BiologyAS 91601NCEA Level 3 Science

Biology investigation: temperature and Daphnia heart rate

What this lesson covers

  • Writing a purpose as a testable hypothesis, linked to a biological idea such as enzyme activity in an ectotherm.
  • Choosing a valid range for the independent variable, measuring the dependent variable well and controlling the key variables.
  • Sample size, independent repeats and the ethics of using live animals in an investigation.
  • Processing data: means, standard deviation, error bars and a Q10 value.
  • Judging validity and reliability, and explaining the biology behind the trend using your data and other sources.
Key idea

What the standard rewards

  • This is an internal standard: you plan and carry out your own investigation with your teacher's guidance, then hand in a report. You may change your method after a trial run, and you should say why you did.
  • The report needs a hypothesis, a method, raw and processed data, a graph, a conclusion that answers the purpose, and findings from at least one other source.
  • The step up at each grade is in how well you justify your choices and link the result to biology.
GradeWhat the report shows
AchievedA hypothesis linked to a biological idea; a method naming the variables and range; data collected and processed; a conclusion that answers the purpose; a finding from another source.
MeritA valid method that deals with sampling bias and sources of error; reliable data showing a clear trend (or none); a valid conclusion; the biology explained using both your results and another source.
ExcellenceChoices justified by evaluating validity and reliability; a conclusion that discusses the biology and compares your findings with published work or a model.
Key idea

Purpose and hypothesis

  • Daphnia (water fleas) are small freshwater crustaceans and ectotherms: their body temperature follows the water around them, so warmer water warms every cell.
  • The heart's beat is driven by pacemaker cells whose ion pumps and channels, and the enzymes making ATP for the muscle, all work faster when molecules have more kinetic energy.
  • A purpose written as a hypothesis names both variables, predicts the direction and gives the reason: as water temperature increases from 10 °C to 30 °C, the heart rate of Daphnia will increase, because metabolic reactions speed up with temperature.
  • A null hypothesis is useful too: temperature has no effect on heart rate. Your data then either support rejecting it or do not.
Key idea

Variables and a valid range

  • The independent variable is what you change, the dependent variable is what you measure, and controlled variables are kept the same so they cannot explain the result.
  • Pick a range that is wide enough to show a trend but safe for the organism: Daphnia live in ponds from about 5 °C to the mid 20s, so 10, 15, 20, 25 and 30 °C covers the realistic range with five evenly spaced values.
  • A trial run tells you what is practical; one class found counting by eye was impossible above 250 beats per minute, so they filmed in slow motion on a phone through the eyepiece and counted from playback.
VariableIn this investigationHow it is set or measured
IndependentWater temperatureWater bath at 10, 15, 20, 25 and 30 °C, checked with a thermometer
DependentHeart rate (beats per minute)Beats counted for 15 s from slow-motion video, multiplied by 4
ControlledAcclimation time5 minutes at each temperature before counting
ControlledDaphnia size and cultureAdults of similar length from the same culture
ControlledWater and lightSame culture water; microscope lamp on for under 1 minute
Key idea

Try it: repeats and outliers

Key idea

Controls, sample size and repeats

  • Use a different Daphnia for each repeat, five at each temperature: counting one animal five times only shows how well you count, not how Daphnia vary.
  • Assign animals to temperatures at random, by drawing them from the culture with a pipette without picking the biggest or most active.
  • The microscope lamp heats the slide, so a slide reading taken after the lamp has been on for minutes is a hidden variable; switch the lamp off between counts or use an LED.
  • A control is the 20 °C group, close to the culture's own temperature, which gives the normal rate the others are compared with.
Key idea

Ethics of working with live animals

  • The Animal Welfare Act 1999 covers vertebrates and some invertebrates such as crabs, crayfish and octopus; Daphnia are not covered, but the same principles of care apply.
  • Use the fewest animals that give reliable data, keep each one out of its culture water for the shortest time, and do not go above 30 °C, where Daphnia show heat stress.
  • Return each animal to a recovery container at room temperature, and never test drugs such as caffeine or alcohol on them without your teacher's approval.
  • Say in your report what you did to look after the animals; it is part of a valid method.
Worked example

