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Modelling the population emergence dynamics of the western corn rootworm, Diabrotica virgifera virgifera, using the Gompertz curve and Bayesian hierarchical models. Jaksons R. 1,2 Moltchanova E. 1 17 June 2019 1 University of Canterbury 2 Instititue of Environmental Science Research (ESR) 1

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Page 1: Modellingthepopulationemergencedynamicsofthewesterncorn ... · Modellingthepopulationemergencedynamicsofthewesterncorn rootworm,Diabroticavirgiferavirgifera,usingtheGompertzcurveand

Modelling the population emergence dynamics of the western cornrootworm, Diabrotica virgifera virgifera, using the Gompertz curve andBayesian hierarchical models.

Jaksons R. 1,2 Moltchanova E. 1

17 June 2019

1University of Canterbury

2 Instititue of Environmental Science Research (ESR)

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Page 2: Modellingthepopulationemergencedynamicsofthewesterncorn ... · Modellingthepopulationemergencedynamicsofthewesterncorn rootworm,Diabroticavirgiferavirgifera,usingtheGompertzcurveand

The Problem

(a) The beetle (b) The corn

sourced from: a. https://en.wikipedia.org/wiki/Western_corn_rootworm b. https://www.penmai.com/community/threads/makka-cholam-and-cholam.84211/

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Page 3: Modellingthepopulationemergencedynamicsofthewesterncorn ... · Modellingthepopulationemergencedynamicsofthewesterncorn rootworm,Diabroticavirgiferavirgifera,usingtheGompertzcurveand

The Problem

(c) The beetle (d) The corn

sourced from: a. https://en.wikipedia.org/wiki/Western_corn_rootworm b. https://www.penmai.com/community/threads/makka-cholam-and-cholam.84211/

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Page 4: Modellingthepopulationemergencedynamicsofthewesterncorn ... · Modellingthepopulationemergencedynamicsofthewesterncorn rootworm,Diabroticavirgiferavirgifera,usingtheGompertzcurveand

Implications

(e) The spread (f) The destruction (g) The farmer

sourced from: d. https://www.vectorstock.com/royalty-free-vector/country-farmer-cartoon-vector-2115095 e.https://agriculturewire.com/western-corn-rootworm-resistance-to-bt-corn-confirmed-in-more-illinois-counties/

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Page 5: Modellingthepopulationemergencedynamicsofthewesterncorn ... · Modellingthepopulationemergencedynamicsofthewesterncorn rootworm,Diabroticavirgiferavirgifera,usingtheGompertzcurveand

Implications

(h) The spread (i) The destruction (j) The farmer

sourced from: d. https://www.vectorstock.com/royalty-free-vector/country-farmer-cartoon-vector-2115095 e.https://agriculturewire.com/western-corn-rootworm-resistance-to-bt-corn-confirmed-in-more-illinois-counties/

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Page 6: Modellingthepopulationemergencedynamicsofthewesterncorn ... · Modellingthepopulationemergencedynamicsofthewesterncorn rootworm,Diabroticavirgiferavirgifera,usingtheGompertzcurveand

Implications

(k) The spread (l) The destruction (m) The farmer

sourced from: d. https://www.vectorstock.com/royalty-free-vector/country-farmer-cartoon-vector-2115095 e.https://agriculturewire.com/western-corn-rootworm-resistance-to-bt-corn-confirmed-in-more-illinois-counties/

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Page 7: Modellingthepopulationemergencedynamicsofthewesterncorn ... · Modellingthepopulationemergencedynamicsofthewesterncorn rootworm,Diabroticavirgiferavirgifera,usingtheGompertzcurveand

What do we want to know

• Goal is to understand populations dynamics• What environmental factors affects• How do these dynamics change over space and time?

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Page 8: Modellingthepopulationemergencedynamicsofthewesterncorn ... · Modellingthepopulationemergencedynamicsofthewesterncorn rootworm,Diabroticavirgiferavirgifera,usingtheGompertzcurveand

What do we want to know

• Goal is to understand populations dynamics• What environmental factors affects• How do these dynamics change over space and time?

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Page 9: Modellingthepopulationemergencedynamicsofthewesterncorn ... · Modellingthepopulationemergencedynamicsofthewesterncorn rootworm,Diabroticavirgiferavirgifera,usingtheGompertzcurveand

What do we want to know

• Goal is to understand populations dynamics• What environmental factors affects• How do these dynamics change over space and time?

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Page 10: Modellingthepopulationemergencedynamicsofthewesterncorn ... · Modellingthepopulationemergencedynamicsofthewesterncorn rootworm,Diabroticavirgiferavirgifera,usingtheGompertzcurveand

What can we use?

• Bayesian Hierarchical models• incorporating the Gompertz curve to understand the dynamics• add spatial effects to evaluate diferences over space

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Page 11: Modellingthepopulationemergencedynamicsofthewesterncorn ... · Modellingthepopulationemergencedynamicsofthewesterncorn rootworm,Diabroticavirgiferavirgifera,usingtheGompertzcurveand

What can we use?

• Bayesian Hierarchical models• incorporating the Gompertz curve to understand the dynamics• add spatial effects to evaluate diferences over space

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Page 12: Modellingthepopulationemergencedynamicsofthewesterncorn ... · Modellingthepopulationemergencedynamicsofthewesterncorn rootworm,Diabroticavirgiferavirgifera,usingtheGompertzcurveand

What can we use?

• Bayesian Hierarchical models• incorporating the Gompertz curve to understand the dynamics• add spatial effects to evaluate diferences over space

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Page 13: Modellingthepopulationemergencedynamicsofthewesterncorn ... · Modellingthepopulationemergencedynamicsofthewesterncorn rootworm,Diabroticavirgiferavirgifera,usingtheGompertzcurveand

What can we use?

• Bayesian Hierarchical models• incorporating the Gompertz curve to understand the dynamics• add spatial effects to evaluate diferences over space

13

Page 14: Modellingthepopulationemergencedynamicsofthewesterncorn ... · Modellingthepopulationemergencedynamicsofthewesterncorn rootworm,Diabroticavirgiferavirgifera,usingtheGompertzcurveand

What can we use?

• Bayesian Hierarchical models• incorporating the Gompertz curve to understand the dynamics• add spatial effects to evaluate diferences over space

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Page 15: Modellingthepopulationemergencedynamicsofthewesterncorn ... · Modellingthepopulationemergencedynamicsofthewesterncorn rootworm,Diabroticavirgiferavirgifera,usingtheGompertzcurveand

Special Thanks

• Claude McCarthy Fellowship

• NZ Graduate Women Canterbury - Student Travel Grant

• Australian and New Zealand Industrial Applied Mathematics - Student Travel Award

• University of Canterbury and ESR Postgraduate Scholarship

• Prof. Erwin Schmid and Katharina Falkner

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