Entomology calculations

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Entomology Kit

Climate Data & Calculations

Analysis Tutorial

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

Actual Lab data

Adult Woman in Cabin Adult Man in Cabin

Eggs

1 st Instar

2 nd Instar

3 rd

Feeding

3 rd

Migrating

Pre-Pupae

Pupae

Adult

Species A Species B

1

1

2

2

3

2

Eggs

1 st Instar

2 nd Instar

3 rd

Feeding

3 rd

Migrating

Pre-Pupae

Pupae

Adult

Species A Species B

5

3

1

3 1

2

4

4 1

3 rd Instar Migrating were the most developed larvae from Species A and 2 nd Instar were the most developed from Species B. The adult flies from each species represent those laying eggs

NOT adults resulting from a full life cycle.

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 3 rd Instar Species A, 2 nd 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

• Average Temperature for the month of June

• Which day the adult insect from both species laid its eggs (PMI)

• 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

COOLING DAY AVG DEPARDEPAR-TURE

TURE FROM FROM NORMAL

NORMAL

HEATING TOTAL

WATER

EQUIV

SNOW-FALL,

ICE PELLETS

SNOW, ICE

PELLETS OR ICE

ON GROUND

AVG

SPEED

(MPH)

AVG

SPEED

(KPH)

SKY COVER

SUNRISE-

SUNSET

WEATHER

OCCURENCES

PEAK

WIND (KPH) degree hours

12.4

12.6

14.7

14.5

13.2

13.1

14.2

10.7

11.5

12.8

12.7

12.9

12.7

12.8

12.9

13.2

12.5

12.8

12.5

13.2

9

10

11

12

13

14

6

7

8

15

16

17

18

19

20

1

2

3

4

5

2.6

1.4

-1.9

0.9

-1.9

-2.7

-7.5

-5.9

-3.0

-5.2

-4.7

-5.1

-1.6

-2.1

0.4

-1.9

-3.0

-5.2

-4.7

1.4

1.4

0.8

-1.0

0.5

-1.0

-1.5

-4.2

-3.3

-1.7

-2.9

-2.6

-2.8

-0.9

-1.2

0.2

-1.0

-1.7

-2.9

-2.6

0.8

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

0.0

2.2

3.3

5.6

5.0

0.0

0.00

0.07

0.11

0.00

0.00

0.67

1.13

0.23

0.02

T

0.00

0.00

0.00

0.00

0.00

0.00

0.09

0.19

0.28

0.00

0.6

0.0

0.0

0.0

0.0

0.0

2.2

1.1

0.0

0.0

0.0

0.0

0.0

2.8

5.0

0.0

0.0

0.0

0.0

1.1

0

T

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

0

12.96

10.08

21.12

6.72

14.208

31.36

37.6

22.72

16.8

19.04

10.24

15.2

17.76

7.36

11.84

10.08

22.08

27.52

19.68

17.76

8.1

6.3

13.2

4.2

8.88

19.6

23.5

14.2

10.5

11.9

6.4

9.5

11.1

4.6

7.4

6.3

13.8

17.2

12.3

11.1

6

8

7

8

3

6

6

8

8

3

2

1

1

4

3

6

6

8

9

7

3,5

1,3,5

1,2

1

0

0

0

0

0

0

0

0

0

0

0

1

1,2

0

0

5

386.666667

360

306.666667

320

466.666667

493.333333

466.666667

386.666667

453.333333

386.666667

367.2

252

290.4

360

306.666667

320

309.6

393.6

381.6

276

S 18.7

SE 26.2

SW 33.3

W 38.6

W 28.3

SW 24.3

S 16.7

S 27.9

SE 10.3

S 22.7

S 32.4

SW 43.8

S 29.8

S 24.5

SW 23

W 19.2

S 27.2

W 26.3

SW 17.8

W 23.1

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 3 rd Instar Species A, 2 nd 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

• Average Temperature for the month of June

• Which day the adult insect from both species laid its eggs (PMI)

• 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

21

Egg

21 hrs

21 hrs *21˚C

= 441 deg-hrs

1 st Instar 2 nd Instar Feeding 3 rd

Instar

31 hrs

31*21 =

651

26 hrs

26*21 =

546

50 hrs

50*21 =

1050

Migrating

3 rd Instar

118 hrs

118*21 =

2478

Pupa

240 hrs

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 1 st Instar 2 nd Instar Feeding 3 rd

Instar

Migrating

3 rd Instar

Pupa

21 25 hrs

25*21 =

525

37 hrs

37*21 =

777

31 hrs

31*21 =

651

60 hrs

60*21 =

1260

124 hrs

124*21 =

2604

286 hrs

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 3 rd Instar Species A, 2 nd 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

• Average Temperature for the month of June

• Which day the adult insect from both species laid its eggs (PMI)

• 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 1 st Instar 2 nd Instar Feeding 3 rd

Instar

21 21 31 26 50

546 1050 Deg Hrs 441 651

Cum.

