Pluralistic Valuation of Codling Moth Regulation by Brown Long-Eared Bats in English Apple Orchards
Abstract
:1. Introduction
2. Background
2.1. Ecosystem Services and Economics
2.2. Apples and Arthropods
2.3. Bat Ecology
2.4. Bat Pest Regulation Services
3. Method
3.1. Establishing the Model
- 1
- Spring emergence of adult moths from their overwintering pupating stage, with a peak between May and June, was first established using a differential equation:
- 2
- Natural mortality rate of adults was calculated through current number of adults divided by average life expectancy assuming that all adult moths which are not consumed by the bat live out their full life expectancy and fecundity.
- 3
- Consumption by the bat was also dependent upon the density of adult moths as follows:As well as being dependent on bat reproductive stage, nightly pest consumption rate is also dependent on the weight of prey and proportion of prey in the bat’s diet. Studies attempting to calculate the average proportion of Lepidoptera in P. auritus diet have attained widely different values. Although a West of Ireland study by Shiel et al. [64] is the geographically closest estimation, a more recent faecal analysis study in Switzerland by Andriollo et al. [65] utilised DNA metabarcoding, identifying a broader taxonomic diversity, Andriollo et al. [65] found that C. pomonella occurred in 7% of P. auritus guano from across 9 different roost sites. It was assumed C. pomonella constituted up to 7% of P. auritus diet. The current moth population expressed as a proportion of the peak population ensures that the bat was not able to consume more moths than were currently present. Where the current population of C. pomonella reached peak population size, codling moth was assumed to account for the full 7% in the P. auritus diet as it was deemed abundant.
- 4
- The egg-laying function was integrated into the egg life stage parameter. Number of eggs at any given time was calculated as “Eggs laid–Egg mortality–Hatching”. Assuming a sex ratio of 1:1 [66], half of the adult moth population were assumed to be female and lay a set number of eggs in their full lifetime, established with a rate of number of eggs divided by adult life expectancy. This can be visualised in the equation:
- 5
- Egg mortality was calculated by number of eggs at given time multiplied by egg death rate divided by gestation time. Dividing egg death rate by gestation time ensured that the net proportion of eggs dying was equal to the egg death rate.
- 6
- Hatching was calculated as a rate of viable eggs over gestation time:
- 7
- Larvae mortality was calculated in a similar manner to egg mortality with number of larvae (i.e., Eggs hatched) multiplied by Larvae death rate over larvae life time.
- 8
- The equation for infestation was number of larvae at time t divided by larvae life expectancy. It was assumed that one larva infests one apple and multiple larvae cannot infest the same apple [67].
3.2. Data Collection
3.3. Sensitivity Analysis
3.4. Avoided Costs
4. Results
4.1. Baseline Model Results
4.2. Sensitivity Analysis
4.3. Avoided Costs
5. Discussion
5.1. Analysis
5.2. Integrated Pest Management
5.3. Wider Implications
6. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
Appendix A. Sensitivity Analysis Results
Parameter | Parameter Value | Cumulative Crop Loss (Apples Infested) |
---|---|---|
Adult lifespan (days) | 16.100 17.389 18.678 19.967 21.256 22.544 23.833 25.122 26.411 27.700 | 434.61 409.87 387.79 367.98 350.09 333.86 319.06 305.53 293.09 281.63 |
Number of eggs per female | 161.8 170.7 179.6 188.5 197.4 206.3 215.2 224.1 233.0 241.9 | 296.20 312.49 328.78 345.07 361.37 377.66 393.95 410.24 426.54 442.83 |