Example: processing the class's results

  • A Year 13 class counted the heart rate of five Daphnia at each temperature.
  • Find the mean and standard deviation for the 20 °C group.
A Year 13 class's results: heart rate in beats per minute
Temperature (°C)Daphnia 12345MeanStandard deviation
101481551421601501516.9
151962101882052012008.5
202482622402552502518.2
252943122883053013009.4
3031834030533632632514.1
  1. mean = (248 + 262 + 240 + 255 + 250) ÷ 5 = 1255 ÷ 5 = 251 beats per minute
  2. differences from the mean: −3, 11, −11, 4, −1each value minus 251
  3. squares: 9 + 121 + 121 + 16 + 1 = 268
  4. variance = 268 ÷ (5 − 1) = 67divide by n − 1 for a sample
  5. standard deviation = √67 = 8.2 beats per minute
  6. 8.2 is small next to 251, so the five Daphnia agree closely
Worked example

Example: the graph and the Q10

  • Plot the mean at each temperature with error bars of one standard deviation above and below, and join the means with a line or a smooth curve, not a ruler line through the origin.
  • The rise is steady from 10 to 25 °C, then smaller from 25 to 30 °C, where the error bar is also widest.
  • Q10 compares the rate at one temperature with the rate 10 °C higher; most enzyme-controlled processes have a Q10 of about 2.
Line graph of mean Daphnia heart rate against temperature: 151 at 10 °C, 200 at 15, 251 at 20, 300 at 25 and 325 at 30 beats per minute, each point with an error bar of one standard deviation
  1. Q10 = rate at (T + 10) ÷ rate at T
  2. 10 °C to 20 °C: Q10 = 251 ÷ 151 = 1.7
  3. 20 °C to 30 °C: Q10 = 325 ÷ 251 = 1.3
  4. Q10 falls at higher temperatures, so the rate is levelling off
Key idea

Try it: the class's mean heart rates

Key idea

Statistics: what error bars tell you

  • Standard deviation measures the spread of the repeats; a large one means the individuals vary a lot or the measurement was hard to make.
  • If the error bars of two groups overlap a lot, the difference between their means could easily be chance; if they do not overlap, the difference is probably real.
  • A t-test makes that judgement with a number: for 25 °C against 30 °C, t is about 3.3, larger than the critical value of about 2.4 for this sample size, so the difference is unlikely to be chance.
  • Five Daphnia per group is the bare minimum; ten would narrow the spread of the mean and make a small difference easier to detect.
Two pairs of bars with error bars: on the left the error bars overlap a lot, so the difference may be chance; on the right they do not overlap, so the difference is likely to be real
Key idea

Validity and reliability

  • Validity asks whether you measured what you meant to: did the Daphnia's body actually reach the water temperature, and did the lamp warm the slide during counting?
  • Reliability asks whether you would get the same result again: small standard deviations and agreement with other groups or published data show reliable data.
  • Sources of error are specific: miscounting fast beats, the slide cooling or warming while you count, and animals of different ages or sizes.
  • For Excellence, say how each choice in your method reduced one of these, and how much that error could have changed your conclusion.
Key idea

The biology behind the trend

  • Between 10 and 25 °C, extra kinetic energy means more successful collisions between enzymes and substrates, so respiration supplies ATP faster and the pacemaker cells reach their firing threshold sooner.
  • Above about 25 °C the rise slows: some enzymes are near their optimum and the heart muscle cannot shorten and relax much faster, so the Q10 drops.
  • The wider spread at 30 °C fits heat stress: some individuals cope better than others, which is why the investigation stopped there.
  • Published work on Daphnia and other ectotherms shows the same shape, which lets you compare your Q10 with theirs and discuss why yours differs.
Worked example

Example: the conclusion at three grades

  • Each answer below is about the same data; notice what is added at each step.
GradeWhat the student wrote
AchievedAs temperature increased from 10 °C to 30 °C the mean heart rate increased from 151 to 325 beats per minute, so my hypothesis was supported.
MeritHeart rate rose steadily to 300 beats per minute at 25 °C. Daphnia are ectotherms, so warmer water speeds up the enzymes of respiration and the pacemaker cells fire sooner. The small standard deviations (under 10) and non-overlapping error bars show a reliable trend.
ExcellenceThe Q10 fell from 1.7 between 10 and 20 °C to 1.3 between 20 and 30 °C, so the heart rate is levelling off as enzymes near their optimum, matching published Daphnia studies. The 30 °C group had the largest spread (14.1), which fits heat stress varying between individuals. Because I used five different animals at each temperature and controlled lamp heating, I am confident the trend is real, but ten animals per group would make the 25 to 30 °C difference more certain.

