3 10.6 16.1 -1.9 -1.0 2.2 0.0 0.00 0 0 6.3 10.08 6 0 2 19.4 12.8 15.0 -3.0 -1.7 3.3 0.0 0.09 0 0 13.8 22.08 6 0 386.666667 SE 26.2 360 SW 33.3 3 17.2 9.4 12.8 -5.2 -2.9 5.6 0.0 0.19 0 0 17.2 27.52 8 5 4 20.0 10.6 13.3 -4.7 -2.6 5.0 0.0 0.28 0 0 12.3 19.68 9 1 306.666667 W 38.6 320 W 28.3 5 21.1 12.8 19.4 1.4 0.8 0.0 1.1 0.00 0 0 11.1 17.76 7 1,2 6 25.6 16.7 20.6 2.6 1.4 0.0 2.2 0.00 0 0 8.1 12.96 6 0 466.666667 SW 24.3 493.333333 S 16.7 7 23.9 15.2 19.4 1.4 0.8 0.0 1.1 0.07 0 0 6.3 10.08 8 0 8 20.6 12.8 16.1 -1.9 -1.0 0.0 0.0 0.11 0 0 13.2 21.12 8 0 466.666667 S 27.9 386.666667 SE 10.3 9 22.1 13.9 18.9 0.9 0.5 0.0 0.6 0.00 0 0 -1.9 -1.0 0.0 0.0 0.00 0 0 4.2 6.72 3 0 6 0 453.333333 S 22.7 10 25.0 12.6 16.1 8.88 14.208 386.666667 S 32.4 11 22.1 8.9 15.3 -2.7 -1.5 0.0 0.0 0.67 0 0 19.6 31.36 6 3,5 12 14.5 9.4 10.5 -7.5 -4.2 0.0 0.0 1.13 T 0 23.5 37.6 8 1,3,5 367.2 SW 43.8 252 S 29.8 13 16.7 7.2 12.1 -5.9 -3.3 0.0 0.0 0.23 0 0 14.2 22.72 7 1,2 14 19.3 9.3 15.0 -3.0 -1.7 0.0 0.0 0.02 0 0 10.5 16.8 8 1 290.4 S 24.5 360 SW 15 16.5 8.9 12.8 -5.2 -2.9 0.0 0.0 T 0 0 11.9 19.04 4 0 16 18.9 10.7 13.3 -4.7 -2.6 0.0 0.0 0.00 0 0 6.4 10.24 3 0 23 306.666667 W 19.2 320 S 27.2 17 16.8 9.5 12.9 -5.1 -2.8 0.0 0.0 0.00 0 0 9.5 15.2 3 0 18 19.4 10.7 16.4 -1.6 -0.9 0.0 0.0 0.00 0 0 11.1 17.76 2 0 19 19.1 10.9 15.9 -2.1 -1.2 0.0 2.8 0.00 0 0 4.6 7.36 1 0 309.6 W 26.3 393.6 SW 17.8 381.6 W 23.1 20 22.0 12.8 18.4 0.4 0.2 0.0 5.0 0.00 0 0 7.4 11.84 1 0 276 For every other day, we multiply the average temperature by 24 hours to get degree-hours for that day Degree-Hour Determination Knowns • Bodies discovered at 1:00PM on June 20 • Insects collected at 3:00PM on June 20 • Weather type (sunny, partly cloudy, overcast) • Weather events (rain, thunderstorms, snow) • Daily average temperature • Male and Female had the same species and lifecycles present (Migrating 3rd Instar Species A, 2nd Instar Species B) Unknowns • Elapsed degree-hours for each day • Degree-hours for each life stage of both species • Cumulative degree-hours for each life stage of both species • Cumulative elapsed degree hours for each day • Which day the adult insect from both species laid its eggs • Earliest and latest time the insects began developing Degree-hours for each life stage: Species A Lab Procedure 2, Step 3: Determine the number of degree-hours required for each life stage of both species. To do this, multiply the number of hours by the degrees Celsius given in the life cycle table. Temp °C Egg 1st Instar 2nd Instar Feeding 3rd Instar Migrating 3rd Instar Pupa 21 21 hrs 31 hrs 26 hrs 50 hrs 118 hrs 240 hrs 21 hrs *21˚C = 441 deg-hrs 31*21 = 651 26*21 = 546 50*21 = 1050 118*21 = 2478 240*21 = 5040 