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ASRB Agricultural Research Service Crop Forecasting, Weather-Based Models & Non-linear Growth Models: practice questions

ASRB Agricultural Research Service (ARS) - Agricultural Statistics scientist · India · Agricultural Scientists Recruitment Board (ICAR)

Original practice questions written to the published syllabus · not past papers
10worked here, free
57written to this exam in this subject
9syllabus units

What this subject covers

Forecasting harvests before they happen: Fisher's regression integral and weather-indices models, pre-harvest forecasts from biometric characters and farmers' appraisal, agro-meteorological and remote-sensing models, non-linear growth curves (logistic, Gompertz, Richards), and how statistical and crop-simulation models are combined.

In the exams: AICE-JRF Agricultural Meteorology 'statistical models' (present); ICAR MSc/PhD core in modelling; national crop-forecasting programmes (applied); light in national exams

Where the 57 questions fall

How our questions for ASRB Agricultural Research Service spread across the units of Crop Forecasting, Weather-Based Models & Non-linear Growth Models. Difficulty: 22 easy, 35 medium, 0 hard.

Pre-harvest forecasting: purpose and history8
Non-linear growth models: logistic, Gompertz, Monomolecular and Richards8
Evaluation of forecasts and their use in policy8
Models using plant biometric characters6
Farmers' eye estimates and appraisal-based forecasts6
Weather-based models: Fisher's regression integral and weather indices6
Agro-meteorological and composite models6
Remote-sensing-based yield forecasting with vegetation indices6
Fitting non-linear models: iterative estimation and goodness of fit3

10 practice questions, worked

Choose an answer, then open the working. Each explanation says why the right answer is right and why the others are not.

1 · Pre-harvest forecasting: purpose and history · easy

A district's forecast area under wheat is 85,000 hectares and its forecast yield is 3.2 tonnes per hectare. What is the forecast production?

  1. 26,563 tonnes
  2. 2,720,000 tonnes
  3. 272,000 tonnes
  4. 88,200 tonnes
Answer and working

C. 272,000 tonnes

Production = area x yield = 85,000 x 3.2 = 272,000 tonnes. Dividing area by yield gives 26,563; adding them gives a meaningless 88,200; 2,720,000 is a decimal slip.

Further reading: ICAR-IASRI crop forecasting reports; Fisher (1924)

2 · Pre-harvest forecasting: purpose and history · easy

In the traditional anna (annewari) system of crop assessment, what does a rating of 16 annas indicate?

  1. Half of a normal crop
  2. A complete crop failure
  3. Twice a normal crop
  4. A normal crop
Answer and working

D. A normal crop

The anna system expresses expected outturn in annas of a rupee, with 16 annas meaning a normal crop; lower values indicate shortfalls and are used in some states to declare scarcity.

Further reading: ICAR-IASRI crop forecasting reports; Fisher (1924)

3 · Pre-harvest forecasting: purpose and history · medium

In an objective yield survey of the kind run by the US national agricultural statistics service, what is collected?

  1. Satellite images classified into land cover only
  2. Plant counts and measurements in sample plots
  3. Farmers' opinions of expected price at harvest
  4. Total sales recorded by grain elevators each week
Answer and working

B. Plant counts and measurements in sample plots

Objective yield surveys lay out sample plots in fields and count and measure plants and fruit (ears, pods, bolls) to model yield, complementing farmer-reported surveys. Prices and elevator sales are not yield measurements.

Further reading: ICAR-IASRI crop forecasting reports; Fisher (1924)

4 · Farmers' eye estimates and appraisal-based forecasts · medium

Relief payments in a district depend on reported crop losses. What problem does this create for appraisal-based forecasts?

  1. Appraisals are then identical to crop-cutting yields
  2. Appraisals may be biased downwards by the incentive
  3. Appraisals can no longer be collected from farmers
  4. Appraisals become more accurate because farmers check carefully
Answer and working

B. Appraisals may be biased downwards by the incentive

When reported losses bring payments, farmers and officials may understate yields; the bias can change with policy, so calibration must be re-estimated each season.