Common mistakes

  • I counted the same Daphnia five times, so I have five repeats.
    Those are repeat readings of one animal; independent repeats need five different Daphnia, so the result applies to Daphnia in general.
  • The error bars overlap, so temperature had no effect.
    Overlap means the difference between those two groups is uncertain, not that there is no effect; look at the whole trend and test it.
  • Higher temperature denatures the enzymes, so heart rate falls at 25 °C.
    The data show heart rate still rising at 25 °C; describe what the data show before reaching for an explanation.
  • My results prove the hypothesis.
    Results support or do not support a hypothesis; a small sample from one culture cannot prove it.
Try it at home

Does a short climb change your heart rate?

You need: a phone with a stopwatch, a staircase or a low step, paper and a pen, two or three family members, if they will help

  1. Sit still for 3 minutes, then find your pulse at the wrist and count it for 15 seconds; multiply by 4 for beats per minute.
  2. Step up and down a low step for 1 minute at a steady pace, then count your pulse straight away for 15 seconds.
  3. Rest for 5 minutes and repeat both readings twice more, so you have three repeats of each.
  4. If family members join in, record each person's results separately; these are independent repeats, unlike your own three.
  5. Work out each mean and the range. Look for: a clear rise after exercise, and more spread between people than between your own repeats.

Safety: Use a low step and hold the rail; anyone with a heart or breathing condition should only do the resting count.

Your turn

1

A Daphnia's heart beats 58 times in 15 s. What is its heart rate in beats per minute?

2

Five Daphnia at 15 °C gave 210, 224, 198, 215 and 203 beats per minute. Find the mean.

3

Using the class's means, calculate Q10 between 15 °C and 25 °C.

4

Why did the class leave each Daphnia at the test temperature for 5 minutes before counting?

5

Why is counting five different Daphnia better than counting one Daphnia five times?

Show answer

1. 58 × 4 = 232 beats per minute. 2. (210 + 224 + 198 + 215 + 203) ÷ 5 = 1050 ÷ 5 = 210 beats per minute. 3. Q10 = 300 ÷ 200 = 1.5. 4. So the Daphnia's body, an ectotherm, reached the water temperature before the heart rate was measured; otherwise it would still reflect the culture temperature. 5. Different animals vary, so five individuals show whether the effect holds for Daphnia in general; one animal counted five times only tests the counting.

Your turn

Your turn: evaluate

1

The 30 °C group had the largest standard deviation. Give a biological reason.

2

Name one source of error that would make every reading too high, and how to reduce it.

3

Another class found Q10 = 2.1 between 10 and 20 °C. Give one reason the two classes could differ.

Show answer

1. At 30 °C Daphnia are near their upper limit, so heat stress affects individuals differently; some keep up a fast rate while others slow. 2. The microscope lamp warming the slide during counting raises the real temperature above the set value, so the heart beats faster; switch the lamp off between counts or use a cool LED light. 3. Their Daphnia may have been a different age, size or culture, or kept at a different temperature before the test, which changes their metabolic rate.

Summary

Recap

  • Write the purpose as a hypothesis that names both variables, predicts the direction and gives a biological reason.
  • Use a valid range, control the variables that matter, and use different individuals as repeats, treating animals with care.
  • Process with means and standard deviations, graph with error bars, and use Q10 or a t-test to judge the trend.
  • Excellence justifies each choice by its effect on validity and reliability and compares the result with published biology.
StepIn the Daphnia investigation
HypothesisHeart rate rises with temperature from 10 to 30 °C
MethodFive Daphnia at each of five temperatures, 5 minutes acclimation
ProcessingMeans, standard deviations, error bars, Q10
ConclusionRate rose from 151 to 325 beats per minute, levelling off above 25 °C
Maths

The maths behind it

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