Degree-hours for each life stage: Species B Lab Procedure 2, Step 3: Determine the number of degree hours required for each life stage of both species. To do this, multiply the number of hours by the degrees Celsius given in the table. Temp °C Egg 1st Instar 2nd Instar Feeding 3rd Instar Migrating 3rd Instar Pupa 21 25 hrs 37 hrs 31 hrs 60 hrs 124 hrs 286 hrs 25*21 = 525 37*21 = 777 31*21 = 651 60*21 = 1260 124*21 = 2604 286*21 = 6006 Degree-Hour Determination Knowns • Bodies discovered at 1:00PM on June 20 • Insects collected at 3:00PM on June 20 • Weather type (sunny, partly cloudy, overcast) • Weather events (rain, thunderstorms, snow) • Daily average temperature • Male and Female had the same species and lifecycles present (Migrating 3rd Instar Species A, 2nd Instar Species B) Unknowns • Elapsed degree-hours for each day • Degree-hours for each life stage of both species • Cumulative degree-hours for each life stage of both species • Cumulative elapsed degree hours for each day • Which day the adult insect from both species laid its eggs • Earliest and latest time the insects began developing Cumulative degree-hours for each life stage: Species A Lab Procedure 2, Step 4: By adding all the degree hours for each of the six life stages together, you calculate the cumulative degree hours required for an adult fly to develop at 21°C. Temp °C Egg 1st Instar 2nd Instar Feeding 3rd Instar Migrating 3rd Instar Pupa 21 21 31 26 50 118 240 Deg Hrs 441 651 546 1050 2478 5040 Cum. Deg Hrs 441 Cumulative degree-hours for each life stage: Species A Lab Procedure 2, Step 4: By adding all the degree hours for each of the six life stages together, you calculate the cumulative degree hours required for an adult fly to develop at 21°C. Temp °C Egg 1st Instar 2nd Instar Feeding 3rd Instar Migrating 3rd Instar Pupa 21 21 31 26 50 118 240 Deg Hrs 441 651 546 1050 2478 5040 Cum. Deg Hrs 441 651+441 = 1092 Cumulative degree-hours for each life stage: Species A Lab Procedure 2, Step 4: By adding all the degree hours for each of the six life stages together, you calculate the cumulative degree hours required for an adult fly to develop at 21°C. Temp °C Egg 1st Instar 2nd Instar Feeding 3rd Instar Migrating 3rd Instar Pupa 21 21 31 26 50 118 240 Deg Hrs 441 651 546 1050 2478 5040 Cum. Deg Hrs 441 651+441 = 1092 546+1092 = 1638 Cumulative degree-hours for each life stage: Species A Lab Procedure 2, Step 4: By adding all the degree hours for each of the six life stages together, you calculate the cumulative degree hours required for an adult fly to develop at 21°C. Temp °C Egg 1st Instar 2nd Instar Feeding 3rd Instar Migrating 3rd Instar Pupa 21 21 31 26 50 118 240 Deg Hrs 441 651 