Further reading: ICAR-IASRI crop forecasting reports; Cochran, Sampling Techniques (double sampling)

5 · Farmers' eye estimates and appraisal-based forecasts · medium

Weekly crop-condition ratings report the share of a crop in classes from very poor to excellent. How are they turned into a yield forecast?

  1. By assuming excellent equals the maximum yield ever recorded
  2. By using them as weights for the weather indices directly
  3. By averaging the ratings and multiplying by the area sown
  4. By regressing past final yields on past condition shares
Answer and working

D. By regressing past final yields on past condition shares

Condition ratings are subjective; their link to yield is estimated from past years by regressing final yields on the shares or an index built from them, the same calibration logic as for appraisals.

Further reading: ICAR-IASRI crop forecasting reports; Cochran, Sampling Techniques (double sampling)

6 · Remote-sensing-based yield forecasting with vegetation indices · medium

Which sensor type is preferred for mapping monsoon (kharif) rice when optical images are cloud-covered?

  1. Optical multispectral sensors at higher resolution
  2. Thermal infrared cameras on aircraft
  3. Synthetic aperture radar
  4. Night-time lights imagery
Answer and working

C. Synthetic aperture radar

SAR is an active microwave sensor that sees through cloud; flooded rice fields at transplanting have a distinctive backscatter, which makes SAR the standard tool for kharif rice.

Further reading: Jones, Plants and Microclimate; remote-sensing crop monitoring literature

7 · Non-linear growth models: logistic, Gompertz, Monomolecular and Richards · medium

For a logistic curve with asymptote K = 100 g per plant and rate r = 0.5 per week, what is the maximum absolute growth rate?

  1. 18.4 g per plant per week
  2. 25.0 g per plant per week
  3. 50.0 g per plant per week
  4. 12.5 g per plant per week
Answer and working

D. 12.5 g per plant per week

dY/dt = rY(1 - Y/K) is greatest at Y = K/2, giving rK/4 = 0.5 x 100/4 = 12.5. rK = 50 forgets the (1 - Y/K) factor; rK/e is the Gompertz maximum rate.

Further reading: Ratkowsky, Nonlinear Regression Modeling; Seber and Wild, Nonlinear Regression

8 · Non-linear growth models: logistic, Gompertz, Monomolecular and Richards · easy

Which growth model has no inflection point, with the growth rate highest at the start and declining steadily?

  1. The Richards model with shape parameter 1
  2. The logistic model
  3. The Gompertz model
  4. The monomolecular model
Answer and working

D. The monomolecular model

The monomolecular (Mitscherlich) model dY/dt = r(K - Y) gives a concave curve with no inflection. The logistic, Gompertz and Richards (m = 1 is the logistic) are sigmoid.

Further reading: Ratkowsky, Nonlinear Regression Modeling; Seber and Wild, Nonlinear Regression

9 · Evaluation of forecasts and their use in policy · medium

Over ten years, a ministry's first advance estimate of rice production has been revised downwards in nine years. What does this suggest?

  1. Final estimates are always wrong
  2. Revisions prove the system is functioning perfectly
  3. Early estimates have a systematic upward bias
  4. Early estimates are unbiased but noisy
Answer and working

C. Early estimates have a systematic upward bias

Revisions consistently in one direction indicate bias in early estimates; users will learn to discount them, and the method needs correction.

Further reading: Hyndman and Athanasopoulos, Forecasting: Principles and Practice; ICAR-IASRI reports

10 · Evaluation of forecasts and their use in policy · medium

Why should forecast accuracy be reported separately at district and state level?

  1. Errors partly cancel when districts are summed
  2. District forecasts are always more accurate than state forecasts
  3. Aggregation always increases percentage errors
  4. State-level errors cannot be computed
Answer and working

A. Errors partly cancel when districts are summed

Independent district errors partly offset in the sum, so a system can be accurate for a state and poor for districts; users at each level need the relevant accuracy.

Further reading: Hyndman and Athanasopoulos, Forecasting: Principles and Practice; ICAR-IASRI reports

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Read the subject

Crop Forecasting, Weather-Based Models & Non-linear Growth ModelsThe full study manual, free ASRB Agricultural Research ServiceFormat, sections and how it has changed

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ICAR AICE-JRF/SRF · IndiaASRB NET · IndiaICAR-IASRI MSc and PhD · India

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