ICAR-IASRI MSc and PhD (Agricultural Statistics, Computer Application, Bioinformatics) · India · ICAR-Indian Agricultural Statistics Research Institute with the IARI Graduate School
Original practice questions written to the published syllabus · not past papersForecasting 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
ICAR-IASRI MSc and PhD programmes
Developing and validating district-level forecast models, fitting logistic, Gompertz and Richards models with iterative methods, composite and remote-sensing models, and calibration and evaluation of crop simulation models.
How our questions for ICAR-IASRI MSc and PhD spread across the units of Crop Forecasting, Weather-Based Models & Non-linear Growth Models. Difficulty: 6 easy, 16 medium, 18 hard.
| Crop simulation models and their statistical calibration | 10 | |
| Machine-learning and hybrid forecasting models | 9 | |
| Fitting non-linear models: iterative estimation and goodness of fit | 6 | |
| Weather-based models: Fisher's regression integral and weather indices | 3 | |
| Remote-sensing-based yield forecasting with vegetation indices | 3 | |
| Models using plant biometric characters | 2 | |
| Farmers' eye estimates and appraisal-based forecasts | 2 | |
| Non-linear growth models: logistic, Gompertz, Monomolecular and Richards | 2 | |
| Pre-harvest forecasting: purpose and history | 1 | |
| Agro-meteorological and composite models | 1 | |
| Evaluation of forecasts and their use in policy | 1 |
Choose an answer, then open the working. Each explanation says why the right answer is right and why the others are not.
In double sampling, farmers' appraisals average 24.0 q/ha in a large first-phase sample. In a sub-sample, appraisals average 22.0 q/ha and crop-cutting yields average 25.0 q/ha, with a regression slope of yield on appraisal of 0.9. What is the regression estimate of mean yield?
C. 26.8 q/ha
y-reg = y-bar(sub) + b(x-bar(large) - x-bar(sub)) = 25.0 + 0.9 x 2.0 = 26.8. 25.0 ignores the first phase; 27.3 is the ratio estimator; 27.0 assumes a slope of 1.
Further reading: ICAR-IASRI crop forecasting reports; Cochran, Sampling Techniques (double sampling)
When does combining forecasts from weather, remote-sensing and biometric models reduce error most?
B. When the sources carry different information and their errors are not highly correlated
Combining averages out independent errors; if errors are highly correlated there is little gain, and choosing weights on the test years is leakage.
Further reading: FAO agro-meteorological crop monitoring methods
Which index was designed to reduce the influence of soil background on vegetation indices in sparse canopies?
D. Soil-Adjusted Vegetation Index (SAVI)
SAVI adds a soil-adjustment constant to the NDVI formula to reduce soil brightness effects where the canopy is sparse. NDWI targets water content; LST is thermal.
Further reading: Jones, Plants and Microclimate; remote-sensing crop monitoring literature
In the Richards model Y = K(1 + b exp(-rt))^(-1/m), which special case is obtained with m = 1?
A. The logistic model
With m = 1 the formula is K/(1 + b exp(-rt)), the logistic. The Gompertz is the limit as m tends to 0; the monomolecular corresponds to m = -1 with b negative.
Further reading: Ratkowsky, Nonlinear Regression Modeling; Seber and Wild, Nonlinear Regression
Why is a fitted asymptote K unreliable when growth data cover only the early, nearly exponential phase?
A. Few data lie near the plateau
In the early phase several combinations of K and r fit almost equally well, so K has a huge standard error and is highly correlated with r. Extrapolating to final size is unreliable.
Further reading: Ratkowsky, Nonlinear Regression Modeling; Seber and Wild, Nonlinear Regression
Why is R-squared a weak criterion for comparing non-linear growth models?
C. It lacks the usual sum-of-squares decomposition
For non-linear models the total sum of squares does not split into regression and residual parts as in linear regression; RMSE, residual plots and information criteria are preferred.
Further reading: Bates and Watts, Nonlinear Regression Analysis; Seber and Wild, Nonlinear Regression
What do crop simulation models such as the CERES models in DSSAT compute?
B. Daily crop growth from weather, soil, management and cultivar data
Process-based simulation models step through the season day by day, simulating phenology, biomass, partitioning, and soil water and nitrogen balances.
Further reading: Wallach, Makowski, Jones and Brun, Working with Dynamic Crop Models
Which crop simulation model was developed by FAO with a focus on yield response to water?
A. AquaCrop
AquaCrop is FAO's water-driven crop model. CROPGRO is the DSSAT legume model, WOFOST is used in the EU's crop monitoring, and InfoCrop was developed in India.
Further reading: Wallach, Makowski, Jones and Brun, Working with Dynamic Crop Models
A random forest forecasts district yields with very high accuracy under random 10-fold cross-validation, but performs poorly in the next season. What is the most likely reason?
D. Folds leaked correlated years and districts
Yields are correlated in time and space; random folds put the same year or nearby districts in both training and test sets, inflating accuracy. Leave-one-year-out or forward validation is honest.
Further reading: Zhang (2003); Wallach et al., Working with Dynamic Crop Models
A government is deciding whether to permit wheat exports using a forecast. Why should the forecast be issued with an uncertainty range?
D. The costs of over- and under-estimating differ, and decision-makers must weigh the risk of each
Overestimating may lead to exports followed by costly imports; underestimating may trigger unnecessary imports that depress farm prices. Decisions under asymmetric costs need the distribution, not just a point.
Further reading: Hyndman and Athanasopoulos, Forecasting: Principles and Practice; ICAR-IASRI reports
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