546 1050 2478 5040 Cum. Deg Hrs 441 651+441 = 1092 546+1092 1050+1638 = 1638 = 2688 Cumulative degree-hours for each life stage: Species A Lab Procedure 2, Step 4: By adding all the degree hours for each of the six life stages together, you calculate the cumulative degree hours required for an adult fly to develop at 21°C. Temp °C Egg 1st Instar 2nd Instar Feeding 3rd Instar Migrating 3rd Instar Pupa 21 21 31 26 50 118 240 Deg Hrs 441 651 546 1050 2478 5040 Cum. Deg Hrs 441 651+441 = 1092 546+1092 1050+1638 = 1638 = 2688 2478+2688 =5166 Cumulative degree-hours for each life stage: Species A Lab Procedure 2, Step 4: By adding all the degree hours for each of the six life stages together, you calculate the cumulative degree hours required for an adult fly to develop at 21°C. Temp °C Egg 1st Instar 2nd Instar Feeding 3rd Instar Migrating 3rd Instar Pupa 21 21 31 26 50 118 240 Deg Hrs 441 651 546 1050 2478 5040 Cum. Deg Hrs 441 651+441 = 1092 546+1092 1050+1638 = 1638 = 2688 2478+2688 =5166 5040+5166 =10206 Cumulative degree-hours for each life stage: Species A Lab Procedure 2, Step 4: By adding all the degree hours for each of the six life stages together, you calculate the cumulative degree hours required for an adult fly to develop at 21°C. Temp °C Egg 1st Instar 2nd Instar Feeding 3rd Instar Migrating 3rd Instar Pupa 21 21 31 26 50 118 240 Deg Hrs 441 651 546 1050 2478 5040 Cum. Deg Hrs 441 651+441 = 1092 546+1092 1050+1638 = 1638 = 2688 2478+2688 =5166 5040+5166 =10206 Adult degree-hours = ∑ degree hours at each stage = cumulative degree hours = 10206 Now we will repeat the Cumulative degreehours calculation for Species B Cumulative degree-hours for each life stage: Species B Lab Procedure 2, Step 4: By adding all the degree hours for each of the six life stages together, you calculate the cumulative degree hours required for an adult fly to develop at 21°C. Temp °C Egg 1st Instar 2nd Instar Feeding 3rd Instar Migrating 3rd Instar Pupa 21 25 37 31 60 124 286 Deg Hrs 525 777 651 1260 2604 6006 Cum. Deg Hrs 525 777+525 = 1302 651+1302 1260+1953 = 1953 = 3213 2604+3213 = 5817 6006+5817 = 11823 Adult degree-hours = ∑ degree hours at each stage = cumulative degree hours = 11823 Degree-Hour Determination Knowns • Bodies discovered at 1:00PM on June 20 • Insects collected at 3:00PM on June 20 • Weather type (sunny, partly cloudy, overcast) • Weather events (rain, thunderstorms, snow) • Daily average temperature • Male and Female had the same species and lifecycles present (Migrating 3rd Instar Species A, 2nd Instar Species B) Unknowns • Elapsed degree-hours for each day • Degree-hours for each life stage of both species • Cumulative degree-hours for each life