Deg Hrs

441

Migrating

3 rd Instar

118

2478

Pupa

240

5040

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 1 st Instar 2 nd Instar Feeding 3 rd

Instar

21 21 31 26 50

546 1050 Deg Hrs 441 651

Cum.

Deg Hrs

441 651+441

= 1092

Migrating

3 rd Instar

118

2478

Pupa

240

5040

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 1 st Instar 2 nd Instar Feeding 3 rd

Instar

21 21 31 26 50

1050 Deg Hrs 441 651

Cum.

Deg Hrs

441 651+441

= 1092

546

546+1092

= 1638

Migrating

3 rd Instar

118

2478

Pupa

240

5040

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 1 st Instar 2 nd Instar Feeding 3 rd

Instar

21 21 31 26 50

Deg Hrs 441 651

Cum.

Deg Hrs

441 651+441

= 1092

546

546+1092

= 1638

1050

1050+1638

= 2688

Migrating

3 rd Instar

118

2478

Pupa

240

5040

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 1 st Instar 2 nd Instar Feeding 3 rd

Instar

21 21 31 26 50

Deg Hrs 441 651

Cum.

Deg Hrs

441 651+441

= 1092

546

546+1092

= 1638

1050

1050+1638

= 2688

Migrating

3 rd Instar

118

2478

2478+2688

= 5166

Pupa

240

5040

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 1 st Instar 2 nd Instar Feeding 3 rd

Instar

21 21 31 26 50

Deg Hrs 441 651

Cum.

Deg Hrs

441 651+441

= 1092

546

546+1092

= 1638

1050

1050+1638

= 2688

Migrating

3 rd Instar

118

2478

2478+2688

= 5166

Pupa

240

5040

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 Accumulated degree hours required for an adult fly to develop at 21 ° C.

Temp °C Egg 1 st Instar 2 nd Instar Feeding 3 rd

Instar

21 21 31 26 50

Deg Hrs 441 651

Accum.

Deg Hrs

(ADH)

441 651+441

= 1092

546

546+1092

= 1638

1050

1050+1638

= 2688

Migrating

3 rd Instar

118

2478

2478+2688

= 5166

Pupa

240

5040

5040+5166

= 10206

Accumulated degree-hours (ADH) = Sum of degree hours at each stage

= 10206

Now we will repeat the Accumulated degree-hours 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 Accumulated degree hours required for an adult fly to develop at 21 ° C.

Temp °C Egg 1 st Instar 2 nd Instar Feeding 3 rd

Instar

21 25 37 31 60

Deg Hrs 525 777

Accum.

Deg Hrs

(ADH)

525 777+525

= 1302

651

651+1302

= 1953

1260

1260+1953

= 3213

Migrating

3 rd Instar

124

2604

2604+3213

= 5817

Pupa

286

6006

6006+5817

= 11823

Accumulated degree-hours (ADH) = Sum of the degree hours at each stage

= 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 3 rd Instar Species A, 2 nd Instar Species B)

Unknowns

• Elapsed degree-hours for each day

• Degree-hours for each life stage of both species

• Accumulative degree-hours for each life stage of both species

• Average Temperature for the month of June

• Which day the adult insect from both species laid its eggs (PMI)

• Earliest and latest time the insects began developing

Elapsed degree-hours for each day

DAY AVG

12.4

12.6

14.7

14.5

13.2

13.1

14.2

10.7

11.5

12.8

12.7

12.9

12.7

12.8

12.9

13.2

12.5

12.8

12.5

13.2

9

10

11

12

13

14

6

7

8

15

16

17

18

19

20

1

2

3

4

5

Average temp for the month = 12.9◦C

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 3 rd Instar Species A, 2 nd 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

• Average Temperature for the month of June

• Which day the adult insect from both species laid its eggs

• Earliest and latest time the insects began developing

Calculating the PMI

Post Mortem Interval = ADH/Average actual temp

= 2688/12.9

Use the ADH from the Feeding

3 rd Instar – species A because

= 208 hours (divide by 24)

= 8.68 days (multiply .68*24 for hours)

= 8 days, 15 hours that is the maximum amount of time needed

(the ADH for 2 nd Instar – species B is only 1302 hrs)

Conclusion: Bodies have been dead for a minimum of 8 days, 16 hours

DAY degree hours Post Mortem Interval = 8 days, 15 hours

9

10

11

12

13

14

15

16

17

18

19

20

453.333333

386.666667

367.2

252

290.4

360

306.666667

320

309.6

393.6

381.6

276

THUNDERSTORM

The post mortem interval was calculated to be 8 days, 16 hours, but we know that the storm occurred on the evening of the 11 th , so we conjecture that the flies were active at least an hour on the 11 th 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.

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