Egg death rate (proportion of eggs dying per day) | 0.12 0.20 0.28 0.37 0.45 0.53 0.61 0.70 0.78 0.86 | 481.74 441.59 407.60 378.45 353.19 331.08 311.58 294.24 278.73 264.77 |
Gestation (days) | 7.00 7.33 7.67 8.00 8.33 8.67 9.00 9.33 9.67 10.00 | 342.00 341.94 341.89 341.85 341.80 341.76 341.71 341.66 341.60 341.55 |
Larvae lifespan (days) | 13.00 16.79 20.58 24.37 28.16 31.95 35.74 39.53 43.32 47.11 | 343.12 342.90 342.62 342.20 341.59 340.72 339.54 338.02 336.17 333.98 |
Egg viability (proportion of eggs hatching) | 0.7170 0.7306 0.7441 0.7577 0.7712 0.7848 0.7983 0.8119 0.8255 0.8390 | 330.84 333.37 335.84 338.25 340.62 342.93 345.20 347.41 349.59 351.72 |
Larvae death rate | 0.241000 0.317111 0.393222 0.469333 0.545444 0.621556 0.697667 0.773778 0.849889 0.926000 | 521.14 492.71 467.05 443.80 422.66 403.37 385.70 369.48 354.54 340.73 |
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C. pomonella Parameter | Baseline Value | Range | Author(s) | Methods of Obtaining | Country of Study |
---|---|---|---|---|---|
Adult lifespan | 21.9 days (female) (at mean 22 °C) | 16.1–27.7 days | Graf et al. [68] | Captive study of individuals in climate chambers at six constant temperatures. | Switzerland |
Number of eggs per female moth | 186.7 | 161.8–241.9 | Graf et al. [68] | As above. | Switzerland |
Egg viability | 0.778 | 0.717–0.839 | Kuyulu & Genc [69] | Rearing of C. pomonella on Malus domestica cv. ‘Gala’ in laboratory conditions | Turkey |
Egg mortality (inc. arthropod predation) | 0.49 | 0.12–0.86 | Glen [71] | Field experiment. Known number of eggs glued to known locations over regular intervals in a cider apple orchard. | South-West England |
Gestation | 8.5 days | 7–10 days | AHDB, DEFRA [30,51] | Unknown | UK |
Larvae mortality | 0.92 | 0.241–0.926 Kuyulu & Genc [69] | Glen & Milsom [70] | Field experiment. Apple trees kept in different conditions with some excluding ground predatory beetles or birds. | South-West England |
Adult body mass | Males = 0.0164 g, Females = 0.02785 g | Unknown | Kuyulu & Genc [69] | As above. | Turkey |
Larvae lifespan | 27.15 days | 13–47.1 days | Graf et al. [68] | As above. | Switzerland |
Conditions for C. pomonella Reproduction | Low Reproduction | Stochastic Mode Reference | High Reproduction |
---|---|---|---|
Percentage crop loss reduction | 82.45–83.94% | 81.06–83.68% | 75.07–77.00% |
Gross avoided crop loss | 868–884 apples | 1066–2718 apples | 3751–3847 apples |
Avoided costs | |||
Crop loss (non-reprod.) Crop loss (pregnant) | GBP 156.24 GBP 159.12 | GBP 191.88–489.24 GBP 221.58–324.90 | GBP 657.18 GBP 692.46 |
Pesticide application | GBP 114.54 | GBP 114.54 | GBP 114.54 |
Hidden pesticide cost | GBP 2.28 | GBP 2.28 | GBP 2.28 |
Total | GBP 273.06–275.94 | GBP 308.70–606.06 | GBP 774.00–809.28 |
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Murphy, F.; Ament, J. Pluralistic Valuation of Codling Moth Regulation by Brown Long-Eared Bats in English Apple Orchards. Sustainability 2022, 14, 11966. https://doi.org/10.3390/su141911966
Murphy F, Ament J. Pluralistic Valuation of Codling Moth Regulation by Brown Long-Eared Bats in English Apple Orchards. Sustainability. 2022; 14(19):11966. https://doi.org/10.3390/su141911966
Chicago/Turabian StyleMurphy, Francis, and Joe Ament. 2022. "Pluralistic Valuation of Codling Moth Regulation by Brown Long-Eared Bats in English Apple Orchards" Sustainability 14, no. 19: 11966. https://doi.org/10.3390/su141911966
APA StyleMurphy, F., & Ament, J. (2022). Pluralistic Valuation of Codling Moth Regulation by Brown Long-Eared Bats in English Apple Orchards. Sustainability, 14(19), 11966. https://doi.org/10.3390/su141911966