stage of both species • Cumulative elapsed degree hours for each day • Which day the adult insect from both species laid its eggs • Earliest and latest time the insects began developing Cumulative degree-hours for each day Lab Procedure 2, Step 5: Calculate elapsed degree hours for each of the days in the climatological data provided. To do this, add the degree hours for each day to the one before it starting at the 20th of the month. DAY MAX 1 MIN AVG DEPAR- DEPAR- HEATING COOLING TOTAL SNOW- SNOW, ICE AVG AVG SKY WEATHER PEAK degree TURE TURE WATER FALL, PELLETS SPEED SPEED COVER OCCURENCES WIND hours FROM FROM EQUIV ICE OR ICE ON (MPH) (KPH) SUNRISE(KPH) NORMAL NORMAL PELLETS GROUND SUNSET 18.3 10.6 16.1 -1.9 -1.0 2.2 0.0 0.00 0 0 6.3 10.08 6 0 cumulative degree hours S 18.7 386.66666 7 SE 26.2 2 19.4 12.8 15.0 -3.0 -1.7 3.3 0.0 0.09 0 0 13.8 22.08 6 0 3 4 17.2 9.4 12.8 20.0 10.6 13.3 -5.2 -4.7 -2.9 -2.6 5.6 5.0 0.0 0.0 0.19 0.28 0 0 0 0 17.2 27.52 12.3 19.68 8 9 5 1 5 21.1 12.8 19.4 1.4 0.8 0.0 1.1 0.00 0 0 11.1 17.76 7 1,2 6 25.6 16.7 20.6 2.6 1.4 0.0 2.2 0.00 0 0 7 23.9 15.2 19.4 1.4 0.8 0.0 1.1 0.07 0 0 8 20.6 12.8 16.1 -1.9 -1.0 0.0 0.0 0.11 0 0 9 22.1 13.9 18.9 0.9 0.5 0.0 0.6 0.00 0 0 10 25.0 12.6 16.1 -1.9 -1.0 0.0 0.0 0.00 0 0 11 22.1 8.9 15.3 -2.7 -1.5 0.0 0.0 0.67 0 12 14.5 9.4 10.5 -7.5 -4.2 0.0 0.0 1.13 13 16.7 7.2 12.1 -5.9 -3.3 0.0 0.0 14 19.3 9.3 15.0 -3.0 -1.7 0.0 15 16 17 18 12.8 13.3 12.9 16.4 -5.2 -4.7 -5.1 -1.6 -2.9 -2.6 -2.8 -0.9 19 19.1 10.9 15.9 20 22.0 12.8 18.4 -2.1 0.4 -1.2 0.2 16.5 18.9 16.8 19.4 8.9 10.7 9.5 10.7 8.1 12.96 6 0 6.3 10.08 8 0 13.2 21.12 8 0 3 0 8.88 14.208 6 0 0 19.6 31.36 6 3,5 T 0 23.5 8 1,3,5 0.23 0 0 14.2 22.72 7 1,2 0.0 0.02 0 0 10.5 8 1 0.0 0.0 0.0 0.0 0.0 0.0 0.0 0.0 T 0.00 0.00 0.00 0 0 0 0 0 0 0 0 11.9 19.04 6.4 10.24 9.5 15.2 11.1 17.76 4 3 3 2 0 0 0 0 0.0 0.0 2.8 5.0 0.00 0.00 0 0 0 0 1 1 0 0 4.2 4.6 7.4 6.72 37.6 16.8 7.36 11.84 360 SW 33.3 306.66666 7 W 38.6 320 W 28.3 466.66666 7 SW 24.3 493.33333 3 S 16.7 466.66666 7 S 27.9 386.66666 7 SE 10.3 453.33333 3 S 22.7 386.66666 7 S 32.4 367.2 SW 43.8 252 S 29.8 290.4 S 24.5 360 SW 23 306.66666 7 W 19.2 320 S 27.2 309.6 W 26.3 393.6 SW 17.8 381.6 W 23.1 276 381.6 + 276 =657.6 657.6 276 Cumulative degree-hours for each day Lab Procedure 2, Step 5: Calculate elapsed degree hours for each of the days in the climatological data provided. To do this, add the degree hours for each day to the one before it starting at the 20th of the month. DAY MAX 1 MIN AVG DEPAR- DEPAR- HEATING COOLING TOTAL SNOW- SNOW, ICE AVG AVG SKY WEATHER PEAK degree TURE TURE WATER FALL, PELLETS SPEED SPEED COVER OCCURENCES WIND hours FROM FROM EQUIV ICE OR ICE ON (MPH) (KPH) SUNRISE(KPH) NORMAL NORMAL PELLETS GROUND SUNSET 18.3 10.6 16.1 -1.9 -1.0 2.2 0.0 0.00 0 0 6.3 10.08 6 0 cumulative degree hours S 18.7 386.66666 7 SE 26.2 2 19.4 12.8 15.0 -3.0 -1.7 3.3 0.0 0.09 0 0 13.8 22.08 6 0 3 4 17.2 9.4 12.8 20.0 10.6 13.3 -5.2 -4.7 -2.9 -2.6 5.6 5.0 0.0 0.0 0.19 0.28 0 0 0 0 17.2 27.52 12.3 19.68 8 9 5 1 5 21.1 12.8 19.4 1.4 0.8 0.0 1.1 0.00 0 0 11.1 17.76 7 1,2 6 25.6 16.7 20.6 2.6 1.4 0.0 2.2 0.00 0 0 7 23.9 15.2 19.4 1.4 0.8 0.0 1.1 0.07 0 0 8 20.6 12.8 16.1 -1.9 -1.0 0.0 0.0 0.11 0 0 9 22.1 13.9 18.9 0.9 0.5 0.0 0.6 0.00 0 0 10 25.0 12.6 16.1 -1.9 -1.0 0.0 0.0 0.00 0 0 11 22.1 8.9 15.3 -2.7 -1.5 0.0 0.0 0.67 0 12 14.5 9.4 10.5 -7.5 -4.2 0.0 0.0 1.13 13 16.7 7.2 12.1 -5.9 -3.3 0.0 0.0 0.23 14 19.3 9.3 15.0 -3.0 -1.7 0.0 0.0 15 16 17 18 12.8 13.3 12.9 16.4 -5.2 -4.7 -5.1 -1.6 -2.9 -2.6 -2.8 -0.9 0.0 0.0 0.0 0.0 19 19.1 10.9 15.9 20 22.0 12.8 18.4 -2.1 0.4 -1.2 0.2 0.0 0.0 16.5 18.9 16.8 19.4 8.9 10.7 9.5 10.7 8.1 12.96 6 0 6.3 10.08 8 0 13.2 21.12 8 0 3 0 8.88 14.208 6 0 0 19.6 31.36 6 3,5 T 0 23.5 8 1,3,5 0 0 14.2 22.72 7 1,2 0.02 0 0 10.5 8 1 0.0 0.0 0.0 0.0 T 0.00 0.00 0.00 0 0 0 0 0 0 0 0 11.9 19.04 6.4 10.24 9.5 15.2 11.1 17.76 4 3 3 2 0 0 0 0 2.8 5.0 0.00 0.00 0 0 0 0 1 1 0 0 4.2 4.6 7.4 6.72 37.6 16.8 7.36 11.84 360 SW 33.3 306.66666 7 W 38.6 320 W 28.3 466.66666 7 SW 24.3 493.33333 3 S 16.7 466.66666 7 S 27.9 386.66666 7 SE 10.3 453.33333 3 S 22.7 386.66666 7 S 32.4 367.2 SW 43.8 252 S 29.8 290.4 S 24.5 360 SW 23 306.66666 7 W 19.2 320 S 27.2 309.6 W 26.3 393.6 SW 17.8 381.6 W 23.1 276 393.6 + 657.6=1051.2 1051.2 657.6 276 Cumulative degree-hours for each day Lab Procedure 2, Step 5: Calculate elapsed degree hours for each of the days in the climatological data provided. To do this, add the degree hours for each day to the one before it starting at the 20th of the month. DAY MAX 1 MIN AVG DEPAR- DEPAR- HEATING COOLING TOTAL SNOW- SNOW, ICE AVG AVG SKY WEATHER PEAK degree TURE TURE WATER FALL, PELLETS SPEED SPEED COVER OCCURENCES WIND hours FROM FROM EQUIV ICE OR ICE ON (MPH) (KPH) SUNRISE(KPH) NORMAL NORMAL PELLETS GROUND SUNSET 18.3 10.6 16.1 -1.9 -1.0 2.2 0.0 0.00 0 0 6.3 10.08 6 0 cumulative degree hours S 18.7 386.66666 7 SE 26.2 2 19.4 12.8 15.0 -3.0 -1.7 3.3 0.0 0.09 0 0 13.8 22.08 6 0 3 4 17.2 9.4 12.8 20.0 10.6 13.3 -5.2 -4.7 -2.9 -2.6 5.6 5.0 0.0 0.0 0.19 0.28 0 0 0 0 17.2 27.52 12.3 19.68 8 9 5 1 5 21.1 12.8 19.4 1.4 0.8 0.0 1.1 0.00 0 0 11.1 17.76 7 1,2 6 25.6 16.7 20.6 2.6 1.4 0.0 2.2 0.00 0 0 7 23.9 15.2 19.4 1.4 0.8 0.0 1.1 0.07 0 0 8 20.6 12.8 16.1 -1.9 -1.0 0.0 0.0 0.11 0 0 9 22.1 13.9 18.9 0.9 0.5 0.0 0.6 0.00 0 0 10 25.0 12.6 16.1 -1.9 -1.0 0.0 0.0 0.00 0 0 11 22.1 8.9 15.3 -2.7 -1.5 0.0 0.0 0.67 0 12 14.5 9.4 10.5 -7.5 -4.2 0.0 0.0 1.13 13 16.7 7.2 12.1 -5.9 -3.3 0.0 0.0 0.23 14 19.3 9.3 15.0 -3.0 -1.7 0.0 0.0 15 16 17 18 12.8 13.3 12.9 16.4 -5.2 -4.7 -5.1 -1.6 -2.9 -2.6 -2.8 -0.9 0.0 0.0 0.0 0.0 19 19.1 10.9 15.9 20 22.0 12.8 18.4 -2.1 0.4 -1.2 0.2 0.0 0.0 16.5 18.9 16.8 19.4 8.9 10.7 9.5 10.7 8.1 12.96 6 0 6.3 10.08 8 0 13.2 21.12 8 0 3 0 8.88 14.208 6 0 0 19.6 31.36 6 3,5 T 0 23.5 8 1,3,5 0 0 14.2 22.72 7 1,2 0.02 0 0 10.5 8 1 0.0 0.0 0.0 0.0 T 0.00 0.00 0.00 0 0 0 0 0 0 0 0 11.9 19.04 6.4 10.24 9.5 15.2 11.1 17.76 4 3 3 2 0 0 0 0 2.8 5.0 0.00 0.00 0 0 0 0 1 1 0 0 4.2 4.6 7.4 6.72 37.6 16.8 7.36 11.84 360 SW 33.3 306.66666 7 W 38.6 320 W 28.3 466.66666 7 SW 24.3 493.33333 3 S 16.7 466.66666 7 S 27.9 386.66666 7 SE 10.3 453.33333 3 S 22.7 386.66666 7 S 32.4 367.2 SW 43.8 252 S 29.8 290.4 S 24.5 360 SW 23 306.66666 7 W 19.2 320 S 27.2 309.6 W 26.3 393.6 SW 17.8 381.6 W 23.1 276 309.6 + 1051.2=1360.8 1360.8 1051.2 657.6 276 Cumulative degree-hours for each day Lab Procedure 2, Step 5: Calculate elapsed degree hours for each of the days in the climatological data provided. To do this, add the degree hours for each day to the one before it starting at the 20th of the month. DAY MAX MIN AVG DEPAR- DEPAR- HEATING COOLING TOTAL SNOW- SNOW, ICE AVG AVG SKY WEATHER PEAK degree TURE TURE WATER FALL, PELLETS SPEED SPEED COVER OCCURENCES WIND hours FROM FROM EQUIV ICE OR ICE ON (MPH) (KPH) SUNRISE(KPH) NORMAL NORMAL PELLETS GROUND SUNSET 1 18.3 10.6 16.1 -1.9 -1.0 2.2 0.0 0.00 0 0 10.08 6 0 2 19.4 12.8 15.0 -3.0 -1.7 3.3 0.0 0.09 0 0 13.8 22.08 6 0 3 4 17.2 9.4 12.8 20.0 10.6 13.3 -5.2 -4.7 -2.9 -2.6 5.6 5.0 0.0 0.0 0.19 0.28 0 0 0 0 17.2 27.52 12.3 19.68 8 9 5 1 5 21.1 12.8 19.4 1.4 0.8 0.0 1.1 0.00 0 0 11.1 17.76 7 1,2 6 25.6 16.7 20.6 2.6 1.4 0.0 2.2 0.00 0 0 7 23.9 15.2 19.4 1.4 0.8 0.0 1.1 0.07 0 0 8 20.6 12.8 16.1 -1.9 -1.0 0.0 0.0 0.11 0 0 9 22.1 13.9 18.9 0.9 0.5 0.0 0.6 0.00 0 0 10 25.0 12.6 16.1 -1.9 -1.0 0.0 0.0 0.00 0 0 11 22.1 8.9 15.3 -2.7 -1.5 0.0 0.0 0.67 0 12 14.5 9.4 10.5 -7.5 -4.2 0.0 0.0 1.13 13 16.7 7.2 12.1 -5.9 -3.3 0.0 0.0 0.23 14 19.3 9.3 15.0 -3.0 -1.7 0.0 0.0 15 16 17 18 12.8 13.3 12.9 16.4 -5.2 -4.7 -5.1 -1.6 -2.9 -2.6 -2.8 -0.9 0.0 0.0 0.0 0.0 19 19.1 10.9 15.9 20 22.0 12.8 18.4 -2.1 0.4 -1.2 0.2 0.0 0.0 16.5 18.9 16.8 19.4 8.9 10.7 9.5 10.7 6.3 8.1 12.96 6 0 6.3 10.08 8 0 13.2 21.12 8 0 3 0 8.88 14.208 6 0 0 19.6 31.36 6 3,5 T 0 23.5 8 1,3,5 0 0 14.2 22.72 7 1,2 0.02 0 0 10.5 8 1 0.0 0.0 0.0 0.0 T 0.00 0.00 0.00 0 0 0 0 0 0 0 0 11.9 19.04 6.4 10.24 9.5 15.2 11.1 17.76 4 3 3 2 0 0 0 0 2.8 5.0 0.00 0.00 0 0 0 0 1 1 0 0 4.2 4.6 7.4 6.72 37.6 16.8 7.36 11.84 S 18.7 386.66666 7 SE 26.2 360 SW 33.3 306.66666 7 W 38.6 320 W 28.3 466.66666 7 SW 24.3 493.33333 3 S 16.7 466.66666 7 S 27.9 386.66666 7 SE 10.3 453.33333 3 S 22.7 386.66666 7 S 32.4 367.2 SW 43.8 252 S 29.8 290.4 S 24.5 360 SW 23 306.66666 7 W 19.2 320 S 27.2 309.6 W 26.3 393.6 SW 17.8 381.6 W 23.1 276 cumulative degree hours 7283.73333 6897.06667 6537.06667 6230.4 5910.4 5443.73333 4950.4 4483.73333 4097.06667 3643.73333 3257.06667 2889.86667 2637.86667 2347.46667 1987.46667 1680.8 1360.8 1051.2 657.6 276 From the 20th at 3:00PM til the 1st at 12:00AM there were a total of 7283.7 degree-hours Degree-Hour Determination Knowns • Bodies discovered at 1:00PM on June 20 • Insects collected at 3:00PM on June 20 • Weather type (sunny, partly cloudy, overcast) • Weather events (rain, thunderstorms, snow) • Daily average temperature • Male and Female had the same species and lifecycles present (Migrating 3rd Instar Species A, 2nd Instar Species B) Unknowns • Elapsed degree-hours for each day • Degree-hours for each life stage of both species • Cumulative degree-hours for each life stage of both species • Cumulative elapsed degree hours for each day • Which day the adult insect from both species laid its eggs • Earliest and latest time the insects began developing Which day the adult insect laid eggs on the body: Species A Lab Procedure 2, Step 6a: Examine the species A life stages collected as evidence and identify the oldest species A life stage collection for the adult male. DAY degree hours 1 cumulative degree hours 386.66666 7 2 Feeding 3rd Instar Migrating 3rd Instar 50 118 1050 2478 1050+1638 = 2688 2478+1638 = 5166 7283.73333 360 306.66666 3 7 4 320 466.66666 5 7 493.33333 6 3 466.66666 7 7 386.66666 8 7 453.33333 9 3 386.66666 10 7 6897.06667 11 367.2 3257.06667 12 252 2889.86667 13 290.4 2637.86667 14 360 306.66666 7 320 309.6 393.6 2347.46667 15 16 17 18 19 20 381.6 276 657.6 276 6537.06667 6230.4 5910.4 5443.73333 4950.4 4483.73333 4097.06667 3643.73333 1987.46667 1680.8 1360.8 1051.2 On Day 11, the cumulative degree-hours were 3257. Species A takes 2688 degree-hours to complete development in the Feeding 3rd Instar and begin development in the Migration stage of the 3rd Instar. The temperature data alone suggests that the eggs were laid on the 12th, but there was a storm then, so we know that the eggs were laid before then since flies are not active during thunderstorms. Which day the adult insect laid eggs on the body: Species B Lab Procedure 2, Step 6a: Examine the species A life stages collected as evidence and identify the oldest species B life stage collection for the adult male. DAY degree hours 1 cumulative degree hours 386.66666 7 2 7283.73333 360 306.66666 3 7 4 320 466.66666 5 7 493.33333 6 3 466.66666 7 7 386.66666 8 7 453.33333 9 3 386.66666 10 7 6897.06667 11 367.2 3257.06667 12 252 2889.86667 13 290.4 2637.86667 14 360 306.66666 7 320 309.6 393.6 2347.46667 15 16 17 18 19 20 381.6 276 657.6 276 6537.06667 6230.4 5910.4 1st Instar 2nd Instar 37 31 777 651 777+525 = 1302 651+1302 = 1953 5443.73333 4950.4 4483.73333 4097.06667 3643.73333 1987.46667 1680.8 1360.8 1051.2 On Day 17, the cumulative degree-hours were 1360. Species B takes 1302 degree-hours to complete development in the 1st Instar and begin development in the 2nd Instar. Degree-Hour Determination Knowns • Bodies discovered at 1:00PM on June 20 • Insects collected at 3:00PM on June 20 • Weather type (sunny, partly cloudy, overcast) • Weather events (rain, thunderstorms, snow) • Daily average temperature • Male and Female had the same species and lifecycles present (Migrating 3rd Instar Species A, 2nd Instar Species B) Unknowns • Elapsed degree-hours for each day • Degree-hours for each life stage of both species • Cumulative degree-hours for each life stage of both species • Cumulative elapsed degree hours for each day • Which day the adult insect from both species laid its eggs • Earliest and latest time the insects began developing Calculating the PMI DAY degree hours cumulative degree hours 10 453.33333 3 386.66666 7 11 367.2 3257.06667 12 252 2889.86667 13 290.4 2637.86667 14 2347.46667 15 16 17 18 360 306.66666 7 320 309.6 393.6 19 20 381.6 276 657.6 276 9 4097.06667 3643.73333 1987.46667 1680.8 1360.8 1051.2 Post Mortem Interval = ∑ hours(day) = h(20) + h(19) + h(18) + h(17) … + h(11) = 15 + 24 + 24 + 24 … + 24 = 207 hours = 8 days, 15 hours Conclusion: Bodies have been dead for a minimum of 8 days, 16 hours DAY degree hours cumulative degree hours 10 453.33333 3 386.66666 7 11 367.2 3257.06667 12 252 2889.86667 13 290.4 2637.86667 14 2347.46667 15 16 17 18 360 306.66666 7 320 309.6 393.6 19 20 381.6 276 657.6 276 9 4097.06667 3643.73333 1987.46667 1680.8 1360.8 1051.2 Post Mortem Interval = ∑ hours(day) = h(20) + h(19) + h(18) + h(17) … + h(11) = 15 + 24 + 24 + 24 … + 24 = 207 hours = 8 days, 15 hours THUNDERSTORM The post mortem interval was calculated to be 8 days, 15 hours, but we know that the storm occurred on the evening of the 11th, so we conjecture that the flies were active at least an hour on the 11th to give them time to lay the eggs, thus bringing our PMI to a minimum of 8 days, 16 hours. The actual PMI, which is unknown, may vary up to 12 hours more than this calculation due to weather. Students’ calculations may vary by up to a day later. Developed by Vandalia SciEd Vandalia SciEd 1111 Veterans Memorial Boulevard Huntington, WV 25701 www.LyleAndLouise.com www.VandaliaSciEd.com